fill in the missing numbers: c) -----, 3.840, 3.836, 3.832------,3.824, 3.820
d) 30.565, 31.065, 31.565, -----32.565, 33.065,

To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

Answer:

ehhhh

Step-by-step explanation:

Answer:

student tickets cost $4.50

adult tickets cost $7.00

Step-by-step explanation:

a = cost of an adult ticket

s = cost of a student ticket

(1)  68a + 136s = 1088

(2) 79a + 140s = 1183

solve (1) for a:

68a = 1088 - 136s

a = 16 - 2s    substitute this into (2):

79(16-2s) + 140s = 1183

1264 - 158s + 140s = 1183     solve for s:

-18s = -81

s = -81/-18 = 4.50   plug this into either equation 1 or 2 to solve for a:

68a + 136(4.50) = 1088

68a = 1088 - 612 = 476

a = 476/68 = 7.00

The height where the pumpkin lands on the hill is given as follows:

36 meters.

The equation for the pumpkin's height is given as follows:

y = -0.1x² + 4.9x.

The equation for the hill's height is given as follows:

y = 0.9x.

Hence the pumpkin will land on the hill at a time of:

-0.1x² + 4.9x = 0.9x.

Hence:

0.1x² - 4x = 0.

x(0.1x - 4) = 0.

0.1x - 4 = 0

x = 40.

The height is then given as follows:

y = 0.9(40)

y = 36 meters.

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The quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given that the ratio of ingredients for the recipe is 1: 2: 2: 4.

Let us suppose the syrup has a ratio of 1x, then the ratio of other ingredients are:

sugar = 2x

butter = 2x

oats = 4x

a. Tiger uses syrup, x = 60g

i. The quantity of butter that should be used is 2x = 2(60) = 120g.

ii. The total quantity of flapjacks would be:

x + 2x + 2x + 4x = 60 + 120 + 120 + 240 = 540g

b. Given that:

150g syrup = 8 flapjacks

x = 1 flapjack

Using the cross multiplication method, we have:

x = 150/8

x = 18.75g

So, for one flap jack the syrup needed is 18.75g, then the amount of oats would be: 4x = 4(18.75) = 75g.

Hence, the quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.

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If  Health and Fitness Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. The equation is 0.2(x+25)=13 and the number of squats is 40.

Let x represent  the number of squats Tyler currently have

Given the equation:

0.2(x + 25) = 13

Expanding the parentheses on the left side:

0.2x + 5 = 13

Subtracting 5 from both sides:

0.2x = 8.

Dividing both sides by 0.2 to isolate x:

x = 8/0.2

x = 40

Therefore  Tyler currently does 40 squats.

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Answer:

When using inverse operations with negative numbers, when you change subtraction to addition, the negative turns to a positive.

-8 - -10 can be changed to:

8 + 10

8 + 10 = 18

Step-by-step explanation:

Hope it helps! =D

Sorry took so log to answer. My internet is being slow some reason. -_-

Answer:

[tex]3\sqrt{1201}[/tex]

Step-by-step explanation:

assuming the missing side was the long side or the c side

[tex]a^{2} +b^2=c^2\\72^2+75^2=c^2\\5184+5625=10809\\\sqrt{10809}=3\sqrt{1201}[/tex]

Answer: Y=5

8x5=40

40x5=200

200x5=1000

etc..

The car is 7 feet long and the model is 16 inches long, the ratio of the length of the car to the length of the model is, 21:4  So Option D is correct

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

The car is 7 feet long

The model is 16 inches long

The ratio of the length of the car to the length of the model = ?

It is known that,

1 feet = 12 inches

Now, converting length of car into inches

⇒   7 feet =  7×12 inches = 84 inches

So, Ratio of lengths

⇒  84/16

⇒   21/4

Hence, the ratio is 21:4

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Complete question:

A model is made of a car. The car is 7 feet long, and the model is 16 inches long. What is the ratio of the length of the car to the length of the model?

a) 4:21

b) 7:16

c) 16:7

d) 21:4

Answer:

D. 29

Step-by-step explanation:

A. 10 = 2 × 5   not prime

B. 15 = 3 × 5   not prime

C. 27 = 3³   not prime

D. 29 = 1 × 29    prime

Answer:

29

Step-by-step explanation:

A prime number is a number that can't be divided by any number other than itself or 1.

