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weeeeeb [17]
3 years ago
7

Matt gave half of his books to the local library and kept the other half. His best friend gave him 3 more books. He now has 57 b

ooks. How many did he have to start?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
He started with 108 books
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Find the ratio of x to y is 5y=3x
Colt1911 [192]

Answer:

\frac{x}{y} = \frac{5}{3}

Step-by-step explanation:

given 5y = 3x ( divide both sides by 3 )

\frac{5}{3} y = x ( divide both sides by y )

\frac{5}{3} = \frac{x}{y}




5 0
3 years ago
Read 2 more answers
A regular hexagon is shown.
-BARSIC- [3]

Answer:

(C)9 in.

Step-by-step explanation:

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Given the hexagon with a radius of 10 inches

The apothem AB divides the side of the hexagon into two equal parts of 5 Inches as seen in the attached diagram.

Using Pythagoras Theorem

10^2=5^2+|AB|^2\\|AB|^2=10^2-5^2\\|AB|^2=75\\|AB|=\sqrt{75}\\ |AB|=8.66$ in\\\approx$ 9 in (rounded to the nearest inch)

<u>The correct option is C</u>

8 0
3 years ago
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1/4 cup equals how many pounds?
Leno4ka [110]

1/4 cup equals 0.25 lbs.

6 0
3 years ago
Put the fractions in order smallest first 7/10 3/5 9/20 23/30 4/5
Studentka2010 [4]
9/20, 3/5, 7/10, 23/30, 4/5

4 0
3 years ago
The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number
ira [324]

Answer:

a.\ Probability = 0.426

b.\ Probability = 0.574

Step-by-step explanation:

Given

Total\ Families = 1000

Number of Girls :      0 ---->  1 -----> 2   ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls :      0 ---->  1

Number of Families: 112 -> 314

So, we have:

At\ Most\ One\ Girl = 112 + 314

At\ Most\ One\ Girl = 426

The probability is then calculated as:

Probability = \frac{At\ Most\ One\ Girl}{Total}

Probability = \frac{426}{1000}

Probability = 0.426

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls :      -----> 2   ------->3

Number of Families: --> 382 ---> 192

So, we have:

More\ Girls = 382 + 192

More\ Girls = 574

The probability is then calculated as:

Probability = \frac{More\ Girls}{Total}

Probability = \frac{574}{1000}

Probability = 0.574

4 0
2 years ago
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