4) x=4 -> divide by 2
5) y=9 -> add 2
6) z=2 -> multiply 2 times 1
7) a=10 -> add 7 then divide by 3
8) b=3 -> distributive property, add 1 to other side, and then divide by 8
9) c= -d +4 -> subtract +d+1 and put on other side to solve
10) m= 10/p+2 -> distrubutive property, subtract 2m on both sides to solve
Answer:
- 15t + 5c = b
- $275
Step-by-step explanation:
Let "t' be the number of t-shirts bought.
Let "c" be the number of CDs bought.
Let b" be the total cost.
15t + 5c = b
We buy 10 t-shirts so t = 10.
We buy 25 CDs so c = 25.
We are trying to find b.
15t + 5c = b
15(10) + 5(25) = b
150 + 125 = b
275 = b
Best of Luck!
Answer:
x = 6
Step-by-step explanation:
5x - 7 and 23 are vertical angles and are congruent , then
5x - 7 = 23 ( add 7 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Answers:
- side AT = 36.122997 (approximate)
- side TR = 14.692547 (approximate)
- angle T = 66 degrees
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Explanation:
We'll use the cosine ratio to find side AT
cos(angle) = adjacent/hypotenuse
cos(A) = AR/AT
cos(24) = 33/AT
AT*cos(24) = 33
AT = 33/cos(24)
AT = 36.1229971906996
AT = 36.122997 approximately
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We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.
a^2 + b^2 = c^2
(AR)^2 + (TR)^2 = (AT)^2
33^2 + (TR)^2 = (36.1229971906996)^2
1089 + (TR)^2 = 1304.8709260393
(TR)^2 = 1304.8709260393 - 1089
(TR)^2 = 215.8709260393
TR = sqrt(215.8709260393)
TR = 14.6925466151821
TR = 14.692547 also approximate
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We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.
However, it's easiest to take advantage of the fact that angles A and T are complementary.
So,
A+T = 90
T = 90-A
T = 90-24
T = 66 degrees
This value is exact.
