A student earns a 98 on a test for answering one question incorrectly and earns a 90 for answering five questions incorrectly. Is the slope of the line that models the linear relationship a positive negative zero or undefined slope?

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint.

To paint one 10 ft by 10 ft room, Carlos uses 3/4 gallons of paint. To find how many rooms Carlos can paint with the available 4 1/2 gallons of paint, we divide the total paint available by the paint used per room.
Number of rooms = Total paint available / Paint used per room
Number of rooms = 4 1/2 / 3/4
Number of rooms = 9/2 / 3/4
To divide fractions, multiply by the reciprocal of the divisor
Number of rooms = 9/2 * 4/3
Number of rooms = 36/6
Number of rooms = 6

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint. Therefore, the correct answer is C. 6 rooms.

To determine how long the pizzeria's cheese supply will last, we divide 250 pounds by the daily usage of 20 5/6 pounds, which equals approximately 12 days.

To calculate how long the pizzeria's 250 pounds of mozzarella cheese will last, given that they use 20 5/6 pounds of cheese every day, we have to divide the total amount of cheese by the daily usage. The fraction 5/6 needs to be converted to a decimal for ease of calculation. So 5/6 is approximately 0.833. Therefore, the daily usage is 20 + 0.833, which is 20.833 pounds.

Next, we divide the total amount of cheese by the daily usage to find how many days the cheese will last:

250 ÷ 20.833 ≈ 12 days

Therefore, the mozzarella cheese will last for approximately 12 days.

To solve this problem, we can set up an equation using the given information and solve for x. The original amount of almonds in Bag B was 40 ounces.

To solve this problem, we can set up an equation using the given information. Let's assume that the original amount of almonds in Bag A is 8x ounces and the original amount of almonds in Bag B is 5x ounces.

After 12 ounces of almonds are transferred from Bag A to Bag B, the amount of almonds in both bags becomes the same. This means that the amount of almonds in Bag A is now 8x - 12 ounces and the amount of almonds in Bag B is now 5x + 12 ounces.

Setting up an equation based on the ratios, we have:

8x - 12 = 5x + 12

Solving for x, we find that x = 8.

Therefore, the original amount of almonds in Bag B was 5x = 5(8) = 40 ounces.

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To find the new ratio of Tim's stamps to David's stamps after he gives half of them to David, we set up a proportion using their initial amounts and the given fractions. The new ratio, after simplification, is 1 : 3 2/3 (or 1 : 3.67 in decimal form).

To solve the problem, we need to set up a ratio and proportion based on the information given. Initially, the number of Tim's stamps is 3/4 the number of David's stamps. If Tim gives 1/2 of his stamps to David, the situation changes, and we need to calculate the new ratio of their stamps.

Let's assume David has D stamps. So, Tim has 3/4 * D = 3D/4 stamps initially. When Tim gives away half of his stamps, he gives 1/2 * 3D/4 = 3D/8 stamps to David.

Now, David has D + 3D/8 stamps, and Tim has 3D/4 - 3D/8 stamps. Simplifying these expressions gives us:

The new ratio of Tim's stamps to David's stamps is 3D/8 : 11D/8. We can simplify this by dividing both parts by 3D/8, which gives us:

3D/8 : 11D/8 = 1 : 11/3 = 1 : 3 2/3 or 1 : 3.67 in decimal form.

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The total cost is $50.74

A percentage is a number that tells us how much out of 100.

43*118% = 43*1.18 = 50.74

Hence, The total cost is $50.74

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To find an equivalent fraction to 2/5 with a denominator of 15, multiply both the numerator (2) and the denominator (5) by 3, resulting in the fraction 6/15.

To find a fraction equivalent to 2/5 that has a denominator of 15, we need to scale up the original fraction so that the denominator becomes 15. This is done by finding a number that you can multiply the denominator by to get 15. Since 5 × 3 = 15, we multiply both the numerator and denominator of 2/5 by 3 to maintain the same value.

Here's the calculation:

Therefore, the fraction that is equivalent to 2/5 with a denominator of 15 is 6/15.

The counter-clockwise rotation of the clockwise 90-degree rotation will be  180 degrees.

Clockwise motion, also known as CW, moves from top to bottom, then down and left, and then back to top in the same manner as a clock's hands. The opposing direction of rotation or revolution is anticlockwise (ACW) or counterclockwise (CCW).

Given that there is a rotation of 90 degrees clockwise. The counterclockwise rotation will be calculated as.

