T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
Answer:
a. 6Pack of paint brushes for $12.99
b. 5 classes for $64.99
c. 12 pack of paper plates
Step-by-step explanation:
a.
I could buy a 6 pack of paint brushes for $ 12.99
or
buy 6 individual brushes for the price of $ 2.19 each.
6 x $2.19 = $13.14
first option is cheaper
b.
10 classes for s total of $150
$150 ÷ 10 = $15 (price per class)
5 classes for $64.99
$64.99 ÷ 5 = $12.998 (price per class)
c.
12 pack of paper plates for $2.29
25 pack for $4.99
$2.29 ÷ 12 = $0.1908 (price of one plate)
$4.99 ÷ 25 = $0.1996 (price for one plate)
Answer: C
Step-by-step explanation:
is in the third quadrant, so both x and y are negative.
Therefore, the only possible answer is C.
Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°
