3. Sophie solved the inequality
as shown. Explain Sophie's error
and give the correct solution to
the inequality.
-5(x - 1) > -7x + 19
-5X - 5 >-7x +19
2x - 5 > 19
2x > 24
X>12

Answers

Answer 1

Answer:

After she distribute the [tex]x[/tex] and [tex]-1[/tex] by [tex]-5[/tex], the after you get [tex]-5x - 5 > -7x + 19[/tex], she put a negative [tex]5[/tex] instead of a positive [tex]5[/tex], and would be written as[tex]-5x + 5 > -7x + 19[/tex].

Step-by-step explanation:

Solve the inequality for the correct solution:

[tex]-5(x - 1) > -7x + 19[/tex]

-Use Distributive Property:

[tex]-5(x - 1) > -7x + 19[/tex]

[tex]-5x + 5 > -7x + 19[/tex]

-Take [tex]7x[/tex] and add it to [tex]-5x[/tex]:

[tex]-5x + 5 + 7x > -7x + 7x + 19[/tex]

[tex]2x + 5 > 19[/tex]

-Subtract [tex]5[/tex] to both sides:

[tex]2x + 5 - 5 > 19 - 5[/tex]

[tex]2x > 14[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} > \frac{14}{2}[/tex]

[tex]\boxed {x > 7}[/tex]


Related Questions

Write the equation of line perpendicular to y = 4 that passes through (5, 2).

Answers

Answer:

x= -5

Step-by-step explanation:

just graphed it . y = 4 is a flat horizontal line.

x=5 is a vertical line that passes through (5,2)

find the average high and low temperature for the week

Answers

Answer:

78 for high and 48 for low, where i live

Step-by-step explanation:

you didnt give a graph or whatever so i put two random answers that arent actually where i live because that doesn't matter and is personal info.

is there more to the question orrrrr

Use the Distributive Property to rewrite each expression. Then evaluate.
7(6-4)

Answers

Answer:

14

Step-by-step explanation:

PEMDAS:

P: Parentheses

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Step 1:

7 ( 6 - 4 )      Equation

Step 2:

7 ( 2 )     Subtract

Answer:

14

Hope This Helps :)

Question 4 (1 point) Phil Dunphy, a real estate agent, is considering whether he should list an unusual $345,584 house for sale. If he lists it, he will need to spend $5,892 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,166. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 33%. What is the expected profit on this listing? Your Answer:

Answers

Answers:

The expected profit on the listing is $2377.14

Step-by-step explanation:

Given that:

The probability of selling the house in 6 months is p = 0.33

The probability of not selling the house = 1 - 0.33 = 0.67

Suppose X represents the profit on the listing;

Then: we can compute the expected profit on the listing as:

E(X) = ($19166 × 0.33) - ($5892 × 0.67)

E(X) = $6324.78 - $3947.64

E(X) = $2377.14

Thus, the expected profit on the listing is $2377.14

Please HELP IF CORRECT I WILL MARK BRAINLYLIST!!!!

Answers

Answer:

they are parallel so same answer, 85 degrees.

45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in hotel altogether?

Answers

Answer:

80

Step-by-step explanation:

Let h = number of rooms in the hotel

45% * h = 36

.45 h = 36

Divide by .45

.45h/.45 = 36/.45

h =80

There are 80 rooms in the hotel

Answer:

80 rooms

Step-by-step explanation:

Step 1:

45/100 = 36/x       Equation

Step 2:

45x = 3600      Multiply

Step 3:

x = 3600 ÷ 45     Divide

Answer:

x = 80

Hope This Helps :)

Help!! I don't get this

Answers

Answer:

55

Step-by-step explanation:

No matter what happens in between, the average rate of change between 2 points of any interval is the slope of the 2 points of the interval.

