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prisoha [69]
3 years ago
12

Shondra found large candles on sale at her favorite store. She has a large family and many friends, so she bought as many of the

candles she could fit in her trunk to give as gifts. Her trunk is 2 feet deep, 4 feet wide, and 3 feet long. If each candle comes in a cube box with 1 foot edges, how many candles will fit in her trunk?
Mathematics
1 answer:
Kisachek [45]3 years ago
5 0
The trunk of the car is shaped like a rectangular prism whose volume is length * width * height.

The volume of the trunk is LWH = 3 ft * 4 ft * 2 ft = 24 ft^3

The volume of a cube is the cube of the side (edge)
.
Each cubic box has volume V = s^3 = (1 ft)^3 = 1 ft^3

Now we divide the volume of the trunk by the volume of each cube box.

\dfrac{24 ft^3}{1 ft^3} = 24

Answer: She can fit 24 boxes in her trunk.
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Kaylee wants to go to Texas A&M where the tuition is $12,000 per year. She has a scholarship that pays for 30% of the tuitio
valentinak56 [21]

Answer:

Monthly deposit= $323.78

Step-by-step explanation:

Giving the following information:

Future Value (FV)= 12,000*0.7= $8,400

Number of periods (n)= 2*12= 24

<u>We weren't provided with the interest rate, suppose an annual interest rate of 8%.</u>

Interest rate= 0.08/12= 0.00067

<u>Now, to calculate the monthly deposit, we need to use the following formula:</u>

<u></u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (8,400*0.0067) / [(1.0067^24) - 1]

A= $323.78

6 0
4 years ago
Which of the following shows the correct evaluation for the exponential expression (6/7) 2?
kari74 [83]

Answer:

B) 6/7x2 = 1 5/7

Step-by-step explanation:

6/7 (2)

= ( 6/7) (2/1)

= (6)(2)/(7)(1)

12/7 or 1 5/7

8 0
3 years ago
Read 2 more answers
Determine the slope of a line that contains the points P(-5,-7) and Q(5,-5)
PilotLPTM [1.2K]

Answer:

1/5

Step-by-step explanation:

-5 - (-7) = 2

5 - (-5) = 10

2/10 ÷2

slope = 1/5

7 0
4 years ago
It takes a boat 2 hours to travel 22 miles downstream and 4 hours to travel 20 miles upstream. What is the speed of the boat in
gavmur [86]
<span>Let  b= speed of boat in still water
Let  c= speed of current
Upstream
Speed is ; b-c
d u=(b-c)* t u

Downstream
speed is ; b+c
d d=(b+c)*t d

given:
d u=18
t u=3
d d=24
t d=2


------------------
(1) 18=(b-c)*3
(2) 24=(b+c)*2
and
(1) 18=3b-3c
(2) 24=2b+c
Multiply both sides of (1) by 2
Multiply both sides of (2) by 3

(1) 
(2) 
Add (1) and (2)


And, from (1),
18=3*9-3c
3c=27-18
3c=9
c=3
The speed of the boat in still water is 9 mi/hr
The speed of the current is 3 mi/hr
check:
(1) 18=(9-3)*3
(2) 24=(9+3)*2
and
(1) 18=16*3
18=18
(2) 24=24
</span>
8 0
3 years ago
The perimeter of a rectangular is 86 m. If the width were doubled and the length were increased by 22 m, the perimeter would be
Zina [86]
Write them as system of equations:
x=length, y=width
2x+2y=86
4x+2y+22=166


when you solve, then x=length=7, y=width=36
3 0
4 years ago
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