9 Four students were asked to write an expression that is
equivalent to 8x - 20. The students' names and the
expressions they wrote are shown in the table.
Student
Ali
Craig
Ester
Expression
-4(2x + 5)
4(2x - 5)
-2(-4x + 10)
2(4x - 10)
Lisa
a. Which student(s) wrote correct expressions?
b. For each incorrect expression, explain what the
student did to get his or her answer.

Final answer:

To find an equivalent length for a wooden board that is 3 yards and 1 foot long, you convert yards to feet, using the fact that 1 yard equals 3 feet, and then add any remaining feet. The board is therefore 10 feet long in total.

Explanation:

Converting Yards to Feet:

A wooden board is 3 yards and 1 foot long. To find an equivalent length, we need to convert yards to feet because there are 3 feet in 1 yard. The calculation goes as follows:

 First, we know that 1 yard equals 3 feet.

 To convert 3 yards to feet, we multiply by 3: 3 yards × 3 feet/yard = 9 feet.

 Next, we add the extra foot: 9 feet + 1 foot = 10 feet.

 Therefore, the board is 10 feet long in total.

This process involves using equalities and conversion factors to change one unit of measurement to another while maintaining the same quantity.

Answer:

C: -4 ≤ x ≤ -3

Step-by-step explanation:

-8x + 3 ≥ 27

x ≤ -3

-13x + 5 ≥ 57

x ≤-4

It’s A y’all mad goofy for choosing C

X < -4

Answer:

100 times bigger

Step-by-step explanation:

Answer:

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.

Total distance covered by the man in terms of 'x' = (12.5x-285)miles

Step-by-step explanation:

Given:

Speed of  a man = 'x' miles/hour

Time taken = [tex]3[/tex] hour

So, distance = product of speed and time.

Distance covered in term of 'x' [tex]=(d_1=3x)[/tex]

Now,

Speed = [tex](2x-60)[/tex] miles/hour

Time taken= [tex]4.75[/tex] hours

Distance [tex](d_2)[/tex]  = [tex](2x-60)\times 4.75[/tex]

                      = [tex](2x\times 4.75) -(60\times 4.75)[/tex]

                      = [tex](9.5x - 285)[/tex] miles

Total distance covered by the man = Summation of  [tex]d_1[/tex] and [tex]d_2[/tex]

                                                           = [tex](9.5x-285+3x)[/tex]

                                                           = [tex](12.5x-285)[/tex] miles

So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.

Hope it will help u..............

Answer:

[tex]57.2\ ft[/tex]

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

[tex]tan(5^o)=\frac{y}{x}[/tex]

we have

[tex]y=5\ ft[/tex]

substitute and solve for x

[tex]tan(5^o)=\frac{5}{x}[/tex]

[tex]x=\frac{5}{tan(5^o)}[/tex]

[tex]x=57.2\ ft[/tex]

Answer: 4

Step-by-step explanation:

Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2

Top times top and bottom times bottom

The equation which shows the correct use of the distributive property is - 6x + 2 = -15

Given:

-4(3/2x - 1/2) = -15

multiply separately

-4(3/2x) -4(-1/2) = -15

-12/2x + 4/2 = -15

- 6x + 2 = -15

solve for x

-6x = -15 - 2

-6x = -17

x = -17/-6

x = 2.83

Therefore, the equation which shows the correct use of the distributive property is

- 6x + 2 = -15

Read more:

https://brainly.com/question/2807928

Answer:

<AFB

Step-by-step explanation:

Supplementary angles are the angles that's sum up to 180° which is called a straight angle.

In this question we see AFB is supplementary to DFA for DFB is the straight angle.

1) Quotient = [tex]x^2+x-3[/tex].

   Reminder= 8.

2) Quotient = x-3.

    Reminder = 7x-9.

Step-by-step explanation:

The Polynomial division is same as the regular division using long division method.

The quotient and reminder can be either polynomial or number.

1) For [tex]\frac{x^4-3x^2+4x+5}{x^2-x+1}[/tex] , the quotient is [tex]x^2+x-3[/tex] and the reminder is 8.

2) For [tex]\frac{x^3-3x^2+5x-3}{x^2-2}[/tex],  the quotient is  x-3 and the reminder is 7x-9.

( The steps are uploaded in the image).

Answer:

No solution.

Step-by-step explanation:

1/4x-3/4x=3-1/2x

-2/4x=3-1/2x

-1/2x+1/2x=3

0=3

no solution

Answer:

4 cm

Step-by-step explanation:

this is the answer on egde:)

Answer: 2

Step-by-step explanation:

I got it right on a unit test review

Answer:

$69

Step-by-step explanation:

1 - 0.25 = 0.75

original price * (1 - markdown) = sale price

$92 * 0.75 = sale price = $69

Answer:

Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

For example, express 36 + 8 as 4 (9 + 2).

The equation of a line is y = mx + b  [m is the slope, b is the y-intercept or the y value when x = 0  ---->  (0, y) or the point where the line goes through the y-axis]

To find the slope, you use the slope formula (m):

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]           and plug in 2 points

I will use the points (0, 0) and (1, 8)

(0, 0)  ---->  (x₁, y₁)

(1, 8) ---->   (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{8-0}{1-0}[/tex]

m = 8

Since you know m, plug it into the equation.

y = 8x + b

The graph shows that the y-intercept is 0, so plug it into the equation

y = 8x    

Answer:

Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?