The 2 points are (-8, -50) and (-6, 60), and we need to find the slope (which, as a reminder, is change in x over change in y):

(60-(-50))/(-6-(-8)) = (110)/(2)=55

Therefore, the average rate of change between the interval -8≤x≤-6 is 55.

calculate the following fractions and leave the answer correct to two decimal places. 3 2/5 - 2 2/3​

Answers

Answer:

0.73

Step-by-step explanation:

3 2/5 = 17/5, 2 2/3 = 8/3

17/5 - 8/3

3/3 x 17/5 = 51/15

5/5 x 8/3 = 40/15

51/15 - 40/15 = 11/15

11/15= 0.73

2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (−1,−1) and (1,3)

A.The rate of change is −1/2.

B.The rate of change is 2.

C.The rate of change is 1/2.

D.The rate of change is −2.

3.The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate of change of the function at 3 hours using the points (0,0) and (5,10)

A.The rate of change is −1/2 of an inch per hour.

B.The rate of change is 1/2 of an inch per hour.

C.The rate of change is 2 inches per hour.

D.The rate of change is −2 inches per hour.

4.The following graph shows the average temperatures in degrees Fahrenheit (°F) over the days of a month. Use the graph to estimate the rate of change of the function at the ninth day of the month using the points (2,55) and (10,65)

A.The rate of change is 0.8 degrees Fahrenheit per day.

B.The rate of change is 1.25 degrees Fahrenheit per day.

C.The rate of change is −0.8 degrees Fahrenheit per day.

D.The rate of change is −1.25 degrees Fahrenheit per day.

5.Use the following graph to answer which of the following points would provide the most accurate estimation for the rate of change of the function as it crosses the y-axis. Explain.

(−0.5, 2)

(0.5, 3)

(−0.5, 3)

(0.5, 1)

A.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.

B.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.

C.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.

D.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.

Answers

Answer:

2. B. The rate of change is 2

3. C. The rate of change is 2 inches per hour

4. B. The rate of change is 1.25 degrees Fahrenheit per day

5. (-0.5, 3) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0

Step-by-step explanation:

2. Using the points (-1, -1) and the (1, 3) we have;

The rate of change = (Change in the y-values)/(Corresponding change in the x-values)

The rate of change = (3 - (-1))/(1 - (-1)) = 4/2 = 2

The rate of change is 2

3. Using the points (0, 0) and the (5, 10) we have;

The rate of change = (Change in the y-values)/(Corresponding change in the x-values)

Given that the function is a linear function, the rate of change of the function at 3 hours is given by the slope, m, as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) = (0, 0)

(x₂, y₂) = (5, 10)

The y-coordinate being the inches of snow, and the x-coordinate being the time in hours, we have;

The rate of change = (10 - 0)/(5 - 0) = 10/5 = 2

The rate of change is 2 inches per hour

4. Given that the function is a linear function, the rate of change of the function at ninth day is given by the slope, m, as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) = (2, 55)

(x₂, y₂) = (10, 65)

The y-coordinate being the temperature in degrees, and the x-coordinate being the time in days, we have;

[tex]Slope, \, m =\dfrac{65-55}{10-2} = \dfrac{10}{8} = 1.25[/tex]

The rate of change is 1.25 degrees Fahrenheit per day

5. The points on the graph of the function that come before and after the point where the graph of the function crosses y-axis (the y-intercept) and are close to point are (-0.5, 2) and (0.5, 3)

Therefore, (-0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0.

What is the discrimination of the quadratic equation 6x^2-9x-8=0

Answers

Answer:

first setup your problem. it should look like this :

of the 250 passengers onthe plane 155 checked there bags rather than carry on what percent of passengers checked their bag?

Answers

Answer:

62

Step-by-step explanation:

62

what values are equivalent to -1/4

Answers

Answer:

-2/8

-3/12

-4/16

-5/20

-6/24

-7/28

-8/32

a great equivulent of -1/4 would be...

