For which value of x is the equation 3(x + 2) + x = 2x + 16 true?

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls.

max2010maxim [7]

<h3>Trina uses 3.44 or $\frac{ 17.2}{5}$ pints of white paint</h3>

Solution:

Given that,

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls

3/5 of the amount is blue paint, and the rest is white paint

From given,

3/5 of 8.6 pints is blue paint

$Remaining = 1 - \frac{3}{5}\\\\Remaining = \frac{2}{5}$

Thus, 2/5 of 8.6 pints is white paint

How many pints of white paint did she use to paint her bedroom walls?

$White\ paint = \frac{2}{5} \times 8.6\\\\White\ paint = \frac{17.2}{5}\\\\White\ paint = 3.44$

Thus she uses 3.44 or 17.2/5 pints of white paint

5 0

3 years ago

Collins Middle School has 217 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the

lbvjy [14]

Answer:620

Step-by-step explanation: lets say the total of school is X so:

X.35÷100=217

when we calculate this the answer will be 620

4 0

3 years ago

Read 2 more answers

Last week, 4.3 inches of rain filled a rain gauge. This week, another 3.375 inches of rain filled the gauge. What was the total

Greeley [361]

7.675 inches of rain was the total amount in the two weeks

3 0

3 years ago

Read 2 more answers

Solve for x. y=x-12 y= 14

masya89 [10]

Answer:

26

Step-by-step explanation:

Check answer:

14+12= 26

26-12=14

8 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form for the following line: (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

3 years ago