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iren [92.7K]
3 years ago
9

Which 3 expressions have the same value?

Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

A. C. D.

Step-by-step explanation:

Original: 10-5(2)+(18-11)=7

A: 28/(4)=7

C: 49-43+(1)=7

D: 30-25+(2)=7

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Sheila purchased ski equipment for $513 using a six-month deferred payment plan. The interest rate after the introductory period
klemol [59]

$65 * 6 = $390 total monthly payments made

The downpayment made is $125, so the total balance at the end is:

balance = $513 – ($125 + $390)

balance = - $2

 

<span>There is an excess of 2 dollars at the end.</span>

4 0
3 years ago
What is the solution of (x-9)^2/3=25 algebraicallt
AnnyKZ [126]

\bf \cfrac{(x-9)^2}{3}=25\implies (x-9)^2=75\implies \sqrt{(x-9)^2}=\sqrt{75}\implies x-9=\pm\sqrt{75} \\\\\\ x=\pm \sqrt{75}+9\implies x\approx \begin{cases} 17.66\\ -0.34 \end{cases}

7 0
3 years ago
uppose we want to build a rectangular storage container with open top whose volume is $$ cubic meters. Assume that the cost of m
Ainat [17]

Answer:

a = length of the base = 2.172 m

b = width of the base = 1.357 m

c = height = 4.072 m

Step-by-step explanation:

Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?

lets call a = length of the base

b = width of the base

c = height

V = a.b.c = 12

Area without the top:

Area = ab + 2bc + 2ac

Cost  = 12ab + 8.2bc + 8.2ac

Cost = 12ab + 16bc + 16ac

height = 3.width

c = 3b

Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab

abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²

Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b

C(b) = 48b² + 240/b

C'(b) = 96b - 240/b²

Minimum cost: C'(b) = 0

96b - 240/b² = 0

(96b³ - 240)/b² = 0

96b³ - 240 = 0

96b³ = 240

b³ = 240/96

b³ = 2.5

b = 1.357m

c = 3b = 3*1.357 = 4.072m

a = 4/b² = 2.172m

6 0
3 years ago
(7)/((12)/(.14))=(50x)/(4.8)
umka2103 [35]

Answer:

x=0.00784

Step-by-step explanation:

5 0
2 years ago
A 14.5-gallon gasoline tank is full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
Elena L [17]

Answer:

it will take 3 5/8 of gas to fill the tank

Step-by-step explanation:

14 1/2 - 10 7/8 can be re-written using improper fractions

29/2 - 87/8 We need a common denominator, which is 8

116/8 - 87/8 = 29/8 = 3 5/8 gal

7 0
2 years ago
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