It is given that, for the three-digit numbers (abb) and (baa), and the two-digit number (aa), (abb) + (aa)+1=(baa). What is a + b?

Answers

Answer 1

It is given that, for the three-digit numbers (abb) and (baa), and the two-digit number (aa), (abb) + (aa)+ 1 = (baa).

Therefore, a + b = 5 + 4 = 9

Digit Number :

A number is an individual number used to represent a value in mathematics. 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are used in various combinations and repetitions to represent all values ​​in mathematics. Ten digits from 0 to 9 can be represented by symbols called digits.

In mathematics, each digit of a number has a numeric value. A place value can be defined as a value represented by a number of digits depending on the position of the digit.

For example, 7th place in 3743 is 700 or 700. But 7432's 7th place is 7000 or 7000. Here, the number 7 is the same in both digits, but the place value changes depending on the position.

Now,

A + 8 = 3, then A has to be 5 because unit digit of the sum has to be 3.

There is a carry-over of 1.

So, 4+ 9+ 1 = 14

A = 5, B = 4 and C=1

Therefore, a + b

                 = 5 + 4 = 9

Complete Question :

Find the values of the letters in the following and give reasons for the steps involved.

     4  A

+   9  8  

_________

​  C  B  3

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Related Questions

A rectangular dining room has an area of 42 square meters. Its perimeter is 26 meters. What
are the dimensions of the dining room?

Answers

The dimension of rectangular dining room measures length 24.3 and breadth  1.73 metres.

What does dimension explain?

In mathematics, dimensions refer to the length or width of an area, region, or space in one direction. It is just the measurement of something's length, width, and height. Length, breadth, and height are common ways to describe dimensions.

What are the three dimensions of us?

Our world has three dimensions.

Height, length, and width are the three dimensions that define everything around us, including the homes we live in and the everyday items we use.

Length, breadth, and height are the common three dimensions that can be described in three distinct ways.

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Ayuda:
La capacidad de una memoria USB es de 49\8 GB. Cuantos GB enteros contiene?

Answers

The USB stick contains 6 whole GB

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that the capacity of a USB stick is 49/8 GB.

Given is the expression as -

49/8

Dividing, we get -

6.125

6 + 0.125

where 6 is a whole number while 0.125 is a decimal.

Therefore, the USB stick contains 6 whole GB.

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{Question in english -

Aid:

The capacity of a USB stick is 49\8 GB. How many whole GB does it contain?}

suppose a group completes a hike from the camp to the waterfall to the meadow and back to camp at n average rate 4.5 kilometers per hours

Answers

The distances of the following places are:

Camp → waterfall = 2.25 km

waterfall → meadow = 4.5 km

meadow → camp = 9 km

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Places traveled:

Campwaterfallmeadowcamp.

We are assuming the time taken as follows:

Camp → waterfall = 30 minutes = 0.5 hour

waterfall → meadow = 1 hour

meadow → camp = 2 hours.

Now,

Speed = 4.5 km per hour.

Speed = Distance / Time

So,

The distance between camp → waterfall.

= 4.5 x 0.5

= 2.25 km

The distance between the waterfall → meadow.

= 4.5  x 1

= 4.5 km

The distance between the meadow → camp.

= 4.5 x 2

= 9 km.

Thus,

The distances are:

Camp → waterfall = 2.25 km

waterfall → meadow = 4.5 km

meadow → camp = 9 km

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cory has to pick out an outfit to wear for school. he has 5 pairs of pants to pick from, 18 shirts , and 3 pairs of shoes how many different outfits can cory make?

Answers

The number of different outfits cory can make is 270 ways.

What is the combination?

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangements is called a combination. The various ways in which objects from a set may be selected, generally without replacement to form subsets is known as combination.

Given;

He has 5 pairs of pants to pick from, 18 shirts , and 3 pairs of shoes

Now, the combination;

=5*18*3

=270

Therefore, the combinations will be 270.

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Find the difference of (-x^2 + 9xy) - (x^2 + 6xy - 8y^2)

Answers

Difference of (-x² + 9xy) and  (x² + 6xy - 8y²) is - 2x² + 3xy + 8y².

