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3 years ago

Which pair of ratios form a proportion?

Mathematics

2 answers:

Semmy [17]3 years ago

5 0

Answer: Your Answer Is Option D

XxLilDaddyYT (Instagram)

leva [86]3 years ago

4 0

Answer:

D: 5 : 8 and 20 : 32

Step-by-step explanation:

A is incorrect because 3 x 1.33 = 4 and 4 x 1.25 = 5.

B is incorrect because 10 x 1.6 = 16 and 12 x 1.5 = 18.

C is incorrect because 7 x 1.428 = 10 and 10 x 1.4 = 14.

D is correct because 5 x 4 = 20 and 8 x 4 = 32.

another way of solving the ratio answers is by putting them in a fraction 5/8 = .625 and also does 20/32 = .625.....

Easy right!?

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Solving by elimination 5x+2y= -3 3x+3y=9 please help me solve x and y

-Dominant- [34]

1) -3(5x+2y=-3)⇒ -15x-6y=9
⇒ -9x=27
2(3x+3y=9)⇒ 6x+6y=18

2) -9x/-9=27/-9 ⇒ x=-3

3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6

Answer: (-3,6)

Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.

Step 2) Once y is eliminated, solve for x.

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3 years ago

Set up an equation and solve the following problem.

nordsb [41]

Answer:

The speed of Dave is 42 miles per hour

The speed of Kent is 46 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by Dave = d = 210 miles

The time taken by Dave = t hour

The speed of Dave = s miph

Again

The distance cover by Kent = D = 230 miles

The time taken by Kent = T hour

The speed of Kent = S = (s + 4 ) miph

For Dave

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, t = $\dfrac{\textrm d miles}{\textrm s miph}$

Or, t = $\dfrac{\textrm 210 miles}{\textrm s miph}$

For Kent

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, T = $\dfrac{\textrm D miles}{\textrm S miph}$

Or, T = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

∵ Time taken by both is same

So, t = T

Or, $\dfrac{\textrm 210 miles}{\textrm s miph}$ = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

Or, 210 × (s + 4) = 230 × s

Or, 210 × s + 210 × 4 = 230 × s

Or, 210 × 4 = 230 × s -210 × s

Or, 210 × 4 = 20 × s

∴ s = $\dfrac{840}{20}$

i.e s = 42 miph

So, The speed of Dave = s = 42 miles per hour

Again

The speed of Kent = S = (s + 4 ) miph

i.e S = 42 + 4

or, S = 46 miph

So, The speed of Kent = S = 46 miles per hour

Hence,The speed of Dave is 42 miles per hour

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