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BARSIC [14]
3 years ago
9

8 (1/2x -1/4) > 12-2x

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

x > 7/3

Step-by-step explanation:

Distribute by 8 first

4x - 2 > 12 - 2x

6x - 2 > 12

6x > 14

x > 14/6. or x > 7/3

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Danielle fill a container with soil by using a bowl. The bowl holds 3/4 cup of soil. Danielle use 13 full bowl of soil to fill t
bixtya [17]
The container holds 9 3/4 cups of soil

6 0
3 years ago
An equipment rental company charges a flat rate of $25, plus $13 per day for insurance. Kyle has $121. Write an inequality to re
damaskus [11]
The inequality begins with the flat fee of $25.  We then add the $13 per day for insurance as 13<em>d</em>, where <em>d</em> is the number of days.  This gives us the expression
25 + 13<em>d</em>.  Since he only has $121, we must use less than or equal to for our inequality; he can't spend any more than $121, but he can spend any number below it up to that number.  This gives us
25 + 13<em>d</em> ≤ 121<em />
8 0
3 years ago
I WILL GIVE BRAINLIEST Given: BFCE, AB perpendicular to BE, DE perpendicular to BE,
mars1129 [50]

Answer:

Step-by-step explanation:

From the given picture,

∠ABE = ∠DEF = 90° [Since, AB and DE are perpendicular to DE]

m∠ECA = m∠BFD [Given]

m∠ECA + m∠ACB = 180° [Liner pair of angles]

m∠BFD + m∠DFE = 180° [Liner pair of angles]

m∠ACB + m∠ECA = m∠BFD + m∠DFE [Transitive property]

m∠ACB = m∠DEF [Since, m∠ECA = m∠BFD]

Therefore, ΔABC ≅ ΔDEF [By AA property of similarity]

3 0
3 years ago
What is the mean of this set 18,21,20,14,17
konstantin123 [22]

Answer: 18

Step-by-step explanation:

Add them all up

18+21+20+14+17=90

Divide by 5 since that is how many numbers there are

90/5=18

6 0
3 years ago
Read 2 more answers
Find the area of the shaded region.
lbvjy [14]

Answer:

48\pi\\\approx 150.796

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

A=(\pi)(r^2)

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. (\pi) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

A_l-A_s\\=64\pi - 16\pi\\=48\pi

\approx150.796

5 0
3 years ago
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