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3 years ago

What fraction of the students in the class named baseball their favorite sport

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

now, let's take a peek at the denominators, we have 3 and 8 and 12, we can get an LCD of 24 from that.

Let's multiply both sides by the LCD of 24, to do away with the denominators.

so, let's recall that a whole is "1", namely 500/500 = 1 = whole, or 5/5 = 1 = whole or 24/24 = 1 = whole. So the whole class will yield a fraction of 1/1 or just 1.

$\bf ~\hspace{7em}\stackrel{\textit{basketball}}{\cfrac{1}{3}}+\stackrel{\textit{soccer}}{\cfrac{1}{8}}+\stackrel{\textit{football}}{\cfrac{5}{12}}+\stackrel{\textit{baseball}}{x}~=~\stackrel{\textit{whole}}{1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{24}}{24\left(\cfrac{1}{3}+\cfrac{1}{8}+\cfrac{5}{12}+x \right)=24(1)}\implies (8)1+(3)1+(2)5+(24)x=24 \\\\\\ 8+3+10+24x=24\implies 21+24x=24\implies 24x=3 \\\\\\ x=\cfrac{3}{24}\implies x=\cfrac{1}{8}$

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There are 10 boys trying out for the track team. Truman and Ryan are the two fastest runners. If the coach randomly picks two bo

vichka [17]

10 kids total

picking Truman would be 1 out of 10 or 1/10

then there would be 9 kids left so picking Ryan would be 1 out of 9 or 1/9

the probability of picking both would be 1/10 * 1/9 = 1/90

5 0

3 years ago

A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 9 pounds of jelly beans, the total cost is

Vlad [161]

Answer:

The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

Step-by-step explanation:

Let each pound of trail mix cost $x$ dollars and each pound of jelly beans cost $y$ dollars.

Given:

7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.

So, $7x+9y=37$ --------------- 1

Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.

So, $5x +3y=17$ --------------- 2

Multiplying equation 2 by -3, we get

$(5x +3y=17)\times -3\\-15x-9y=-51-------- 3$

Now, adding equations 1 and 3, we get

$7x+9y-15x-9y=37-51\\7x-15x=-14\\-8x=-14\\x=\frac{-14}{-8}=\$1.75$

Now, plug in $x=1.75$ in equation 1 and solve for $y$ .

$7(1.75)+9y=37\\12.25+9y=37\\9y=37-12.25\\9y=24.75\\y=\frac{24.75}{9}\\ y=\$2.75$

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

7 0

3 years ago

What is 24 2/3 divided by 1 3/4

KengaRu [80]

296/21 is the answer hope this helps

4 0

2 years ago

Read 2 more answers

What is the length of side b? Thank u

dimulka [17.4K]

My guess is length of side B would be 12. This is my estimation, I remember a bit on how to do these but since it’s a triangle, I’m thinking the sides are going to be 1/2 of the base. In this case, the base is 24, so the sides should be 12.

7 0

2 years ago

The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and in

MakcuM [25]

Answer:

joint variation means L (safe load) is directly proportional to both w and d2

inverse proportionality means L = k/l

So the equation is:

L = k(wd2/l)

You are given:

w = 6 in

d = 5 in

l = 12 ft

L = 7666 lbs

7666 = k(6*52/12)

Solve for the constant, k.

7666 = k (6*25/12)

7666 = k (150/12)

7666 = k (12.5)

613.28 lbs/(ft.in3) = k

Use this k-value to solve for L in the last part of the question.

What safe load, L would a beam 3 in. wide, 7 in. deep and 15 ft long of the same material support? (Round off your answer to the nearest pound.)

w = 3 in

d =7 in

l = 15 ft

k = 613.28 lbs/(ft.in3)

Final Safe load = 6010.144 lbs *** Edited for clarity and to fix a multiplication erro

5 0

1 year ago