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White raven [17]
3 years ago
15

Explain why you should proform the distributive property in the expression 4x+3(2x+1) before simplifying it any other way. Then

simplify
Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
You use the distributive property to simplify expressions.

4x+3(2x+1)

2 times 2x is 6x
3 times 1 is 3
4x times 2x is 8x
4x times 1 is 4x

total that is 6x+8x+4x+3=18x+3

Hope it helps!
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The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c
cestrela7 [59]

Answer:

It will cost $79.38 to carpet the shape

Explanation:

Find the diagram of the parallelogram attached

Area of a parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1*3.5

Area of a parallelogram  = 28.35m²

Since 1m² = $2.80

28.35m² = x

Cross multiply

x = 28.35 * 2.80

Hence it will cost $79.38 to carpet the shape

5 0
2 years ago
A picture has a height that is 2 times it’s width . It is to be enlarged to an area of 128 in 2
morpeh [17]

9514 1404 393

Answer:

  8 in by 16 in

Step-by-step explanation:

In your equation, we presume that x represents the width. Solving for x, we have ...

  2x² = 128 . . . . . . given equation

  x² = 64 . . . . . . . . divide by 2

  x = √64 = 8 . . . . square root

The enlargement will be 8 inches by 16 inches.

8 0
2 years ago
The radius of the sun is approximately 700,000 kilometers. What is the volume of the sun?
Anit [1.1K]
The radius of the sun is approximately 700,000 kilometers<span>. What is the </span>volume of the sun? V = F | m. 4)(700000km<span>)? V = 1.436 X 1018 km3. The </span>volume of the sun is approximately<span> 1.436 X 1018 km². 6. An ice cream cone has </span>a diameter<span> of 3 inches.</span>
5 0
3 years ago
In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want
bixtya [17]

Answer:

<h2>0.05543</h2>

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

M.E = z * \sqrt{\frac{p*(1-p)}{n} } where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

5 0
2 years ago
Using the information in the customer order, determine the length and width of the garden. Enter the dimensions. ↓
SashulF [63]

Answer:

Length: 14 feet   Width: 1 foot

Step-by-step explanation:

This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.

For perimeter:

14 + 14 = 28

1 + 1 = 2

2 + 28 = 30

These dimensions have a perimeter of 30.

For area:

14 x 1 = 14

These dimesnions also have an area of 14.

So, 14 and 1 are the correct dimensions!

6 0
2 years ago
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