Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0
Company a = 22 + 0.07m
company b = 8 + 0.12m
We are looking for the time when the prices are equal. i.e. the price of company a = the price of company b
company a = company b
22 + 0.07m = 8 + 0.12m
22 - 8 = 0.12m - 0.07m
14 = 0.05m
m = 14/0.05
m = 280
Therefore, the two companies will cost the same if you talk for 280 minutes
Answer:
D
Step-by-step explanation:
Firstly,
≤ or ≥ means closed circle, and
< or > means open circle
Now, let's solve the compound inequality:
x - 1 ≤ 7
x ≤ 8
and
2x ≥ 22
x ≥ 11
This solution means "everything left of 8 (inclusive and closed circle)" and "everything right of 11 (inclusive and closed circle)"
Looking at the choices, D is right.
0.7+0.75=1.45 (this total is for both steaks)
8.68÷1.45=0.60 (the total he paid for both steaks divide by the total weight of the steaks.)
so, the answer is 60cents per lb. on the steaks.
Answer:
9 × 5
5 × 9
3 × 15
15 × 3
1 × 45
45 × 1
Step-by-step explanation:
45 corn husk dolls can be arranged in equal groups
Number of husk by number of group
9 × 5
5 × 9
3 × 15
15 × 3
1 × 45
45 × 1
Facts family that shows how Jen could arrange her corn husk dolls is shown above