Allie says that the expressions 4x - 2x +4 and 2(x + 2) are not equivalent because one expression
has a term that is subtracted and the other does not. Do you agree? Explain.
Yes,
the expressions are equivalent. The first expression, 4x - 2x +4, can be simplified to
which equals 2(x + 2).
(Use the operation symbols in the math palette as needed.)

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

Answer:

12 students

Step-by-step explanation:

First, find the percentage of how many students have siblings:

3/10 = 0.3 = 30%

40 * 0.3 = 12

This means that 30% of this class are 12 students. These 12 students have siblings.

Hope this helps!

Answer:

yes

Step-by-step explanation:

The square root of one is 1.000

Answer:

yes the number 1 has a square root and the square root is the number 1

Answer:

70cm

Step-by-step explanation:

Step-by-step explanation:

7x(x - 2y)

= 7x.(x - 2y)

= 7x² - 14xy

= (2 + 1)(+5)

= (3)(5)

= 3 × 5

= 15

Step-by-step explanation:

1) 7x(x - 2y)

= (7x . x) - (7x . 2y)

= 7x² - 14xy

2) (2 + 1)(+5)

= 3(+5)

= (3 . +5)

= (3 . 5)

= 15

Answer:

5 8/11, 57/10, 5.724, 5.95

Step-by-step explanation:

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

1220 - 100 = 1120

1120 + 50 = 1170

Answer: 1170

Answer:

1170

Step-by-step explanation:

HI hope you have a wonderful day.

Answer:

Step-by-step explanation:

Answer:

AD is not parallel to BC -- they are going opposite directions

AD does not equal DC -- there is nothing saying that they are congruent in length

YX is not parallel to ZW -- they are going opposite directions

Answer:

y=5

Step-by-step explanation:

the way you do this is by adding 2 and 3 because two negatives make a positive.

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

Answer:

27

Step-by-step explanation:

75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.

Answer:

Step-by-step explanation:

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

Answer:

Step-by-step explanation:

[tex]45.60 \times 15\% \\ 45.60 \times \frac{15}{100} \\ \frac{684}{100} \\ 6.84[/tex]

Answer:

slope = -8/5

Step-by-step explanation:

m= y2-y1/x2-x1

m=(4-(-4))/(-1-4)

m= 8/-5

Answer:

-8/5

Step-by-step explanation:

Answer:

5/6 (decimal form: 0.83)

Step-by-step explanation:

Answer: 0.8333… (numbers keep going)

Step-by-step explanation:

The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The cost for the group is $15 for shoe rentals plus $4.00 per game.​

Now,

Let number of games = x

And, Total cost of the bowling's = y

Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.​

So, We can formulate;

⇒ y = $4.00x + $15

⇒ y = 4x + 15

Compare with the standard form of equation of line y = mx + c, we get;

⇒ Slope = 4

And, The y - intercept = 15

Thus, The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

5a +8

Step-by-step explanation:

a+4a=5a

5a+8

=5a+8

Answer:

profit : $28

profit percentage: 14%

Step-by-step explanation:

his profit :    $1.14 times 200kg = $228

228 -200 = 28

28 divided by 200 = 0.14

0.14 times 10 = 14 %

Answer:

its B

Step-by-step explanation:

Answer:

k=-1

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

48 divided by -3 is -16 but you round up since its high enough and it goes to -20

Step-by-step explanation:

the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).

the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.

so, the point (1, 0) covers (x-1).

we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.

the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.

due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.

so, -2 - 3 = -5

and A is the correct answer option.

Answer:

Step-by-step explanation:

9801 - 3856 = 5945

Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]