(fraction)

-2/8, -4/16, -16/64

(decimiel)

-.25

Question 5 of 19
What is the fractional equivalent of the repeating decimal 0.4 ?
A. 4/99
B. 4/9
C. 2/5
D. 4/100

Answers

the answer is B. 4/9 = 0.444444

Here are the ingredients for your second recipe:

Cinnamon Rolls
makes 12 rolls
-ounce package active dry yeast
1 cup warm water
3 tablespoons molasses
cup powdered milk
1 egg yolk, beaten
1 egg white, beaten
3 cups bread flour, divided
6 tablespoons butter, melted and divided
1 teaspoon salt
cup whole wheat flour
cup granulated sugar
1 tablespoon ground cinnamon
cup raisins
1 large egg, beaten
cup water

You will use the recipe above to answer the following questions:

This recipe makes 12 rolls, but you need to make 30 rolls. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How many ounces of yeast will you need to make 30 rolls?
How many cups of powdered milk will you need to make 30 rolls?
How many tablespoons of butter will you need to make 30 rolls?
How many more cups of bread flour than whole wheat flour will you need to make 30 rolls?

Answers

This is rounded to the nearest 1/8

2 1/2 ounce package active dry yeast

2 1/2 cup warm water

7 1/2 tablespoons molasses

2 1/2 cup powdered milk

2 1/2 egg yolk, beaten

2 1/2 egg white, beaten

7 1/2 cups bread flour, divided

15 tablespoons butter, melted and divided

2 1/2 teaspoon salt

2 1/2 cup whole wheat flour

2 1/2 cup granulated sugar

2 1/2 tablespoon ground cinnamon

2 1/2 cup raisins

2 1/2 large egg, beaten

2 1/2 cup water

Step-by-step explanation:

Divide each ingredient by 12, then multiply by 30 to get your answers.

Rewrite each expression using I

Answers

Just so you know, it has to be written as a lowercase i to represent an imaginary number.

a) 2i
The square root of 4 is 2, the negative under the square root is what makes it imaginary

b) 2i times the square root of 3

c) 5 + (5i times the square root of 2)

d) 3 - (i times the square root of 2)

Answer:

Step-by-step explanation:

a.) ✓-4

✓-1 × ✓4

i×2

2i. Final answer

b.) ✓-12

✓-1 ×✓12

2✓3i

Write a formula that will help Greg determine

how much money he will earn in one week.

Let's let

a = total amount earned

h = hours worked in one week

b = number of bushels picked

Use the curved parentheses 'O', if required.

Do not use other parentheses like '{ }' or '[ ]'.

Answers

Answer:

a = 3h + 2.50b

Step-by-step explanation:

Greg picks apples to make money over the summer. He earns $3 an hour plus $2.50 for each bushel he picks. Write a formula that will help Greg determine how much money he will earn in one week.

Let

a = Total amount earned

h = Hours worked in one week

b = Number of bushels picked

Solution:

Amount earned per hour = $3

Amount earned per bushel picked = $2.50

Total amount earned = (Amount earned per hour) ( Hours worked in one week) + (Amount earned per bushel picked) (Number of bushels picked)

a = 3*h + 2.50*b

= 3h + 2.50b

a = 3h + 2.50b

The total price of a printing job at Incredible Invites includes the cost per invitation plus a one-time set-

up fee. Write equations in point-slope and slope-intercept forms to model the situation. What part of

the equations represents the cost per invitation? Which form is easier to use to find information about

the set-up fee? Explain

Party

வராக

Party

Grud

25

Invitations

$100

50

invitations

$140

75

invitations

$180

100

invitations

$220

Let x be the number of invitations and y be the price of the printing job. The point-slope form of an equation that models the situation is

Answers

Answer:

p1: y-100=1.6(x-25)

p2 y=1.6x+60

p3 slope; 1.60

p4 y intercept, slope intercept form, easier to fine using slope intercept

Step-by-step explanation:

this was for savvas 2.2 practice

The required point slope of the equation is y-100=1.6(x-25) and the slope-intercept equation y = 1.6x + 60 and the slope represents the cost per invitation.

