Lets say she has x money
Now she spent 3/5of x means 2/5 is left
2/5*x=45
x=112.5
The team ran 2 miles.
Step-by-step explanation:
Step 1; The track is
miles long and the team ran 2
laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.
Distance run = Number of laps × Distance on each lap.
Step 2; We convert 2
from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2
= ((2 × 3) + 2) / 3 =
.
Distance run = Number of laps × Distance on each lap =
×
=
= 2 miles.
Let julia's age be x
Let Kara's age be 4x
x+4x=13
5x=13
x=13/5
2.6 years
Answer:
C. 
Step-by-step explanation:
To find slope using coordinates, use the formula above.

Now, using the
formula, plug in
as
(slope) and either coordinate as the
and
values. It looks like this:

To solve for
, continue to use PEMDAS.

Now use
and
to solve for your equation:

The answer is C.
<h2>
Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis :
[ it takes equality (=, ≤, ≥) ]
Alternative hypothesis :
[its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic : 

Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.