Evaluate the expression when z = 10. 7 z ÷ 2

Answers

Answer 1
Answer: The answer is 0(0)=10.7(0)/20=0/20=0

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Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce 5 4 w widgets in 3 days, how many days would it take Machine X alone to produce 2w widgets.A. 4B. 6C. 8D. 10E. 12

These are the completed prime factor trees for 30 and 42. A) What two prime numbers are in both trees? B) Write down the hcf of 30 and 42 as the product of its prime factors C) Hence, work out the HCF of 30 and 42

Answers

Answer:

A) 2 and 3

B) 30 = 2 × 3 × 5

42 = 2 × 3 × 7

C) GCF of 30 and 42 = 2 × 3 = 6

A company's monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)?A.y = 25,000x + 1,000
B.y = 1,000x
C.y = 1,000x – 25,000
D.y = 1,000x + 25,000  
 

Answers

The equation that represents the profits as a function of time (in months) is

y = 1,000x + 25,000

Option D is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

January month at x = 0 = $25,000

Amount of profit increased each month = $1,000

Now,

The equation that represents the profits after x months.

y = 25,000 + 1,000x

Thus,

The equation is y = 25,000 + 1,000x

Learn more about equations here:

brainly.com/question/17194269

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If at January x = 0, then as you go through the months, x will increase by 1. As they make 1000 each month, multiplying the month by 1000 will show you how much they make
So part of the equation is 1000x
Next, you know that they start with a £25,000 profit, so you need to add it on to the profits you make each month. So the second part needs to be + 25,000
The final function is therefore 1000x + 25,000, which is D

What is the value of 5 over 6 divided by 3 over 4

Answers

Answer:

  • 10/9

Step-by-step explanation:

  • 5/6 ÷ 3/4 =
  • 5/6 × 4/3 =
  • 20/18 =
  • 10/9

John made 2 quarts of juice for a school party. He said that he made 2/4 cups of juice. Explain John's mistake.

Answers

The conversion from quarts to cups is:
1 cup = 1/4 quart
John made the mistake of using the conversion the other way around
Therefore, he thought that 1 quart was 1/4 cups instead.

This would result in John getting 2/4 cups rather than 8 cups, which should be the accepted value

Hope this helped ^_^

What is the seventh term of the sequence 1, 3, 9, 27, ...? 81 243 729 2187

Answers

The answer is 729. Hope this helps

Answer:

729

Step-by-step explanation:

The ratio of apples to bananas in a bowl of fruit is 2 to3. If there are 12 apples in the bowl, then how many
bananas are there?

Answers

We know that the ratio of apples to bananas is 2 to 3, which can also be written as 2/3.

Let's use a proportion to solve for the number of bananas:

2/3 = 12/x

Here, x represents the number of bananas in the bowl.

To solve for x, we can cross-multiply:

2x = 3 * 12

2x = 36

x = 18

Therefore, there are 18 bananas in the bowl.

Answer:

18 bananas

Step-by-step explanation:

for every 2 apples, there are 3 bananas.

So, if there are 12 apples then the original ratio of number of apples is being multiplied by 6

To prove this, 2 is the original ratio of apples and when 2 is multiplied by 6, you get 12 apples

To ensure the ratio of apples to bananas is the same, you multiply the original ratio of bananas by 3 as well. This leaves us with 18 bananas for every 12 apples (3*6 = 18)

To check if you are correct, you divide both the number of apples and the number of bananas by 6 and you get the original ratio, 2 to 3.

The ratio is essentially the same throughout except when you increase it by a constant ratio, it is no longer simplified but it is the same.

I tried explaining this the best I could and I really hope this made sense and helped!