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3 years ago

36. 29.Need the work and explanation of why it's that answer ❗️Thanks so much ASAP

Mathematics

1 answer:

Triss [41]3 years ago

3 0

35)

∗ The volume of that wedge is 1/2BHL

∗ The volume of a rectangular prism is LWH

∗ B = 8
∗ H = 5
∗ L = 11

∗ 1/2 • 8 • 5 • 11 = 220

∗ v = 220cm^3

∗ 2 wedges have a volume of 440cm^3

▪
∗ L = 8
∗ W = 12
∗ H = 5

∗ 8 • 12 • 5 = 480

∗ v = 480cm^3

⋆ The answer is c ⋆

∘∘∘∘∘∘∘∘∘∘∘∘∘∘∘∘∘∘
36)

∗ The question says "bikes" which refers to more than 1, and there are 3 people.

∗ It costs $18 a day to rent a bike.

∗ They are renting for 5 days.

∗ Let x represent the number of days.
∗ Let b represent the number of bikes.
∗ Let y represent the total cost.

∗ (b • 18)x = y

∗ (3 • 18)5 = y

∗ 54 • 5 = 270

∗ There are 3 people splitting the cost, so you divide 270 by 3 to get 90.

∗ Each person pays $90

⋆ The answer is D ⋆

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3 years ago

5. Solve using any method.<br> y = -x + 8<br> y=x+4

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Answer:

Step-by-step explanation:

$\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}$

$\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}$

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3 years ago