Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.

Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.

Sophia Determined That The Expression Negative (4 X Minus 5) + 2 (x Minus 3) Is Equivalent To 2x 5 By

Answers

Answer 1

Answer:

3

Step-by-step explanation:


Related Questions

f (x) =x2 + 10x + 24.

Answers

Answer:

(-5,-1)

explanation

300 students attend ridewood junior high school 5% of students bring their lunch to school everyday how many students bring their lunch on Thursday ?

Answers

Answer:

300 x .05= 15

..............

What is the experimental probability of rolling a 1

Answers

Answer:

1/6

Step-by-step explanation:

Solve for the variable in 6/18 = x/36

Answers

Answer:

x=28.67

Step-by-step explanation:

6          x

18        36

18x      516

18          18

x=28.67

For what range of checks were checking account a long's bank generate more earnings income then one at fellows bank

Answers

Answer:

Step-by-step explanation:

Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.

5 degrees above zero

3 degrees below zero

6 degrees above zero

2 3/4 degrees below zero

Answers

5 degrees above is 5°F
3 degrees below is -3°F
6 degrees above is 6°F
2 3/4 below is -2.74°F

find the value of given expression

[tex]x = 4 \times 2[/tex]

Answers

Answer:

8

Step-by-step explanation:

[tex]x = 4 \times 2 \\ x = 8[/tex]

Answer:

X=4x 2

x=8

I hope this help you

Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)

Answers

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation

A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?

a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet

Answers

Answer:

d) 100 feet

Step-by-step explanation:

The x value of the vertex (highest point in this case) is found via -b/2a:

-80/-32 = 2.5

Plug 2.5 into the function:

h(2.5) = -16(2.5)² + 80(2.5)

= - 100 + 200 = 100

someone please help me​

Answers

9514 1404 393

Answer:

  C. f(x) = 2(3^x)

Step-by-step explanation:

The y-intercept is the function value when x=0. Your choices are ...

  A. f(0) = 1 +2 = 3

  B. f(0) = 3(1) = 3

  C. f(0) = 2(1) = 2 . . . . . the function of interest

  D. f(0) = 2(1) -2 = 0

What is the slope in this graph?

Answers

Answer:

[tex] \frac{3}{4} x[/tex]

Step-by-step explanation:

because form one corner of the square to the other it goes to the right 3 and Up by 4 so the slope is 3 / 4x

The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?

Answers

*see attachment for diagram

Answer:

x = 20.5 in.

Step-by-step explanation:

What we are requested to find is the height of the panel/parallelogram = x

Area of each panel = base × height = 287 in.²

Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.

Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3

= (50.5 - 2*4.25) ÷ 3

= 42 ÷ 3

Base length of each panel = 14 in.

✔️Next is to find the height of the panel, x.

area of parallelogram = base × height

Base = 14 in.

height = x

Area = 287 in.²

Plug in the values

287 = 14 × x

287 = 14x

Divide both sides by 14

287/14 = x

20.5 = x

x = 20.5 in.

Wyatt and his little sister are saving up money to buy a joint birthday present for their mother. Wyatt already has $20 saved and plans to save $7 per week from his allowance. His sister has $14 saved so far and will save $9 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How much will each one have saved? How long will that take?

Answers

Answer:

The two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = [tex]\$41[/tex]

Amount saved by Wyatt's sister = [tex]\$41[/tex]

Step-by-step explanation:

Let [tex]t[/tex] (in weeks) denotes the time period by which  the two siblings will have saved the same amount towards their mother's gift.

Wyatt already has $20 saved and plans to save $7 per week from his allowance.

Amount saved by Wyatt = [tex]20+7t[/tex]

Wyatt's sister has $14 saved so far and will save $9 per week from hers.

Amount saved by Wyatt's sister = [tex]14+9t[/tex]

To find the time period by which the two siblings will have saved the same amount towards their mother's gift,

solve the following equation.

[tex]20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t[/tex]

So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = [tex]20+7(3)=20+21=\$41[/tex]

Amount saved by Wyatt's sister = [tex]14+9(3)=14+27=\$41[/tex]

The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?

A. y = 2x + 4
B. y = -4x - 2
C. y = -4x + 2
D. y = 2x - 4

Answers

Your answer would be D

help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?​

Answers

Answer:

401(k) plan

Step-by-step explanation:

The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

7 less than twice a number is greater than 19

Answers

Answer:

Step-by-step explanation:

if the number is x

2x - 7 greater than 19

= 2x greater than 26

Which exponential function matches the table?

Answers

Answer:

B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex]

Step-by-step explanation:

If you substitute 0 and 1 into each given exponential function. The first, second and fourth value with 0 substituted will give 27 as such, so we can eliminate the third exponential function. But, if you substitute 1 into all of the remaining possible exponential functions, the only function that will give you 9, when x = 1 is substituted, is B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex].

I hope this helps you!! ^-^

I NEED HELPPPP!!!!!!! PLEASEEEEE!!!

Answers

for number one, the mean would be 45 minutes

for number 9, he wants to use the number of minutes that occurred most often as that is the definition of mode

please mark branliest it’d be appreciated ♡

The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.

Answers

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?

Answers

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

733 times 60 and work it out on your asnwcer plzz

Answers

Answer:

733 x 60 = 43,980.

Step-by-step explanation:

Another way to do this equation is by adding 733 by itself 60 times.

Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Answers

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

what's the surface area ratio & the volume ratio??

please help me ASAP!!

Answers

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]

2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]

3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]

Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]

                         [tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]

                         [tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]

                         [tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]

                        [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

                                      ≈ 6 : 7

Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]

                                                   = [tex]\frac{36}{49}[/tex]

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]

                                                             = [tex]\frac{216}{343}[/tex]

                                                             ≈ 216 : 343

A die is rolled 30 times. How many times can you expect it to land on a number less than 5?

Answers

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

solve 4(3r + 4) - 6(r + 1) =22

Answers

Answer:

r = 2

Step-by-step explanation:

4(3r + 4) - 6(r + 1) =22

12r + 16 - 6r - 6 = 22

6r = 12

r = 2

Somebody help me plzz

Answers

Answer:

60

Step-by-step explanation:

straight line =180

180-120=60

60 thats all it is ...

PLEASE HELP DUE SOON!! WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!
Rewrite without absolute value:
y=|x-3|+|x+2|-|x-5|, if -2

Answers

Answer:

y=2, y=12

Step-by-step explanation:

y = |-2-3|+|-2+2|-|-2+5|

y = 5+0-3

y=2

or you can try

y=12

Help me y'all i really need help

Answers

Answer:

that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D

Step-by-step explanation:

What two numbers have a sum of 13 and a product of -30 ?

Answers

Answer:

Check pdf

Step-by-step explanation:

A man’s estate is valued at $150,000. It is to be divided so that his wife receives twice as much as his son. How much does his son inherit? A. $5,000 B. $50,000 C. $75,000 D. $100,000

Answers

Answer:

B is the answer

Step-by-step explanation:

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