Jada and Priya are trying to solve the equation 2/3+x=4
Jada says, “I think we should multiply each side by 3/2 because that is the reciprocal of 2/3."
Priya says, “I think we should add -2/3 to each side because that is the opposite of 2/3."
1. Which person's strategy should they use?
2. Explain your reasoning.

Answers

Answer 1

Answer:

Priya is correct.  Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.

Step-by-step explanation:

Let's run through solving it that way:

2/3 + x = 4

2/3 - 2/3 + x = 4 - 2/3

0 + x = 4 - 2/3

x = 4 - 2/3

x = 10/3


Related Questions

-f +1/6uA=4; solve for a

Answers

Answer:

-1/6f

Step-by-step explanation:

-f+1/6uA=4=

A shoe distributor sells a particular pair of shoes to a store for $42.80. The store then sells this pair of shoes to a customer at a 35% markup. How much money does the store make from selling one pair of shoes to a customer?

Answers

Answer:

$14.98

Step-by-step explanation:

The store bought the pair of shoes for $42.80.

If the store sells the pair of shoes at a 35% markup, then it is selling it at:

([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78

To calculate how much money the store is making from selling this pair of shoes:

57.78 - 42.80 = $14.98

The store would be making $14.98 for selling one pair of shoes to a customer.


ACME Company's expected sales can be modeled by g(t) = 13 – 21? + 4t - 7, where g(t) is measured in thousands
of dollars and t is the number of years after 2008. Find the average rate of change in expected sales from 2009 to
2015.

Select one:
O a. -$45,000
O b. $45,000
O c. $36,000
O d. $270,000

Answers

i think the answer is B, not sure

You can use the given function to evaluate the expected sales at year 2009 and 2015 and use the net difference divided by time as the average rate of change.

The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941

How to find the average rate of change of something?

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where when

[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]

Using the above method to calculate the needed average rate

Since the sales is given by the function [tex]g(t) = t^3 - 2t^2 + 4t - 7[/tex], and the inputs are 2009 and 2015, thus, evaluating g(t) (sales) at those values of t, we get:

[tex]g(2009) = 8023737057[/tex] (replaced 2009 with t and calculated)

[tex]g(2015) = 8096096703[/tex] (replaced 2015 with t and calculated)

Using these values to calculate the average rate

[tex]\text{average rate} = \dfrac{g(2015) - g(2009)}{2015 - 2009} = \dfrac{72359646}{6} = 12059941\\[/tex]

Thus,

The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941

Learn more about rate of change here:

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16 skiers on 4 boats

Answers

Okay ummm nice.
Plz mark Brainliest lolz
It will be 4 because 16 ÷4=4
Hope this helps
May I have brainliest is okay if no! :)

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

Answers

Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

-12 1/5 ÷ 4 2/5 = -8

A. Kari multiplied the compatible numbers –12 and 4.

-12 * 4 = 48

A. Is not correct

B. Kari found that the quotient of a negative number and a positive number is negative.

Example:

-a/a = -1

The rule is right

C. Kari found that the quotient of a positive number and a negative number is positive.

a/-a = -1

The rule is wrong

D. Kari added the compatible numbers –12 and 4.

= -12 + 4

= -8

Therefore, Kari error was that she added the compatible numbers –12 and 4.

Five less than the product of -3 and a number is -2.

Answers

Answer:

The equation is -3n-5=-2. The answer is -1.

8TH GRADE MATH!!
PLEASE HELP ME

Answers

Answer:

20

Step-by-step explanation:

115+x = 135 (remote interior angles)

x = 135-115

x = 20

Please Make Me Brainlist

Answer:

20

Step-by-step explanation:

first look at the line which says a and 135, they add up to 180 so

a + 135 =180

a= 180-135

a= 45

Then to find the x we will have to add all the angles inside the triangle which would add up to 180

So,

x+115+45=180

x+160=180

x=180-160

x=20

THEREFORE X = 20⁰

One base of an isosceles trapezoid is 12 and the other is 20. What is the length of the midsegment?

Answers

The length of the midsegment of an isosceles trapezoid is the sum of the two bases, divided by 2. So this means -

(base 1+base2) / 2

(12+20) / 2

32/2

Length of midsegment = 16

The diagonals of rectangle. QRST intersect at P. Given that m<PTS = 34° and QS=10 , find QP.

Answers

Answer:

QP = 5

Step-by-step explanation:

since QRST is a rectangle, and QRST intersect at P, then QTS and QRS are right  triangles.

because <T is a right angle, line TR passes through the midpoint of line QS, therefore 2(QP) = QS

10/2 = 5

By the property of diagonal in a rectangle are equal and bisect each other measure of QP is 5 units.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, QRST is a rectangle, QS and RT are the diagonals of the rectangle

QRST.

By properties of rectangles, we know a rectangle is a parallelogram in which opposite sides are equal and diagonals bisect each other.

Given, QS is 10 units and QS = 2QP.

10 = 2QP.

QP = 10/2.

QP = 5.

learn more about rectangles here :

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Hey guys I really need help

Answers

Answer:

No, I think and yes.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

no cap

What is the distance of
CD

given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.

