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1 year ago

6

Mr. Brent uses 1/4 cup of blue paint and 1/4 cup of yellow paint to make each patch of green paint. How many batches of green pa

int can he make with the amount of the paint left? Explain ( amount left 3cups of Blue anf 4 cups of yellow

2 answers:

harina [27]1 year ago

6 0

12 batches of green paint

Nata [24]1 year ago

4 0

12 batches:D hope I helped

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If LO = 15x+19 and QN = 10x+2 find PN

svet-max [94.6K]

Answer:

$PN=64\ units$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

$QN=\frac{1}{2}LO$

substitute the given values

$10x+2=\frac{1}{2}(15x+19)$

solve for x

$20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3$

Find the length of PN

Remember that

$PN=LO$ ----> diagonals of rectangle are congruent

$LO=15x+19$

substitute the value of x

$LO=15(3)+19=64\ units$

therefore

$PN=64\ units$

8 0

2 years ago

mary is preparing for her college entrance exams. in a practice test, she answered 12 problems in 30 minutes. at this rate, how

mariarad [96]

12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes

Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.

Hope this helps xx

3 0

2 years ago

Read 2 more answers

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = $t_{\frac{\alpha}{2}}$ = 2.131

The formula to calculate the confidence interval is:

$(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })$

We have all the required values. Substituting them in the above expression, we get:

$(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)$

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

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2 years ago

on a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system. a pictu

slava [35]

C. Region D

Step-by-step explanation:

Just plug the equations into desmos the calculator will graph it and show you with colors where the solution is.

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1 year ago

Which expression can be used to find the sum of the polynomials?<br><br>(9 – 3x2) + (–8x2 + 4x + 5)

Wittaler [7]

9-3x2-8x2+4x+5=-11x2+4x+14

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1 year ago