The dimension of the box is 50in by 10in by 15in
<h3>How to calculate the volume of a figure</h3>
The volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
- l is the length
- w is the width
- h is the height
Given the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
<u>Factorize to determine the width</u>
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
<u>Get the height</u>
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
Learn more on volume of box here: brainly.com/question/14957364
Answer:
Step-by-step explanation:
4 quarts=1 gallon
1 quart=1/4 gallon
6 quarts 1/4×6=6/4 gallons=3/2 gallons =1 1/2 gallons
or we can say 4 quarts=1 gallon
2 quarts=1/2 gallon
(4+2=6)quarts=(1+1/2)=1 1/2 gallon.
Okay for problem 1 heres my explanation
So if you can get 4 bags for 5 cents so I multiplied 5 by 5 to get 25 cents and multiplied 4 by 5 and got 20 for 25 cents but the machine sells you 9 for 25 cents so if you get the m&ms from Jeanie you'll get more for your money if you get it from jeanie
Now problem 2
Now if tom sells 10 cards for 35 cents so theres a 5 cent difference for 2 more cards now 3 cents will be the most likley for the price for one of toms cards and toms price should have been 33 cents so your only being robbed of 2 cents not a big amount but we'll still look at the other guy 12 cards for 40 cents now if we look at how much toms cards will be if you bought 12 is only 39 cents 1 cent less than the other guy so in conclusion if you buy from Tom you get the better buy
Now problem 3
simple mutipily 19x4 and 76 cents the guys at the firework stands charge 85 for four so if you go to the hardware store and buy your fireworks there you get a better deal.
okay so im running out of time so someone else is gonna answer the last problem... sorry m8
There are 4 quadrants in a coordinate plane
- The starting point is in the second quadrant, while the finishing point is in the fourth quadrant.
- The starting point is a reflection of the checkpoint across the y-axis
<u>Part A</u>
The points are given as:


For the starting point, the x-coordinate is negative, while the y-coordinate is positive.
This implies that the starting point is in the second quadrant
For the finishing point, the x-coordinate is positive, while the y-coordinate is negative.
This implies that the finishing point is in the fourth quadrant
<u>Part B</u>
The checking point is given as:

The starting point is given as:

Notice that the y-coordinate of both points are the same, but the x-coordinates are negated.
This means that the starting point is a reflection of the checkpoint across the y-axis, and vice versa
Read more about quadrants at:
brainly.com/question/14061041
First find slope
5-10/-1-0= 5
find y-intercept
10=5(0)+B
b=-10
equation: y=5x-10