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3 years ago

Solve each equation for the bold variable

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Answer:

y = 3 - 2x

Step-by-step explanation:

The goal is to isolate the y variable

In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.

Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:

y = 3 - 2x

Now the y is isolated

Another example:

-5x + y = 15

To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:

y = 15 + 5x

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Jody got 90 problems correct on her test. Mildred got 65% of that amount correct. How many did Mildred get correct?

NikAS [45]

Answer:

I think it is 59

Step-by-step explanation:

7 0

3 years ago

Help me Solve 1/6 ÷ 2/6 please

pochemuha

$\frac{1}{6}$ ÷ $\frac{2}{6}$

First, apply this following rule: $a$ ÷ $\frac{b}{x} = a$ × $\frac{c}{b}$
$\frac{1}{6}$ × $\frac{6}{2}$
Second, apply this following rule: $\frac{a}{b}$ × $\frac{c}{d} = \frac{ac}{bd}$
$\frac{1x6}{6x2}$
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
$\frac{6}{12}$
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
$6$ ÷ $6 = 1$
Sixth, divide the denominator by the GCF.
$12$ ÷ $6 = 2$
Seventh, collect the new numerator and new denominator.
$\frac{1}{2}$

Answer as fraction: $\frac{1}{2}$
Answer as decimal: 0.5

8 0

3 years ago

Nikolay [14]

Answer:

Step-by-step explanation:

If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm

The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.

Hence,

Hypotenus = sqrt (opposite² + adjacent²)

AX = sqrt[(8²) + (6²)]

AX = sqrt(64 + 36)

AX = sqrt(100)

AX = 10

4 0

3 years ago

Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the

AlexFokin [52]

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

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3 years ago

What is the area of the figure?

adell [148]

Is there a picture?

So we can figure it out

6 0

3 years ago

Read 2 more answers

Solve each equation for the bold variable​

Solve each equation for the bold variable