Solve the following equation for x using inverse operations 7x-15=1

Answers

Answer 1

Answer:

x = [tex]\dfrac{16}{7}[/tex]

Step-by-step explanation:

Equation

7x - 15 = 1 → Move the -15, reversing the sign:

7x = 1 + 15 → Solve the sum:

7x = 16 → We have a fraction:

x = [tex]\dfrac{16}{7}[/tex]

x = 2.28571428571

To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].

Hope this helps!

Good studies!

Answer 2

The solution of the equation for x is;

⇒ x = 16/7

What is an expression?

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

The expression is given as;

7x - 15 = 1

Now, Solve the expression for x by using inverse operations as;

7x - 15 = 1

Since 15 is subtract and inverse of subtraction is addition.

Hence,

Add 15 both side we get;

7x - 15 + 15 = 1 + 15

7x = 16

7 is multiply by x, and inverse of multiplication is divide;

So, Divide by 7 both side;

x = 16/7

Thus, The solution of the equation for x is;

⇒ x = 16/7

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Related Questions

A journalist interviews 123 people after they leave a restaurant and asks them how confident they are that the food is safe.

Answers

Answer:

what do I need to do to answer

Step-by-step explanation:

Why do we study?give me reason

Answers

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

Paul and Seth know that one point on the line

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Answer:

what

Step-by-step explanation:

What is the opposite of the opposite of -1.4?​

Answers

Answer:

-1.4

Step-by-step explanation:

opposite of -1.4 = 1.4

opposite of the opposite of -1.4 = the opposite of 1.4 = -1.4

-1.4 djkendnennd!;&2!;&2!;!2!!;

Which of the following is a true statement about the triangles shown on the graph?

The slope of the smaller triangle is smaller than the slope of the larger triangle
The slope of the larger triangle is larger than the slope of the smaller triangle.
The triangles are congruent triangles.
The slopes of the two triangles are the same.

Answers

The correct statement about the triangles shown in the graph is given as follows:

The slopes of the two triangles are the same.

How to obtain the slope?

Considering a graph, a slope is calculated as the division of the vertical change by the horizontal change.

For the smaller triangle, we have that:

The vertical change is of 2.The horizontal change is of 2.

Hence the slope is of:

m = 2/2

m = 1.

For the larger triangle, we have that:

The vertical change is of 3.The horizontal change is of 3.

Hence the slope is of:

m = 3/3.

m = 1.

Meaning that they have the same slope.

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the first 5 multiples of 18 after 0 are?​

Answers

Answer:

18,36,54,72,90 are first five multiples of 18

Step-by-step explanation:

Answer:

18,36,54,72,90

Step-by-step explanation:

15 tens 7 ones what is the answer?

Answers

Answer:

157

Step-by-step explanation:

Answer:    15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.

Step-by-step explanation: Hopefully this helped!

You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32. You have one bag of each fruit. Each fruit basket must be identical. What is the greatest number of fruit baskets that you can make using all of the fruit? *

Answers

Answer:

4 fruit baskets.

Step-by-step explanation:

Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.

I need to do this assignment but I need help on how to draw it and answer the questions because I am confused on how to do these things. Thank you

Answers

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

PLEASE HELP
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population did NOT wear their school colors?
Here are the answer choices


A.
15%

B.
20%

C.
25%

D.
33%

Answers

Answer:

C.  25% The correct answer is C. 300 divided by 1200 equals 25%.

Step-by-step explanation:

Answer:

B.) 20%

Step-by-step explanation:

First, add 1,200 and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.

What value of a will make the following equation true?

Answers

Answer:

a=16

Step-by-step explanation:

Answer:

A=4

Step-by-step explanation:

At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5

Answers

Answer:

a

Step-by-step explanation:

because there are over half girls and half of 120 is 60 and 75 is over half

The sum of three times a number and seven is 22

Answers

Answer:

3x+7=22

Step-by-step explanation:

three times a number is

[tex]3\times x=3x[/tex]

so the sum of 3x and 7 is 22

[tex]3x+7=22\\\\3x=15\\\\x=5[/tex]

you can leave it here

[tex]3x+7=22[/tex]

if you need the value of x

then

[tex]x=5[/tex]

The price of a technology stock was $9.71 yesterday today the price rose to $9.84 find the percentage increase round your answer to the nearest 10th of a percent

Answers

Answer:

1.34%

Step-by-step explanation:

In order to find the percentage increase between these two prices, we must first find the difference in price. We calculate this by subtracting the final price by the initial price like so...

