7x< 21 Im on khan academy so i need help

Answer:

31%

Step-by-step explanation:

21 s - 15 exercise

28 c - 21 exericse

15/49 = 31%

Answer:

Step-by-step explanation:

21 + 28 = 49

49 + 15 = 64

64 + 21 = 85

Have a Nice Day :  ) if Incorrect sorry.

The amount of flour needed for 84 cups of sugar will be 14 cups of flour.

A property that can be measured like, mass, length, time, volume, and pressure. A unit is a standard quantity against which a quantity is measured for example, gram, metre, second, litre, pascal, which are units of the preceding quantities.

To measure the quantity of cups of flour needed to mix 84 cups of sugar;

24 cups of sugar = 4 cups of flour

84 cups of sugar = ? cups of flour = 84/24 x 4

for 84 cups of sugar = 3.5 x 4 = 14 cups of flour.

It will take 14 cups of flour to mix 84 cups of sugar.

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Answer

38,400

Step by Step Explanation

Firstly we have to get the volume of the cube box in cm³ which is 480³ = 110,592,000

Secondly we have to get the volume of the cuboid in cm³ too which is 24×12×10 = 2,880

And lastly, 110,592,000/2,880 = 38,400

The number of closed cuboidal boxes is 38400.

Side of the Cubical Box, a = 4.8 m

Using the formula,

Volume of a cube: V = a³

V1 = a³

V1 = (4.8)³

V1 = 110.59 m³

Dimension of Cuboidal Boxes,

Length, l = 24 cm

Breadth, b = 12 cm

Height, h = 10 cm

Using the formula,

Volume of cuboid : V = l × b × h

V2 = l × b × h

V2 = 24 × 12 × 10

V2 = 2880 cm³ or 0.0028m³

Number of closed cuboidal boxes,

[tex]=\frac{Volume of cube}{Volume of cuboid}[/tex]

[tex]= \frac{110.59}{0.0028}[/tex]

[tex]= 38400[/tex]

Hence, there are 38400 closed cuboidal boxes.

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Answer:

from -5 to infinity

Step-by-step explanation:

Hope this helps.

An exponential function is a function in which the variable (usually represented by "x") is the exponent, rather than the base.

The most common form of an exponential function is f(x) = b^x, where b is a positive constant known as the base of the function.

Exponential functions can take many different forms, but they all have one thing in common: the variable is in the exponent. In most cases, the base of the function is a positive constant, and the exponent is the input variable. Exponential functions can also be used to model a wide variety of real-world phenomena, such as population growth, compound interest, and decay of radioactive materials.

The graph of an exponential function is always a smooth curve that increases or decreases at an increasing rate. The slope of the curve increases as x increases, which means that the rate of change of the function also increases as x increases.

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p ∧qp ∧~ q~p ∧q~ p ∧~q  is logically equivalent to~ (~p⇒q) for the given question

If p → q

and q →r , then  you can use the law of transitivity to conclude

q→r.

That is a basic law of sillogisms.

An example will help you to understand the transivity law:

Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.

3 > 3/4

3 /4 > 15 / 20

Then, 3 > 15 /20.

This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.

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Answer:

(-(11 w^2 - 13))

Step-by-step explanation:

Simplify the following:

2 w^2 - 13 w^2 + 13

Grouping like terms, 2 w^2 - 13 w^2 + 13 = (-13 w^2 + 2 w^2) + 13:

(-13 w^2 + 2 w^2) + 13

2 w^2 - 13 w^2 = -11 w^2:

-11 w^2 + 13

Factor -1 out of -11 w^2 + 13:

Answer: (-(11 w^2 - 13))

Answer: [tex]-2.2f-18[/tex]

Step-by-step explanation:

[tex]-2.6f+0.4f-14-4=f(-2.6+0.4)+(-14-4)=-2.2f-18[/tex]

On solving the provided question, we can say that probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

the favorable out come is 4 times

total outcomes = 7 times

Probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %

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Answer:

x = -4

y = -1

Step-by-step explanation:

-5x+12y=8

2x-8y=0

We multiply the first equation by 2 and the second equation by 5

-10x + 24y = 16

10x - 40y = 0

-16y = 16

y = -1

Now put -1 back in for y and solve for x

-5x + 12(-1) = 8

-5x - 12 = 8

-5x = 20

x = -4

Let's check

-5(-4) + 12(-1) = 8

20 - 12 = 8

8 = 8

So, x = -4 & y = -1 is the correct answer.

