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Naya [18.7K]
3 years ago
15

Find three ratios equivalent to 5/7

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

10/14, 15/21

Step-by-step explanation:

WE are given a ratio 5/7

To find equivalent ratios it is sufficient to multiply both numerator and denominator by the same number

Let us take 2,3 for example.

When we multiply both numerator and denominator by 2, value does not change.

Hence we get equivalent fraction.

So 10/14 is one such fraction.

Next is multiply by 3

15/21 is another fraction.

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Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =
aniked [119]

Answer:

The equation of the line is:

  • y\:=\:\frac{3}{2}x\:-12

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • y-intercept b = -12
  • slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

y = mx+b

y\:=\:\frac{3}{2}x\:+\:\left(-12\right)

y\:=\:\frac{3}{2}x\:-12

Therefore, the equation of the line is:

  • y\:=\:\frac{3}{2}x\:-12
8 0
2 years ago
The following data set represents the number of siblings of six students in music class
Julli [10]

Answer:

I tried my best to made the graph

3/-1/2

2/0/1

4/-2/3

2/0/1

1/+1/0

0/+2/1

4 0
2 years ago
Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cart
sergejj [24]

2/5 were sold in the morning. This is equal to 40% of the total.  That leaves 60% leftover.

 

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

 

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

 

5/100 = 24/x

5x = 24(100)

5x = 2400

x = 480

 

ANSWER: 480 cartons

6 0
3 years ago
Which equation matches the function described in the table?
BaLLatris [955]

Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

6 0
3 years ago
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
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