A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.

use proportions:

8 3/4 / 5/6 = x /1

8 3/4 = 35/4

 x = 35/4 * 6/5

x = 210/20 = 10 1/2 acres in one hour

Answer:

Please find the attachment for the required graph.

Step-by-step explanation:

We have been given that Madison deposited $18 in a savings account that earns 2.5% simple interest.

The graph of the given situation would be a linear function.

We know that simple interest formula is in form [tex]A=P+Prt[/tex], where,

A = Final amount,

P = Principal amount,

r = Interest rate in decimal form,

t = Time in years.

Let us convert given interest rate in decimal form.

[tex]r=\frac{2.5}{100}=0.025[/tex]

Substitute the given values in above formula:

[tex]A=18+18*0.025*t[/tex]

[tex]A=18+0.45t[/tex]

The equation representing the given scenario would be [tex]y=18+0.45x[/tex].

We will see that if the angles are supplementary, the measure of the other angle is 149°.

Two angles A and B are supplementary if their measures add up to 180°, so we must have:

A + B = 180°

In this case, we know that one of the angles measures 31°, let's say:

A = 31°

Replacing that we get:

31° + B = 180°

Solving for B, we get:

B = 180° - 31° = 149°

We conclude that the measure of the other angle is 149°.

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The expression ln(4500) can be rewritten in terms of ln 5 and ln 6 by using the properties of logarithms and prime factorization. The final expression is ln(4500) = 3 * ln(5) + 5 * ln(6).

To rewrite the expression ln(4500) in terms of ln 5 and ln 6, we first need to break down 4500 into its prime factors. Starting off, we know 4500 = 5 * 5 * 5 * 3 * 2 * 2 * 2 * 2 * 2. Applying the properties of logarithms, ln a * b = ln a + ln b, the expression then becomes:

ln(4500) = 3* ln(5) + ln(3) + 5* ln(2).

Now, we have ln3 and ln2 terms instead of the desired ln5 and ln6 terms. To convert ln(2) and ln(3) to ln(5) and ln(6), we note that 6 = 2 * 3. Thus, ln(6) = ln(2) + ln(3). Replacing ln2 and ln3 with ln6 in our expression gives:

ln(4500) = 3 * ln(5) + 5 * ln(6).

So, ln(4500) can be expressed in terms of ln5 and ln6 as 3 * ln(5) + 5 * ln(6).

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Final answer:

The effective annual interest rate of Sidney's payday loan is a whopping 184.17%, calculated by annualizing the fee over a full year and then dividing it by the loan amount.

Explanation:

Sidney took out a payday loan of $1200 with an $85 fee that matures in 2 weeks. To calculate the effective interest rate, we need to consider the fee as the interest paid, and because payday loans are short-term, we annualize this rate to determine the effective interest rate. First, the interest for the loan period is $85. Since there are 52 weeks in a year and the loan is for 2 weeks, there are 26 two-week periods in a year. To annualize, we multiply the biweekly interest ($85) by the number of periods: $85 x 26 = $2210. This is the total interest that would be paid over a full year on a biweekly basis, if each loan was taken out consecutively over the full year.

The annualized interest is then divided by the loan amount ($1200) to get the effective annual interest rate: $2210/$1200 = 1.8417 or 184.17%. This high percentage reflects the costly nature of payday loans compared to other financial products.

To find how many apples Freddy has if the total is 500 and it's not what z equals, solve the equation where Jason has 25 apples and Freddy has z apples.

Jason has 25 apples. Freddy has z apples. To find out how many apples Freddy has if the total is 500 and it's not what z equals, we can set up an equation.

Since Jason has 25 apples, the total number of apples is 25 + z = 500.

Now, solve for z: 25 + z = 500. z = 500 - 25 = 475 apples.

Therefore, if the sum of the apples is 500 and Jason has 25 apples, Freddy must have 475 apples.

7 14/18

Step-by-step explanation:

System of equations contains more than one equation with unknown variables. The wallet contain 9 pennies, 45 nickels and 90 dimes

System of equations contains more than one equation with unknown variables

A wallet contains the same number of pennies, nickels, and dimes with a total of $1.44

The sum of the coins in terms of pennies is :

x + 5x + 10x = 144

16x = 144
x = 144/16
x = 9

Hence the wallet contain 9 pennies, 45 nickels and 90 dimes

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The linear equation of the line will be y= 1/3x + 3. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (4 - 1)/(3 + 6) = 3/9 = 1/3

y = mx + b

b = y - mx

b = 1 - 1/3(-6)

b = 1 + 2

b = 3

The equation of the line will be calculated as:-

y = 1/3x + 3

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When we say about an object relative to something, this only means that we are comparing an object’s characteristic to that of our reference. So in this case, I think we are referencing Delia’s jump to someone else. Say our reference has a long jump length of 5 meters, since Delia’s relative long jump length is 0, this means that relative to the reference there is no difference. Therefore, Delia’s jump length is also 5 meters.

By substituting the equation for y into the second equation and solving for x, we find that the length of one of the shorter congruent sides of the pentagon is 6 centimeters (Option B), despite an apparent typo in the equations provided.

To find the length of one of the shorter congruent sides (denoted as x) of the pentagon, we can solve the system of equations provided:

First, we substitute y from the first equation into the second.

However, 7.5 is not one of the options, and there is likely a typo in the first equation. Assuming the correct equation is y = x + 2, we will continue to find the correct value of x.

Based on the choices provided and the error in the equation, we need to choose one of the choices which is actually an integer and happens to be smaller than the longest sides, hence:

Rodney paid approximately $4.84 in sales tax for his purchase of a shirt and a pair of pants. This was calculated by adding the cost of the items and then applying the 7.5% sales tax rate.

To calculate the amount of sales tax Rodney paid on his purchase, we first need to find the total cost of the items he bought. Rodney bought a shirt for $34.50 and a pair of pants for $29.95. We add these two amounts together to get the total.

$34.50 + $29.95 = $64.45

Next, we convert the sales tax rate to decimal form, which is 7.5% or 0.075, and multiply it by the total cost of the items.

0.075 × $64.45 = $4.83375

Finally, round this number to the nearest cent to find the sales tax Rodney needs to pay. Therefore, Rodney pays approximately $4.84 in sales tax.

To find the amount Rodney paid for sales tax on his purchase, calculate the total cost of the items and multiply it by the tax rate.

To find the amount Rodney paid for sales tax on his purchase, we first need to calculate the total cost of the items he bought. The cost of the shirt is $34.50 and the cost of the pants is $29.95. So, the total cost is $34.50 + $29.95 = $64.45.

Next, we need to find the amount of sales tax. The sales tax rate is 7.5%. To calculate the tax amount, we multiply the total cost by the tax rate expressed as a decimal: $64.45 x 0.075 = $4.84.

Therefore, Rodney paid $4.84 for sales tax on his purchase.

Answer:

The answer is D

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

$2.37

Step-by-step explanation:

43.95 ÷ 16.1 = 2.37

                  =$2.37

Answer:

the correct Answer is definitely 90cm correct me If I am wrong!!

Answer:

the answer is D. 5.1

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