The exponential form of 64 is 2^6.

No, number 48 is not the factor of 8 , 48 is a multiple of 8.

As given in the question,

Given number is equal to ,

48.

Factors are those numbers which divide the given number completely without leaving any remainder.

The factors of the number 48 are equal to:

1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Multiple of 8 are equal to :

8, 16, 24, 32, 40, 48, .....

48 is not considered as a factor of 8 it the multiple of the number 8.

8 is the factor of the given number 48.

Therefore, number 48 is not the factor of 8 , it is considered as the multiple of 8.

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Answer:

y = −x^2 + 4x

Step-by-step explanation:

x^2 = x (2x - 4) + y

Let's simplify it and we get

x^2 = 2x^2 - 4x + y

Now, we want to get the y by itself

x^2 = 2x^2 - 4x + y

-x^2 = -4x + y

-x^2 + 4x = y

So, our answer is  y = −x^2 + 4x

If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.

The numerator, which is the portion of a fraction that is at the top, and the denominator, which is the portion that is at the bottom, are its two constituent parts.

It is given that:

A food delivery driver is 4 3/4 miles west of a city library when he receives the call to pick up food from a restaurant.

The restaurant is 1.5 miles east of the library.

The mixed fraction can be written as:

4 3/4 = 19/4 = 4.75

Total = 4.75 + 1.50 = 6.25 miles

Thus, If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.

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The figure's scale factor and type of dilatation are

Scale factors are applied to alter the size of the image. The circumstance of increase is frequently referred to as enlargement or magnification.

Given that the preimage is smaller than the image, the situation is enlargement. This implies that the scale factor will also be higher than 1.

Establishing a baseline, say side 8 and side 20 in the preimage and the image respectively. Then, assuming the factor is k, get the factor.

8k = 20

k = 20/8

k = 2.5

The scale factor is 2.5

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The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

Sean deposits $275 each month into his savings. He started with $1000 in the account.

The slope of the line will be In 10 months the savings will be at ,The graph of this line will y = savings and x = months

The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

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Answer:

cap: 17, wallet: 11

Step-by-step explanation:

45 - 28 = 17

45 - (17 x 2)  =

45 - 34 = 11

could also do:

28 - 17 = 11

Hope this helps have a good day

The coordinates of the vertices of △ABC are A(-4,1), B(-2,4), C(-2,0), △CDE are C(-1,-1), D(1,1), E(4,-1), and △IHG are I(2,3),H(4,0), G(4,4).

The transformation is △ABC reflected with the line y =2 and shifted 6 units right sides.

What are the vertices of a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

There are three triangles. The vertices of △ABC are A(-4,1), B(-2,4), C(-2,0).

The vertices of △CDE are C(-1,-1), D(1,1), E(4,-1). The vertices of △IHG are I(2,3),H(4,0), G(4,4).

The △ABC is congruent with △IHG.

The difference between the x-coordinate of A and I is (2 - (-4)) = 6

The difference between the x-coordinate of B and H is (4 - (-2)) = 6

The difference between the x-coordinate of C and G is (4 - (-2)) = 6

The sum of the y-coordinate of A and I is (3+1) = 4

The sum of the y-coordinate of B and H is (4 + 0) = 4

The sum of the y-coordinate of C and G is (4 + 0) = 4

The midpoint of y-coordinate of △ABC and △IHG is 4/2 = 2

The △ABC is reflected by y = 2 and shifted 6 units right side.

