Given:
Total savings = $400
Ratio of savings of Blake and Josh = 3:1
To find:
The saving of each.
Solution:
Let the savings of Blake and Josh are 3x and x respectively.
According to the question,
Divide both sides by 4.
Now,
Savings of Blake = 3(100)=300
Savings of Josh =100
Therefore, the savings of Blake and Josh are $300 and $100 respectively.
<h3>
Answer: 60 grams</h3>
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Explanation:
m = mass
v = volume
d = density
The formula we use is
d = m/v
Multiplying both sides by v allows us to solve for m
d = m/v
d*v = m
m = d*v
Now plug in the given density (d = 4) and the given volume (v = 15) and simplify:
m = d*v
m = 4*15
m = 60 grams
Note how,
d = m/v
d = 60/15
d = 4
which helps confirm our answer
Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
Given:
total = 750
ratio = 7 : 8
We need to get the ratio of the number to its total
7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.
We multiply these ratio to the total of 750
7/15 * 750 = 350
8/15 * 750 = 400
7:8 is equal to 350:400
Answer: Answer choice D
Step-by-step explanation: The linear function is y = -5/3 + 5, which means that the slope is 5/3. The fact that the slope is ascending to the left also eliminates the first two choices.