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Given expression,

(-x² + 9xy) - (x² + 6xy - 8y²)

Distributing negative sign

-x² + 9xy - x² - 6xy + 8y²

Adding like terms

- 2x² + 3xy + 8y²

Hence, - 2x² + 3xy + 8y² is the difference of (-x² + 9xy) and (x² + 6xy - 8y²).

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committee of 50 politicians is to be chosen from among the 100 u.s. senators. if the selection is done at random, what is the probability that each state will be represented?

Answers

The required probability is 0.112 × [tex]10^-^1^3[/tex]

Combinations:

In the combination, ordering of items does not consider important when we need to determine the number of ways to select the _k_ items from the total _m_ items. There will be two cases in selecting the items- one in which repetition allowed, and the other is repetition not allowed.

Total Number of US senators (n) =100

Number of politicians to be chosen (r) = 50

Total number of ways in which 50 politicians can be chosen from 100 senators is:

[tex]C^n_r = C^1^0^0_5_0[/tex]

Number of senators in each US state = 2.

The number of ways in which senator can be chosen such that each state is represented = [tex]2_C_1[/tex]

Thus, the number of ways in which senator can be chosen for 50 states is:

[tex](2_C_1)^5^0[/tex]

Let A be an event that a politician is chosen such that each state is represented.

P(A) = [tex]\frac{2^5^0}{100_C_5_0}[/tex]

By solving, we get:

P(A) = 0.112 × [tex]10^-^1^3[/tex]

Hence, the required probability is 0.112 × [tex]10^-^1^3[/tex]

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A circle is drawn. Two points are marked outside the circle such that only 3 tangents can be drawn to the circle using these two points.
Which of the following is true based on the above information?
A) All 3 tangents are equal in length.
B) Both the points lie on one of the tangents.
C) The tangents and the circle have two common points in total.
D) (such a situation is not possible as with 2 points, there will be 4 tangents to the circle)

Answers

Answer:

D) (such a situation is not possible as with 2 points, there will be 4 tangents to the circle)

It should be D if I’m not wrong

Charlie has a utility function U(A, B) = AB, the price of apples is $1, and the price of bananas is $2. If Charlie’s income were $120, how many units of bananas would he consume if he chose the bundle that maximized his utility subject to his budget constraint? * 1 point a. 30 b. 15 c. 60 d. 6 e. 90

Answers

Charlie would consume 30 units of bananas if he chose the bundle that maximized his utility function subject to his budget constraint There for the answer is option A

Charlie's utility function is given by U(A, B) = AB, where A is the number of apples he consumes and B is the number of bananas he consumes. The price of apples is $1, and the price of bananas is $2.

If Charlie's income is $120, he has a budget constraint given by:

1A + 2B = 120

To maximize his utility subject to this budget constraint, Charlie must use his income to purchase the combination of apples and bananas that gives him the greatest value of U(A, B).

The solution to this problem can be found by using the method of Lagrange multipliers. From the budget constraint, we can solve for A in terms of B:

A = 120 - 2B

Substituting this into the utility function, we have:

U(B) = (120 - 2B)B = 120B - 2B^2

To maximize U(B), we must find the value of B that maximizes this expression. Taking the derivative of U(B) with respect to B and setting it equal to zero, we find that:

dU/dB = 120 - 4B = 0

Solving for B, we find that:

B = 30

Thus, if Charlie chose the bundle that maximizes his utility subject to his budget constraint, he would consume 30 units of bananas. The answer is therefore a. 30.

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A type of Dark Chocolate is made by mixing cocoa and cocoa butter in the ratio 5 to 2. Let C be an unspecified number of grams of cocoa, which vary, and let B be the corresponding number of grams needed to make that type of dark chocolate. Reason about quantities and use math drawings to explain three different equations that relate C and B (and do not include any other variables)

Answers

Here are three different equations that relate C and B:

1. B = (2/7) * C

2. B/C = 2/5

3. 5C = 2B

Different Equation Divided

1. B = (2/7) * C

Since the ratio of cocoa to cocoa butter is 5:2, we can write 5 + 2 = 7, which represents the total number of parts. Dividing 2 by 7, we get 2/7, which represents the fraction of cocoa butter in the mixture. To find the number of grams of cocoa butter needed for C grams of cocoa, we multiply C by 2/7.

