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3 years ago

Write a proportion to find how many points x

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

6 0

80 percent multiplied by 80 is 64
he must get 64 points to obtain 80 percent of the mark

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The number of hours, h, that Mr. Hampton works varies directly with the number of tasks, t, he has to perform. If he has 6 tasks

olga2289 [7]

i think its 2.5 because 15/6= 2.5 so 2.5t=h and the equation is kt=h so 2.5 makes the most sense.

I hope this helps

4 0

2 years ago

Ryan spent $26.32 on 8 gallons of gas. How much would he spend for 20 gallons?

Nana76 [90]

Answer:

$65.80

Step-by-step explanation:

Divide 26.32 by 8 to find how much is in one gallon.

26.32÷8=3.29

So it's 3.29 per gallon.

Multiply 3 29 by 20.

20×3.29= 65.8

So he would spend $65.80

5 0

3 years ago

Read 2 more answers

Find the sum of 12a + 7b, −6a − 9, and 14a − 12b.

Ivan

The answer is: [A]: " 20a − 5b − 9 " .
______________________________________
Explanation:
_______________________________________________
(12a + 7b) + (−6a − 9) + (14a − 12b) =

12a + 7b + 1(−6a − 9) + 1(14a − 12b) =

12a + 7b + (1*-6a) + (1*-9) + (1*14a) + (1* -12b) =

12a + 7b − 6a − 9 + 14a − 12b = ?

Combine the "like terms:

12a − 6a + 14a = 20a ;

7b − 12b = - 5b ;

and then we have "-9" ;
_____________________________________________________
So, write as: " 20a − 5b − 9 " ; which is: Answer choice: [A].
______________________________________________________

8 0

3 years ago

Read 2 more answers

The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.

Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

$t_{n}$ = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

$t_{4}$ = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12 ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation 2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

$t_{17}$ = a + 16d

$t_{17}$ = -6 + 16 (6)

$t_{17}$ = -6 + 96

$t_{17}$ = 90

Therefore : the 17th term of the sequence is 90

6 0

3 years ago

Mara has a shipping crate in the shape of a rectangular prism with inside dimensions of 2 feet by 3 feet by 4 feet. Mara will pa

Vladimir [108]

1. Multiply the length, width, and height to get the volume of the box, which is 24 ft³. 2. Each cube has a volume of 4, right? So divide 24 by 4 to get 6. 6 boxes can fit into the crate.

4 0

3 years ago