$9.84 - 9.71 = 0.13

Now we divide the difference by the initial price to find what percentage of the initial price this difference is, since this percentage difference was added to the initial price to get the new and final price point.

0.13 / 9.71 = 0.013388 ... multiply by 100 to get percent value

0.013388 * 100 = 1.3388% or 1.34% rounded.

I need help with a math problem comment if u want i really need help with this

Answers

What is the math problem? I’ll try to answer it

Help with this one please

Answers

Answer:

(3x - 14) (2x - 7)

I hope this helps!

HELP ASAP IT'S AN EMERGENCY​

Answers

I think it’s asa but I’m not positive

Which of the following expressions is equal to 4+3(x-2)?

Answers

Answer:

i believe it is "3x+2"

Explanation:

first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"

i think the answer is 3x + 2

"The intersection of two planes is a line" is a statement that is generally accepted as true, but
cannot be proven to be true. What type of statement is this?
1. defined
2. undefined
3. postulate
4. proof

Answers

Answer:  3. Postulate

A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.

Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and

UW = 52, determine the numerical length of VW.

Answers

Answer:

VW = 36

Step-by-step explanation:

From the question, we are given:

VW = 5x - 4, UV = 2x,

UW = 52

Hence,

UV + VW= UW

2x + 5x - 4 = 52

7x = 52 + 4

7x = 56

x = 56/7

x = 8

VW = 5x - 4,

VW = 5(8) - 4

VW = 40 - 4

VW = 36

1. Let the test statistics Z have a standard normal distribution when H0 is true. Find the p-value for each of the following situations:
a) H1:μ>μ0,z=1.88
b) H1:μ<μ0,z=−2.75
c) H1:μ≠μ0,z=2.88
2. Let the test statistics T have t distribution when H0 is true. Find the p-value for each of the following situations (provide an interval if the exact one cannot be found using a table):
a) H1:μ>μ0,n=16,t=3.733
b) H1:μ<μ0,df=23,t=−2.500
c) H1:μ≠μ0,n=7,t=−2.250

Answers

Answer:

1 a  [tex]p -value = 0.030054[/tex]

1b   [tex]p -value = 0.0029798[/tex]

1c  [tex]p -value = 0.0039768[/tex]  

2a  [tex]p-value = 0.00099966[/tex]

2b  [tex]p-value = 0.00999706[/tex]

2c  [tex]p-value = 0.0654412[/tex]

Step-by-step explanation:

Considering question a

  The alternative hypothesis is H1:μ>μ0

   The test statistics is  z =1.88

Generally from the z-table  the  probability of   z =1.88 for a right tailed test is

    [tex]p -value = P(Z > 1.88) = 0.030054[/tex]

Considering question b

  The alternative hypothesis is H1:μ<μ0

   The test statistics is  z=−2.75

Generally from the z-table  the  probability of   z=−2.75 for a left tailed test is

    [tex]p -value = P(Z < -2.75) = 0.0029798[/tex]

Considering question c

  The alternative hypothesis is H1:μ≠μ0

   The test statistics is  z=2.88

Generally from the z-table  the  probability of  z=2.88 for a right  tailed test is

    [tex]p -value = P(Z >2.88) = 0.0019884[/tex]    

Generally the p-value for the two-tailed test is

    [tex]p -value = 2 * P(Z >2.88) = 2 * 0.0019884[/tex]    

=> [tex]p -value = 0.0039768[/tex]  

Considering question 2a

    The alternative hypothesis is H1:μ>μ0

     The sample size is  n=16

     The  test statistic is  t =  3.733

Generally the degree of freedom is mathematically represented as

        [tex]df = n - 1[/tex]

=>     [tex]df = 16 - 1[/tex]

=>     [tex]df = 15[/tex]

Generally from the t distribution table  the probability of   t =  3.733 at a degree of freedom of  [tex]df = 15[/tex] for a right tailed test is  

       [tex]p-value = t_{3.733 , 15} = 0.00099966[/tex]

Considering question 2b

    The alternative hypothesis is H1:μ<μ0

     The degree of freedom is df=23

     The  test statistic is ,t= −2.500

Generally from the t distribution table  the probability of   t= −2.500 at a degree of freedom of  df=23 for a left  tailed test is  

       [tex]p-value = t_{-2.500 , 23} = 0.00999706[/tex]

Considering question 2c

    The alternative hypothesis is H1:μ≠μ0

     The sample size is  n= 7

     The  test statistic is ,t= −2.2500

Generally the degree of freedom is mathematically represented as

        [tex]df = n - 1[/tex]

