-61 times the difference between a number and 56 is equal to the number plus – 28.
Solve the equation for z. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.​

Answers

Answer 1

Answer:

1722/31 or 55.55

Step-by-step explanation:

We need to write an equation.

-61( z - 56 ) = z - 28

-61z + 3416 = z - 28

-61z + 61z + 3416 = z + 61z - 28

3416 = 62z - 28

3416 + 28 = 62z - 28 + 28

3444 = 62z

3444/62 = 62z/62

3444/62 = z

Since 3444/62 isn't a whole number let's reduce

3444/2 = 1722        62/2 = 31

1722/31 is our reduced fraction

Plug it into a calculator 55.5483 but rounded to two decimal places is 55.55


Related Questions

Help please Thanks homework help

Answers

Answer:

30

Step-by-step explanation:

3x+x=4x

40+20=60

180-60=120

120/4=30

[tex]0.05x^{2}[/tex]how do i evaluate 0.05

Answers

You divide 0.05 by two

PLZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!

Answers

Answer:

A. Graph B

Step-by-step explanation:

The reasoning is because the 2 lines are parallel; therefore, it is impossible for them to overlap or intersect, which is the only way a solution can be found. Parallel lines can never have a solution. Hope this helped!

Should be graph b as the answer

People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)

Answers

Answer:

230.4

Step-by-step explanation:

11,979 divided by 52 is 230.365384615.

230.365384615 Rounded gets the answer

The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph? It's on TTM.

Answers

Answer:A

Step-by-step explanation:

Jack picks 5 pounds of apples in 8 minutes. Jill picks 6 pounds of apples in 10 minutes. Working together at these rates, how many pounds of apples will they pick in 40 minutes?

Answers

jill will pick up 24 and jack will pick up 25

2x² - (5 + 2x) + 6x²

Answers

Answer: 8x^2-2x-5

Step-by-step explanation:

The answer is 8x^2-2x-5

Please help :) which angles are supplementary

Answers

Answer:

The first one BED and DEA. AEC and BEC.

Step-by-step explanation:

Supplementary angles are 2 angles that when added equals 180. Also, if there are no numbers given, the 2 angles should make a straight line when next to each other.

simplify the expression

Answers

Answer:

[tex]\sqrt[3]{215}[/tex]

Decimal Form: 5.99072641

Look down for explanation

Step-by-step explanation:

[tex]\sqrt[3]{215}[/tex]

You have to simplify.

[tex]= \sqrt[3]{215}[/tex].

Decimal Form: 5.99072641

Now you have the answer to your question!

Hope this helps!

What number divided by 9 is greater than 700?

Answers

Answer:

Any number greater than 6,300

Step-by-step explanation:

c.
A train is traveling 1 mile every 75 seconds. If the train continues at this rate, then how
far will it travel in two hours?

Answers

Answer:

96 miles.

Step-by-step explanation:

2 hours = 2*60*60 = 7200 seconds.

So the required distance = 7200/75

= 96 miles.

Answer:

96 miles

Step-by-step explanation:

i did this a few months ago (coincidence I think not)

The last one Please answer asap im still crying

Answers

Answer:

He has 12 ten dollar bills

Step-by-step explanation:

Let t = number of 10 dollar bills

f = number of fifty dollar bills

t+f = 25  since he has 25 bills

solving for f

f = 25 -t

Then we know he has 770 dollars

10t+50f = 770

Using f = 25-t in the above equation

10t + 50 ( 25-t) = 770

Distribute

10t+ 1250 - 50t = 770

Combine like terms

-40t+1250 = 770

subtract 1250 from each side

-40t - 1250-1250 = 770-1250

-40t = -480

divide each side by -40

-40t/-40 = -480/-40

t =12

He has 12 ten dollar bills

A refrigerator sells for $1201. If the sales tax rate is 6.8%, what is the total price that you would pay for the fridge?

Answers

The answer is $1282.66

Explanation:

The sales tax rate (in this case 6.8%) is paid as part of selling a product. Also, to find the final price of a product, find the tax rate (percentage) of the price of the product and add this number to the price. The process to know the final price of the fridge is shown below:

1. Determine the 6.8% of $1201

 1.1. Write the values

1201  = 100  

 x     =  6.8

 1.2. Cross multiply and solve the equation

x100 = 8166

x= 8166 ÷ 100

x = 81.66

2. Add this value to the original price

$1201 + $ 81.66 = $1282.66 (Total price including the sales tax)

What is 910 in scientific notation?

