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3 years ago

Which of the following is the solution to 4/5 = 20/(x-5)?

Mathematics

2 answers:

Alexxandr [17]3 years ago

8 0

Answer:

x=30

Step-by-step explanation:

$\frac{4}{5}=\frac{20}{x-5} \\\\4(x-5)=20*5\\\\4x-20=20(5)\\\\4x=20(5)+20(1)\\\\4x=20(5+1)\\\\4x=20(6)\\\\x=\frac{20(6)}{4} \\\\x=5*6\\\\x=30$

True [87]3 years ago

7 0

$\frac{4}{5} = \frac{20}{(x - 5)}$

By Cross-multiplication

$\implies4 \times (x - 5) = 20 \times 5$

$\implies4x - 20 = 100$

$\implies4x = 100 + 20$

$\implies4x = 120$

$\implies \: x = \cancel \frac{120}{4}$

$\implies \: x = 30$

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The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo

andrew11 [14]

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

$y \alpha \frac{1}{x}\\y =\frac{k}{x}$

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

5 0

3 years ago

Basic geometry ( linear associaton)

harina [27]

Answer:

Step-by-step explanation:

The answer is not A or D because they show a linear association

The answer is also not c because they show no correlation at all

The answer is B because it has a curve

Hopefully this image helps :)

4 0

2 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the linear equations with their x-

jolli1 [7]

Answer:

Part 1) $x-2y=2$ ----> (2,0) and (0,-1)

Part 2) $-3x+3y=7$ ----> (-7/3,0) and (0,7/3)

Part 3) $7x-y=21$ ----> (3,0) and (0,-21)

Part 4) $3x-5y=-20$ ----> (-20/3,0) and (0,4)

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Part 1) we have

$x-2y=2$

1) Find the x-intercept

For y=0

$x-2(0)=2\\x=2$

the x-intercept is (2,0)

2) Find the y-intercept

For x=0

$0-2y=2\\y=-1$

the y-intercept is (0,-1)

Part 2) we have

$-3x+3y=7$

1) Find the x-intercept

For y=0

$-3x+3(0)=7\\x=-\frac{7}{3}$

the x-intercept is (-7/3,0)

2) Find the y-intercept

For x=0

$-3(0)+3y=7\\y=\frac{7}{3}$

the y-intercept is (0,7/3)

Part 3) we have

$7x-y=21$

1) Find the x-intercept

For y=0

$7x-(0)=21\\x=3$

the x-intercept is (3,0)

2) Find the y-intercept

For x=0

$7(0)-y=21\\y=-21$

the y-intercept is (0,-21)

Part 4) we have

$3x-5y=-20$

1) Find the x-intercept

For y=0

$3x-5(0)=-20\\x=-\frac{20}{3}$

the x-intercept is (-20/3,0)

2) Find the y-intercept

For x=0

$3(0)-5y=-20\\y=4$

the y-intercept is (0,4)

8 0

3 years ago

At the movies, a couple bought 2 medium drinks and a large popcorn for

LuckyWell [14K]

Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50

From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25

4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75

Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

7 0

3 years ago

What is the equivalent fraction for 2 4

Vesnalui [34]

1/2 is equivalent to 2/4

6 0

3 years ago