Answer: 55% of the students passed the math test
Step-by-step explanation: The fraction
represents the number of students who passed the math test out of all the students that took the test.
To find out what percent of the students that took the math test passed, we can turn the fraction
into a percent.
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write
as a percent, we need to find a fraction that is equivalent to
with 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.
4,400 = 80n
÷80 ÷80
55 = n
Therefore, 55% of the students that took the math test passed it. This should make sense because 40/80 would be half and 44 students is only a little over 50%.
Cost of 12 notebooks = $9
Ratio of number of notebooks to its price
= 12:9
= 4:3 <em>(because we reduced it to the simplest form by dividing both numerator and denominator by 3)</em>
Let the cost of 8 notebooks be x.
Then, 8:x = 4:3
=> 8/x = 4/3
=> (8×3)/4 = x
=> 24/4 = x
=> 6 = x
So, the cost of 8 notebooks is $6.
Answer:
$11.47
Step-by-step explanation:
In order to calculate Mrs.Jackson's total we first need to turn the fractions into decimals by simply dividing the numerator by the denominators like so...
2/3 = 0.66
1 1/4 = 1.25
1/2 = 0.50
Now we need to multiply each products cost by the amount they bought in decimal form, then finally add them all together...
($0.51 * 0.66) + ($2 * 1.25) + ($4.50 * 0.50) + ($3.19 * 2) = x
0.34 + 2.5 + 2.25 + 6.38 = x
$11.47 = x
Finally, we can see that Mrs. Jackson's total was $11.47
Answer:
The measure of angle BED is 78°
Step-by-step explanation:
Hopefully you can see what I did there.
Answer:
x=9.79
Step-by-step explanation:
firstly find the hypotenuse of the first triangle
sin45=12/h
sin45h/sin45=12/sin 45
h=16.9
after finding the hypotenuse you can then use it to find x by using tan
tan60=16.9/x
tan60x/tan60=16.9/tan60
x=9.79
I hope this helps!!