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Answer:

1. 6

2. 5

3. 4

Step-by-step explanation:

For each expression, Substitute the variable for what is given in the statement.

1. 8×(3/4)=6

2. 2.5×(2)=5

3. 10/2.5=4

The servings can be made from two gallons is 192 serving

From the question, we know that 4 cups of milk equals to 24 servings.

4 cups = 24 serving

To solve total serving which can be made from two gallons of milk, we have to convert unit from gallon into cup, so it can be multiplied with the amount of serving

1 gallon equals to 4 quarts .....(1)

1 quart equals to 2 pints ..........(2)

From info no. 1 and 2, we can know that

1 gallon = 4 x 2 = 8 pints ..........(3)

Next, 1 pint equals to 2 cups ...........(4)

Since 1 gallon equals to 8 pints from information no. 3, we combine information no. 3 and information no. 4 to convert gallon to cup.

1 gallon = 8 x 2

             = 16 cups ....................(5)

For 2 gallon, we just simply multiply info no 5

2 gallon = 16 x 2 cups

              = 32 cups .................(6)

In the case of 4 cups can make 24 serving, Total number of serving can be calculated with info no. 6

Number of serving = 32 / 4 x 24 = 8 x 24 = 192 serving

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The ordered pairs (0,0), (- 2, - 5), (5, - 3) are solutions of the inequality 5y - 3x ≤ 7.

A linear inequality is one that would result in a linear equation if we were to substitute the equals relation for the inequality. When solving the inequality, the direction of an inequality is reversed when we multiply or divide both sides by a negative value.The collection of all solutions makes up the solution set for an inequality.

Here,

Now, in order to determine which ordered pairs are a solution, we need to substitute the coordinate points into the left side of the inequality and check against right side for the validity.

A. (0,0)

5(0) - 3(0) = 0 ≤ 7  

So, (0,0) is a solution.

B. (3, 5)

5(5) - 3(3)= 25 - 9 = 16 ≥ 7

So, (3, 5) is not a solution.

C. (1,2.5)

5(2.5) - 3(1)= 12.5 - 3 = 9.5 ≥ 7

So, (1,2.5) is not a solution.

D. (- 2, - 5)

5(-5) - 3(-2) = - 25 + 6 = - 19 ≤ 7  

So, (- 2, - 5) is a solution.

E. (5, - 3)

5(-3) - 3(5) = - 15 - 15 = -30 ≤ 7  

So, (5, - 3) is a solution.

Hence, the ordered pairs (0,0), (- 2, - 5), (5, - 3) are solutions of the inequality 5y - 3x ≤ 7.

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The quadratic equation whose roots -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0

A quadratic equation is an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Examples of quadratic equations include all of these: y = x² + 3x + 1 , y = x²+x-1

If the root of the quadratic equation are -3 and 6

then, x = -3 and x= 6

therefore x+3 = 0 and (x-6) = 0

(x+3)(x-6) = 0

with leading coefficient 4,

then 4( x+3) ( x-6) = 0

4 ( x²-6x+3x-18) = 0

4( x²-3x-18) = 0

open the parentheses,

4x²-12x-72 = 0

Therefore, the quadratic equation with root -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0

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Answer:

x = 71/8

Step-by-step explanation:

Solve for x:

2 (x - (3 + 1/2)) = 10 + 3/4

Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:

2 (x - (7/2)) = 10 + 3/4

2×3 = 6:

2 (x - (1/2 6 + 1/2)) = 10 + 3/4

6/2 + 1/2 = (6 + 1)/2:

2 (x - (7/2)) = 10 + 3/4

6 + 1 = 7:

2 (x - 1/2 7) = 10 + 3/4

Put each term in x - 7/2 over the common denominator 2: x - 7/2 = (2 x)/2 - 7/2:

