Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can travel on x gallons of gas. b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?

Please show your work sow I know how to do it don't just tell me the answer explain Thank you

Answer:

10

Step-by-step explanation:

$150 minus the base pay of $30 is $120. Divide this by the $12 he makes each delivery. 120/12=10

Answer: 4/64

Step-by-step explanation:

Since 1/4 * 4 = 1

We just have to multiply 1/64 times 4 to get the answer

1/64 * 4 = 4/64

Answer:

Car will cover 16 miles in 1 gallon of the gas.

Step-by-step explanation:

We can solve this question by unitary method.

∵ A car used [tex]\frac{1}{64}[/tex] gallons of gas to drive the distance = [tex]\frac{1}{4}[/tex] miles

∴ Car used 1 gallons to drive the distance = [tex]\frac{\frac{1}{4} }{\frac{1}{64} }[/tex]

= [tex]\frac{64}{1}\times \frac{1}{4}[/tex]

= [tex]\frac{64}{4}[/tex]

= 16 miles

Therefore, car will cover 16 miles in 1 gallon of the gas.

Answer: The distance is 3.

Step-by-step explanation: Start on a number line from 0. Go back 4 and mark it at -4. Then go back to 0 and go back 1 and mark it at -1. If you count the space between -4 and -1 you will get 3 spaces.

Answer:

512 in³

Step-by-step explanation:

Given the volume (V) of a cube is calculated using

V = s³ ← s is the side length

When s = 8, then

V = 8³ = 8 × 8 × 8 = 64 × 8 = 512 in³

Answer: 512 in.³

Step-by-step explanation: To find the volume of a cube, first start with writing down the formula for the volume of a cube which is as followed.

Volume = Length × Width × Height

In this problem, our prism is a cube. Since the length, width, and height of a cube are all equal, we can find the volume of a cube by simply multiply side times side times side or s³.

Volume = Length x Width x Height

Volume = (8) (8) (8)

Volume = 512 in³.

Therefore, the volume of the cube is 512 in.³.

Answer:

Each data pair shown is of the form below:

 (years since purchase, value of car)

Use the regression equation to estimate the value of the car 8 years after purchase. Round to the nearest dollar.  $  6019

As more years go by, the prediction (extrapolation) becomes less reliable.

Explanation:

the answer are in bold :)

Based on the correlation coefficient, there is a(n) strong linear correlation between the data.

The correlation coefficient, often denoted as "r," measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, with:

The regression equation to estimate the value of the car 8 years after purchase, as more years go by, the accuracy of this prediction becomes less reliable.

Thus, there is strong linear correlation.

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Answer:

one solution

Step-by-step explanation:

Given two equation

y = -x+4 ... (1)

x+2y = -8 ...(2)

Substituting equation (1) into (2), we will have;

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

Opening the bracket up

x-2x+8 = -8

-x = -8-8

-x = -16

x = 16

Substituting x = 16 back into equation 1:

y = -16+4

y = -12

This shows that the linear equation has one solution (16,-12)

Answer:

B and D

Step-by-step explanation:

Since they're the fractions

Option B and Option D represent rational equation.

A rational equation is defined as any equation that can write in p/q form where q not equal  to zero.

From given option it is observed that,

Option B,   [tex]\frac{1}{2}x-\frac{1}{3} =4-x [/tex]

option D,  [tex]\frac{6}{x}-1=\frac{4}{x-2} [/tex]

Both option have fraction term.

Hence, Option B and Represent rational equation.

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[tex]\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{6}}}\implies \cfrac{4}{-12}\implies -\cfrac{1}{3}[/tex]

Answer:

[tex]\large\boxed{slope=-\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(x₁, y₁), (x₂, y₂) - points on a line

We have the points

(6, 5) → x₁ = 6, y₁ = 5

(-6, 9) → x₂ = -6, y₂ = 9

Substitute:

[tex]m=\dfrac{9-5}{-6-6}=\dfrac{4}{-12}=-\dfrac{4:4}{12:4}=-\dfrac{1}{3}[/tex]

Answer: 320

Step-by-step explanation:

there are 16 tablespoons in one cup so 20*16=320

To calculate the calories in one cup of chocolate chips, you multiply the number of calories per tablespoon (20) by the number of tablespoons in a cup (16), resulting in 320 calories per cup.

To determine how many calories are in 1 cup of chocolate chips, knowing that there are 20 calories in 1 tablespoon, we first need to understand the conversion between tablespoons and cups. There are 16 tablespoons in a cup.

Therefore, to find out how many calories are in a full cup, you would simply multiply the number of calories in one tablespoon by the number of tablespoons in a cup:

20 calories / tablespoon × 16 tablespoons / cup = 320 calories / cup.

Thus, there are 320 calories in 1 cup of chocolate chips.

Answer:

Second picture: y=4 and x=7

First picture: x=70 degrees y=20 degrees

Step-by-step explanation:

Second picture:

One of the given triangles is an equilateral and the other is an isosceles.