10

1*10

2*5

5*2

10*1

NOT A PRIME NUMBER

15

1*15

3*5

5*3

15*1

NOT A PRIME NUMBER

27

1*27

3*9

9*3

27*1

NOT A PRIME NUMBER

29

1*29

29*1

PRIME NUMBER

The period of the sinusoidal function in this problem is given as follows:

5 units.

A periodic function is a function that has the behavior repeating in intervals over the domain.

Then the period of the function is defined as the shortest difference between two points in which the function has the same behavior.

One of the examples of the shortest difference in this problem is between x = 1 and x = 6, hence the period is calculated as follows:

6 - 1 = 5 units.

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Answer: 0.452 ÷ 2 = 0.226 is the correct answer. :)

Please answer my question too, i would appreciate it.

There are 30.90 meters squared of the field is not reached by the sprinkler.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

First, get the area of the square field. The area of the square is side multiplied by side.

A = S x S

A = 12 X 12

A = 144 meters squared

Second, get the area of the circle formed by the sprinkler.

The circle is formed inside the square with a radius of 6 meters (half of the diameter which is 12 meters).

A = πr²

A = 3.1415 x 6²

A = 113.09733 meters squared.

In order to get the not sprinkled area, subtract the area of the square by the area of the circle.

Hence, Not Sprinkled Area = 144 meters squared - 113.09733 meters squared

Thus, The final answer is 30.90 meters squared.

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The equivalent of a gallon (gal) is 16 cups, 8 pints, or 4 quarts. The biggest liquid measurement is this one.

The complete question is

What is the biggest measurement of liquid?

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Answer: b because i searched it up and thats what it is

Step-by-step explanation:

by using the paymdnt pkan, the total amount to pay is,

36 + 15×12

= £216

so saving 240-216 = 24. ( 10%)

so it is not 8% saving

Answer:

Subtract two angles together to get the answer 19.(22) 20.(12)

Answer:

Roughly around 764.15

Step-by-step explanation:

The equation to find area is A = π r^2

When you replace the values, you get A = π 15.6^2

15.6 squared is 243.36, so you end up with A = π x 243.36

Once you multiply them, you get 764.15, which is roughly the amount

Answer:

1) x=1/4Y-1/2   2) x=1/4Y-1/2

Step-by-step explanation:

x=1/4Y-1/2       x=1/4Y-1/2

-4x=2-Y           2x=-4-Y

x=-1/2+1/4Y     x=-2-1/2Y

x=1/4Y-1/2        x=1/4Y-1/2

P(B|A) = P(A and B) / P(A) = 0.10 / 0.57 = 0.1754.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It provides a framework for understanding the uncertainty and unpredictability of real-world events and helps to make informed decisions based on data and evidence.

The basic concept of probability is the idea that every event has a numerical value between 0 and 1, representing the likelihood of the event occurring. An event with a probability of 1 is considered certain to occur, while an event with a probability of 0 is considered impossible to occur. Events with probabilities between 0 and 1 are considered uncertain, and their likelihood of occurrence can be described using a probability distribution.

There are different methods for calculating probabilities, including classical probability, which assumes that all outcomes are equally likely, and empirical probability, which is based on actual observations of real-world events. The concept of conditional probability is also important, as it allows us to calculate the likelihood of an event occurring given the occurrence of another event.

Probability is widely used in many different fields, including science, engineering, finance, and medicine. In science, it is used to model and understand complex systems, while in engineering it is used to design and test new technologies. In finance, it is used to evaluate investments and make informed decisions, while in medicine it is used to assess the risk of diseases and evaluate the effectiveness of treatments.

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Answer:

a.

The growth rate (k) can be calculated using the exponential growth formula: P = P0 * e^(kt), where P0 is the initial population, t is the time in years, and e is the natural logarithm base.

From the information provided, the initial population of elves in 2000 was 23, and in 2003, the population was 34. By substituting the values into the formula and solving for k, we get:

34 = 23 * e^(k * 3)

Taking the natural logarithm of both sides:

ln(34) = ln(23 * e^(k * 3))

Using the logarithmic identity:

ln(34) = ln(23) + ln(e^(k * 3))

Solving for k:

k = (ln(34) - ln(23)) / (3) = 0.175

Therefore, the growth rate (k) for the population of elves is 0.175.

b.

