All categories

3 years ago

X+2/4 = 3/8 solve for x

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

Answer:

Step-by-step explanation:

Isolate x on one side of the equation.

x+2/4=3/8

2/4=1/2 (First, use the common factor of 2.)

x+1/2=3/8

x+1/2-1/2=3/8-1/2 (Then, subtract 1/2 from both sides.)

3/8-1/2 (Solve.)

3/8-1/2=-1/8

-1/8=-0.125

x=-1/8=-0.125

In conclusion, the final answer is x=-1/8=-0.125.

You might be interested in

Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?

romanna [79]

Answer:

$100 is less than or equal to x

7 0

3 years ago

Read 2 more answers

Please someone explain how to solve this piecewise function!!!! Im super confused

Xelga [282]

Answer:

From top to bottom:

$0, 1, 2, -8, -8$

Step-by-step explanation:

We are given the piecewise function:

$g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.$

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

$g(-2)=0.5(-2)+1=-1+1=0$

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

$g(0)=0.5(0)+1=1$

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

$g(2)=0.5(2)+1=1+1=2$

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

$g(4)=-8\text{ and } g(6)=-8$

7 0

3 years ago

A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this pr

Troyanec [42]

Step-by-step explanation:

L = length

W = width

L = W + 9

A = 112 = LW = (W+9)W

So,

W2 + 9W = 112

W2 + 9W - 112 = 0

Factoring

(W-7)(W+16) = 0

W = 7, -16

We discard W = -16, since a measurement cannot be negative.

W = 7

And since L = W + 9, then L = 7 + 9 = 16

This is a 16x7 rectangle

4 0

3 years ago

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

mojhsa [17]

Answer:

(A) The minimum sample size required achieve the margin of error of 0.04 is 601.

(B) The minimum sample size required achieve a margin of error of 0.02 is 2401.

Step-by-step explanation:

Let us assume that the percentage of support for the candidate, among voters in her district, is 50%.

(A)

The margin of error, MOE = 0.04.

The formula for margin of error is:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}$

The critical value of z for 95% confidence interval is: $z_{\alpha/2}=1.96$

Compute the minimum sample size required as follows:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.04=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.04}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=600.25\approx 601$

Thus, the minimum sample size required achieve the margin of error of 0.04 is 601.

(B)

The margin of error, MOE = 0.02.

The formula for margin of error is:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}$

The critical value of z for 95% confidence interval is: $z_{\alpha/2}=1.96$

Compute the minimum sample size required as follows:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.02}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=2401.00\approx 2401$

Thus, the minimum sample size required achieve a margin of error of 0.02 is 2401.

8 0

3 years ago

There are 3 people who are chosen to serve on a comitee out of a group of 3 girls and 4 boys. How many different committees can

atroni [7]

35 would be your answer.

6 0

3 years ago

Read 2 more answers