Answer:
x = -7
, y = 5 thus D)
Step-by-step explanation:
Solve the following system:
{4 x - 4 y = -48 | (equation 1)
5 x - 6 y = -65 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 6 y = -65 | (equation 1)
4 x - 4 y = -48 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x - 6 y = -65 | (equation 1)
0 x+(4 y)/5 = 4 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 6 y = -65 | (equation 1)
0 x+y = 5 | (equation 2)
Add 6 × (equation 2) to equation 1:
{5 x+0 y = -35 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -7
, y = 5
Zoe to Hannah is 3 to 7.
We want to know x.
24 to x
three goes into 24 eight times so multiply 7 by eight
x=56
Answer:
70
Step-by-step explanation:
█ Solution <span>█
</span><span>✦ Since Olivia has already saved 8 dollars, the inequality would be addition.
</span><span>✦ The only two choices for that would be choice #1 or #2
</span>✦ Since she's earning 7 dollars per hour, the answer would be the first choice.
✦ 8 + 7n ≥ 36, so n ≥ 4
Answer: Choice 1
<span>Hope that helps! ★ <span>If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia </span></span>
Answer:
64√3 ft²
Step-by-step explanation:
The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.
The long leg (represented by the dashed line) is (8 ft)(sin 60°), or
(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.
The area of this horizontal trapezoid is:
(sum of horizontal sides)
A = ------------------------------------- * (width)
2
Here, the area is:
(18 ft + (18 ft - 4 ft)
= ------------------------------------- * (4√3)
2
32 ft
= ----------- * 4√3 = 64√3 ft²
2