Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.
Step-by-step explanation: The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.
So any other number could be a possibility.
Answer:
28 miles
Step-by-step explanation:
Since 1 inch represents 14 miles, we can find the actual distance by multiplying 14 by 2:
14(2)
= 28
So, the real cities are 28 miles apart.
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
Answer:
8 inches
Step-by-step explanation:
Nacho cheese
v= Pi×radius×2×height
v = 3.14×8×2×4 = 200.96
jalapeño
3.14×4×2=25.12
200.96÷25.12=8
the height is 8
to check your work you can do
(multiply by 8 and see if it equals 200.96)
3.14×4×2×8 = 200.96
since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
According to exterior angle theorem: It a triangle
Exterior angle = Sum of opposite interior angles
In triangle BED,
The measure of angle B is 54°.
In triangle ABC,
The measure of angle A is 51°.
In triangle AEF,
Using angle sum property,
Therefore the measure of angle AFE is 47°.
