Y = 3x. the y axis goes up by an interval of 3.
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:
d^2 +2d-8=0
first pick two numbers which add up to make +2 and by multiplying those two numbers they should be able to create -8.
so for example 4 and 2
4-2=2
4 x -2= -8
so now factorise:
d^2 +2d-8=0
d^2+4d-2d -8=0
d(d+4)-2(d+4)=0
d+4=0 d-2=0
d=-4 d=2
Step-by-step explanation:
Answer:
7.65 or 7.7 rounded to 1 DP
Step-by-step explanation:
To find the length of the side of a cube we do the inverse of finding the volume.
one side= x
If x³ = volume, therefore ∛448 is how to find the length of one side.
∛448= 7.65
I hope this helps you.
Answer:
The sample size required is 910.
Step-by-step explanation:
The confidence interval for population proportion is:
The margin of error is:
Given:
The critical value of <em>z</em> for 90% confidence level is:
*Use a standard normal table.
Compute the sample size required as follows:
Thus, the sample size required is 910.