2. B/C = 2/5

Dividing the number of grams of cocoa butter (B) by the number of grams of cocoa (C), we get the ratio of cocoa butter to cocoa, which is 2/5.

3. 5C = 2B

Since the ratio of cocoa to cocoa butter is 5:2, we can write the equation 5 * C = 2 * B, which represents the number of parts of cocoa to the number of parts of cocoa butter. Solving for B in terms of C, we get B = (2/5) * C.

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Two radio towers have been positioned 8 miles apart at points A and B. Point D is located exactly 4 miles from point A. The third tower will be placed at point C so that all three towers are equidistant from each other.

What should be the distance from the third tower to point D? Round the answer to the nearest tenth of a mile.

Answers

Answer:

7 miles

Step-by-step explanation:

Let's call the distance from point C to point D as "x".

We know that the distance from A to B is 8 miles, and the distance from A to D is 4 miles. To ensure that all three towers are equidistant from each other, the distance from C to B must be equal to 8 miles.

Using the Pythagorean Theorem, we can find the distance from C to D:

(x)^2 + (4)^2 = (8)^2

Expanding and simplifying the equation:

x^2 + 16 = 64

x^2 = 48

x = sqrt(48) = 6.928

So the distance from the third tower to point D is approximately 6.9 miles (rounded to the nearest tenth of a mile).

Answer:

6.9 miles

Step-by-step explanation:

Since the distance between points A and B is 8 miles, and point C is equidistant from points A and B, triangle ABC is an equilateral triangle with side lengths of 8 miles.

As point D is 4 miles from point A, point D is the midpoint of AB.

Therefore, the distance between point C and point D is the altitude of the triangle.

The formula for the altitude of an equilateral triangle is:

[tex]h=\dfrac{\sqrt{3}}{2}s[/tex]

where s is the the side length.

Therefore, the altitude of an equilateral triangle with side length 8 miles is:

[tex]\implies h=\dfrac{\sqrt{3}}{2} \cdot 8[/tex]

[tex]\implies h=4\sqrt{3}[/tex]

[tex]\implies h=6.9\; \sf miles\;(nearest\;tenth)[/tex]

Therefore, the distance from the third tower C to point D is 6.9 miles to the nearest tenth of a mile.

two furniture stores sell a recliner that has a price of $360. Store A discounts the recliner by $150 and then adds 7.5% sales tax. Store B adds the tax first then takes the discount. Are the Selling Prices the same? Justify your answer

Answers

Answer:

no

Step-by-step explanation:

A: 360 -150 = 210 * (1+7%) = 224.7

B: 360 * 1.07  -150 =385.2 -150 =235.2

8x+y=-16 - -3x+ y= 5

Answers

(x , y)= (-16/5, 153/5)

Find the length side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer:

50.1

Step-by-step explanation:

let the height = h

so because that angle is 62 so it's supplemental angle in left triangle is 28°

in any triangle, the tangent of an angle is opposite/adjacent

so height/28 = tan28° =0.53

so height = 14.8

in any triangle, the sine of an angle is opposite/hypotenuse

so height / x = sin 38°

so x = 14.8 / sin 38° = 14.8/0.296 =50.1

Write a sentence to describe how you calculated the cost of Nadine's order

Answers

The cost of Nadine's order was found by multiplying the number of t - shirts she ordered, by their individual cost, and then deducting the value of the coupon.

How to find the cost of the order ?

The order was that Nadine bough4 t - shirts for her class club from a website.

Each of these shirts cost $ 10. 95. But, Nadine gets a coupon of $ 12. 50 to be deducted from the total order.

To find the cost therefore, we can multiply the cost of the shirts and the number of shirt and then deduct the value of the coupon as shown in the formula :

= ( Cost of shirt x Number of shirts ) - coupon

= ( 10. 95 x 4 ) - 12. 50

= $ 31. 30

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The full question is:

Nadine ordered 4 t-shirts for her class club form a website. Each shirt is $10.95 and Nadine has a coupon for $12.50 off her total order. Write a sentence to describe how you calculated the cost of Nadine's order.