=>     [tex]df = 7 - 1[/tex]

=>     [tex]df = 6[/tex]

Generally from the t distribution table  the probability of   t= −2.2500 at a degree of freedom of  [tex]df = 6[/tex] for a left   tailed test is  

       [tex]t_{-2.2500 , 6} = 0.03272060[/tex]

Generally the p-value  for t= −2.2500 for a two tailed test is

     [tex]p-value = 2 * 0.03272060 = 0.0654412[/tex]

The mean and standard deviation of a random sample of n measurements are equal to and ​, respectively. a. Find a ​% confidence interval for if n. b. Find a ​% confidence interval for if n. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

[tex]33.55 <  \mu < 35.5[/tex]

b

[tex]34.03 <  \mu < 34.969 [/tex]

c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  [tex]\= x  =  34.5[/tex]

    The standard deviation is  [tex]s =  3.4[/tex]

Generally given that the confidence level is 95% then the level of significance is  

       [tex]\alpha = (100 -  95)\%[/tex]

=>     [tex]\alpha = 0.05 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{49} }[/tex]

=>   [tex]E =  0.952 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.952 <  p < 34.5 + 0.952[/tex]

=>    [tex]33.55 <  \mu < 35.5[/tex]

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{196} }[/tex]

=>   [tex]E =  0.4687 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.4687 <  p < 34.5 +0.4687[/tex]

=>   [tex]34.03 <  \mu < 34.969 [/tex]

Considering question c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  

if a number contains decimal places then it is an irrational number​

Answers

Answer:

sometimes true

Step-by-step explanation:

In which number is the digit 7 ten times larger than it is in the number 175?

A) 379
B) 607
C) 730
D) 7,513

Answers

Answer:

c 730

Step-by-step explanation:

because the 7 in 730 is one digit to the left

Answer:

C. 730

Step-by-step explanation:

The 7 in the original number is in the tens place. So if you multiply that by 10, the seven moves into the hundreds place.

The set A = {1, 3, 5}. What is a larger set this might be a subset of?

Answers

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

So, the number of maximum subsets we can create from the given set is 8.

Subsets:

The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

Solution: Given, A = {1,2,3,4}

Subsets =

The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

{}

{1}, {2}, {3}, {4},

{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},

{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}

{1,2,3,4}

So, the formula is [tex]2^n[/tex].

The given set is,

[tex]A = \{1, 3, 5\}[/tex]

Here the number of an element is 3.

So, the maximum number of subsets we can create is,

[tex]2^n=2^3=8[/tex]

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The temperature at 6 a.m. was −12°F. At 11 a.m. the temperature was 0°F. Which of the following shows the temperature change from 6 a.m. to 11 am?

Answers

Answer:

+12 degrees

Step-by-step explanation:

You never showed a picture, but im pretty sure this is correct

I hope this helped, please mark Brainliest, thank you!

Playing golf, Mike got a + 2on the first hole and - 2 on the second hole. What is his combined score for the first two holes?

Answers

Answer:

0

Step-by-step explanation:

he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0

Please help with this easy fraction problem <3

Answers

18 + 7/9

14 + 7/8

First, rewrite each fraction in terms of a common denominator. 8 and 9 don't share a common multiple until 8 * 9 = 72, so we have

7/9 = (7/9) • (8/8) = (7 • 8)/(9 • 8) = 56/72

7/8 = (7/8) • (9/9) = (7 • 9)/(8 • 9) = 63/72

Next, write each whole number in terms of fractions with the same denominator. We have

18 • 72 = 1296  ==>  18 = 1296/72

14 • 72 = 1008  ==>  14 = 1008/72

Write each mixed number as an improper fraction:

18 + 7/9 = 1296/72 + 56/72 = (1296 + 56)/72 = 1352/72

14 + 7/8 = 1008/72 + 63/72 = (1008 + 63)/72 = 1071/72

If the backpack and book together weigh 18 + 7/9 pounds, and the backpack without the book weighs 14 + 7/8 pounds, then the book alone weighs the difference, call it b :

b = (18 + 7/9) - (14 + 7/8)

b = 1352/72 - 1071/72

b = (1352 - 1071)/72

b = 281/72

Convert this to a mixed number. 72 • 4 = 288, so 72 • 4 - 7 = 281:

b = (72 • 4 - 7)/72

b = (72 • 4)/72 - 7/72

b = 4 - 7/72

b = (3 + 1) - 7/72

b = 3 + (1 - 7/72)

b = 3 + 65/72

how do I write an equation in standard form with the points (3,3) (0,-3) (2,-3)

