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
Solution along with work is included in attachment.
Answer:
a = 6
Step-by-step explanation:
use distribution method:
-3(4-a) = 6
-12+3a = 6
3a = 6+12
3a = 18
a = 18/3 = 6
Answer:
a =64 °and b = 52°
Step-by-step explanation:
as 360° is the sum of all the internal angles.
As we have 4 a's and 2 b's.(see attachment for the figure).
We write the equation:
4 a + 2b = 360 ---> eq(1)
We are given that the largest angle of the parallelogram is 116º.
So a + b = 116
a= 116-b ---> eq(2)
substituting the above value in eq(1)
(1) => 4( 116-b) + 2b = 360
464 - 4b + 2b = 360
-2b = 360- 464
-2b = -104
b=52
plugging the value of b in eq (2)
(2)=>
a= 116- 52
a= 64
Thus, the values of a is 64 °and b is 52°
59, 51, 53
The formula you would use is
x+(x+2)+(x+4)
If you need help understanding, feel free to comment..