Answers

Answer:

9.1 x 10²

Step-by-step explanation:

A scientist creates a colony of bacteria in a dish. This type of
bacteria duplicates itself per minute.
If at 9am the experiment started with a single cell and at 9:13
the dish was half-full, at what time will the dish be full?

Answers

Answer: 9:14

Step-by-step explanation: So if he started if 1 bacteria, it becomes 2 bacteria at 9:01, etc. So at 9:13, it is 2^13 and if that is half, that means 2^14 is when it is full so 9:14.

The dish will be full at  9:14 am.

Given, the bacteria duplicates itself per minute.

The experiment started with a single cell at 9 am and at 9:13 am the dish was half full.

So it is clear that after 13 minutes of experiment started the dish was half full.

Now, let here is only 1 bacteria in the dish which is duplicating per minute,so after 1 minute it becomes 2 after that it becomes 4 and after that it becomes 8. Hence it is clear from the example the bacteria doubles itself in powers of her minute. ([tex]2^x[/tex])  here x is the number of minute.

Since after 13 minutes the dish was half full, it means there are [tex]2^{13}[/tex] bacteria in the dish. hence the full dish is [tex]2^{14}[/tex] bacteria. so the bacteria will take 1 more minute for the dish to be full.

Hence at 9:14 am the dish was full.

For more details follow the link:

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Please help me with my homework :(

Answers

13. -5/6

14. -7/8

15 -7/10

Step-by-step explanation:

The difference between a number x and 17 is 22

Answers

Answer:

X-17=22

X=22+17

X=39 this is the answer

Plz help would the answer be -30

Answers

Answer:

Yes

Step-by-step explanation:

-27+(-3) can be simplified to -27-3

-27-3= -30

Answer: Yes you are correct. The answer is -30

Explanation:

We are adding 2 negatives. So we effectively add the positive versions of each number, and then make the result negative.

You can think of it in terms of money: you start off 27 dollars in debt and then borrow 3 more dollars to be a total of 27+3 = 30 dollars in debt.

Or you can think of it like you're under the ocean. Writing -27 could mean you're 27 feet below sea level. Adding on -3, ie subtracting 3, would then move you down 3 feet to get to 27+3 = 30 feet below sea level.

What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x= 3
B. x = 8
C. x = 12
D. x = 21​

Answers

Answer:

21

Step-by-step explanation:

5x-3x=18+15-9

2x=42 /:2

x=21

Find the inverse of the function: f ( x ) = 1 5 x + 4 Group of answer choices f − 1 ( x ) = 4 x − 5 f − 1 ( x ) = − 5 x − 4 f − 1 ( x ) = x − 4

Answers

Answer:

D

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{1}{5}x+4[/tex]

To find the inverse, simply switch x and f(x), change f(x) to f⁻¹(x), and solve for it. Thus:

[tex]x=\frac{1}{5}f^{-1}(x)+4[/tex]

Subtract 4 from both sides:

[tex]x-4=\frac{1}{5}f^{-1}(x)[/tex]

Multiply both sides by 5:

[tex]f^{-1}(x)=5x-20[/tex]

So that's our inverse :)

So, our answer is D

Answer:

D

Step-by-step explanation:

Identify the property of equality that makes Equation 1 and Equation 2 equivalent.
Equation 1
4.2x – 1.5 = 1.7x + 8.3
Equation 2
42x - 15 = 17x + 83

Answers

multiplicative property if equality. explanation: you’re just multiplying by 10.

We use the multiplicative property of equality to make Equation 1 and Equation 2 equivalent.

Given,

Equation 1 - 4.2x – 1.5 = 1.7x + 8.3

Equation 2 - 42x - 15 = 17x + 83

We have to Identify the property of equality that makes Equation 1 and Equation 2 equivalent.

