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Aleks04 [339]
3 years ago
14

A group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3:8

Mathematics
1 answer:
Anna [14]3 years ago
5 0
3x-\ those\ who\ chose\ baseball\\8x-\ those\ who\ chose\ soccer\\\\
a)\\3x+8x=132\\\\
11x=132\ \ \ | divide\ by\ 11\\\\x=12\\\\
8x=8*12=96\\\\
96\ chose\ soccer.\\\\\
b)\\8x=56\ \ \ | divide\ by\ 8\\\\x=7\\\\
3x=3*7=21\\\\
21\ chose\ baseball.
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a clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.
KonstantinChe [14]

Given :

A clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.

To Find :

How much does the clerk get if he works overtime for 5 hours and 2 hours on holidays.

Solution :

Amount from regular job = $ 45.25 × 40 = $1810 .

Amount from overtime = $ (45.25×1.5) × 5 = $339.375 .

Amount from holiday = $ (45.25×2) × 5 = $452.5 .

Total amount clerk will get is :

T = $( 1810 + 339.375 + 452.5 )

T = $2601.875

Hence, this is the required solution.

7 0
3 years ago
Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units. What is AF? 11 units 15 units 43 units 51
jek_recluse [69]

see the attached figure to better understand the problem

we know that

The point G is where all medians intersect and is often described as the triangle's center of gravity or centroid. It is formed by the intersection of the medians. The centroid divides each median in a ratio of \frac{2}{1}

so

\frac{AG}{GF}   =\frac{2}{1}  \\\\ \frac{5x+4}{3x-1}=\frac{2}{1}\\ \\ (3x-1)*2=5x+4\\ \\  6x-2=5x+4 \\\\ 6x-5x= 4+2\\\\ x=6\ units

<u>Find the value of FA</u>

FA=(5x+4)+(3x-1)\\ \\FA=8x+3\\ \\FA=8*6+3\\ \\FA=51 units

therefore

<u>the answer is </u>

51 units



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