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2 years ago

Determine the volume of the tent?

Mathematics

1 answer:

katovenus [111]2 years ago

5 0

Answer:

6(base) x 3.5(Height) = 21, 21 divided by 2 (x 1/2) = 10.5

10.5(area of triangle) x 7.75(width) = 81.375

Formula of an area of a triangle:

BH x 1/2

Base x Height x 1/2(basically just dividing by 2)

Now the base:

1.5 x 7.75 x 6 = 69.75

Now let's add the two given volumes:

81.375+ 69.75 = 151.125 ft^3 is your answer.

You might be interested in

A profit formula for dining plates from the previous year was modeled by the function P(d) = –15d2 + 1,200d – 2,000. The manufac

dem82 [27]

Answer:

$P(d)=-33.75d^2+1800d-2000$

Step-by-step explanation:

The profit function is:

$P(d) = -15d^2+1,200d-2,000$

Where

P is the profit

and

d is the number of units sold

Now, there is a 50% increase in number of units sold, so d will become:

50% = 50/100 = 0.5

d + 0.5d = 1.5d

So, we have to replace "d" with "1.5d" in the function, which makes it:

$P(d) = -15d^2+1,200d-2,000\\P(d) = -15(1.5d)^2+1,200(1.5d)-2,000\\P(d)=-15(33.75)d^2+1800d-2000\\P(d)=-33.75d^2+1800d-2000$

From the equations shown, last answer choice is correct.

$P(d)=-33.75d^2+1800d-2000$

7 0

3 years ago

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2.

Troyanec [42]

Answer:

D. (4, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = 1/2x + 3

Step 2: Solve for x

Substitute in y: x + 1 = 1/2x + 3
Subtract 1/2x on both sides: 1/2x + 1 = 3
Subtract 1 on both sides: 1/2x = 2
Divide both sides by 1/2: x = 4

Step 3: Solve for y

Define original equation: y = x + 1
Substitute in x: y = 4 + 1
Add: y = 5

Step 4: Graph

We can confirm our answer.

8 0

2 years ago

The bottom two questions that correspond to the word problem... I don't get it

lisov135 [29]

So basically, the first question after the word problem is asking you to write an equation to represent the value of Mama's car after a certain amount of years (t). Since the value of her car decreases by 3% each year, you could multiply 3% by the original value of her car, to find what 3% is, OR you could subtract 19,400 (the value of her car after 1 year) from 20,000 INSTEAD of multiplying 20,000 by 3%.

Equation: value=20,000 - 600t

To answer the next question, just plug it into the equation you created.

500<20,000 - 600t

-19500< -600t

32.5>t
Final Answer: It would take at least 32 and 1/2 years for the value of Mama's car to be less than $500.

Hope this helps!! :)

3 0

2 years ago

The sum of two-thirds of a number and twenty

Ede4ka [16]

Answer:

2/3n + 20

Step-by-step explanation:

4 0

2 years ago

In a survey, 250 out of 1000 people said that they preferred a particular brand of shampoo. What is the result of the survey in

ipn [44]

25% said that they preferred a particular brand of shampoo, the rest is 75 %