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Ilia_Sergeevich [38]
3 years ago
10

Twice the sum of x and 6 is at most 52. What is the greatest value of x that satisfies the inequality that represents this situa

tion?

Mathematics
2 answers:
Shalnov [3]3 years ago
6 0
Our inequality looks like this:
2(x+6)≤52
Using the Distributive Property, we have
2*x + 2*6 ≤52
2x+12≤52
Cancel the 12 by subtracting from both sides:
2x+12-12≤52-12
2x≤40
Divide both sides by 2:
2x/2 ≤ 40/2
x≤20
x cannot be any more than 20 to satisfy this inequality.
frozen [14]3 years ago
5 0
◆ Linear Inequalities ◆

Hey !!

Check the attachment.
Hope it helps you :)

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Solve <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%7D%7B4%20-%20x%7D%20%3D%20%5Cfrac%7B5%7D%7B%284%20%2B%20x%29%7D%20
lisov135 [29]

Domain:\\4-x\neq0\ \wedge\ 4+x\neq0\\x\neq4\ \wedge\ x\neq-4\\\\\dfrac{4}{4-x}=\dfrac{5}{4+x}\qquad\text{cross multiply}\\\\4(4+x)=5(4-x)\qquad\text{use distributive property}\\\\(4)(4)+(4)(x)=(5)(4)+(5)(-x)\\\\16+4x=20-5x\qquad\text{subtract 16 from both sides}\\\\4x=4-5x\qquad\text{add 5x to both sides}\\\\9x=4\qquad\text{divide both sides by 9}\\\\\boxed{x=\dfrac{4}{9}}

6 0
2 years ago
The radius of a circular park is 114 yd. To the nearest yard, what is the
Ahat [919]

Answer:

716 yards

Step-by-step explanation:

Circumference = π × Diameter

2 × Radius = Diameter

2 × 114 = 228

Circumference = π × Diameter

Circumference = π × 228 = 228π = 716.283125018

3 0
3 years ago
Read 2 more answers
PLEASE I NEED THE ANSWERS
Olenka [21]

Answer:

1 is not a transformation

2 is a reflection

3 is a dilation

4 is a translation

Step-by-step explanation:

8 0
3 years ago
Determine if the following series converges or diverges. Show steps!
MAXImum [283]
Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
3 0
3 years ago
The angles with measures x and 4x are complementa angles.which is the value of x
pochemuha

Answer:

\huge\boxed{x=18^o}

Step-by-step explanation:

Two angles are Complementary when they add up to 90°.

Therefore

x+4x=90\qquad|\text{combine like terms}\\\\5x=90\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{90}{5}\\\\\boxed{x=18}

8 0
3 years ago
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