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Lana71 [14]
3 years ago
9

A group of 52 people attend a ball game. There were three times as many men as women in the group. Write and solve a system of e

quations for m, the number of men, and w the number of women in the group.
Mathematics
2 answers:
Sindrei [870]3 years ago
5 0

Answer:

ok lol i think it is 3m x w=52 for the equation

Divide each term by

3

m

x

and simplify.

w

=

52

3

m

x

kkurt [141]3 years ago
3 0

Answer:

lets call the children, c, and call adult, a,

c+a= 52       eq 1: a=52-c

c=3a            eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

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After eating at the restaurant,Joan,Melanie , and Sam decide to divide the bill evenly. If each person paid 37 dollars, what was
Nitella [24]

Answer:

$111

Step-by-step explanation:

37x3 = 111

111/3 =37

8 0
3 years ago
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what
nasty-shy [4]
<h2>Explanation:</h2><h2></h2>

The volume of a cone can be found as:

V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ V:Volume \\ \\ r:radius \ of \ base \\ \\ h:height

Given the radius and height, we can find the volume of the cone:

V=\frac{1}{3}\pi r^2 h \\ \\ V=\frac{1}{3}\pi (1.25)^2(2.75) \\ \\ V=\frac{1}{3}\pi(1.5625)(2.75) \\ \\ V\approx 4.5in^3

The volume of a sphere is:

V=\frac{4}{3}\pi r^3 \\ \\ \text{Each gum ball has a diameter of 0.5in, so the radius is:} \\ \\ r=\frac{0.5}{2}=0.25in

So, for each gum ball the volume is:

V=\frac{4}{3}\pi r^3 \\ \\ V=\frac{4}{3}\pi (0.25)^3 \\ \\ V=0.065in^3

Therefore, the he closest approximation of the volume of the cone that can be filled with flavored ice is:

4.5-0.065=4.43in^3

Conclusion: The volume of the cone that can be filled with flavored ice is 4.43 cubic inches.

3 0
3 years ago
What does it mean if the sides arnt congruent
Kaylis [27]
Answer:

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8 0
3 years ago
Emma put $98,000 in an account earning interest compounded annually. At
Sergeu [11.5K]

Answer:

The interest rate was of 5.5% a year.

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question, we have that:

A = 109076.45, P = 98000, n = 1, t = 2

We have to find r.

A(t) = P(1 + \frac{r}{n})^{nt}

109076.45 = 98000(1 + r)^{2}

(1+r)^{2} = \frac{109076.45}{98000}

(1+r)^{2} = 1.113025

Taking the square root from both sides to isolate r.

\sqrt{(1+r)^{2}} = \sqrt{1.113025}

1 + r = 1.055

r = 1.055 - 1

r = 0.055

The interest rate was of 5.5% a year.

6 0
3 years ago
Justin puppy gained a total of 14 pounds in three months. The puppy gained an equal amount of weight each month. how much weight
Artyom0805 [142]
The puppy gained 42 pounds because 14×3=42
8 0
3 years ago
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