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anzhelika [568]
3 years ago
8

Find the measure of each angle.

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

G = 75

H = 60

J = 45

Step-by-step explanation:

5x + 4x + 3x = 12x

180/12 = 3

x = 3

then substitute

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Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5
sashaice [31]

Answer:

(a) Mrs. Johnson’s class sold 26 cookies,  Mr. Smith’s class sold 27 popcorn.

(b) Mrs. Johnson’s class earned \$65.  Mr. Smith’s class earned \$40.5. Hence, Mrs. Johnson’s class earned more.

(c) Mrs. Johnson’s class earned \$24.5 more.

Step-by-step explanation:

Let x be the number of cookies Mrs. Johnson’s class sold and y be the number of popcorn Mr. Smith’s class sold.

(a) If Mrs. Johnson’s class sold x cookies for $2.50 each, then they earn $2.50x. If Mr. Smith’s class sold y popcorn for $1.50 each, then they earn $1.50y. In total, $2.50x+$1.50y=$105.50.

Together, the classes sold 53 items, then x+y=53.

You get the system of two equations:

\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.

Solve it

\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=53-y\\ \\2.5(53-y)+1.5y=105.5\end{array}\right.,

132.5-2.5y+1.5y=105.5,\\ \\132.5-105.5=2.5y-1.5y,\\ \\y=27,\\ \\x=53-27=26.

(b) Mrs. Johnson’s class earned \$2.50\cdot 26=\$65.  Mr. Smith’s class earned \$1.50\cdot 27=\$40.5. Hence, Mrs. Johnson’s class earned more.

(c) Mrs. Johnson’s class earned \$65-\$40.5=\$24.5 more.

8 0
3 years ago
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