Answers

Answer:

CD = [tex]\sqrt{164}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)

d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]

   = [tex]\sqrt{(-8)^2+10^2}[/tex]

    = [tex]\sqrt{64+100}[/tex]

    = [tex]\sqrt{164}[/tex]

     = 2[tex]\sqrt{41}[/tex] ← in simplest form

Given :

C (5, - 2)D (- 3, 8)

To Find :

CD = ?

Solution :

As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :

[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]

Here,

x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8

So, by filling values :

[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]

[tex] \sf : \implies CD = \sqrt{164}[/tex]

Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]

What is the base of the expression 1112?
o 3
O 11
O 12
o 21

Answers

The answer is 3 mate

Which pair shows equivalent expressions?
2x+10= -2(x-5)
-2(x+5)=2x-10
-2x-10= -2(x=5)
-2(x-5)= -2x- 10

Answers

Answer:

C

Step-by-step explanation:

I took the test

I don't understand... Please help

Answers

angle cud, angle duc

In an elementary school with 400 students, 22% had their photographs retaken.

How many students had photo retakes?​

Answers

Answer:

88

Step-by-step explanation:

400*0.22=88

22% = 22/100 = 0.22
400 x 0.22 = 88
88 students

72 millimeters to 3 meters

Answers

The ratio is 24:1000 or 0.024.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

72 millimeters to 3 meters

Now, Convert 3 meter to millimeter

3 meter= 3 x 1000

             = 3000 mm

Then, ratio is

= 72 / 3000

= 24/1000

= 0.024

Learn more about ratio here:

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please help im timed
how would you solve 17=w/4?

Answers

Answer:

Solution for 17=w-4 equation:

17=w-4

We simplify the equation to the form, which is simple to understand

17=w-4

We move all terms containing w to the left and all other terms to the right.

-1w=-4-17

We simplify the left and right sides of the equation.

-1w=-21

We divide both sides of the equation by -01 to get w.

w=21

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

17/1 = w/4

w.1=17.4

w= 68

Solve for x.
(3x - 1)
71
Equation=
x=

Answers

Answer:

3x - 1 = 71

3x = 72

x = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

3x + -1 = 71

Reorder the terms:

-1 + 3x = 71

Solving

-1 + 3x = 71

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 3x = 71 + 1

Combine like terms: -1 + 1 = 0

0 + 3x = 71 + 1

3x = 71 + 1

Combine like terms: 71 + 1 = 72

3x = 72

Divide each side by '3'.

x = 24

Simplifying

x = 24

1 million + 1 million​

Answers

Answer: 200,000,000 or 2 million

Step-by-step explanation:

Answer:

2 million LOL

Step-by-step explanation:

0
-3 < n < 1
n is an integer.
Write down the possible values of n.

Answers

Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0

Can anyone help me with this please.
I’ll mark you as a brainliest.

Answers

Answer:

x = 21

Step-by-step explanation:

5x + 18 = 7x - 24

=> 5x - 7x = - 24 - 18

=> -2x = - 42

=> x = -42 / -2

=> x = 21

Hope it helps :)

Please mark my answer as the brainliest

How do I solve these two complex fraction problems?

Answers

Try the app Photomath!:)
maybe try the app slader that will help u for sure x

-9x2y5 is polynomial or monomial or binomial or trinomial or polynomial

Answers

Answer:

Monomial

Step-by-step explanation:

Monomial is only one value therefore the following value is a monomial.

[tex]-9x^2y^5[/tex]

please answer urgently ​

Answers

I don’t like math that’s all ima say , try and look it up on gothe exact answer and t me you will find it, it works for me! Mark brainly

3x^2 + 9x + 4x + 12

Answers

Answer:

steps below

Step-by-step explanation:

3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)

if 3x² + 9x + 4x + 12 = 0    x = -3 or x = - 4/3

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=70°, and OM = 3.3 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:

Side MN = 3.5

Step-by-step explanation:

Side NO  = 1.2011

Side OM = 3.3

Side MN = 3.51179

Angle ∠M = 20° = 0.34907 rad = π/9

Angle ∠N = 70° = 1.22173 rad = 7/18π

Angle ∠O = 90° = 1.5708 rad = π/2

Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
13 (pi)
5 (pi)
6.5 (pi)

Answers

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

What is the value of x?
40
550
A. 1059
B. 75°
C. 850
D. 95°

Answers

Answer:

the answer is 85° because all angles in a triangle add up to 180

so u add them both up, subtract from 180 n u get 85

Answer:

C because a triangle angles must add up to 180

Is this right? Plz check

Answers

Yesss, I’m almost certain. Hope you get it correct

Expand and simplify the following:

(5+2d)(2+3d+d²)

Must show working !! Will give brainliest :)

Answers

Answer: 2d³+11d²+19d+10

Step-by-step explanation:

Use the FOIl method to simplify this

FirstOuterInnerLast

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

 (5+2d)(2+3d+d²)

=10+15d+5d²+4d+6d²+2d³ ⇔ Expand using FOIL

=2d³+(5d²+6d²)+(4d+15d)+10 ⇔ Put like terms together

=2d³+11d²+19d+10 ⇔ Combine like terms

Hope this helps!! :)

Please let me know if you have any questions

Answer: 2d³+11d²+19d+10

Step-by-step explanation: first we rearrange terms (5+2d)(2+3d+d²) into (2d + 5)(2 + 3d + d^2) then we do Rearrange terms again and then we Distribute and combine like terms and get our answer.

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