Answer:
Hi there!
Your answer is:
Y= 0
X= 9
Step-by-step explanation:
3x=27+3y
3x-10y=27
Solve one of them for Y
I chose the first equation
3x=27+3y
-27
3x-27=3y
/3
x-9 = y
NOW, plug y in the second equation!
3x-10y=27
y= x-9
3x-10y=27
3x-10(x-9) = 27
Solve for x!
3x-10x+90 = 27
-7x + 90 =27
-90
-7x = -63
/-7
x= 9
FINALLY, plug back in x for y equation
y=x-9
x=9
y=9-9
y=0
Answer:
40 cars
Step-by-step explanation:
The total percentage of Ariana's car collection should be = 100%
35% of the collection = 14
1 percent = 14/35
1 percent is therefore 0.4
To get the total number of cars in Ariana's collection, we multiply 100 by 0.4
= 100 x 0.4 = 40
Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.
Another way to solve this is by cross multiplication
35% = 14
100% = ?
When we cross multiply we have:
(100x14)/35
= 1400/35
= 40
Thank you!
<u>1 + 4x = -5 + 7x</u>
1st step: you need to move 4x to the right and -5 to the left so that all the x's are in one place. 4x will be negative and -5 will be positive when you move them. So it will be:
1+5=7x-4x
2nd step:
3x=6
3rd step: you need to divide both sides into 3, because it is the common divisor.
x=2
<h2>
To sum up:</h2>
<em>1 + 4x = -5+7x</em>
<em>7x - 4x = 1 + 5</em>
<em>3x = 6</em>
<h2>
<em>x = 2</em></h2>
You can try to memorize the summary. However, it is better to understand the solution as a whole.
The answer is 27 (54 divided by 2 equals 27; 27 is equal to 27 and adds up to 54 when combined with another 27)
Answer:
A. 3.5
Step-by-step explanation:
Given that AB is parallel to A'B', therefore,
CB/CB' = CA/CA'
CB' = 7
CB = CB' + BB' = 7 + BB'
CA' = 6
CA = CA' + AA' = 6 + 3 = 9
Plug in the values
(7 + BB')/7 = 9/6
(7 + BB')/7 = 3/2
Cross multiply
2(7 + BB') = 7(3)
14 + 2BB' = 21
Subtract 14 from both sides
2BB' = 21 - 14
2BB' = 7
Divide both sides by 2
BB' = 7/2
BB' = 3.5