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2 years ago

5

IM PUTTING THIS FOR 30 POINTS PLEASE ANSWER

1 answer:

salantis [7]2 years ago

6 0

Answer:

2(Jill) - 20 + (Jill) = 205

3(Jill) = 225

(Jill) = 75

(Jack) = 2(75) - 20 => 150 - 20 = 130

Jill= 75

Jack= 130

Step-by-step explanation:

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A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4

zysi [14]

Answer:

Side of square bottom=6.46 m

Height of box=4.31 m

Step-by-step explanation:

Let s be the side bottom

Height of box=h

Volume of box= $180m^3$

Volume of box= $lbh=s^2h$

$s^2h=180$

$h=\frac{180}{s^2}$

Cost of bottom=$40 per square m

Cost of sides =$30 per square m

Total cost= $C=40s^2+30(4sh)$

$C=40s^2+120s\times \frac{180}{s^2}$

$C(s)=40s^2+\frac{21600}{s}$

Differentiate w.r.t s

$C'(s)=80s-\frac{21600}{s^2}$

$C'(s)=0$

$80s-\frac{21600}{s^2}=0$

$80s=\frac{21600}{s^2}$

$s^3=\frac{21600}{80}=270$

$s=(270)^{\frac{1}{3}}=6.46$

Again,differentiate w.r.t s

$C''(s)=80+\frac{43200}{s^3}$

Substitute s=6.46

$C''(6.46)=80+\frac{43200}{(6.46)^3}=240.2>0$

Hence, the cost is minimum at s=6.46

$h=\frac{180}{s^2}=\frac{180}{(6.46)^2}=4.31$

Side of square bottom=6.46 m

Height of box=4.31 m

5 0

2 years ago

Black_prince [1.1K]

The answers are
M1 = 112°
M2 = 26°

6 0

2 years ago

After evaluating Olya’s monthly budget, which of the following would not be an option to help reduce her debt?

frosja888 [35]

The answer is B.<span>Olya could skip a month or two paying for her school loan and put the money towards her credit card debt. just took the test..</span>

6 0

3 years ago

Read 2 more answers

The sum of Kyra's and Caleb's ages is 37. Caleb's age is equal to twice the quantity of Kyra's age decreased by 4. Let k represe

frosja888 [35]

Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Answer: k=41/3

7 0

2 years ago

Of the $2400 Mr Calvin earned, he spent 3/8 on food, 1/3 on taxes and 1/6 on other expenses. Find out how much all this is in do

sattari [20]

Answer: $300

Step-by-step explanation:

Mr. Calvin earned $\$2400$

He spent $\frac{3}{8}$ on food i.e.

$\Rightarrow \dfrac{3}{8}\times 2400=\$900$

$\dfrac{1}{3}\quad \text{on taxes i.e.}\\\\\Rightarrow \dfrac{1}{3}\times 2400=\$800$

$\dfrac{1}{6}\ \text{on other expenses i.e.}\\\\\Rightarrow \dfrac{1}{6}\times 2400=\$400$

Remaining money = $2400-900-800-400=\$300$

So, he saved $300 after expenses

7 0

2 years ago