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TEA [102]
3 years ago
11

What is 8(2x+5)=16x+40?

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

8(2x + 5) = 16x + 40

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 8:                                  16x + 40 = 16x + 40
  2. Subtract 40 on both sides:          16x = 16x
  3. Divide 16 on both sides:               x = x

Here we see that <em>x</em> does indeed equal <em>x</em>.

∴ <em>x</em> has an infinite amount of solutions.

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49 POINTS! PLEASE HELP!
SSSSS [86.1K]

Answer:

B (2, 2)

Step-by-step explanation:

Given the graphs of a system of equations then the solution is at the point of intersection of the 2 lines.

That is (2,2) ← is the solution → B

5 0
4 years ago
Read 2 more answers
Eight less than four times a number is less than 56. What are the possible values of that number?
Jlenok [28]

Answer:

Step-by-step explanation:

Let x be the number.

4x -8 < 56

x ={ ........-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

5 0
4 years ago
Read 2 more answers
Find the area of the following shape. You must show all work to receive credit.
Svetach [21]

Answer:

8

Step-by-step explanation:

Split up the shape into three smaller shapes: a triangle at the top, a 1 by 2 rectangle, and a triangle at the bottom left. The 1 by 2 rectangle has an area of 2. The triangle at the top has an area of (4*2)/2 = 4, and the triangle at the bottom right has an area of (2*2)/2 = 2.

Therefore, the total area of the shape is 2 + 4 + 2 = 8

Hope this helped!

<em>Please mark as brainliest!!!</em>

8 0
2 years ago
It was reported that in a survey of 4794 American youngsters aged 6 to 19, 15% were seriously overweight (a body mass index of a
iris [78.8K]

Answer:

The 99% confidence level for the proportion of all American youngsters who are seriously overweight is (0.137, 0.163)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 4794, \pi = 0.15

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.15 - 2.575\sqrt{\frac{0.15*0.85}{4794}} = 0.137

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.15 + 2.575\sqrt{\frac{0.15*0.85}{4794}} = 0.163

The 99% confidence level for the proportion of all American youngsters who are seriously overweight is (0.137, 0.163)

3 0
3 years ago
What is 3n-2/5=7/10 solve please
Tems11 [23]

Answer:  \bold{n=\dfrac{11}{6}}

<u>Step-by-step explanation:</u>

\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\

8 0
3 years ago
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