As president of the soccer club, Joey had to order pins for the entire club. He knew there were 96 boys in the club, but did not know the number of girls. The coach told him that the ratio of girls to boys was 2:3. How many pins did Joey have to order?
a.
64 pins
c.
144 pins
b.
160 pins
d.
192 pins

Answer:

The base of the number is 8

Answer:

42 miles/3 gallons

Step-by-step explanation: Multiplying 14 by 3 and 1 by 3 will give you 42/3, which keeps the unit ratio.

Answer:

42 miles/3 gallons

Step-by-step explanation:

Answer: its the last answer I got it right

Answer:

An equation in point-slope form for the line will be:

[tex]y - (-3) = 8 (x - (-4))[/tex]

Please check the attached line graph also.

Step-by-step explanation:

Given

The point (-4, -3)

The slope m = 8

To determine

Write an equation in point slope form for the line.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case,

substituting the values m = 8 and the point (-4, -3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-3) = 8 (x - (-4))[/tex]

Therefore, an equation in point-slope form for the line will be:

[tex]y - (-3) = 8 (x - (-4))[/tex]

Please check the attached line graph also.

Answer: C isn't correct.

Step-by-step explanation:

C is NOT correct

The equation that represents the situation is y = 50x not x = 50y

Hope I helped! :3

Answer:

There are 43 nickels in the piggy bank.

Step-by-step explanation:

Given that:

Number of coins = 91

Worth of coins = $6.95 = 6.95*100 = 695 cents

Let,

x be the number of nickles

y be the number of dimes

According to given statement;

x+y=91     Eqn 1

5x+10y=695     Eqn 2

Multiplying Eqn 1 by 5

5x+5y = 455    Eqn 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=695-455

5x+10y-5x-5y=240

5y = 240

[tex]\frac{5y}{5}=\frac{240}{5}[/tex]

y = 48

Putting y=48 in Eqn 1

x+48=91

x=91-48

x= 43

Hence,

There are 43 nickels in the piggy bank.

Answer:

Step-by-step explanation:

This is a help site, so I'll explain each property and see if you can match them yourself.

Associative property of addition, you can add 3 or more different numbers any which way, the sum will be the same.

Commutative Property of Addition - same as the associative property but with 2 numbers.

Identity Property of Multiplication - Any number multiplied by one is itself

Multiplicative Property of Zero: x * 0 = 0

Associative Property of Multiplication - Same as that of addition, yet with multiplication.

Distributive Property: Factoring Out.

EX: (12 x 15) = 3(4 x 5)

Answer:

Its a monomial of degree 0

Step-by-step explanation:

pls mark brainliest

Answer:

The expression represents a polynomial. The polynomial is a monomial and has a degree of 1

Step-by-step explanation:

First lets look at the definitions of these words:

Monomial means that there is only one term in the equation

Binomial means there is 2 terms

Trinomial means there is 3

and polynomial means 4 or more

The equation would be a monomial because it only has 1 term in it.

Now lets look at the degree.

To find the degree lets take a look at how to make radicals into exponents

So you have [tex]-\sqrt{2}[/tex]

You know that when you square root something, the degree of the radical sign is 2.

That is not the degree its asking for though. Its asking for the degree of 2

In exponential form the equation is [tex]-2^{\frac{1}{2} }[/tex]

Reason for this being that the numerator is the exponent for whatever is inside the radical sign while the denominator is for the square root symbol.

So if you have [tex]-2^{\frac{3}{4} }[/tex] for example, the radical form is [tex]-\sqrt[4]{2^{3} }[/tex]

So the numerator would be the degree.

If there is no degree for the function, as in you don't see an exponent then that means the exponent = 1

If you need further assistance don't be afraid to reach out. I hope this helps!

Answer:

The Buzz can travel 733.33 feet per second.

Step-by-step explanation:

An hour has 60 minutes, each of which has 60 seconds. So one hour has 60*60 = 3600 seconds.

