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3 years ago

6

Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720

each year for his telephone service. How much does Craig earn each month, in dollars

1 answer:

Juliette [100K]3 years ago

7 0

Answer: $1200
Explanation:
The amount of telephone bill Craig has to pay each month: $720/12= $60
His earnings each month: $60 x 20 = $1200

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****The last option was F=5+P<br><br> Help I need it ASAP

Liono4ka [1.6K]

Answer:

P = F + 5

Step-by-step explanation:

Phineas' nose is equivilent to Ferb's nose plus five

6 0

3 years ago

A batting machine uses an automatic baseball feeder. During baseball

Inessa05 [86]

The feeders in battling machine are represented in proportions and fractions.

The equation that represents the problem is: $\mathbf{\frac 16x + 15 = \frac 23x}$
The feeder can hold <em>30 baseballs</em>, when full

The given parameters are:

<em /> $\mathbf{Initial = \frac 16x}$ <em> ------ 1/6 full</em>

<em /> $\mathbf{Additional = 15}$ <em> --- baseballs added</em>

<em /> $\mathbf{Final = \frac 23x}$ <em> ---- 2/3 full</em>

<em />

So, the equation that represents the problem is:

$\mathbf{Initial + Additional = Final}$

So, we have:

$\mathbf{\frac 16x + 15 = \frac 23x}$

The number of baseballs it can hold is calculated as follows:

$\mathbf{\frac 16x + 15 = \frac 23x}$

Multiply through by 6

$\mathbf{x + 90 = 4x}$

Collect like terms

$\mathbf{4x - x = 90 }$

$\mathbf{3x = 90 }$

Divide through by 3

$\mathbf{x = 30 }$

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104

5 0

2 years ago

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

3 years ago

HELP MEEEEE........

Alex787 [66]

Answer:

Maybe Dependent

Step-by-step explanation:

3 0

3 years ago

Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs

Korolek [52]

Answer:

$30-8p$

Step-by-step explanation:

Let p represent cost of each drink.

We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be $2p$ .

We are also told that the large pizza costs three times as much as one drink, so the cost of la pizza would be $3p$ .

We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.

Since the cost of one drink is p, so cost of 3 three drinks would be $3p$ .

The total cost of one large pizza, one medium pizza, and three drinks would be $2p+3p+3p=8p$

Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.

$30-8p$

Therefore, Mary will have $30-8p$ dollars left after making all of her purchases.

4 0

3 years ago