Given that,  
The total price of a printing job at Incredible Invites includes the cost per invitation plus a one-time set-up fee. Write equations in point-slope and slope-intercept forms to model the situation. What part of the equations represents the cost per invitation is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Let the number of invitations be x, and the total cost be y.
Slope-point form of the equation is given by,
(y - y₁) = (y₂ - y₁)/ (x₂ - x₁ ) (x - x₁)
substitute value in the equation,
y - 100 = (140 - 100)/ (50 - 25)(x - 25)
y - 100 = 40 / 25 (x - 25)
y - 100 = 1.6 (x - 25)  - - - - - - (point-slope form)
y = 1.6x - 25 * 1.6 + 100
y = 1.6x - 40 + 100
y = 1.6x + 60 - - - - - (slope-intercept form)
Slope = 1.6

Thus, the required point slope of the equation is y-100=1.6(x-25), and the slope-intercept equation y = 1.6x + 60, and the slope represents the cost per invitation.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Please show all work

Answers

6.2=2.2+x
-2.2 -2.2
——————
4=x

Hope this helps:)

an item is regularly priced at $63. justin bought it at a discount of 45% off the regular price. find out how much justin paid

Answers

Answer:

18$

Step-by-step explanation:

Which of the following expressions are equivalent to a value of -6? Select all that apply.

Answers

Answer:

mention the other options or clip the pic of question

Answer:

what numbers represent the following? i'd take a wild guess and say that one of the right answers is 0/-6? idrk, I'd copy and paste the whole question so we can help you, Have a great day, good luck, and peace out! -Conner

Step-by-step explanation:

Simplify the following equation:
– 4y + 7 + 9y - 3

Answers

Answer:

5y + 4

Step-by-step explanation:

-4y + 7 + 9y - 3

Subtract: 9y - 4y

5y + 7 - 3

Subtract: 7 - 3

5y + 4

Hope this helps and pls do mark me brainliest if you can:)

A library has 300 feet of shelves for books. The library will increase the number of feet of shelves by 18%. Question 1 Part A How many feet of shelves are being added?

Answers

Answer:

54

Step-by-step explanation:

Well, divide 300 by 100, which gets you 3. So 3 feet of book shelves = 1%

So 3x18=54

helpppp meee passssss

Answers

Answer:

17 units

Step-by-step explanation:

count up on the graph and then count right until you reach q

3. Find the zero of (write just the number, If there is no zero, write "none")

Answers

Answer:

it would be in no cause there is a o

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

You can't solve it.

only 16, so you can't input 'x' anywhere

a) Work out (5 x 10°) (9 x 107)
Give your answer in standard form.

Answers

Step-by-step explanation:

(5×10)(9×107)

=48150

=4.82 ×10^4?

I'm not sure^^


4. What is the range of the graph below

Answers

Answer:

R: (Y| E R {-4<=y<=-1})

Step-by-step explanation:

Just look at where the graph is limited to vertically, in this case -1 and -4.

The range of the given graph is [-4,-1] and this can be determined by observing the given graph.

The following steps can be used in order to determine the range of the given graph:

Step 1 - The range is the different values of 'y' at different values of 'x'.

Step 2 - According to the given graph, the maximum value of 'y' is -1.

Step 3 - According to the given graph, the minimum value of 'y' is -4.

Step 4 - So, the range of the given graph is given below:

[tex]-4\leq y\leq -1[/tex]

The range of the given graph is [-4,-1].

For more information, refer to the link given below:

https://brainly.com/question/8041076

Graph f(x) = -0.5.0 +3.

Answers

Answer:

hope this helps

Step-by-step explanation:

what is 3, 145 ÷5
a. 609
b. 621
c. 628
d. 633

.anwserr back asapp pllz​

Answers

Answer:

c. 628

Step-by-step explanation:

3, 145 ÷5 =628

plz mark brainliest

Answer:

The answer is C. 628

pls help mee i need help on this fast

Answers

Answer: 30

Step-by-step explanation:

Thos is simply 6*10/2 which is 30.

On Tuesday, the temperature in Fairfield, Montana fell from 51℉ at noon to −℉ at midnight.What was the average temperature change per hour?

Answers

(-1-51)/12 is your answer
= -4.333 deg F

Negative sign shows decrease in temperature
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