At 10:00 a.m., two boys start out on their bikes to meet each other from towns located
68 miles apart. They meet at 1:00 p.m. If one boy traveled 3 miles per hour faster than
the other, what was the speed of each boy?

Answers

Answer:

Below

Step-by-step explanation:

From 10 am to 1 pm is three hours

  the boys covered distance =  68 miles in 3 hours  

x = rate1

x+3 = rate2

rate  X   time   = distance

(x   +    x+3)  X  3  = 68

6x+9 = 68

6x = 59

x = 9  5/6 mph     then the other rate is x+3 = 12  5/6 mph

Answer: 9.833...

Step-by-step explanation:

The boys traveled a combined 68 miles in 3 hours (difference between 10am and 1pm). This makes their combined speed equal to 68/3.

We can make this equation to model how that combined speed breaks down between them:

68 miles/3 hours = (3 + x) miles/1 hour + x miles/1 hour

To solve:

68/3 = (3 + x) + x

68 = (3 + 2x) * 3

68 = 9 + 6x

59/6 = x

9.833... = x

A rug is 6 7/8
feet long and w feet wide. Which expression does NOT represent the perimeter of the rug in feet?

Answers

An expression which does not represent the perimeter of the rug in feet include the following: C. 2(6 7/8) + w.

How to calculate the perimeter of a rectangle?

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.

Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;

P = 2(6 7/8 + W)

P = 2(6 7/8) + 2W = 2W + 13 6/8

P = 6 7/8 + W + 6 7/8 + W

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The solution to a system of equations for this situation is (2,5). Explain what the solution says about the trees.

Answers

In any case, the solution (2,5) is a specific point that satisfies both equations in the system. It tells us that at this particular point, whatever the equations are describing about trees is true.

A location in the coordinate plane that satisfies both equations is typically what a solution to a system of equations in two variables refers to.

If the set of equations in this case has anything to do with trees, we could interpret the answer (2,5) as indicating that there are two different types of trees and five of each type. As an alternative, the equations can reflect the development or health of trees, and the answer (2,5) might point to a certain period of time or place when both varieties of trees are at a given stage of development or health.

In any case, the system's solution (2,5) is a particular location that satisfies both of the system's equations. It indicates that whatever the equations' descriptions of trees are at this specific time are accurate. The answer can shed light on how the system of equations behaves and how it connects to trees, but it does not always reveal information about other locations or circumstances.

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Task in the picture.

Answers

Addition And Subtraction

1.) -27+68-56+61= 46

2 ) 4.17-9.42+0.2= -5. 05

3 ) 3.1+(-4.72)+(-8.12)-(-0.96)=-8.78

4 ) -18.31-6.27+(-8.44)-(-31.67)=-1. 35

5 ) 6 5/12 - (-4 2/3)8 + (-2 3/4)= 5/12

6 ) 4 1/8 - 6 2/9+ (-3 1/6) - (-5 3/4)= -49/72

How to calculate arithmetic operation

1.) -27+68-56+61=

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

2 ) 4.17-9.42+0.2= -5. 05

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

3 ) 3.1+(-4.72)+(-8.12)-(-0.96)=-8.78

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

But it should be noted that before the number (-0.96) there is a negative sign (-) so you need to multiply the sign with the number in brackets. In this case the result is . positive.

4 ) -18.31-6.27+(-8.44)-(-31.67)=-1. 35

Because in this arithmetic operation there is only addition and subtraction, it can be calculated starting from anywhere.

But it should be noted that before the numbers (-8.44) and (-31.67) there is a negative sign (-) so you need to multiply the sign with the number in brackets. In this case the result is positive.

5 ) 6 5/12 - (-4 2/3) + (-2 3/4)= 5/12

In question number 5, it involves mixed fractions. To do this, you can change mixed fractions to improper fractions.

6 ) 4 1/8 - 6 2/9+ (-3 1/6) - (-5 3/4)= -49/72

In question number 6, it involves mixed fractions. To do this, you can change mixed fractions to improper fractions.

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which expression is equivalent to 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a

Answers

The equivalent expression to 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a is 6/5a + 2/3b - 7/6b + 1/8.