Equilateral triangle has all congruent sides and it's angles are all congruent.

Isosceles triangle has two congruent angles and the opposite sides of those congruent angles are also congruent.

This implies all the side algebraic expression-measurements given are all equal.

5y-4=y+12

Add 4 on both sides:

5y=y+16

Subtract y on both sides:

4y=16

Divide both sides by 4:

y=4

So what is the side measurement for each of the sides given in terms of algebraic expressions?

y+12

4+12

16

Each side given in terms of an algebraic explanation is 16 units.

So we have also the following equation to solve:

3x-5=16

Add 5 on both sides:

3x=21

Divide both sides by 3:

x=7

So x=7 and y=4.

There is only one side in the picture that is possibly not 16. It is the one of the sides in the isosceles, not opposite the base angles.

------------------------------------------

First picture:

We are given x+y=90.

Since that one triangle is an isosceles we know that x+x+(180-40)=180

So let's solve the second equation for x then go back and solve for y in the first equation.

2x+140=180

Subtract 140 on both sides:

2x=40

Divide both sides by 2:

x=20

First equation:

x+y=90

So y=90-x=90-20=70.

Good evening ,

______

Answer:

{ ... , -24, -12 ,0 , 12 , 24 , 36 , ... }

___________________

Step-by-step explanation:

Any number that can be written in the form: 12×k is a multiple of 12 , k∈Z

12×0=0 then 0 is a multiple of 12

12×1=12 then 0 is a multiple of 12

12×2=24 then 0 is a multiple of 12

12×3=36 then 0 is a multiple of 12

12×4=48 then 0 is a multiple of 12

.

.

.

etc.

___________

:)

Answer:

950000

Step-by-step explanation:

the rule with rounding is if the number to the direct left is under 5, it stays the same but if it is 5 or above, you round up and everything behind becomes zeroes.

There is no solution of expression.

We have to given that,

An expression to solve,

⇒ 10x - 8/3 - 4x = 6x

Now, We can simplify as,

⇒ 10x - 8/3 - 4x = 6x

Combine like terms,

⇒ 6x - 8/3 = 6x

⇒ 6x - 6x = 8/3

⇒ 0 ≠ 8/3

Which is not possible.

Thus, There is no solution of expression.

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Answer:

the 9s are in the millions and hundred thousands

Step-by-step explanation:

Answer:

In multi-step problems, one or more problems have to be solved in order to get the information needed to solve the question being asked.

Answer:

the answer is 8 because when you set the equation equal to 12 and solve it you get 12

Step-by-step explanation:

Final answer:

To find the input for f(x) = 2x + 4 when the output is 12, solve the equation 12 = 2x + 4 for x, resulting in the input-value x being 4, with the ordered pair being (4, 12).

Explanation:

The question concerns finding the input for a given function when the output is known. The function provided is f(x) = 2x + 4, and we want to find the input value, or x, that produces an output, or f(x), of 12. To do this, we set up an equation where 12 = 2x + 4 and solve for x.

We first subtract 4 from both sides of the equation to get 8 = 2x. Then, we divide both sides by 2 to isolate x, resulting in x = 4.

The ordered pair representing the input-output relationship for the function when the output is 12 is (4, 12).

[tex]\bf -27x^6b^9~~ \begin{cases} -27=&-3^3\\ x^6=&x^{2\cdot 3}\\ &(x^2)^3\\ b^9=&b^{3\cdot 3}\\ &(b^3)^3 \end{cases}\implies (-3)^3(x^2)^3(b^3)^3\implies (-3x^2b^3)^3[/tex]

Answer:

This is not an linear equation thus cant be solved

Answer Step-by-step explanation:

[tex]The~question~here~is~not~a~linear~equation.~So~this~can~not~be~solved~![/tex]

Answer:

2073m

Step-by-step explanation:

House Area:

23*9 = 207m

Lot Area:

60*38 = 2208m

We can make an equation,

Lot Area - House Area = LeftOver Area

2208-207=2073m

Answer:

[tex]\large\boxed{2.15\cdot10^{-3}}[/tex]

Step-by-step explanation:

[ttex]\text{The scientific notation:}\ a\cdot10^k\\\\\text{where}\ 1\leq a<10,\ k\in\mathbb{Z}[/tex]

[tex]\bold{METHOD\ 1:}\\\\10^{-3}=\dfrac{1}{10^3}=\dfrac{1}{1000}=0.001\qquad\text{used}\ a^{-n}=\dfrac{1}{a^n}\\\\2.8\cdot10^{-3}=2.8\cdot0.001=0.0028\\\\2.8\cdot10^{-3}-0.00065=0.0028-0.00065=0.00215\\\\0\underbrace{.002}_{3\to}15=2.15\cdot10^{-3}[/tex]

[tex]\bold{METHOD\ 2:}\\\\2.8\cdot10^{-3}-0.00065=2.8\cdot10^{-3}-0.65\cdot10^{-3}\\\\=(2.8-0.65)\cdot10^{-3}=2.15\cdot10^{-3}[/tex]

Answer:

80/56 = 1.42

Step-by-step explanation:

Total songs = 136

Number deleted = 56

Number kept = 136-56 = 80

The ratio of songs kept to songs deleted = 80/56 = 1.42

The proportions or ratio are used to compare quantities with each other, and are usually written with a colon (:) intermediate.

