Suppose you and a friend form a band. You want to record a demo. Sony Studios rents for $150 plus $20 an hour. Capitol Studios rents for $200 plus $15 an hour. Use a system of equations to help you to determine when the studios charge the same amount.

at what number of hours do the studios charge the same amount?
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Answer:

first one x=4

second one x=3

Step-by-step explanation:

<3

Answer:

1. True

2. True

Step-by-step explanation:

So we are playing with variables here, lets look at 1.

5x + 9 = 29 if x = 4

This means that if x equals 4, would it make the equation true? Let's find out :

Substitute :

5(4) + 9 = 29

20 + 9 = 29

This is true, let's do the same for 2. :

7x - 8 = 13 if x = 3

7(3) - 8 = 13

21 - 8 = 13

This is also true.

Answer:

c. 8 months.

Step-by-step explanation:

First let's break down all the expenses and taxes to come up with how much we save each month and subtract it to our total salary monthly.

Total Salary : $1312.00 x 2 = $2,624.00

Current Savings : 2/3 or 0.67 = $15333.33

| Expenses |

Monthly Expenses : $1,150.12

Social Security : 6.2% or 0.062 x 2,624 = $162.69

Medicare : 1.45 or 0.0145 x 2,624 = $38.05

Taxes: $53 + $101.35 = 154.35 x 2 = $308.7

So we sum up all the expenses.

= $1659.56 Total Expenses.

Now we have to find how much extra money we have each month.

= $964.44 Extra Money

Now we subtract our current savings to the total price of the car.

= -7666.67 Balance

Now we divide the total balance to our extra money monthly.

= 7.949 Months or 8 Months

Answer:

48 dimes and 62 quarters

Step-by-step explanation:

Answer:

$47.70

Step-by-step explanation:

45 increase 6% =

45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7

Answer:

Edward drank more water.

Step-by-step explanation:

Jonathan had 3 cups exact and Edward had 3.5 Cups.

Answer:

Edward drank more water (3.5 cups)

Step-by-step explanation:

8 ounces is equal to 1 cup. By dividing 28 by 8, you would get 3.5 cups of water that Edward drank.

Answer:

3z + 15

Step-by-step explanation:

perimeter = sum of lengths of sides

P =

P = 3z + 15

Pikuai answers~

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60  Players are left handed

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Hope this helped, have a great day~

Answer: 10 times 3 equals 30 and 7 times 18 equals 126. 126 plus 30 is 156 is the answer

Step-by-step explanation:math

Answer:

Step-by-step explanation:

if we already have a 1 and the answer is -5, we still don't know what T is. T is -6 because,  -6 - 1 = -5

Answer:

15/40 = 3/8

Step-by-step explanation:

numerator x numerator & denominaror x denominaror

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:

So,

3/5 = 0.6

5/8 = 0.625

Next,

We can multiply these decimals together to find the product:

= 0.6 x 0.625

= 0.375

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.

The shaded point should fall between 0.3 and 0.4 on the number line.

Thus,

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

Learn more about number line here:

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Answer:

h = 8.77

Step-by-step explanation:

Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:

h + 4.88 = 13.65

h + 4.88 (-4.88) = 13.65 (-4.88)

h = 13.65 - 4.88

h = 8.77

8.77 is your answer for h.

~

Answer:

6x + 3y = 3

I hope that this helps

Answer:

5x-16y=12

Step-by-step explanation:

Ax+By=C

FIND the LCD (6)

MULITPLY BOTH SIDES BY 6

6(8/3Y)=6(5/6X-2)

Answer:

A. x+y<10

B. x+y≤10

Step-by-step explanation:

A is correct because they can be less than.

B is correct because there is less than or equal too of numbers of volunteers.

C, D, and E cannot be correct however, because that means that they can be over at any number. Therefore, these three would be incorrect.

Answer:

I believe you are correct

Step-by-step explanation:

hope I am right

Answer:

GHJKL

Step-by-step explanation:

VBNM,

perimeter = 72 cm

width = x

length = x+8

perimeter of rect. = 2(l+b)

2(x+x+8) = 72

2(2x+8) = 72

4x + 16 = 72

4x = 56

x = 56|4

x= 14

hence width is 14 so ,length will

14+ 8 = 22

hope it helps and your day will full of happiness

Answer:

$911.02

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.25%/100 = 0.0125 per year,

then, solving our equation

I = 845 × 0.0125 × 6.25 = 66.015625

I = $ 66.02

The simple interest accumulated

on a principal of $ 845.00

at a rate of 1.25% per year

for 6.25 years is $ 66.02.

Answer:

no habla espanol, sorry

Answer:

Utilizando la fórmula 2 y sustituyendo los valores indicados:

Precio de venta = Precio original - Valor del descuento. Así,

Precio de venta = 45 - 31.5

Precio de venta = $13.5 (respuesta)

Esto significa que el costo del artículo para usted es $13.5.

Usted pagará $13.5 por un artículo cuyo precio original fue $45 con un descuento de 70%.

En otras palabras, si usted compra una mercancía por $45 con 70% de descuento, Usted pagará $(45 - 31.5) = $13.5

Step-by-step explanation:

esoes

Answer:

commutative

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Commutaive

Answer:

29.8–34.2 hours

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

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.

Population:

Mean of 32, standard deviation of 2.5.

Sample:

Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]

There is about a 95% probability that the sample mean will fall in which interval?

Within 2 standard deviations of the mean. So

32 - 2*1.1 = 32 - 2.2 = 29.8

32 + 2*1.1 = 32 + 2.2 = 34.2 hours

Answer:

50% chance for both

Step-by-step explanation:

If its two marbles then you have a 50% chance of picking up either the black or white. If four marbles are in the bag it would be 25%, if 10 then you have 10% and so on.

If you pick a marble from this bag. The probability you will choose either a plain black or plain white marble will be 0.5.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, a person has to pick a marble from this bag.

We have to find the probability you will choose either a plain black or plain white marble

The probability that you'll select a basic black or plain white marble,

P=favourable outcome / total outcome

P=(either plain black or plain white marble) / 2

P=1/2

P=0.5

Thus, if you pick a marble from this bag. The probability you will choose either a plain black or plain white marble will be 0.5.

Learn more about the probability here:

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Answer:

together they are 124.5 milligrams

Step-by-step explanation:

together they are 124 + 0.5 = 124.5 milligrams

Answer:

(8,2)

Step-by-step explanation:

the third option

Answer:

i guess (8,2)

Step-by-step explanation:

it's where both lines intercept

Answer:

5.5 cm

Step-by-step explanation:

Answer:

4.24483 or 4.2

Step-by-step explanation: