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1 year ago

5. What is the solution to the equation -3(h + 5) + 2 = 4(h + 6) - 9

Mathematics

2 answers:

Klio2033 [76]1 year ago

5 0

Answer: d.h=−4

PLZ MARK BRAINLIEST!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(h+5)+2=4(h+6)−9

Step 1: Simplify both sides of the equation.

−3(h+5)+2=4(h+6)−9

(−3)(h)+(−3)(5)+2=(4)(h)+(4)(6)+−9(Distribute)

−3h+−15+2=4h+24+−9

(−3h)+(−15+2)=(4h)+(24+−9)(Combine Like Terms)

−3h+−13=4h+15

−3h−13=4h+15

Step 2: Subtract 4h from both sides.

−3h−13−4h=4h+15−4h

−7h−13=15

Step 3: Add 13 to both sides.

−7h−13+13=15+13

−7h=28

Step 4: Divide both sides by -7.

−7h

−7

h=−4

harkovskaia [24]1 year ago

4 0

Answer:

d. h = -4

Step-by-step explanation:

-3(h + 5) + 2 = 4(h + 6) - 9

-3h - 15 + 2 = 4h + 24 - 9

-3h - 13 = 4h + 15

collect like terms

- 3h - 4h = 15 + 13

-7h = 28

therefore h = -4

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One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that

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At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

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To reach a conclusion, we have to observe the confidence interval.

Should management conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components?

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2 years ago

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gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

9x-7x=25+7

2x=32

x=16

Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

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2 years ago

An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00

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Answer:

The quantity of clover seeds the worker will add is 11.14 pounds

Step-by-step explanation:

Let

x=Poppy seed

y=clover seed

24x+13y=20.70(x+y)

x=26 pounds

Substitute x=26 pounds into the equation

24x+13y=20.70(x+y)

24(26)+13y=20.70(26+y)

624+13y=538.2 +20.70y

Collect like terms

624-538.2=20.70y-13y

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Divide both sides by 7.7

y=85.8/7.7

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Therefore, the quantity of clover seeds the worker will add is 11.14 pounds

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