Evaluate the expression and prove your answer by using a model. 5/8 divide by 1/2

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.

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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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.

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].

Answer:

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

Answer:

the answer is D. 5.1

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7 14/18

Step-by-step explanation:

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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hamburgers = 43 + 41 = 84

spaghetti = 13 + 20 = 33

pizza = 44 +39 = 83

 since 83 & 84 are close the answer is:

Hamburgers and pizza are preferred almost equally.

Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation:

Answer:

$2.37

Step-by-step explanation:

43.95 ÷ 16.1 = 2.37

                  =$2.37

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:

Step-by-step explanation:

THESE ARE THE CORRECT ANSWERS

its c .i just took it

The coordinates of point M are approximately (5.7, 2.2).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the coordinates of point M, we need to first find the coordinates of point L.

Since point L partitions the directed line segment from K to N in a ratio of 1:2, we can use the midpoint formula to find its coordinates:

L = [(1/3)(8 - 6) + (-6), (1/3)(3 - (-2)) + (-2)]

L = (-4, 1)

Next, we need to find the coordinates of point M, which partitions the directed line segment from L to N in a ratio of 3:1. We can use the same formula:

M = [(3/4)(8) + (1/4)(-4), (3/4)(3) + (1/4)(1)]

M = (5.5, 2)

Rounding to the nearest tenth, we get M ≈ (5.7, 2.2).

Therefore, the coordinates of point M are approximately (5.7, 2.2).

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The angle is approximately 65.09 degrees or 1.106 radians.

To find the angle whose cosine is 0.4203, we can use the inverse cosine function, denoted as [tex]cos^{-1}[/tex]or arccos.

The result will be:

[tex]cos^{-1}[/tex](0.4203) ≈ 65.09°

This means the angle whose cosine is 0.4203 is approximately 65.09 degrees or 1.106 radians.

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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