2 ((2 x)/2 - 7/2) = 10 + 3/4

(2 x)/2 - 7/2 = (2 x - 7)/2:

2 (1/2 (2 x - 7)) = 10 + 3/4

(2 (2 x - 7))/2 = 2/2×(2 x - 7) = 2 x - 7:

(2 x - 7) = 10 + 3/4

Put 10 + 3/4 over the common denominator 4. 10 + 3/4 = (4×10)/4 + 3/4:

2 x - 7 = ((4×10)/4 + 3/4)

4×10 = 40:

2 x - 7 = 40/4 + 3/4

40/4 + 3/4 = (40 + 3)/4:

2 x - 7 = ((40 + 3)/4)

40 + 3 = 43:

2 x - 7 = 43/4

Add 7 to both sides:

2 x + (7 - 7) = 43/4 + 7

7 - 7 = 0:

2 x = 43/4 + 7

Put 43/4 + 7 over the common denominator 4. 43/4 + 7 = 43/4 + (4×7)/4:

2 x = (43/4 + (4×7)/4)

4×7 = 28:

2 x = 43/4 + 28/4

43/4 + 28/4 = (43 + 28)/4:

2 x = ((43 + 28)/4)

43 + 28 = 71:

2 x = 71/4

Divide both sides by 2:

x = (71/2)/4

4×2 = 8:

Answer: x = 71/8

The answer is 24

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

Given here:  A || B.

Now if transversal D intersects A and B we have

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.

Thus we have 4x+5+3x+7=180

                               7x=168

                                 x=24

Hence, The value of x is 24

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The angle made by the slide of length 14.5 ft with the ground is 36°

The length of the slide = 14.5ft

The length of the ladder = 8.5 ft

The angle made by the ladder and ground = 90°

The angle formed by the slide can be found using the Pythagoras theorm,

                  sinθ = O / H

where θ is the angle made by the slide

           O is the side opposite to the angle of the slide

           H is the side that is hypotenuse with the slide

Let us rearrange the above equation in order to get the angle of the slide,

                    θ = sin⁻¹ (O/H)

Let us substitute the known values in the above equation, we get

                    θ = sin⁻¹ (8.5 / 14.5)

                       = sin⁻¹ (0.586)

                       ≈ 36°

Thus, the angle of the slide is 36°

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So on solving the provided question we cans say that rom the graphs Area 0f triangle = 1/2 AB = 1/2 . 250 . 200 = 25000sq units

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

Here,

Given :

from the graph we can say that -

B = 250

A = 200

Area 0f triangle = 1/2 AB = 1/2 . 250 . 200

Area = 25000sq units

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The origin in the complex plane is represented by the number 0. Therefore, the separation between a complex number and the complex plane's origin (zero) equals its absolute value.

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You need to look at the graph and identify where the x-axis is located.

In this graph Domain is {-2,2,4,6}

To determine the domain of a graph, you need to look at the graph and identify where the x-axis is located.

The domain of a graph is the set of all possible x-values for which the graph is defined.

In other words, it is the set of all x-values that the graph will plot.

For example, if the x-axis of the graph is between 0 and 10, then the domain of the graph is the set of all numbers between 0 and 10, including 0 and 10.

The domain of a sine wave graph is all real numbers. This is because the sine wave graph is periodic and repeats itself over and over again.

In this graph domain is {-2,2,4,6}

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A line of longitude is called a meridian because it connects the North and South poles and forms a circle around the Earth, like the sun's meridian path during the day.

A line of longitude is an imaginary line that circles the Earth and runs in a north-south direction. It is measured in degrees and divides the Earth into two equal halves, the Eastern Hemisphere and the Western Hemisphere. This line is called a meridian because it is derived from the Latin word meridies which means mid-day or noon. The sun's path across the sky during the day follows a meridian from the North Pole to the South Pole, and this is what inspired the term "meridian" to describe the line of longitude.

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