The airplane can fly 500 miles per hour. Each mile has 5280 feet. So the plane can fly 500*5280 = 2640000 feet in one hour.

Per second, we have:

[tex]\frac{2640000}{3600} = 733.33[/tex]

The Buzz can travel 733.33 feet per second.

9514 1404 393

Answer:

  3.65% monthly

Step-by-step explanation:

The same amount is invested for the same period in all accounts, so we only need to determine the effective annual rate in order to compare the accounts.

For compounding annual rate r n times per year, the effective annual rate is ...

  (1 +r/n)^n -1

For the same rate r, larger values of n cause effective rate to be higher. As a consequence, we know that 3.65% compounded quarterly will not have as great a yield as 3.65% compounded monthly. The effective rate for the monthly compounding is ...

  (1 +0.0365/12)^12 -1 = 3.712%

The effective rate for continuous compounding is ...

  e^r -1

For a continuously compounded rate of 3.6%, the effective annual rate is ...

  e^0.036 -1 = 3.666%

This tells us the best yield is in the account bearing 3.65% compounded monthly.

_____

If i is the effective annual rate of interest as computed by the methods above, then the 10-year account balance will be ...

  10000×(1 +i)^10

This is the formula used in the spreadsheet to calculate the balances shown.

Answer:

Step-by-step explanation:

Volume of the entire figure = L (Area 1  + Area 2)

where L = 10 m

Area 1 (blue prism) = 4 x 3 = 12 m²

Area 2 (brown prism = 1 x 7 = 7 m²

plugin  values into the formula:

Volume of the entire figure = L (Area 1  + Area 2)

                                             = 10 (12 + 7)

                                             = 120 m³ + 70 m³

                                             = 190 m³

Answer:

6 more girls than boys

Step-by-step explanation:

7+5=12

36 divided by 12 = 3

3x7=21

3x5=15

p = 18.5

Step-by-step explanation:

a. to find perimeter you have to add all the sides together

So if one side is p, and the other side is 3p+2, just add them together like this

p + 3p + 2, then combine the ps so the expression is

4p + 2

b. now you find out the perimeter is 76

So put the original expression of your perimeter and 76 together like this

4p + 2 = 76

c. So now solve the equation

4p + 2 = 76

subtract 2 from both sides to get the ps alone

4p = 74

now divide by 4 to get the p by itself

74 ÷ 4 is 18.5, or 18 1/2

So p = 18.5 or 18 1/2

Answer:

1)  [tex]\mathbf{\sqrt{50}= 5\sqrt{2} }[/tex]

2) [tex]\mathbf{\sqrt{28}= 2\sqrt{7} }[/tex]

3) [tex]\mathbf{\sqrt{252}= 6\sqrt{7} }[/tex]

Step-by-step explanation:

We need to simplify the radicals:

1) [tex]\sqrt{50}[/tex]

First we find prime factors of 50

50 = 2 x 5 x 5

Now,

[tex]\sqrt{50}\\=\sqrt{2\times 5\times 5}\\=\sqrt{2\times 5^2}\\ =\sqrt{2} \sqrt{5^2}\\=5\sqrt{2}[/tex]

So, [tex]\mathbf{\sqrt{50}= 5\sqrt{2} }[/tex]

2) [tex]\sqrt{28}[/tex]

First we find prime factors of 28

28 = 2 x 2 x 7

Now,

[tex]\sqrt{28}\\=\sqrt{2\times 2\times 7}\\=\sqrt{2^2\times 7}\\ =\sqrt{2^2} \sqrt{7}\\=2\sqrt{7}[/tex]

So, [tex]\mathbf{\sqrt{28}= 2\sqrt{7} }[/tex]

3) [tex]\sqrt{252}[/tex]

