Answer:
"statement 1: The number of boys at the school is
of the number of girls." is true.
Step-by-step explanation:
Given:
Ratio of Number of boys to the number of girls = 4 : 5
Total number of students = 270
To find:
Number of boys in terms of number of girls = ?
Solution:
As per given statement,
Let, Number of boys = 
Let, Number of girls = 
Total number of students = Number of boys + Number of girls = 270

Therefore, number of boys = 4
30 = 120
And, number of girls = 5
30 = 150
As per Statement 1:
Finding
of the number of girls:
= Number of boys.
Finding
of the total number of students:
= Number of boys.
Number of boys is equal to
of total number of students.
So, "statement 1: The number of boys at the school is
of the number of girls." is true.
Let s be Seth's age. let r be Romans age. 5 years ago Seth was s-5 and Roman was three times as old, or 3(s-5), or 3s-15=r-5
in ten years Seth will be s+10 and Roman will be twice as old, or 2(s+10), or 2s+20=r+10
3s-15 =r-5
r=3s-10
2s+20=r+10
r=2s+10
3s-10=2s+10
s=20
Seth is 20 years old
setting the two equations equal gives us
3(s-5)=2(s+10)
3s-15=2s+20
s=35
Positive slope is my best guess for the informations givin
The answer is the 24th customer
You need to find the LCM of 6 and 8.
If you prime factorize both you get…
6=(2)(3)
8=2^3
So 2^3, which is 8 times 3 is 24.
The answer is the 24th customer.
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90