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WITCHER [35]
3 years ago
12

7(1 - y) = -3(y-2) What is the answer

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

Answer:

\huge y =  \frac{1}{4}

Step-by-step explanation:

7(1 - y) = -3(y-2)

<u>Expand the terms in the bracket</u>

That's

7 - 7y =  - 3y + 6

<u>Add 3y to both sides of the equation</u>

7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6

Subtract 7 from both sides by the equation

7 - 7  - 4y = 6 - 7 \\  - 4y =  - 1

<u>Divide both sides by - 4</u>

\frac{ - 4y}{ - 4}  =  \frac{ - 1}{ - 4}  \\

We have the final answer as

y =  \frac{1}{4}  \\

Hope this helps you

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How are part-to-part ratios different from part-to-whole ratios?
PolarNik [594]

Answer:

Step-by-step explanation:

Ratios can be of 2 types here:

Part to Part

and

Part to Whole

Part-to-Part ratios give the relationship between 2 distinct things/groups. Such as the ratio of male to female in a class, or ratio of water to sugar in a drink etc.

Part-to-Whole ratios give the relationship between one group/thing to the whole population. Such as the ratio of male to total students in a class, or the ratio of cups of sugar to total cups of drinks etc.

<u>Note:</u> If there are 2 parts in a population, we can essentially write 3 ratios. For example, the ratio of male to female in a class is 4 to 5. So in total there are 4+5 = 9 parts (whole). So we can say:

ratio of male to total population is 4 to 9

ratio of female to total population is 5 to 9

Also,

ratio of male to female (as stated before) is 4 to 5

3 ratios.

4 0
3 years ago
The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left t
nikitadnepr [17]

Answer:

(b) For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

Given

(x_1,y_1) = (0,350) ---- start

(x_2,y_2) = (7,0) --- end

Required

Which is true

(a): Journey = 6 hours

This is false, because:

x = x_2 - x_1

x = 7-0

x = 7 ---- 7 hours

(b): The average rate is 50 miles per hour

To do this, we calculate the slope (m) using:

m = \frac{y_2 -y_1}{x_2- x_1}

m = \frac{0 - 350}{7-0}

m = -\frac{350}{7}

m = -50

This means that the rate is 50 miles driven in 1 hour.

<em>(b) is correct</em>

<em></em>

<em>Others are incorrect</em>

7 0
3 years ago
The coordinates of the vertices of ΔABC are A(−5, 1), B(−5, −1), and C(−1, −1). Find the side lengths and the angle measures.
givi [52]

Answer:

is b

Step-by-step explanation:

7 0
3 years ago
A right triangle has a hypotenuse of 10 mi. and a leg of 6 mi., what is the length of the other leg?
slava [35]

Answer:

8mi

Step-by-step explanation:

Using Pythagoras theorem

Hypotenuse square = opposite square + adjacent square.

Let the other leg be x

10 square = 6 square + x square

100 = 36 + x square

Collect like terms

X square = 100 -36

X square = 64

Find square root of both sides

X = square root of 64

X =8mi

I hope this was helpful, Please mark as brainliest

7 0
3 years ago
4 Celeste uses 24 inches of ribbon from a spool that holds 36 inches of ribbon. Which shows equivalent representations for the p
kaheart [24]

We are given that 24 out of 36 inches of ribbon is used. The percentage that is used is equivalent to:

\frac{24}{36}=\frac{2}{3}

Therefore, the percentage is:

\frac{2}{3}\times100=0.66\times100=66\text{ percent}

8 0
1 year ago
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