A Website sells MP3 downloads of music for $10 and Blu-ray discs of movies for $30. Fiona wants to buy some albums and some movies. She plans to spend a total of $150. Write and graph an equation to represent the situation.How do i work this out?
Answers
Answer:
Let x be the number of albums to be bought and
let y be the number of movies to be bought.
The amount to be spent on albums is 10x and
The amount to be spent on movies is 30y.
As per the given condition: The total amout to be spent must equal $ 150.
then, we have
......[1]
Now, find x-intercepts and y-intercepts of equation [1];
x-intercepts defined as the graph crosses the x-axis.
Substitute y= 0 in [1] to solve for x;
10x =150
Divide both sides by 10 we get;
Simplify:
x = 15
y-intercepts defined as the graph crosses the y-axis.
Substitute value of x=0 in [1] to solve for y;
10(0)+30y = 150
30y =150
Divide both sides by 30 we get;
y =5
Now, plot these points (0, 5) and (15, 0) on graph and connect them with a line as shown in the figure below;
Answer:
x + 3y = 15
The graph is attached below.
Step-by-step explanation:
Given the price of album = $10.
and the price of movies = $30.
Let's assume she buys "X" albums and "Y" movies.
Cost would be (10X + 30Y).
She plans to spend a total of $150, so cost would be same as total expenditure.
10X + 30Y = 150
X + 3Y = 15
we can graph this equation of line on a graph paper as given below:-
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Answers
Answers
Answer:
A) For the poster: length = 9 inches and width = 3 inches
B) For the banner: length = 10 inches and width = 2 inches
Step-by-step explanation:
A) The perimeter was given as 24 inches, so that;
P = 2 (l+w)
But, l = 3w, where w is the width. So that;
P = 2 (3w + w)
24 = 2 (4w)
24 = 8w
⇒ w = 3 inches
But, l = 3w = 3 × 3 = 9 inches
Therefore for the poster, length is 9 inches and width is 3 inches.
B) With the same value of perimeter, 24 inches:
p = 2 (l+w)
But, l = 5w, where w is the width. So that:
p = 2( 5w + w)
24 = 2 (6w)
24 = 12w
⇒ w = 2 inches
But, l = 5w = 5 × 2 = 10 inches
Therefore, for the banner, length is 10 inches and width is 2 inches.
"A poster is 3 times as long as it is wide"
This means that the length is three times larger than the width of the poster (which is in the shape of a rectangle).
"A banner is 5 times as long as it is wide"
This is exactly the same as the one for the poster, except the length of the banner is FIVE times larger than the width, instead of three.
"Both the banner and the poster have perimeter of 24 inches"
Both the banner and poster are rectangles. The formula for perimeter for rectangles is P = 2L + 2W (L = length, W = width).Perimeter of the Poster = 2L + 2WPerimeter of the Banner = 2L + 2WFor the poster, it was mentioned that the length is 3x larger than the width, so that must mean L = 3 * W = 3W. So therefore:Perimeter of the Poster = 2(3W) + 2W = 6W + 2W = 8W.For the banner, it was mentioned that the length is 5x larger than the width, so that must mean L = 5 * W = 5W. So therefore:Perimeter of the Banner = 2(5W) + 2W = 10W + 2W = 12W.So we found our perimeters, which are 8W for the poster and 12W for the banner. But the question also states that BOTH perimeters are 24 inches. So we must set 8W equal to 24 and 12W equal to 24.8W = 24W = 3 inches (For the poster)12W = 24W = 2 inches (For the banner)So we found our widths of both the poster AND the banner. Now we just need to find the lengths. But remember how I stated earlier that the length for the poster is 3W (L = 3W)? And for the banner, it's L = 5W? We can use that to find the lengths since we already know values for the widths.For the poster:L = 3W = 3(3) = 9 inchesFor the banner:L = 5W = 5(2) = 10 inchesSo the poster has a length of 9 inches and width of 3 inches, and the banner has a length of 10 inches and a width of 2 inches
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Answers
Hey!
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Steps To Solve:
- Find number of kids who got an F.
67% = 0.67
108 x 0.67 = 72.36
- Find the number of kids who got an A.
100 - 67 = 33% of student's passed.
33% = 0.33
108 x 0.33 = 35.64
- We can round.
72.36 = 72 students got an F.
35.64 = 36 students got an A.
- Check.
72 + 36 = 108
So our rounding is pretty accurate!
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Answer:
33% or 36 student's got an A in Mrs. Krutchik's class.
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Hope This Helped! Good Luck!
Answer:36 rounded but excaly 35.60
Step-by-step explanation:
isaiah6665
it 36 108-67%=35.64 67%=72.36 rounded to whole number is 36 35.64+72.36
isaiah6665
=108