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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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Will give, Branliest.<br><br>Thanks, <br>:)​
diamong [38]

Answer:

X= -9

Y=7

Z=119

X=-70

Y=0.8

z=4.667

Step-by-step explanation:

X=-18-6= -24/3= -9

Y=24+11/5= 35/5= 7

Z=10+7=17*7=119

X=-2-5=-7*10=-70

Y=19-7=12/15=0.8

Z=-2+4=2*7=14/3=4.667

6 0
3 years ago
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If y is directly proportional to x and y = 17.5 when x=21 find y when x=39
morpeh [17]

direct proportion y=kx , k is constant and k does not equal to 0.

17.5=k(21)

k=5/6

when x =39

y=5/6 ×39

y=32.5

4 0
2 years ago
Read 2 more answers
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
How do u simplify 3/30​
sukhopar [10]

\bf \cfrac{3}{30}\implies \cfrac{3\cdot 1}{3\cdot 10}\implies \cfrac{3}{3}\cdot \cfrac{1}{10}\implies 1\cdot \cfrac{1}{10}\implies \cfrac{1}{10}

8 0
3 years ago
A family of 17 are trying to get back to their island for Christmas when disaster strikes – their ship hits a rock and will sink
wlad13 [49]
Answer: 13

Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.

First trip:

5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.

So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.

Second trip:

In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.

When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.

This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 +  5 = 13
8 0
3 years ago
Read 2 more answers
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