In maths what is 17x

What is the solution set of this inequality? 8(x-5)-3x>/= -20

Gnom [1K]

Answer:

[ 4, ∞ )

Step-by-step explanation:

Given

8(x - 5) - 3x ≥ - 20 ← distribute and simplify left side

8x - 40 - 3x ≥ - 20

5x - 40 ≥ - 20 ( add 40 to both sides )

5x ≥ 20 ( divide both sides by 5 )

x ≥ 4

Solution set is [ 4, ∞ )

5 0

3 years ago

Please answer 2.) a and b!

KatRina [158]

1.a. correct

1.b. $\sqrt{121} - \sqrt{9} = 11 - 3 = 8$

1.c. correct

1.d. $-\sqrt{36} - \sqrt{100} = -6 - 10 = -16$

2.a. 7 - x + 3w - 9

Terms: 7, -x, 3w, -9

Variables: x, w

Coefficients: -1, 3

Constants: 7, -9

2.b. -g + 8k - 3 - 7

Terms: -g, 8k, -3, -7

Variables: g, k

Coefficients: -1, 8

Constants: -3, -7

3.a. correct

3.b. correct

3.c. -5+ 4x = -x

4.a. 4(2x + 3) = 8x + 12

4.b. -2(3x + 4) = -6x - 8

4.c. -5(2x - 3) = -10x + 15

7 0

3 years ago

When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t

aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0

3 years ago

Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can?

34kurt

Answer:

438.501cm^3

Step-by-step explanation:

Given data

Height of can= 12cm

Radius= 3.5cm

The capacity of the can is expressed as

V= πr^2h

V= 3.14*3.5^2* 12

V= 3.14*12.25*12

V= 461.58cm^3

Hence the capacity is 461.58cm^3

We are also given that the juice amount to 95% of the capacity of the can

95/100*461.58= x

0.95*461.58=x

x=438.501cm^3

This means that the volume of the juice is 438.501cm^3

8 0

3 years ago

George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine t

Crazy boy [7]

<h2>Hello!</h2>

The answer is: George made his first mistake in Step 1.

Getting a result of 26 cars needed means that he didn't take in consideration the next month in the mean calculation.

We have information of the number of sold cars of the first seven months, but if he wants to calculate the number of cards he needs to have a mean of 24 sold cards next months, he should take in consideration an extra month (the eighth month).

Checking the mistake:

$\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24$