QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

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Answer:

770

Step-by-step explanation:

just do 22 x 35

Answer:

34/5, 6 4/5

Step-by-step explanation:

1 1/5 = 6/5

8-6/5 = 40/5 - 6/5 = 34/5

Answer:

15x + 9 (We combing like terms. Ex. 16x and -x)

Answer:

15x+9

Step-by-step explanation:

16x+7+2-x

16x-x+7+2

15x+9

Answer:

56

Step-by-step explanation:

Answer:

my 16 inch

Step-by-step explanation:

Answer:

q = 4p - 32

Step-by-step explanation:

P = 1/4q + 8

Making q the subject

P - 8 = 1/4q

Divide both sides by 1/4

q = (p - 8) ÷ 1/4

= (P - 8) × 4/1

= 4p - 32

q = 4p - 32

Answer:

Step-by-step explanation:

Below numbers are divisible by the number of students:

Lets find GCF of 24 and 36:

The largest possible number of students is 12

Answer:

6:5

18:15

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

[tex] sin(C) = \frac{7}{10} [/tex]

[tex] C = sin^{-1}(\frac{7}{10}) [/tex]

[tex] C = 44.427004 [/tex]

<BCA = 44.4° (to 3 SF)

Answer:

2.5 percent chance

Step-by-step explanation:

50 total students, only 5 students have no preference.

5% of 50 is 2.5

Answer:

20

Step-by-step explanation:

14:x::22.401:12.80

Answer:

15,16 and 17.

Step-by-step explanation:

Let the three consecutive integers are x, x+1,x+2

ATQ,

x+x+1+x+2=48

3x+3=48

Subtract 3 from both sides,

3x+3-3=48-3

3x=45

x = 15

First integer = 15

Second integer = 15+1 = 16

Third interger = 15+2 = 17

Hence, three integers are 15,16 and 17.

Answer:

[tex]\displaystyle g=\frac{4\pi^2l}{T^2}[/tex]

Step-by-step explanation:

Equation Solving

Given the equation

[tex]\displaystyle l=\frac{gT^2}{4\pi^2}[/tex]

It's required to solve it for g. Let's swap sides of the equation:

[tex]\displaystyle \frac{gT^2}{4\pi^2}=l[/tex]

Multiply by [tex]4\pi^2[/tex] to remove the denominator:

[tex]\displaystyle gT^2=4\pi^2l[/tex]

Divide by [tex]T^2[/tex]

[tex]\boxed{\displaystyle g=\frac{4\pi^2l}{T^2}}[/tex]

Answer:24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Step-by-step explanation:

Answer:

{January, February, March, April, May, June, July, August, September, October, November}

Step-by-step explanation:

The set is formed by months of year with indexes larger than 0 and lesser than 12.

The year starts at month 1, which is January, and finishes at month 12, which is December.

Since we want lesser than 12, December is not part of the set. So the answer is given by:

{January, February, March, April, May, June, July, August, September, October, November}

Answer:

x=-5, y=-1

Step-by-step explanation:

Substitute x=-4+y into -2x-5y=15. So we have

-2(-4+y)-5y=15

8-2y-5y=15

-7y=7

y=-1

And x is -4+y so x= -4+(-1)= -5.

Answer:

4m+8

Step-by-step explanation:

7m+2-3m+6

combined the 7m and the 3m to get 4m

And combined the 2 and 6 to get 8

then add them to together and get 4m+8

Answer:

reduce, since 4/5 is smaller than 1

Step-by-step explanation:

Answer:

x > -5

Step-by-step explanation:

[tex] - 6x > 30 \\[tex] 6x < - 30 \\ \frac{ 6x}{ 6} < \frac{- 30}{ 6} \\ x < - 5[/tex]

Answer:

0.5

Step-by-step explanation:

Answer:108.54

Step-by-step explanation:

Answer:

108.54

Step-by-step explanation: turn 81% into a decimal, .81, then multiply by 134.

Answer:

The probability is 3/5

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

There are 2 + 4 + 4 + 4 + 2 + 4 = 20 itens.

Of those, 2 + 4 + 2 + 4 = 12 itens have white or red.

So

12/20 = 3/5

Answer:

it's not possible to build a triangle with side lengths of 3 3 and 9Step-by-step explanation:

I hope this helps!

Answer:

no its not possible

Step-by-step explanation:

Answer:

you have the answer right