Simplify:

3(3t – 2) – 2(t + 1)

To find the number of cats at the pet store, set up a proportion using the given ratio of dogs to cats and the number of dogs. Cross multiply to solve for the number of cats.

To find the number of cats at the pet store, we need to use the given ratio of dogs to cats. Since the ratio is 1:2 and there are 15 dogs, we can set up a proportion to solve for the number of cats. We can write the proportion as 1/2 = 15/x, where x represents the number of cats. We can cross multiply to find x, which gives us x = 30. Therefore, there are 30 cats at the pet store.

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Yes, a field with a width of 75 yards and an area of 7500 square yards would be within FIFA regulation.

The area of a rectangle is calculated by multiplying its length by its width. In this case, the width of the field is 75 yards and the area is 7500 square yards. To determine if the field is within FIFA regulation, we need to compare its area to the typical dimensions of a soccer field.

A typical soccer field has a length of 100-130 yards and a width of 50-100 yards. Since the field in question has a width of 75 yards, it falls within the acceptable range. Therefore, the field with a width of 75 yards and an area of 7500 square yards would be within FIFA regulation.

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:

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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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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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.

The time taken by both Robin and Brady will be 12 / 7 hours.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The time taken by both Robin and Brandy will be calculated as follows:-

Total Efficiency = ( 1 / 4 + 1 / 3 )

                         = ( 4 + 3 ) / 12

                         = ( 7 / 12 )

Now time taken will be the inverse of the frequency.

Time = 12 / 7 hours

Therefore the time taken by both Robin and Brady will be 12 / 7 hours.

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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.

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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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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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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Answer:

-30r + 15

Step-by-step explanation:

We have been given that

20(−1.5r+0.75)

Use the distributive property a(b+c)=ab+ac.

20×(−1.5r)+20×0.75

Multiplying, we get

-30r +15

These two are not like terms. Hence , we cannot combine them.

Therefore, we cannot simplify it more.

Hence, the simplified expression is -30r + 15

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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