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jeyben [28]
3 years ago
14

The cost of filling up Jason's car is directly proportional to the number of gallons purchased. It if costs Jason $32.40 to purc

hase 15 gallons of gas, find the cost of purchasing 20 gallons of gas.
Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:

$ 24.30

Step-by-step explanation:

1. $32.40 multiplied by 15 which would equal 486

2. Then you would do 486 divided by 20 which would equal $24.3

3. Then you just add the zero the the end

You might be interested in
What are the ordered pairs of the solutions for this system of equations?
Scorpion4ik [409]

Answer:

<em>( 4, 11 ) , ( - 4, 27 ) </em>

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = - 2x + 19

x² - 2x + 3 = - 2x + 19

x² - 16 = 0

( x + 4 )( x - 4 ) = 0

x_{1} = - 4

x_{2} = 4

f(x) = y_{1} = - 2( - 4 ) + 19 = 27

y_{1} = 27

f(x) = y_{2} = - 2( 4 ) + 19 = 11

y_{2} = 11

<em>( 4, 11 ) , ( - 4, 27 )</em>

6 0
3 years ago
A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose sev
Julli [10]

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0
2 years ago
A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degr
melomori [17]

Answer:

Step-by-step explanation:

An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place

3 0
2 years ago
Find B if the graph of the equation 3x=By+2 is perpendicular to the graph of 3y=-2x+4.
Romashka [77]

Answer:

B = \frac{3x}{y} - \frac{2}{y}

8 0
3 years ago
Please help me ASAP yall!!!
ASHA 777 [7]

Answer:

60

Step-by-step explanation:

<C+<D = 180 since they form a straight line

5x+20 +3x = 180

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

We want to find angle D

<D = 3x= 3*20 = 60

8 0
3 years ago
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