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Annette [7]
3 years ago
15

Solve the inequality 1≥−y/4

Mathematics
2 answers:
scoundrel [369]3 years ago
6 0

Answer:

y≥-4 or (-4,∞)

Step-by-step explanation:

Galina-37 [17]3 years ago
6 0

Answer:

The solution of the given inequality is {y|y≥-4}

Step-by-step explanation:

Given inequality is:

1\geq -\frac{y}{4} \\Switching\ sides\\-\frac{y}{4}\leq 1\\Multiplying\ both\ sides\ by\ 4\\-y\leq 4\\Multiplying\ both\ sides\ by -1\\y\geq -4

Hence, the solution of the given inequality is {y|y≥-4} ..

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The volume of the cone is 50π ft³. The height is 6 ft. What is the radius of the​ cone?
laila [671]

Answer:

r = 5 feet

Step-by-step explanation:

see attached for reference

recall that volume of a circular cone is given by

V = (1/3) πr²h, where

V = volume = given as 50π ft³

r = radius (we are asked to find this)

h = height of cone = given as 6 feet

Substituting the above known values into the equation:

V = (1/3) πr²h

50π = (1/3) π (r²)(6)

50π = π (r²)(2)  (divide both sides by 2)

25π = π r²   (divide both sides by π)

25 = r²

r = ±√25

r = ±5   (since radius cannot be negative, we select the positive value

r = 5 feet

3 0
3 years ago
This one too<br> Solve for x<br> z=xy
ki77a [65]

x=z/y divide by y on both sides


6 0
3 years ago
Read 2 more answers
What is an equivalent expression for 3a + 5 ?​
Georgia [21]

Answer:

Equivalent  expression:

6a + 10

or

9a + 15

6 0
3 years ago
What is the area of the parallelogram?
Ulleksa [173]

The area of a parallelogram is denoted by b * h, where b is the base and h is the height.

In this case, the b is 15 inches, and the h is 4 inches. Multiply these together and you get: 15 * 4 = 60 square inches.

6 0
3 years ago
2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa
Ber [7]

Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed × time

Distance travelled by train A after 4 hours is

4(x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 × x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

x = 656/8 = 82 miles per hour

The speed of train A would be

82 - 16 = 66 miles per hour.

6 0
3 years ago
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