Answer:

30

Step-by-step explanation:

[tex]-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z[/tex]

Answer:

x = 121

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7, thus

sum = 180° × 5 = 900°

Sum the given angles and equate to 900

x + 125 + 119 + 117 + 145 + 133 + 140 = 900, that is

x + 779 = 900 ( subtract 779 from both sides )

x = 121

The coordinates of the point is (-5,3)

Let the initial coordinate be:

Initial = (0,0)

5 units to the left of the x-axis represents a horizontal translation left by 5 units.

So, we have:

New = (0 - 5,0)

3 units above the y-axis represents a vertical translation up by 3 units.

So, we have:

New = (0 - 5, 0 + 3)

Evaluate

New = (-5, 3)

Hence, the coordinates is (-5,3)

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Answer:

10 1/6

Step-by-step explanation:

61/6= 10.1666667

Answer: 10 1/6

Divide using long division, the whole number proportion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Answer:

30

Step-by-step explanation:

By following PEMDAS

P - parenthesis | E - exponent | M - multiply | D - divide | A - add | S - subtract

You first work out what is in the parenthesis first. The order of operation would first have you multiply 4×4 = 16, next you will add 4 and subtract 5... 4-16+5 = 15. Finally multiply to what's outside the parenthesis (15)×2. And that's how you arrive to 30 as the final answer.

Answer:

The cost of a shirt is $16 and the cost of a sweater is $33

Step-by-step explanation:

Let

x -----> the cost of a shirt

y -----> the cost of a sweater

we know that

[tex]3x+2y=114[/tex] -----> equation A

[tex]2x+4y=164[/tex]----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (16,33)

see the attached figure

therefore

The cost of a shirt is $16 and the cost of a sweater is $33

Answer:

The cost of each shirt is 16$ and the cost of each sweater is 33$

Solution:

Let us consider “x” as the cost of each shirt and “y” as the cost of each sweater.

From question, Andrea has bought 3 shirts and 2 sweaters for 114$. Hence we form equation as,

3x + 2y = 114 ------  eqn 1

Similarly, Andrea has bought 2 shirts and 4 sweaters for $164. Hence we form equation as,

2x + 4y = 164 ----- eqn 2

By solving equation 1 and equation 2, we get the value of “x” and “y”.

On multiplying equation 1 by 2,we get  

6x + 4y = 228 -------- eqn 3

Now solving eqn 2 and eqn 3

6x + 4y = 228                      

-2x - 4y = -164      

4x + 0y = 64

4x = 64

[tex]x =  \frac{64}{4}[/tex]

x = 16

Substituting the value of x in eqn 1, we get

3(16) + 2y = 114

48 + 2y = 114

2y = 114 - 48

2y = 66

[tex]y = \frac{66}{2}[/tex]

y = 33

Thus the values of x and y are 16 and 33. So the cost of each shirt is 16$ and the cost of each sweater is 33$

Answer:

$283.05

Step-by-step explanation:

first divide $244.80 by 32, to find out how much you are making hourly. in this case you are making $7.65 an hour

next, multiply $7.65 by 5, to add the 5 hours, in this case you get $38.25.

next, add $38.25 to $244.80 and you get your answer!

Final answer:

To find out how much you would receive for 37 hours of work, set up a proportion using the given information and solve for x. The result is approximately $283.98.

Explanation:

To find out how much you would receive for 37 hours of work, we can set up a proportion using the information given. Since 32 hours of work pays $244.80, we can set up the proportion: 32/244.80 = 37/x. Cross-multiplying, we get: 32x = 244.80 * 37. Simplifying, we find that x = (244.80 * 37) / 32. Calculating the result, we find that you would receive approximately $283.98 for 37 hours of work.

Answer:

3x = 6 + x

Step-by-step explanation:

We can express the product of a number and 3 as:

3x

Where x is the number that we don't know.

Now it says that that product is 6 more than the number (x) so we can write it down:

3x (The product of a number and 3) = (is) 6 + x (6 more than the number)

3x = 6 + x

The sentence 'the product of a number and 3 is 6 more than the number' can be translated into the algebraic equation 3x = x + 6.

The given statement can be translated into a mathematical equation in the following way: If we let x be the number in question, the first part of the sentence tells us that the product of the number and 3 can be modeled as 3x. The second part of the sentence tells us that this is 6 more than the number itself. This can be translated into the equation as x + 6. Thus, putting the two parts together, we get the algebraic equation 3x = x + 6.

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