Answer:
Step-by-step explanation:
Divide each term by - 1/4 first
- -1/2x ÷ (- 1/4) = 1/2x × 4 = 2x
- -5/4y ÷ (- 1/4) = 5/4y × 4 = 5y
Now facor out - 1/4
- - 1/2x - 5/4y =
- - 1/4 (2x + 5y)
Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
Answer:
m∠K = 97°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360
127 + 5x + 3 + 10x + 7 + 88 = 360
15x + 225 = 360
15x = 135
x = 9
m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°
Answer:
Solution given:
Increase percentage=%
=4%
<u>the percentage </u><u>increase</u><u> </u><u>is</u><u> </u><u>4</u><u>%</u><u>.</u>
This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5
The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²