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.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the number is x

2x - 7 greater than 19

= 2x greater than 26

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:

Answer:

r = 2

Step-by-step explanation:

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

12r + 16 - 6r - 6 = 22

6r = 12

r = 2

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]

Answer:

60

Step-by-step explanation:

straight line =180

180-120=60

Answer:

1/6

Step-by-step explanation:

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

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

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!! ^-^

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 ♡

Answer:

Check pdf

Step-by-step explanation:

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

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation

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

Answer:

(-5,-1)

explanation

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:

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

*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.

Answer:

300 x .05= 15

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

Your answer would be D

Answer:

x=28.67

Step-by-step explanation:

6          x

18        36

18x      516

18          18

x=28.67

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

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

Answer:

B is the answer

Step-by-step explanation:

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 = $

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

Answer:

733 x 60 = 43,980.

Step-by-step explanation:

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

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