Expression is a mathematical phrase that can contain numbers, variables, and operators.

An equivalent expression is a different expression that has the same value as the original expression. In this question, we need to find an equivalent expression to 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a.

Let's start by simplifying the fractions in the expression. We can see that 4/5a and 2/5a have a common denominator of 5a. We can add these two fractions by finding a common denominator and then adding the numerators. The equivalent fraction to 4/5a + 2/5a is 6/5a.

Next, we can simplify the expression by combining like terms, which are terms that have the same variable and coefficient.

The equivalent expression to

=> 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a = 6/5a + 2/3b - 7/6b - 3/4 + 1/8.

Finally, we can simplify the expression by combining the constants, which are terms without variables. The equivalent expression to

=> 6/5a + 2/3b - 7/6b - 3/4 + 1/8

after combining constants is

=> 6/5a + 2/3b - 7/6b + 1/8.

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Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.

Answers

The value of x of the parallelogram is x = 38

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the diagonals of the parallelogram are AC and BD

The measure of DE = 31

The measure of EB = x - 7

Now , Each diagonal of a parallelogram separates it into two congruent triangles where the measure of AC = BD

So , substituting the values in the equation , we get

BD = BE + DE and BE = DE

On simplifying the equation , we get

31 = x - 7

Adding 7 on both sides of the equation , we get

x = 31 + 7

x = 38

Hence , the measure of x of parallelogram is 38

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i grow 2 cupcakes every 8 hours for 24 hours
how many cupcakes grow?

Answers

At the end of 24 hours, 48 cupcakes will have grown. Every 8 hours, two cupcakes are grown, so after 24 hours, 24 sets of two cupcakes have been grown. Therefore, 48 cupcakes have grown.

At the end of 24 hours, 48 cupcakes will have grown. This is because every 8 hours, two cupcakes are grown. After 24 hours, 24 sets of two cupcakes have been grown. This means that in the 24 hours, two cupcakes were grown a total of 24 times. When this total is multiplied by two, it results in 48 cupcakes being grown. Therefore, after 24 hours, 48 cupcakes have grown. It is important to note that this is only the number of cupcakes that have grown in the 24 hour period, and not the total number of cupcakes. This number includes any cupcakes that were already present at the beginning of the 24 hour period, so the total number of cupcakes at the end of the 24 hour period could be higher than 48.

1. Calculate the number of sets of cupcakes grown in 24 hours: 24 hours divided by 8 hours = 3 sets

2. Calculate the number of cupcakes grown in 24 hours: 3 sets multiplied by 2 cupcakes = 6 cupcakes

3. Calculate the total number of cupcakes grown in 24 hours: 6 cupcakes multiplied by 4 sets = 24 cupcakes

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A part-time receptionist made $9101.99 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
O A. $5451.99
OB. $0
OC. $248.01
OD. $3401.99

Answers

He had a taxable income of $-748.01 last year, which means he did not owe any federal income tax for the period.

What is simple interest?

The simple interest method, which always adds interest to the starting principal amount at the same rate for each time cycle, is a quick and easy way to calculate interest on money. Any bank where we deposit money will return our investment with interest. Simple interest is one of the several forms of interest that banks charge. Now, before going into any detail on the concept of fundamental curiosity,

The formula for simple interest is:

S = p*t*r/100

The part-time receptionist's taxable income would be calculated by deducting their exemptions and standard deduction from their gross income. The person's gross income was $9101.99. A $3650 exemption was requested by the person. They also qualified for a $5700 standard deduction.

We can figure out their taxable income by deducting the exemption and standard deduction from their gross income. $9101.99 - $3650 - $5700 = $-748.01 would be used to compute the taxable income.

Hence He had a taxable income of $-748.01 last year, which means he did not owe any federal income tax for the period.

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under ideal conditions a certain bacteria population is known to double every three hours. suppose that there are initially 200 bacteria. (a) what is the size of the population after 15 hours? bacteria

Answers

The size of the population after 15 hours is 6400 bacteria.

