How many whole servings of 3/4 cups are in 31/2 cups of ice cream

What is the solution to this equation? x + (- 14) = 4. (A) x = 10. (B) x = - 10. (C) x = - 18. (D) x = 18

Vika [28.1K]

First, you want to get x by itself on one side. We write the equation as $x-14=4$ . Since 14 is being subtracted from $x$ , we add it to both sides to cancel it out, $x-14+14=4+14$ or $x=18$ .

Your answer would be D.

4 0

4 years ago

What is bigger 5/8 or 9/17 or 18/35

Usimov [2.4K]

Answer:

5/8= 62.5%

9/17= 52.9%

18/35= 51.4%

5/8 is bigger

5 0

3 years ago

Find the area of the figure

Anon25 [30]

Answer:

89 sq meters

Step-by-step explanation:

The whole rectangle 13x8 = 104

Now subtract the white triangle

(6x5)/2 = 15

104-15 = 89

8 0

3 years ago

A rectangle on a coordinate plane has vertices Q(-1, 1), R(6,1), S(6,-8), and T(-1,-8). What are the dimensions of the rectangle

xeze [42]

Answer:

The length is 9.

The width is 7.

Step-by-step explanation:

A rectangle has two dimensions.

The width, which is the distance between the points who have the same value of y.

The length, which is the distance between the points who have the same value of x.

Distance between 2 points:

Points (a,b) and (c,d).

$D = \sqrt{(c-a)^{2} + (d-b)^{2}}$

Same value of x:

(-1,1), (-1-8) or (6,1), (6,-8)

The distance for both of them is the same, can calculate for only one.

$L = \sqrt{(6-6)^{2} + (-8 - 1)^{2}} = \sqrt{81} = 9$

The length is 9.

Same value of y:

(-1,1), (6,1) or (6,-8), (-1,-8)

$W = \sqrt{(6 - (-1))^{2} + (1 - 1)^{2}} = \sqrt{49} = 7$

The width is 7.

6 0

4 years ago

Read 2 more answers

Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,00

Vanyuwa [196]

We have to calculate the EAC for both the conveyor belt system.

Solutions :

Equivalent Annual Cost or (EAC) for the SYSTEM-A

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate )

$=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$

$= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$

= $ 49,350

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -49,350 0.909091 -44,863.64

2 -49,350 0.826446 -40,785.12

3 -49,350 0.751315 -37,077.39

4 -49,350 0.683013 -33,706.71

Total $ 3.169865 $ -156,432.86

Therefore, Net Present value = present value of the annual cash flow - initial investment.

= 156,432.86 - 280,000

= $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$

$=\frac{436,432.86}{3.169865}$

$= 137,681.86$ dollar (negative)

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate)

$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$

$=(-78,000 \times 0.77)+(60,000 \times 0.23)$

= -$ 47,030

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -47,030 0.909091 -42,754.55

2 -47,030 0.826446 -38,867.77

3 -47,030 0.751315 -35,334.34

4 -47,030 0.683013 -32,122.12

5 -47,030 0.620921 -29,201.93

6 -47,030 0.564474 -26,547.21

Total $ 4.355261 $ -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

$= 204,827.91 - 360,000$

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B $=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$

$=\frac{-564,827.91}{4.355261}$

= -$129,688.66 (negative)

7 0

3 years ago