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3 years ago

4. The sum of three consecutive odd integers is 36.

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Let the three consecutive numbers be :

x, x+1, x+2=36

3x+3=36

x=11

11,12, 13

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1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refri

Vinvika [58]

Answer:

The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

Step-by-step explanation:

Let

Cost per refrigerator (marginal cost) = r

Fixed costs per day for the factory = f

Total cost = variable cost + fixed cost

Monday

25,000 = 30r + f

Tuesday

30,000 = 40r + f

Using Monday,

f = 25000 -30r

Substitute f = 25000 - 30r into Tuesday

30,000 = 40r + f

30,000 = 40r + (25,000 -30r)

30,000 = 40r + 25,000 - 30r

Collect like terms

30,000 - 25,000 = 40r - 30r

5,000 = 10r

Divide both sides by 10

r = 5,000 / 10

= 500

r = $500

Substitute r= 500 into Monday equation

f = 25,000 -30r

= 25,000 - 30(500)

= 25,000 - 15,000

= 10,000

f = $10,000

Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

7 0

3 years ago

What is the square root of 450

RUDIKE [14]

Answer:

$15\sqrt{2}$ or 21.2132

Step-by-step explanation:

$\sqrt{450}$

$\sqrt{15^{2} }$ <em> </em>(root of a product is equal to the product of the roots of each factor)

$\sqrt{15^{2} } \sqrt{2}$ (simplify)

$15\sqrt{2}$ or ≈ 21.2132

4 0

4 years ago

Read 2 more answers

Which of the following integrals represents the area of the region bounded by x = 0, x = 1 and the functions f(x) = -2x4 and g(x

leva [86]

Answer:

C. $\int\limits^0_1 {-2x^4-x^2} \, dx$ is correct

Step-by-step explanation:

We are given that,

The region bounded by $x= 0, x=1, f(x)= -2x^4, g(x)=x^2$ is given in the figure below.

Now, as we have,

Area of the bounded region = $\int\limits^a_b {f(x)-g(x)} \, dx$ ,

where f(x) represents the upper curve and f(x) represents the lower curve in the bounded region.

So, as we see that,

The upper curve in the given region is $f(x)= -2x^4$ and the lower curve is $g(x)=x^2$ .

Thus, the integral showing the area of the given region is,

$\int\limits^0_1 {-2x^4-x^2} \, dx$

Hence, option C is correct.

6 0

3 years ago

How do I set this up?

eimsori [14]

So find out Y first with the equation 2y+6=8y-102 which is y=18

Then plug in y for 8y-102 which is 42

Finally make the equation 3x+42=180 to find x which is 46

8 0

4 years ago

Are the lines 2y + 4x = 8 and y-2 = 2(x+4) parallel, perpendicular, or neither?

neonofarm [45]

Answer:

The line are perpendicular

Step-by-step explanation:

8 0

3 years ago