The counterclockwise rotation will be equal to 180 degrees because the rotation will be first of 90 degrees and again of 90 degrees, Mathematically written as,

Counterclockwise rotation = 90 + 90

Counterclockwise rotation = 180

Therefore, the counter-clockwise rotation of the clockwise 90-degree rotation will be  180 degrees.

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To find the result of .8 divided by .6 to the nearest hundredth, perform the division to get around 1.3333, then round this to two decimal places to get 1.33.

The question asks for the result of .8 divided by .6, rounded to the nearest hundredth. To do this, you can perform the division as you normally would with any two numbers. First, divide .8 by .6 using a calculator or long division. The result is around 1.3333.

Then, because the question asks for the result to the nearest hundredth, you need to round this answer to two decimal places. To do this, look at the third decimal place. If it's 5 or above, round up. If it's 4 or below, round down. In this case, the third decimal place is a 3, so you round down. This means that .8 divided by .6, to the nearest hundredth, is 1.33.

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The number that is such that its quotient with 4 would be - 7 can be found to be - 28.

To find the number when the quotient of that number and 4 is -7, you can set up an equation and solve for the unknown number (let's call it "x").

The equation can be written as:

x / 4 = -7

To isolate x, you can multiply both sides of the equation by 4 to get:

x = -7 * 4

x = -28

In, the mystery number that when divided by 4, gives - 7, is -28.

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Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples, calculated by subtracting 3.7 pounds (Golden Delicious) from 4.54 pounds (Fuji).

Mateo bought 4.54 pounds of Fuji apples and 3.7 pounds of Golden Delicious apples. To find out how many more pounds of Fuji apples he bought than Golden Delicious apples, you can simply subtract the weight of the Golden Delicious apples from the weight of the Fuji apples:

4.54 pounds (Fuji apples) - 3.7 pounds (Golden Delicious apples) = 0.84 pounds.

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples. This means that he purchased nearly 0.84 pounds extra of Fuji apples compared to the Golden Delicious variety.

It's important to remember that this calculation involves a straightforward subtraction of weights and doesn't require any complex mathematical operations. So, Mateo purchased approximately 0.84 pounds more of Fuji apples than Golden Delicious apples.

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After a 150% efficiency increase, a machine that initially produces 20 carpets will produce 50 carpets per day.

If a machine is currently making 20 carpets a day and its efficiency increases by 150%, the new production can be calculated as follows:

First, we understand that an increase of 150% in efficiency is the same as multiplying the current efficiency by 1 + 1.50 (where 1 represents the current efficiency and 1.50 represents the increase). This gives us a factor of 2.50 (or 250%).

Now we apply this factor to the current production:

After oiling the machine, it will therefore produce 50 carpets per day.

To round 0.482 to one significant figure, consider the first non-zero digit '4' and round up to '5' because the next digit is '8', giving you 0.5.

To round off the number 0.482 to one significant figure, you look at the first non-zero digit, which is '4' in this case. Since the digit to the right of '4' is '8', which is greater than 5, you round up the '4' to '5'. Therefore, 0.482 rounded to one significant figure is 0.5.

Using examples from provided references:

The total interest paid on a $20,000 loan at 5% simple interest over 4 years is $4,000.

To solve part (a) of the question, we calculate the amount of interest paid on a $20,000 loan over 4 years with a 5% simple interest rate:

Calculate the annual interest: $20,000 * 5% = $1,000.

Multiply the annual interest by the number of years: $1,000 * 4 years = $4,000.

The total interest paid after 4 years is $4,000.

For part (b), to find the interest saved by paying off the loan after 3 years instead of 4 years, we do the following:

Calculate the interest for 3 years: $1,000  imes 3 years = $3,000.

Deduct the 3-year interest from the 4-year interest: $4,000 - $3,000 = $1,000.

The interest saved by paying the loan off after 3 years is $1,000.

Answer:

The circumference of the lamp shade is 57 inches.                      

Step-by-step explanation:

Given : A lamp shade has a radius of 9 inches.

To find : The circumference of the top of the shade

Solution : A lamp shade is in a sphere form,

So, formula to find the circumference of sphere is

[tex]C=2\pi r[/tex]

Now, the radius of lamp is 9 inches and [tex]\pi=3.14[/tex]

Substitute the value in the formula we get,

[tex]C=2\pi r[/tex]

[tex]C=2\times 3.14 \times 9[/tex]

[tex]C=56.52[/tex]

Round to nearest whole number circumference is 57 .

Therefore,The circumference of the lamp shade is 57 inches.