Answers

First:
-3-3= -6 2-3=-1
-6/-1=6

Y=6x+b
3=6 x 3
3=18

Subtract both sides by 18

B=-15

Answer= y=6x-15

3x - 5 = 2x + 10
What’s the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

braniest pls

Answer:

x=3

Step-by-step explanation:

-5          +10

              +5=15

+5=0

3x, 2x

+2     -2

5x=15

_      _

x=3

Other Questions
What is the answer to this???? Type the correct answer in the boxin which phishing technique are URLs of the spoofed organization misspelled?anonis a phishing technique in which URLs of the spoofed organization are misspelled 54 equals 9 more than a number $t$ . Which person is fulfilling a personal responsibility?O Louise is voting in an election.O Bruno is organizing a political campaign.O Tamir is attempting to get out of jury duty.O Nora is keeping her promise to attend a work function. The troposphere is______.1.the warmest layer 2.responsible for weather and clouds 3.the coldest layer4.warmed by earths surface 5.the lowest layer What safeguards are in place to ensure that the wealthyand the poor are equally impacted by this legislation?Check all that apply.People cannot furnish a substitute.People cannot pay for their release,People cannot receive a bounty to enlistPeople cannot make money while enlisted,People cannot serve more than one term of service, write an equivalent fraction of 4/5 with the denominater 25 (NEED HELP URGENTLY WILL MARK BRAINLIEST) LutherA. translated the Bible into GermanB. remained celibate until he diedC. believed communion of wine and wafer literally transformed into the bloody andbody of ChristD. became more timid as the Protestant Reformation continuedExplain your answer During 2021, WMC Corporation discovered that its ending inventories reported in its financial statements were misstated by the following material amounts: 2019 understated by $ 124,000 2020 overstated by 154,000 WMC uses a periodic inventory system and the FIFO cost method. Required: 1. Determine the effect of these errors on retained earnings at January 1, 2021, before any adjustments. (Ignore income taxes.) 2. Prepare a journal entry to correct the errors. The level of toluene (a flammable hydrocarbon) in a storage tank may fluctuate between 10 and 400 cm from the top of the tank. since it is impossible to see inside the tank, an open-end manometer with water or mercury as the manometer fluid is to be used to determine the toluene level. one leg of the manometer is attached to the tank 500 cm from the top. a nitrogen blanket at atmospheric pressure is maintained over the tank contents. felder, richard m.; rousseau, ronald w.; bullard, lisa g.. elementary principles of chemical processes, 4th edition (page 81). wiley. kindle edition. how did mesopotamias fertile soil affect the growth of civilizations in the area why do our digestive systems produce separate enzymes to digest proteins, fats, and carbohydrates? PLEASE HURRY WILL GIVE BRAINLIESTClick Oil Basics and use the information to complete this passage that discusses how plastic production affects society.The production of plastics makes life {answer} , so it benefits society. On the other hand, the production of plastics causes air and water {answer} , so it also harms society. write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4. From his studies of Coptic, Champollion knew that the Egyptian word for "sun" was pronounced rah. He wrote down the first two letters of that sound, RA. Next he put a question mark for the unknown middle hieroglyph. Then, at the end, he wrote SS, the sound of the last two hieroglyphs.He studied the combination: RA ? SS. Suddenly he remembered a famous pharaoh whose name appeared in ancient Greek chronicles and also in the Biblical Book of Exodus: Rameses, or Ramesses. Could this be a hieroglyphic representation of Ramesses' name?Based on the excerpt, what detail did Champollion need to conclude that the hieroglyphics might represent Ramessess name?the pronunciation of the Egyptian word for sunthe meaning of the unknown hieroglyphicthe dates that Ramesses ruled Egyptthe part of the Bible in which Ramesses appeared $50 an hour is aA salaryB commissionC wageD pension If Kiran solves the equation for p, which equation would result? Which statement best defines potential enregy?A. Potential energy is stored energy.B. Potential energy is energy that can change over time.C.Potential energy is the energy of motion.D. Potential energy is the type of energy a roller coaster uses. Use the Rydberg Equation to calculate the energy in Joules of the transition between n = 7 and n = 3 for the hydrogen atom. Find the frequency in Hz of this transition if the wavelength is 1000nm. BRAINLIESTWho was responsible for the settlement at Roanoke Island?John SmithJohn CabotSir Walter Raleigh