what is the unit rate if there are 80 miles driven using 4 gallons of gas

A. 21 miles per gallon B. 20 miles per gallon

C. 22 miles per gallon D. 19 miles per gallon

Answer:

ⅠⅠⅩ

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.

Answer:

48 grapes,

Step-by-step explanation:

Firstly, let's sum up the ratio,

6+6+12=24

The fraction of grapes is therefore, 6÷24 or ¼

A ¼ of 192 is 48.

Signifying, there are 48 grapes.

A cheerilee teen willing to help,

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If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?

48 grapes

look at the attached picture :)

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

Answer:

K=2/5

Step-by-step explanation:

So, I’m assuming that by constant of proportionality you mean slope of the line. To do that, you just figure out how y changes with x. The easiest way to do this is rise over run (y over x). If you look at the graph, there is a point that pass through (0,0) and another that passes through (5,2) so if you count how many spaces we moved up then how many spaces we moved right, you will get the slope of the line. Spaces moved up are 2-0=2 and spaced moved right are 5-0=5. Use rise over run which is going to be 2/5. So, K=2/5.

Answer:

15

Step-by-step explanation:

it's where you start. where your going to start you slope on the graph which means that the x would be 0

Answer:

A = 18 in²

Step-by-step explanation:

The area of a triangle can be calculated using the formula A = (bh)/2

where b = base length and h = height

Fortunately for us, the variables are already defined and given to us in the problem

All we have to do is plug in the values of h and b into the formula for area of a triangle

A = (bh)/2

b = 3 and h = 12

A = ((12)(3))/2

multiply 12 and 3

A = 36/2

divide 36 by 2

A = 18 in²

Answer:

length of the opposite leg divided by the hypotenuse

Step-by-step explanation:

Answer:

Could you... put it normally?

Step-by-step explanation:

It's kinda confusing to read, so much understand

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

Answer:

$0.29

Step-by-step explanation:

Hello!

All you gotta do is 6.69/24 and it should give you 0.29.

Answer:

$288

Step-by-step explanation:

.04 * 7,200= 288

Commission multiplied by Stocks sold= Answer

Hope this helps :)

Answer:

The answer is B. 7

Step-by-step explanation:

3 + x = 10

3 + 7 = 10

Answer:

29

Step-by-step explanation:

g(0)=3-2(0)

     = 3

f(3) = 8(3)+5

f(3) = 29

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

Answer:

-10

Step-by-step explanation:

The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.

[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]

-10 (x) should be the input number.

Answer:

x = -10

Step-by-step explanation:

Equation:

-52 = 5x - 2         [tex]\longmapsto[/tex]       Add 2 to both sides

-50 = 5x              [tex]\longmapsto[/tex]       Divide both sides by 10

x = -10

-Chetan K

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

[tex]12^1/_4[/tex] [tex]inches[/tex]

Step-by-step explanation:

We can make this an equation

[tex]-3 ^1/_{2}+15^3/_4[/tex]

We can make them the same denominator by looking for the GCF which we get as 2

Now we have

[tex]-3 ^2/_{4}+15^3/_4[/tex]

Do the equation and we get

[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).

Step-by-step explanation:

Coordinates of A are (-4.5, 2).

Coordinates of B are (0, -3.5)

Answer:

Both answers are true

Step-by-step explanation:

Coordinates of A are [-4.5,2]

Coordinates of B are [0,-3.5] { because it lies on the negative side of Y axis}

Answer:

E BC itsay 3a 5b = 3.5 so it E

Answer:

Step-by-step explanation:

1/8 x 5/6 as a fraction in simplest form

1/8 * 5/6 =

5/48

The fraction in simplest form is 5/48.

Given that are two fractions 1/8 and 5/6, we need to find the product of the fractions,

To multiply fractions, we multiply the numerators together and the denominators together.

In this case, we have 1/8 multiplied by 5/6.

1/8 x 5/6 = (1 x 5) / (8 x 6)

Multiplying the numerators (1 x 5) gives us 5, and multiplying the denominators (8 x 6) gives us 48.

Therefore, 1/8 x 5/6 simplifies to 5/48.

Learn more about Fractions click;

https://brainly.com/question/10354322

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The second differential of the function is 3/7

Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]

Differentiate both sides with respect to x implicitly

[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]

[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]

Get the first derivative at the point (3, 0)

[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]

Substitute into the second derivative to have:

[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]

Hence the second differential of the function is 3/7

learn more on differential equation here; https://brainly.com/question/18760518

Complete question:

If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)

Answer:

x = 60 degrees

Step-by-step explanation:

AOD is 360-240 which is 120 degrees

AOB is 120-90, so 30.

Since AOC is 90 degrees, BOC is 90-AOB, so 90-30, 60 degrees

x= 60 degrees

Answer:

S.I = P x R x T / 100

Step-by-step explanation:

therefore 8000 x 7 x 5 / 100 = 280000/ 100

= 2800

Answer: The answer is $254.15

Answer:

I think it is 8

Step-by-step explanation:

I found 2020's factors and took the positive non-prime factors of it, and there were 8 of them

Answer:

top one

Step-by-step explanation:

You are not including -2 (else it would be a greater or equal sign) so the dot has to be empty. You can rule out the middle options.

At this point you either remember that "greater than" means "to the right of" or you pick a convenient number, ie, 0. see that your inequality is true (zero is greater than -2) and you pick the graph where the solid line includes 0.

Answer:

x = 11

x = -4

Step-by-step explanation:

Step-by-step explanation:

T  |  0   |   1    |  2   |  3   |

C  | 24  |  21  |  18  |  15  |

Rule:

To find a rule, we need to find 2 things- what T is multiplied by and what is added.

To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.

To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.

We write a rule as:  y = mx + c, or in this case, c = mt + a

So the rule is c = -3x + 24

Answer: for question number 3 is 3.50+.15f

Step-by-step explanation: