-43 times the difference between a number and 74 is equal to the number plus - 64.​

Answers

Answer 1

Answer: -43( n - 74) = n + (-64)

Step-by-step explanation:

The statement can be represented by the equation

-43( n - 74) = n + (-64)  where n is the number

Answer 2

Answer:

[tex]\huge\boxed{-43(n-74)=n+(-64)}\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]

Step-by-step explanation:

[tex]n-\text{a number}\\\\\text{the difference between a number and 74}:\ n-74\\\\\text{-43 times the difference between a number and 74}:\ -43(n-74)\\\\\text{the number plus - 64:}\ n+(-64)\\\\\text{The equation}:\\\\-43(n-74)=n+(-64)[/tex]

[tex]solution[/tex]

[tex]-43(n-74)=n+(-64)\qquad/\text{use the distributive property}\\\\(-43)(n)+(-43)(-74)=n-64\\\\-43n+3182=n-64\qquad/\text{subtract 3182 from both sides}\\\\-43n=n-3246\qquad/\text{subtract}\ n\ \text{from both sides}\\\\-44n=-3246\qquad/\text{divide both sides by (-44)}\\\\n=\dfrac{-3246}{-44}\\\\n=\dfrac{3246:2}{44:2}\\\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]


Related Questions

n f(x) = 2x , x=5. What is the value of the function?

Answers

plug the 5 into the x in the equation 2x. it should be 2(5) which equals 10.

Felicity put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be $175. After 9 months how much will she have paid for the car? (Consider ALL the money she has paid so far.) *

Answers

Answer:

After 9 months she would have paid $2,375

Step-by-step explanation:

All you really need to do is multiply 175 by 9, giving you 1,575, and then add the original $800 down payment.

idfwuomg1 5000+25000

Answers

Answer:

40,000

Step-by-step explanation:

15000+25000=40000

Answer: 40,000

Step-by-step explanation:

25,000 + 15,000 = 40,000

Hope this helps

Plz mark brainliest

Translate each phrase to an algebraic expression. (a) the product of 7 and d, decreased by 16 (b) the product of 7 and d decreased by 16

Answers

Answer:

a) 7d - 16b) 7(d - 16)

Step-by-step explanation:

Question A:

Step 1. The product of 7 and d is = 7d.

Step 2. Then the next part is separated by a comma.

Step 3. This leads to the influence of the idea that 7d is subtracted by 16.

Step 4. This concludes that the answer is 7d - 16.

Question B:

Step 1: The product of 7 concludes that 7 is alone.

Step 2: The separation of and shows that the part after and is together.

Step 3: If it is together, we can conclude it goes in parentheses.

Step 4: If it is in parentheses, it means the number 7 is being distributed.

Step 5: This concludes the answer is 7(d - 16).

Hope this helped,

Kavitha

The figures below are rectangles. Which polynomial represents the area of the shaded region? HAVE ALL MY POINTS but answer truthfully cause i have the answer choices

Answers

Answer:

[tex] 7x - 1 [/tex]

Step-by-step explanation:

Area of the shaded region = area of the large rectangular - area of the small rectangle

Area of rectangle is given as l*w

Area of the large rectangle = [tex] l*w = (x + 5)(x - 1) [/tex]

Expand

[tex] = x(x - 1) +5(x - 1) [/tex]

[tex] = x^2 - x + 5x - 5 [/tex]

Area of large rectangle [tex] = x^2 + 4x - 5 [/tex]

Area of small rectangle = [tex] l*w = (x + 1)(x - 4) [/tex]

[tex] = x(x - 4) +1(x - 4) [/tex]

[tex] = x^2 - 4x + x - 4 [/tex]

Area of small rectangle = [tex] = x^2 - 3x - 4 [/tex]

Area of shaded region = [tex] (x^2 + 4x - 5) - (x^2 - 3x - 4) [/tex]

[tex] = x^2 + 4x - 5 - x^2 + 3x + 4 [/tex]

Collect like terms

[tex] = x^2 - x^2 + 4x + 3x - 5 + 4 [/tex]

[tex] = 7x - 1 [/tex]

if PN=29cm and MN=13 , then PM=?

Answers

*see attachment for the figure referred to

Answer/Step-by-step explanation:

1. PN = 29

MN = 13

PM = ?

[tex] PN = PM + MN [/tex] (Segment addition postulate)

[tex] PN - MN = PM [/tex] (subtract MN from each side)

[tex] 29 - 13 = PM [/tex] (substitute)

[tex] 16 = PM [/tex]

[tex] PM = 16 cm [/tex]

2. PN = 34, MN = 19, PM = ?

[tex] PN = PM + MN [/tex] (sediment addition postulate)

[tex] PN - MN = PM [/tex] (subtract MN from each side)

[tex] 34 - 19 = PM [/tex] (substitute)

[tex] 15 = PM [/tex]

[tex] PM = 15 cm [/tex]

3. PM = 19, MN = 23, PN = ?

[tex] PN = PM + MN [/tex] (Segment addition postulate)

[tex] PN = 19 + 23 [/tex] (substitute)

[tex] PN = 42 cm [/tex]

4. MN = 82, PN = 105, PM = ?

[tex] PN = PM + MN [/tex] (segment addition postulate)

[tex] PN - MN = PM [/tex] (subtract MN from each side)

[tex] 105 - 82 = PM [/tex] (substitute)

[tex] 23 = PM [/tex]

[tex] PM = 23 cm [/tex]

5. PM = 100, MN = 100, PN = ?

[tex] PN = PM + MN [/tex] (Segment addition postulate)

[tex] PN = 100 + 100 [/tex] (substitute)

[tex] PN = 200 cm [/tex]

Pls help me answer word problems about polynomials
Thank you!!!

Answers

hmmm i can’t really see its kinda blurry sorry

What’s the difference between evaluating an expression for a given value of a variable and solving an equation?

Answers

The difference is that evaluating an expression for a given value is an example of let’s say In a example, the variable x is equal to 6 since 6 + 6 = 12. So it means that they are giving you the input already. SOLVING an equation is working backwards, to undo everything that has been done to the input. So you have to do the equation in order to find your answer.

The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1. If PS = 14, find PR.​

Answers

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 =  2

              ------------

                   14

PR = PQ + QR

PR = 8 + 4

PR = 12

The length of the line segment PR is 12 units.

What is a line segment ?

A line segment is a subset of a line which has two endpoints.

According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.

Assuming PQ = 4x, QR = 2x and RS = x.

We know PQ + QR + RS = PS.

∴ 4x + 2x + x = 14.

7x = 14.

x = 2.

PR = PQ + QR.

PR = 4(2) + 2(2).

PR = 8 + 4.

PR = 12.

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A group of 6 students is surveying their classmates to get feedback about different clubs they're involved in. If each surveys more than 2 of their classmates, the total number of completed surveys, s(x), is given by the equation s(x)=6x. What could be the domain of this function?

Answers

Answer:

The domain would be given by D = {X ≥ 2} X = [2, Z]. Since the variable Z is the number of children in the school. And the 6 children should not survey the same person, it would be Z / 6 for each interviewer.

Step-by-step explanation:

- If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.

And since the maximum number of students in the school is given by the variable of Z, then Z is the number with which the domain closes.

The rank would be given by the set of [2, Z]

Z / 6 being the maximum number of children surveyed by 1 interviewer.

The Domain of given function is, [tex]x\geq 2[/tex]

The Domain of function is defined as, all input values for which function is defined.

 The total number of completed survey is given by a function,

                        [tex]s(x)=6x[/tex]

Since, If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.

It means value of x is always greater and equal to 2.

                        So that,   [tex]x\geq 2[/tex]

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What is the value of 3 1/3 divided by 2/3

Answers

Answer: 5

Step-by-step explanation:

The required value of 3 1/3 divided by 2/3 is 5.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have to determine the value of 3 1/3 divided by 2/3.

As per the question,

⇒ 3 1/3 ÷ 2/3

Convert the mixed numbers to fractions,

⇒ 10/3 ÷ 2/3

⇒ (10/3)/(2/3)

⇒ 10/2

Apply the division operation, and we get

⇒ 5

Thus, the required value of 3 1/3 divided by 2/3 is 5.

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Problem 1
1.a. Use addition or subtraction to rewrite the equation.
13 POINTS

Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer

Answers

Answer:

7x = -14x = -2

Step-by-step explanation:

1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...

  7x -3 +3 = -17 +3

  7x = -14

__

2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...

  7x/7 = -14/7

  x = -2

_____

Additional comment

Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:

  7x -3 -95 = -17 -95   ⇒   7x -98 = -112 . . . . . subtract 95 from both sides

  12(7x -98) = 12(-112)   ⇒   84x -1176 = -1344 . . . . multiply both sides by 12

The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.

 

How you solve
-9+[b-8]=-5

Answers

your answer is B= 12 your welcome :)

A news outlet reported that fifty million Americans visited online retail sites on Black Friday, representing an increase of 35 percent versus a year ago. How many Americans visited online retail sites on Black Friday last year?​

Answers

Answer:

37 million and 37037

Step-by-step explanation:

GivenCurrent year online retail site visitors = 50 millionPrevious year online retail site visitors = xThe difference = 35% increase from previous yearSolutionx + 35% = 50 millionx*1.35 = 50 millionx = 50 million /1.35 x = 37 million and 37037

37 million and 37037 Americans visited online retail sites on Black Friday last year

What is the answer to 2log3(x)=4?

Answers

Answer:

x ≈ 4.19180

Step-by-step explanation:

[tex]2 log 3(x) = 4[/tex]

[tex]2 log(3)(x) = 4[/tex]

Divide both sides by 2log (3) to isolate x by itself

[tex]\frac{2log(3)(x)}{2log(3)} = \frac{4}{2log(3)}[/tex]

[tex]x = \frac{4}{2log(3)}[/tex]

or x ≈ 4.19180

using a calculator you can write the answer as a rounded number

Please Answer I will make you brainiest Could you please also explain I don't get it :(

Answers

Answer:

C, 2.15

Step-by-step explanation:

Arabian Plate: 1.29x10^-4 = .000129

African Plate: 6x10^-5 = .000006

Once you've converted both into standard form, divide them to find the difference.

.000129/.000006 = 2.15

Write 75% as a decimal

Answers

Answer:

0.75

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

type in calculator

Convert 2.7 miles to yards.

Answers

Answer:

the answer is 4752

Step-by-step explanation:

*please give me brainliest, i only need four more*

Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.

Answers

Answer:

The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).

Step-by-step explanation:

Enjoy

The remaining charge on the group of 4 atoms would be -

q(+) = + 12e.

What are electrons?The electron is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no known components or substructure.

Given is that three electrons are removed from each of 4 atoms

Now, the total electrons lost will be = 3 x 4 = 12 electrons.

The remaining charge on the group of 4 atoms would be -

q(+) = + 12e

Therefore, the remaining charge on the group of 4 atoms would be -

q(+) = + 12e.

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which expression is equivalent to the given expression? (1/7x+6)-(4/7x+3)

Answers

Answer:

-2/7x+3

Step-by-step explanation:

1/7x+6-4/7x-3

-3/7x+3

Please help me on this one!

Answers

Answer:

-1/2

Step-by-step explanation:

The slope of a line parallel is to another line is the same.

So the line in the picture has a slope of -1/2, and since the other line is parallel to the first one, its slope is also -1/2

The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of the line of best fit. About how many guests will visit the pool when the temperature is 85°F?

Answers

Answer:

A) 26 guests

Step-by-step explanation:

I just took the quiz on edge

Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already
gone while asleep. How much of the entire trip home was Samuel asleep?
Help with diagram please

Answers

Answer:

Samuel slept for 1/4 of the distance.

Step-by-step explanation:

The information provided are:

Samuel fell asleep halfway home.He didn't wake up until he still had half as far to go as he had already gone while asleep.

Consider that the total distance covered was 1.

Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.

It is provided that he woke up only after covering half of the remaining distance.

That is, he slept for 1/4 of the remaining distance.

Thus, Samuel was asleep for 1/4th of the entire trip home.

Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.

Answers

Answer:

943,281

Step-by-step explanation:

Just move the 3 up a value

If it's in the ten's place, then move it to the hundred's place value.

If it's in the hundred's place, then move it to thousand's place value.

So on and so on...

The number is 943,281.

What is place value?

Place value is the value of each digit in a number. The value of every digit in a number is different based upon its position. A number might have two similar digits but different values, which is decided by the position that the digit holds in the number.

Place value is the value of a digit according to its position in the number such as ones, tens, hundreds, and so on.

For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.

Given:

digit 3 is 10 times as much as the value of the digit 3 in 942381

Here the digit 3 is at hundred place value.

Then, after 10 times the place value be at thousand.

hence, the number would be 943,281.

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Solve the equation for x. x3 = 64

Answers

Answer:

4 is correct answer

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

thanks!

Answer:

[tex] \tt {x}^{3} \: = \: 64[/tex]

[tex]\tt x \: = \: \sqrt[3]{64} [/tex]

[tex]\tt x \: = \: \sqrt{4 \times 4 \times 4} [/tex]

[tex] \underline {\boxed{ \tt x \: = \: 4}}[/tex]

Find the difference. You may find using a number line to be helpful. Simplify your answer.
1/3
- (- 8/3)


Answers

Answer:

3

Step-by-step explanation:

how do I get every number from 1-20 using only four four's. Please this is due Monday. I'll make it worth more points too just... help

Answers

Answer:

go 4+4+4+4+4       4x5 its a simple answer i took this 4 years ago

Step-by-step explanation:

4

4

4

4

4

4x5=20

What is the place value of the digit 9 in 45.93

Answers

The correct answer is

tenths

Answer:

Thousandth

Step-by-step explanation:

Find the inverse of y = x^2+5

Answers

To find the inverse, interchange the variables and solve for
y
y
.
f

1
(
x
)
=

x

5
,


x

5

Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed. Which explains whether Marcy should agree with Jorge's inductive reasoning.

Answers

Complete question is;

Consider the sequence shown: A, E, I … Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed letter. Which explains whether Marcy should agree with Jorge’s inductive reasoning?

A. No; the sequence could be listing the vowels in alphabetical order.

B. No; sequences with only three terms are too short to use to find patterns.

C. Yes; this is the only reasonable pattern that can be identified from the terms.

D. Yes; inductive reasoning is a valid method for determining terms of a sequence

Answer:

Options C and D are the correct reasons why Marcy should agree with Jorge.

Step-by-step explanation:

A) It's wrong because the alphabets don't have to be listed in alphabetical order.

B) It's wrong because sequence can take any form. It could be 2 terms used to find patterns. It does not matter.

C) This is correct because after letter A, the next 3 letters which are B, C, D were skipped before E. Also, after E, the next 3 letters were skipped which are E, F, G before I. Thus, it's the only reasonable pattern from the terms to find the next term.

D) Inductive reasoning is based on observing patterns in a sequence, which we can use to decide the next successive terms of such a sequence. Thus, this is true because inductive reasoning is a valid method.

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