The size of the population after 15 hours can be found using the exponential growth formula. The formula for exponential growth is P = P₀ × 2^(t/k), where P₀ is the initial population, t is the time elapsed, k is the time it takes for the population to double, and 2^(t/k) is the exponential growth factor.

In this case, the initial population is 200, the time elapsed is 15 hours, and the time it takes for the population to double is 3 hours. Putting these values in the formula, we get:

P = 200 × 2^(15/3)

P = 200 × 2⁵

P = 200 × 32

P = 6400

So, the size of the population after 15 hours is 6400 bacteria.

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Roving had to pack 720 packs of milk into boxes of 24. At the end of the day , he completed 18 boxes . What fraction of the packs does he have remaining the following day? Express the fraction in its lowest terms.

Answers

Answer:

288/720 or simplified to its lowest is 2/5

Two trains leave the station at the same time, one is heading west and the other is east. The westbound train travels 10 miles per hour slower than the eastbound train. If the two trains are 900 miles apart after 5 hours, what is the rate of the westbound train? Do not do any rounding.

Answers

The rate of the westbound train is 85miles per hiur

What is velocity?

Velocity is the rate of change of displacement with time. It is measured in meter per second. It is a vector quantity.

Since the two trains move at the same time and in opposite directions, then the total displacement (d) = d1 - d2

900 = (vt)1 - (Vt)2

if v1 is the eastbound train velocity and v2 is the westbound train velocity

v1 = v2+10

they have thesame time of 5hours

therefore;

900 = (v2+10-(-v2)(5)

900 =( 2v2+10)5

divide both sides by 5

180 = 2v2 +10

2v2 = 170

v2 = 170/2

v2 = 85

therefore the rate of the westbound train is 85 miles per hour

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PLEASE ANSWER QUICKLY!!!!

My parents ordered some books.

My mom ordered 8 books for $19.85.

My dad ordered 6 books for $15.00.


​Who had the better/lower unit price?

Answers

Your mom had the better/lower unit price.

What is a unit price?

A unit price is the cost of a single unit of a product or item, usually expressed per unit of weight, volume, or length. It represents the cost per unit of measurement and allows for comparison of the cost of different products on an equal basis.

For example, the unit price of a bag of apples could be given as the cost per pound, so that a consumer can compare the cost of a 5-pound bag of apples at different stores.

The unit price for your mom's books is $19.85/8 books = $2.48 per book.

The unit price for your dad's books is $15.00/6 books = $2.50 per book.

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There are 45 students in a speech contest yesterday 2/3 of them gave their speeches today 1/5 of the remaining students gather speeches how many students still haven't got their speeches

Answers

Answer:

12

Step-by-step explanation:

45 total

2/3 * 45 = 30 gave speeches

so 15 remaining

1/5 *15 = 3 gave speeches

remaining 12 didn't

suppose 1/4 of your socks are blue. how many pairs of socks would you have to select randomly, on average, in order to get 4 pairs of blue socks?

Answers

To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.

The number of socks chosen at random will be denoted by the letter "n." Given by: The anticipated number of blue socks in "n" pairs

Expected number of blue socks = n * 1/4

In order for there to be four blue socks as expected, we need to determine the value of "n." Thus, we can construct the equation:

n * 1/4 = 4

And solving for n:

n = 4 / (1/4) = 4 * 4 = 16

So, To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.

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Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 23 gallons of gasoline to travel 713 miles. If the car travels 155 miles, how much gasoline does it need?

Answers

Answer:

Step-by-step explanation:

We can set up a proportion to solve for the unknown amount of gasoline needed:

distance traveled / amount of gasoline = constant

Let x be the amount of gasoline needed to travel 155 miles. Using the given information, we can set up the following proportion:

713 miles / 23 gallons = 155 miles / x

Simplifying, we get:

x = (155 miles * 23 gallons) / 713 miles

x = 5 gallons (rounded to the nearest gallon)

Therefore, the car needs 5 gallons of gasoline to travel 155 miles.

Simplify the expression. the linear expression quantity negative 1 over 7 times r minus 9 minus 2 over 3 times r end quantity minus the linear expression quantity negative 5 over 7 times r plus 10 end quantity

Answers

-1/7r - 9 - 2/3r - (-5/7r + 10)
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