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Galina-37 [17]
2 years ago
8

What is the solution to –2(8x – 4) < 2x + 5?

Mathematics
1 answer:
Contact [7]2 years ago
4 0

The solution to –2(8x – 4) < 2x + 5 is x > 1/6

<h3>How to solve the inequality?</h3>

The expression is given as:

–2(8x – 4) < 2x + 5

Expand

-16x + 8 < 2x + 5

Evaluate the like terms

-18x < -3

Divide both sides by -18

x > 1/6

Hence, the solution to –2(8x – 4) < 2x + 5 is x > 1/6

Read more about inequalities at:

brainly.com/question/11613554

#SPJ1

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How do you write 22.5% as a fraction in simplest form?
Darya [45]

Answer: 9/40

Step-by-step explanation: To write a percent as a fraction in lowest terms, remember that a percent is a ratio that compares a number to 100.

So here, 22.5% can be written as the ratio 22.5 to 100 or 22.5/100.

Notice however that 22.5/100 is not in lowest terms so we need to multiply the numerator and the denominator of 22.5 by 10 in order to remove the decimal point. When we do this, we will end up with the fraction 225/1000.

The fraction 225/1000 can be written in lowest terms by dividing both the numerator and the denominator by 25 and we get the fraction 9/40.

Therefore, 22.5% can be written as the fraction 9/40.

4 0
3 years ago
Find difference 7 7/8-3 1/4
umka2103 [35]
So first convert to improper fractions
7 and 7/8=7+7/8=56/8+7/8=63/8

3 and 1/4=3+1/4=12/4+1/4=13/4

so nowe we have
63/8+13/4
convert bottom number to same
which is 8
13/4 times 2/2=26/8
now we have
63/8-26/8=37/8=4 and 5/8
answer is 4 and 5/8
8 0
3 years ago
Soccer balls cost $24 each at Sports Emporium. Coach Neville can spend at the most $120 on equipment for the soccer team. Let b
MrRissso [65]

Answer:

5

Step-by-step explanation:

24b≤120

3 0
3 years ago
Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464
Vika [28.1K]

Answer:

L=3.999 \: dm

A=183.4581\:dm^{2}

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

a_{p}=L\frac{2+\sqrt{3}}{2}

Sabiendo que la apotema es 7.464 el lado sera:

L=\frac{2*a_{p}}{2+\sqrt{3}}

L=\frac{2*7.464}{2+\sqrt{3}}

L=3.999 \: dm

Por otro lado el area de un dodecágono regular esta dada por:

A=6a_{p}L

A=6*7.646*3.999

A=183.4581\:dm^{2}

Espero te haya sido de ayuda!

7 0
3 years ago
Carlos plots a circular planter's wall on a computer. He determines that the circle that defines the part of the planter wall th
lyudmila [28]
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
 
 2. The standard form for the equation of a circle is:
 
 (x-h)</span>²+(y-k)²=r²
 
 (h,k) is the center point.
 r is the radius.
 
 3. Keeping this on mind, you can find the value of the radius, as below:
 
 r²=36
 r=√36
 r=6 m
 
 4. Then, the diameter of the circle is:
 
 D=2r
 D=2(6m)
 D=12 m
<span> 
 What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>  
 
 The answer is: 12 m

5 0
3 years ago
Read 2 more answers
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