It is C i believe you plug in the answers to get it
Answer:
Amount spent on each item is;
brush = $3.50
sketchbook = $14.00
paint set = $21.00
Completed question:
Madison brought $42.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/4 as much as the sketchbook, and the sketchbook cost 2/3 the cost of the paint set. Madison had $4.00 left over after buying these items. How much is each item.
Step-by-step explanation:
Let x,y and z represent the price of brush, sketchbook and paint set respectively.
The brush was 1/4 as much as the sketchbook,
x = 1/4 × y
y = 4x ....1
the sketchbook cost 2/3 the cost of the paint set
y = 2/3 × z
3y = 2z
z = 3y/2
Substituting equation 1
z = 3(4x)/2 =6x
z = 6x ....2
Total amount spent = amount he brought - amount he left with(remainder)
= $42.50 - $4.00
= $38.50
Total amount spent = x+y+z = $38.50
x+y+z = 38.50
Substituting equation 1 and 2
x + 4x + 6x = 38.50
11x = 38.50
x = 38.50/11
x = 3.5
y = 4x = 4(3.5) = 14
z = 6x = 6(3.5) = 21
Amount spent on each item is;
brush = $3.50
sketchbook = $14.00
paint set = $21.00
Answer:
b. {x l -9/7 < x <17/7}
Step-by-step explanation:
l 4 - 7xl -5 < 8
Adding 5 on both sides, we get
l4 - 7xl < 13
Absolute function has two values.
{ 4 - 7x < 13 and (4-7x) > -13}
Now let's solve for x.
-7x < 9 and -7x > -17
x > -9/7 and x < 17/7
Now we have to combine the two inequalities and write the solution
{x l -9/7 < x <17/7}
Answer: b. {x l -9/7 < x <17/7}
Hope this will helpful.
Thank you.
Answer:
length = 35ft, width = 20ft
Step-by-step explanation:
We are working with length (L), width (W), and area (A). We are asked to find the 2 dimensions. The question tells us that L = W + 15, so we can express L in terms of W. However, we still don't know what A is. Since we have 2 unknowns, we somehow need to develop 2 equations to get a solvable system.
We can set up the first equation using the relationship between L and W:
We can set up the second equation using the information in the second sentence:
Now we can plug the first equation, already isolated for A, into the second equation and solve for W:
A pretty nasty-looking equation actually becomes pretty easy to solve. We know the length is 15ft greater than the width, so if W=20, L=35.
Answer:
G
Step-by-step explanation:
you have a 1 out of 6 chance of getting 11