First we find prime factors of 252

50 = 2 x 2 x 3 x 3 x 7

Now,

[tex]\sqrt{252}\\=\sqrt{2\times 2\times 3\times 3 \times7}\\=\sqrt{2^2\times 3^2 \times7}\\ =\sqrt{2^2} \sqrt{3^2}\sqrt{7} \\=2\times 3\sqrt{7}\\=6\sqrt{7}[/tex]

So, [tex]\mathbf{\sqrt{252}= 6\sqrt{7} }[/tex]

Answer:

Answer Placeholder (I'm going to solve it and answer when I'm done)

Step-by-step explanation:

Answer:

7/32

Step-by-step explanation:

[tex]\frac{7}{20n}=\frac{8}{5}[/tex]

we can multiply the elements on the diagonal so

20n*8=7*5

160n=35

we divide the relation by 160

n=35/160=7/32

Answer:

A,B,D,E

Step-by-step explanation:

hope u get to right

Answer:

Substitution

Step-by-step explanation:

We essentially have x = 180 and a+b+c = x.

So we are just substituting x for a+b+c

Answer:

a) The mean is $55 and the standard deviation is $0.6957

b) The shape of the sampling distribution of x is approximately normal.

c) 0.0749 = 7.49% probability that the average cell phone service paid by the sample of cell phone users will exceed $56.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Mean of the distribution: 55

Standard deviation of the distribution: 22

Sample of 1000.

This means that:

[tex]\mu = 55, \sigma = 22, n = 1000[/tex]

Part A: What are the mean and standard deviation of the sample distribution of X?

By the Central Limit Theorem, the mean is 55 and the standard deviation is [tex]s = \frac{22}{\sqrt{1000}} = 0.6957[/tex].

Part B: What is the shape of the sampling distribution of x?

By the Central Limit Theorem, the shape of the sampling distribution of x is approximately normal.

Part C: What is the probability that the average cell phone service paid by the sample of cell phone users will exceed $56?

This is 1 subtracted by the pvalue of Z when [tex]X = 56[/tex]. So:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 55}{0.6957}[/tex]

[tex]Z = 1.44[/tex]

[tex]Z = 1.44[/tex] has a pvalue of 0.9251

1 - 0.9251 = 0.0749

0.0749 = 7.49% probability that the average cell phone service paid by the sample of cell phone users will exceed $56.

Answer: The area would be 6 feet

Step-by-step explanation:

To find the area, we multiply the length and width

Answer:

No.

Step-by-step explanation:

y - 5 = 2(x - 1)

y = 2x + 3

y - 3 = 2(x + 3)

y = 2x + 9

Answer:

There is one solution

Answer:

It has one (-1.4,-1.2)

Step-by-step explanation:

I graphed both lines on desmos graphing calculator and they only crossed at one point.

Answer:correct answers are:

A.m<JPX=90°

B.XY & JK form right angles

E. JP=KP

F.XY⊥JK

Step-by-step explanation:

hope this helps

Answer:

what ???????????????????? repost this question

9514 1404 393

Answer:

  7th grade: 16

  5th grade: 13

  7th grade median is higher by 3 points

Step-by-step explanation:

There are 21 dots in each plot, so the median score will be the score associated with the 11th dot, counting from either end.

In the 7th-grade data, that dot is in the "16" column. The 7th grade median is 16.

In the 5th-grade data, that dot is in the "13" column. The 5th grade median is 13.

__

The 7th grade median is higher by 3 points.

_____

Additional comment

Your options for filling in the relationship of the scores are not shown. You may have to interpret the result according to the options available.

Answer: 10a, all of the numbers can be divided by 10a

10a (6x − 4y + 5z) = 60ax - 40ay + 50az

explain more for me to understand better pls

Answer:

[tex]61\% = \frac{61}{1 00 } \:→fractional \: expression \\ 61\% = 0.61 \: → decimal \: expression[/tex]

Answer: 40.2t - 25

Step-by-step explanation:

-0.2t - 5 (-8t + 5)

-0.2t + 40t -25

39.8t - 25