Let "how much" = x. Set the equation:

x * 6 = 48

(x * 6)/6 = (48)/6

x = 48/6

x = 8

8 groups is your answer.

~

Answer:

Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one

Step-by-step explanation:

1. What information was given to us to answer the question correctly?

Amount of cottage cheese Ramon has = 7/8 of a cup

2. How many 1/4 cup servings can he make?

For answering this question, we make this calculation:

7/8 * 1/4

7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings

This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:

1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8

3/4 + (1/2 * 1/4) = 7/8

3/4 + 1/8 = 7/8

6/8 + 1/8 = 7/8

7/8 = 7/8

Step-by-step explanation:

100%=245

x%=40

Let's see what part 40 is of 245. 40/245=0.16. so 0.16×245=40. Therefore 0.16×100%=x=16% roughly.

Answer:

Yes! the ratio 8:16 is equivalent to 1:2

C = circumference of circle with radius r

C = 2*pi*r

C = 2*3.14*3500

C = 21,980

C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)

Answer:

Divide 2 by 1/6 and you should get the value of x.

Step-by-step explanation:

simple 2 step equation.

Answer: x = 12

Step-by-step explanation: In this equation, notice that x is being multiplied by a fraction. In this situation, in order to get x by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 1/6 is just 6/1.

So here, in order to get x by itself, we multiply both sides of the equation by 6/1. On the left our 6's cancel and our 1's cancel and we're left with x. On the right we have 2 x 6 which simplifies to 12 so x = 12.

Answer:

When solving equations the goal is to get the variable by itself so

4.5+1.5k=18-3k (first step is to subtract 4.5 from each side)

1.5k=13.5-3k (4.5-4.5=0, 18-4.5=13.5) (Next is to add 3k to each side)

4.5k=13.5 (1.5k+3k=4.5k, -3k+3k=0) (Last you divide both sides by 4.5)

k=3 (4.5/4.5=1, 13.5/4.5=3)

k=3

Hope this helps ;)

Answer:

122 degree

Step-by-step explanation:

As we know that

Sum of all angles of triangle = 180 degree

Angle A + Angle B + Angle C = 180

Angle A + 43 + 15 = 180

Angle A + 58 = 180

Angle A = 180-58

Angle A = 122

Answer:

297.26 feet to the nearest hundredth.

Step-by-step explanation:

We use the cosine ratio here because we know the hypotenuse and need the adjacent side.

cos 42 = adj / hyp

= x / 400

x = 400 cos 42

x = 297.26 feet.

For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches

Solution:

Let "x" be the width of the frame

Given that, The length of a picture frame is 8 inches more than the width

Therefore,

Length = width + 8

Length = x + 8

The perimeter of rectangle is given by formula:

Perimeter = 2(length + width)

Substituting the values we get,

Perimeter = 2(x + 8 + x)

Perimeter = 2(2x + 8)

Perimeter = 4x + 16

The perimeter of the picture frame greater than 152 inches

Perimeter > 152

[tex]4x + 16>152\\\\\text{Subtract 16 from both sides of inequality}\\\\4x + 16 - 16 > 152 - 16\\\\4x>136\\\\\text{Divide both sides by 4}\\\\x>34[/tex]

Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches

Answer:

x>35

Step-by-step explanation:

Step-by-step explanation:

We have,

[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]

To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?

∴ [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]

[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]

[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]

Taking LCM of denominator, we get

[tex]=\dfrac{24+16}{35}[/tex]

[tex]=\dfrac{40}{35}[/tex]

Dividing numerator and denominator by 5, we get

[tex]=\dfrac{8}{7}[/tex]

∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]

Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]

Answer:

(2x+5)(x+3)

Step-by-step explanation:

2x^2+11x+15

(2x+5)(x+3)

Answer:

(2x+5)(x+3)

Step-by-step explanation:

Answer:the answer  is a

Step-by-step explanation:

Answer:

[tex]1\frac{1}{2}x + 4[/tex]

Step-by-step explanation:

We are given the Perimeter: P = Perimeter[tex]3\frac{1}{2}x + 18[/tex]    in decimal 3.5x+18

we know that a Perimeter is equal to all sides added up: S1+S2+S3+S4=P

we know that this is a rectangle so that means that it has 4 sides and two sides are the same and the other 2 are the same.

We are given the the height on the image

Height: H = [tex]\frac{1}{4}x + 5[/tex]  in decimal 0.25x + 5

That height is one side so we know another of the sides is the same.

Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.

(Height x 2) + (Width x 2) = Perimeter

Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10    (height x 2)

so now we can subtract the heights from the perimeter.

  3.5x  +  18

-  0.5x  +  10

--------------------

  3x     +    8

So we got rid of both heights. Now we are left with our two lengths:

3x+8  = (length x 2)

To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4  in fractions that is:

  [tex]1\frac{1}{2}x + 4[/tex]

I hope this helped you or anyone else that needs the answer :)

Answer:

-17

Step-by-step explanation:

f(n)=-5n-2

f(3)=-5(3)-2

f(3)=-15-2

f(3)=-17

Answer:

For the first scatter plot, the variables have a negative association, which matches the option D. X is the amount of time in the mall and Y is the remaining money.

For the second scatter plot, it is a positive association. This plot could match A, B, or E.

The third scatter plot shows no correlation whatsoever, which represents C. Tomika's friends' heights did not associate with how much time they watched TV.

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Brainliest would be appreciated! I'd be Expert by now, but I never get brainliest. You don't have to though, but it would make me happy. Thanks!