To find the population of elves in 2020, we can use the exponential growth formula:

P = P0 * e^(kt)

Substituting the initial population of elves in 2000, which was 23, and the growth rate (k), which we found to be 0.175, we get:

P = 23 * e^(0.175 * 20)

Calculating the exponential function:

P = 23 * e^3.5

Therefore, there will be approximately 51 elves in 2020.

c.

To find the year when there will be 543 elves, we can use the exponential growth formula and solve for t:

543 = 23 * e^(0.175 * t)

Dividing both sides by 23 and taking the natural logarithm of both sides:

ln(543/23) = 0.175 * t

Solving for t:

t = (ln(543/23)) / 0.175

Therefore, there will be 543 elves in the year 2027.

i am not sure

The length of the side BC is 5 unit.

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}

Given:

A quadrilateral has vertices:

A(0, -3)

B(6, -3)

C(9, 1)

D(3, 1)

The length of the side BC = √{(x₂-x₁)² + (y₂-y₁)²}

= √{(9 - 6)² + (1 + 3)²}

= 5

Therefore, the length is 5 unit.

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The value in the blank are: 12/18 =12/18 =14/9.3 =18/27.

To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.

The given fractions are as follows:

12/18 =_/18 =14/_ =_/27

Taking the first two terms and applying cross multiplication we have:

12/18 =_/18

12(18)/ (18) = x

x = 12

Taking the next two terms:

12/18 =14/ y

Applying cross multiplication we have:

y = (14)(12)/ (18)

y = 9.3

Taking the third term and applying cross multiplication we have:

12/18 = z/27

z =12(27)/ 18

z = 18

Hence, the blanks are:

12/18 =12/18 =14/9.3 =18/27

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Hence Sequences 4, 16, 36, 64,.. are not arithmetic, however 40, 30, 20, 10,... are, with a common difference of -10 and the 52nd term being -490.

An arithmetic progression is defined as a constant discrepancy between terms that follow one another through a series. For instance, the number sequence 5, 7, 9, 11, 13, and 15 is an example of either an exponential manner with a limitation of two. A progression with a set tolerance between any consecutive numbers is referred to as a "arithmetic progression" (A.P.). Two types of mathematical progression are possible: series in mathematics with a finite length A finite geographic progression is a serie with a finite number of terms. The early, delayed, tolerance, and frequency of terms may all be calculated using the terms in the series.

given

First succession

4, 16, 36, 64,

The common difference must be the same for it to be considered AP.

It is not AP since 16 - 4  ≠  36 - 16.

Second succession;

40, 30, 20, 10, ...

common distinction =30 - 40 = 20 - 30 = 10 - 20 = -10

As a result, it will be an AP because the common difference is -10 and the same.

Now, The nth phrase of AP equals a plus (n - 1) d, where d is a typical difference and an is the initial term.

So, 52nd term = 40 + (52 - 1) (-10), which is -490.

Hence Sequences 4, 16, 36, 64,.. are not arithmetic, however 40, 30, 20, 10,... are, with a common difference of -10 and the 52nd term being -490.

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44 tourists only visited LEGOLAND (of these three).

Let's call the number of tourists who visited only LEGOLAND x.

From the information given, we know that:

258 tourists had visited the Magic Kingdom

299 tourists had visited Universal Studios

100 tourists had visited both the Magic Kingdom and LEGOLAND

82 tourists had visited both the Magic Kingdom and Universal Studios

76 tourists had visited both LEGOLAND and Universal Studios

12 tourists had visited all three theme parks

68 tourists did not visit any of these theme parks

We can calculate x as follows:

x = number of tourists who visited LEGOLAND only

number of tourists who visited LEGOLAND - number of tourists who visited LEGOLAND and Magic Kingdom - number of tourists who visited LEGOLAND and Universal Studios + number of tourists who visited all three parks

= 100 - 82 - 76 + 12

= 44

Hence, 44 tourists only visited LEGOLAND (of these three).

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Answer: D

Step-by-step explanation:

Srry, Im really bad at explaining but the answer is prob D

An equation that models the total number of hours which Laura babysits is l = d + 5.

In order to write an equation that model this situation, we would assign variables to the number of hours Delilah babysits and the number of hours Laura babysits respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that Laura babysits 5 hours more per week than Delilah as follows;

l = d + 5

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