We have,

Equation 1 - 4.2x – 1.5 = 1.7x + 8.3

Equation 2 - 42x - 15 = 17x + 83

If we multiply 10 on both sides of the equation, we get

10 (4.2x – 1.5)  = 10 (1.7x + 8.3)

10 x 4.2x - 10 x 1.5 = 10 x 1.7x + 10 x 8.3

42x - 15 = 17x + 8.3

We get,

42x - 15 = 17x + 8.3 which is equivalent to equation 2.

This property is called the multiplicative property of equality.

Thus we use the multiplicative property of equality to make Equation 1 and Equation 2 equivalent.

Learn more about the properties of equality here:

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Add 15,7,.5 step by step please I'll mark u brainlest PLEASE

Answers

Answer:

27

Step-by-step explanation:

15+5=20

20+7=27

Answer: 27

Step-by-step explanation:

15+5=20

20+7=27

What type of number is pie/2 ?

Answers

Answer:

its a irrational number

A chemist has 42 grams of aluminum. There are for aluminum. How many milliliters of aluminum does the chemist have?

Answers

Answer:

4,200 g. of aluminum

Step-by-step explanation:

42x100=4,200

The 42 grams of aluminum implies that the chemist has 0.06429ml of aluminum

How to determine the amount of aluminum?

The mass is given as:

Mass = 42 grams

The density of aluminum is:

Density = 2.7 g/cm³

So, we have:

Volume = Density/Mass

This gives

Volume = 2.7/42

Evaluate

Volume = 0.06429cm³

Convert to ml

Volume = 0.06429ml

Hence, the chemist has 0.06429ml of aluminum

Read more about density at:

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[easy points] what is the verbal expression to this equation

Answers

Answer:

b

Step-by-step explanation:

BECAUSE x-25 = 3

shows something mines 25 that equals 3

you are playing an online game with your friend and they are on level four. You are on level 6 and can beat, on average, four levels per hour. if your friend can beat five levels per hour, how many hours will it take for you and your friend to be on the same level?​

Answers

Answer:

2 hours

Step-by-step explanation:

at one hour, you would be on lvl 10 and he would be on lvl 9, at 2 hour you would be on lvl 14, and he would be on lvl 14.

The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe reduced picture?

Answers

Answer:

The answer is 3.825 inches, the reduced picture will be 84% of the size of the original

Answer:

3.78 inches

Step-by-step explanation:

if the original length is 4.5 and we are making it 84 percent of that size we multiply 4.5 times 84 percent(that is 0.84).

If we type in 4.5 * 0.84 on a calculator the answer comes back as 3.78

so the answer is 3.78 inches

Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends’ houses. 5 km 11 km 18 km to 10 min 15 min 20 min. Is the time it takes Timothy to drive to his friends’ houses proportional to the distance

Answers

Answer:

No

Step-by-step explanation:

The time it takes Timothy to drive to his friends' houses is not proportional. This is because when going to the first house, he is going at 4km per minute, but when visiting the second and third houses he is no longer traveling at that speed.

In a directly proportional relationship, increasing one variable will increase another. The given relationship is not proportional.

What is the directly proportional and inversely proportional relationship?

In a directly proportional relationship, increasing one variable will increase another.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

Inversely proportional relationship increasing one variable will decrease the other variable if both are inversely proportional.

This directly proportional relationship between p and q is written as

p∝1/q where that middle sign is the sign of proportionality.

Given that the table shows the distance and time it takes him to drive to each of his friends’ houses.

Now, to know if the time it takes Timothy to drive to his friends’ houses proportional to the distance, find the ratio of distance to time for each row. Therefore, the ratios can be written as,

R₁ = 5km / 10 min = 0.5 km per min

R₂ = 11 km / 15 min = 0.7334 km per min

R₃ = 18 km / 20 min = 0.9 km per min

Since the ratio of distance and time in different cases is different, therefore, the given relationship is not proportional.

Learn more about Directly and Inversely proportional relationships:

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Evaluate the expression if x = 3, y = 4 and z = 5. 6y - 2xy​

Answers

Answer:

the answer is 0

Step-by-step explanation:

6 (4) -2 (3)(4)

24-24=0

Identify the pair of angles shown in the figure. Linear pair Vertical Supplementary Complementary

Answers

Answer:

Complementary angles

Step-by-step explanation:

The sum of the 2 angles = 27° + 63° = 90°

This is the definition of Complementary angles

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