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3 years ago

(Iv'e posted this question before, but I forgot the multiple choice answers)

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

<h3>Option D</h3><h3>The simplified version of 7x − 4(x − 8) = 56 is 3x + 32 = 56</h3>

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

$7x - 4(x - 8) = 56$

Use distributive property to simplify the expression

By distributive property,

a(b + c) = ab + ac

Therefore,

$7x - 4(x - 8) = 56\\\\7x - 4x + 32 = 56$

Combine the like terms : 7x - 4x = 3x

Therefore,

$3x + 32 = 56$

Thus option D is correct

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In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?

borishaifa [10]

Answer:

The angle measure would be 40°

Step-by-step explanation:

Right angles have a measure of 90. Since DC is 50, 90-50 is 40.

6 0

3 years ago

Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two ang

Alex777 [14]

Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

$5x + 6 + 3x + 4 = 90$

$8x + 10 = 90$

$8x = 90 - 10$

$8x = 80$

$x = \frac{80}{8}$

$x = 10$

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

Angle GHI measures 56º, and angle JKL measures 34º.

5 0

3 years ago

1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into t

rjkz [21]

Here we have 3 general algebraic problems that we need to solve. Using simple reasoning we can solve these.

1) You will buy a board of length L.

You will cut two pieces that are 1.4 ft long.

So at this point, the length of the board piece is:

L - 1.4ft - 1.4ft = L - 2.8ft.

Now, you want this to be 1.17 times longer than 1.4ft, then we need to solve:

L - 2.8ft. = 1.17*(1.4ft) = 1.638ft

L = 1.638ft + 2.8ft = 4.438ft

Rounding to the nearest tenth, we get:

L = 4.4 ft

This is the length of board you should buy.

2) Here we know:

You pay $0.13 per KW-h

This month, you pay a total of $83.96

The total number of KW-h you used is equal to the quotient between the total amount you paid and the price of a single KW-h, this is:

N = $83.96/$0.13 = 645.85

This month you used 645.85 KW-h in your home.

3) Here we know:

You pay $0.09 per KW-h.

Running the bulb for one hour consumes 0.06 KW-h

So, if you leave one of these lights on all day (24 hours) it would consume:

24*0.06 KW-h = 1.44 KW-h

If you instead leave 5 of these bulbs, you will consume 5 times that amount:

5*1.44 KW-h = 7.2 KW-h

This is in one single day, if you do this for 30 days, the total consumption is:

30* 7.2 KW-h = 216 KW-h

And you pay $0.09 for each one of these, then the cost is 216 times $0.09

Cost = 216*$0.09 = $19.44

If you want to learn more about algebra, you can read:

brainly.com/question/24382046

3 0

3 years ago

17+p=7p-13 Plz help me asap

Hunter-Best [27]

First you had to subtract by seventeen from both sides of equation form.

$17+p-17=7p-13-17$

Then simplify.

$p=7p-30$

Next, subtract by seven-p from both sides of equation form.

$p-7p=7p-30-7p$

Simplify.

$-6p=-30$

Then you divide by negative six from both sides of equation form.

$\frac{-6p}{-6}= \frac{-30}{-6}$

And finally, simplify by equation.

$-30/-6=5$

Final answer: $\boxed{p=5}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

4 0

3 years ago

A ball dropped from the top of a building can be modeled by the function

timama [110]

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

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3 years ago