the answer would be 42.9 because the final answer (not rounded) would be 42.8888 however if you round the 8 you get 42.9
Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
= 
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← <em>divide by 20 on both sides</em>
<em> 45 = n</em>
Therefore, 9/20 is equal to 45 over 100 or 45%.
<u>___________________________________________________</u>
Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.
Answer:
1/80 of the agency's employees have PhDs.
Step-by-step explanation:
Given that:
Total number of employees = 4000
Number of employees with bachelors degree = 1000
Fraction of employees with graduate degree = 1/4 of 1000 = 250
1/5 of the employees with graduate degrees have PhD.
Number of employees with PhDs = 1/5 of 250 = 50
Now,
Fraction of PhD employees to total employees = 
Hence,
1/80 of the agency's employees have PhDs.
Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
Answer: Jason has 7 pennies and 6 nickels.
Step-by-step explanation:
Let be "p" the number of pennies that Jason has and "n" the number of nickels that Jason has.
Set up a system of equations:
You can use the Elimination Method. Multiply the first equation by -0.01 and add both equations:

Susbtitute this value into the first equation and solve for "p":
