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2 years ago

Tell whether the two ratios form a proportion. 120 baskets made in 3 days and 720 baskets made in 18 days.

Mathematics

1 answer:

tiny-mole [99]2 years ago

3 0

Answer:

Yes they form a proportion.

Step-by-step explanation:

120:3 = 720:18 because:

3x6=18 so multiply 120 by 6 and you get 720. Which means the ratios are proportionate.

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crimeas [40]

The answer is D. 12
4, 3 and 2 are all factors of 12 (least common denominator)

6 0

3 years ago

Please help im being timed Inverse of f(x)=15x+4

rusak2 [61]

Answer:

$f^{-1}$ (x) =

Step-by-step explanation:

let y = f(x), then rearrange making x the subject

y = $\frac{1}{5}$ x + 4 ( subtract 4 from both sides )

y - 4 = $\frac{1}{5}$ x ( multiply both sides by 5 to clear the fraction )

5y - 20 = x

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = 5x - 20

3 0

3 years ago

A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the

STALIN [3.7K]

Answer:

The width of rectangle is $W=\frac{108}{13}\ cm$ or $8\frac{4}{13}\ cm$

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm$

substitute

$26=2(x+4+12x)$

solve for x

$26=2(13x+4)$

$26=26x+8$

$26x=26-8$

$26x=18$

$x=\frac{18}{26}$

simplify

$x=\frac{9}{13}$

Find the width of rectangle

$W=12x\ cm$

substitute the value of x

$W=12(\frac{9}{13})=\frac{108}{13}\ cm$

Convert to mixed number

$\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm$

7 0

2 years ago

A motorboat travels 244 kilometers in 4 hours going upstream and 749 kilometers in 7 hours going downstream. What is the rate of

Kryger [21]

Answer:

Speed of Motorboat = 84 kmph

Speed of Current = 23 kmph

Step-by-step explanation:

Distance Equation is:

D = RT

Where

D is distance

R is rate

T is time

Downstream rate is rate of boat PLUS current

Upstream rate is rate of boat MINUS current

Let rate of boat be "x" and rate of current be "c".

From first statement, we can write:

244 = (x - c)(4)

From second statement, we can write:

749 = (x + c)(7)

The first equation becomes:

244 = 4x - 4c

The second equation becomes:

749 = 7x + 7c

Multiplying first equation by 7 , we have:

7 * [244 = 4x - 4c] = 1708 = 28x - 28c

Multiplying 2nd equation by 4, we have:

4 * [749 = 7x + 7c] = 2996 = 28x + 28c

Now we add up these equations (in bold):

1708 = 28x - 28c

2996 = 28x + 28c

----------------------------

4704 = 56x

x = 4704/56

x = 84

Now using this value and plugging in original equation, we can find "c":

244 = 4x - 4c

244 = 4(84) - 4c

244 = 336 - 4c

4c = 92

c = 92/4

c = 23

Speed of Motorboat = 84 kmph

Speed of Current = 23 kmph

6 0

3 years ago

An exercise machine with an original price of $626 is on sale at 20% off

iren [92.7K]

Answer:

$125.2-discount

$500.8-sale price

Step-by-step explanation:

hope it helps

5 0

2 years ago