Let X be the number of hours
Brady drives 60 mph for X number of hours, which is written as 60x.
Mary drives 45 mph for x number of hours, which is written as 45x.
The equation to solve for the number of hours is:
60x + 45x = 1365
Simplify:
105x = 1365
Divide both sides by 105:
x = 1365 / 105
x = 13 hours.
Answer:
1- corresponding? 2- alternate interior 3- linear pair 4- alternate exterior 5- vertical 6- alterative exterior?
Step-by-step explanation:
I hope this help sweetie:(
Complete question is;
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, and 12 minnows in her lab. What is P(salamanders).
Answer:
P(salamanders) = 0.25
Step-by-step explanation:
We are given;
number of salamanders = 5
number of crayfish = 3
number of minnows = 12
total number of animals; n = 5 + 3 + 12 = 20 animals
Now, we want to find out the probability that the animal Leslie randomly selected is a Salamander.
Thus,
P(salamander) = number of salamanders/total number of animals
P(salamander) = 5/20
P(salamander) = ¼ = 0.25
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
