Sophia earns 40 points every time she shops at a grocery store. She needs a total of 2,680 points to receive a free prize. So far, she has earned 1,280 points. How many more times will Sophia have to shop at the grocery store in order to earn the additional points she needs for a free prize? Let t represent the number of times Sophia visits the store. Which of the following equations best represents the solution to the above question? 100 points !!! quick PLEASE HELP I GUURL OUT

Answers

Answer 1

The equation that best represents this solution is:

40t + 1,280 = 2,680

What is the algebraic equations?

An algebraic expression is when we use numbers and words in solving a particular mathematical question.

Each time Sophia shops at the grocery store, she earns 40 points. If she needs a total of 2,680 points to receive a free prize and she has already earned 1,280 points, then she needs to earn an additional 2,680 - 1,280 = 1,400 points. Let t represent the number of times Sophia visits the store.

Since Sophia earns 40 points every time she shops at the grocery store, the total number of points she will earn after t visits is 40t. Therefore, we can set up the following equation:

40t = 1,400

Solving for t, we can divide both sides of the equation by 40:

t = 1,400/40

t = 35

Hence, Sophia will need to shop at the grocery store 35 more times in order to earn the additional points she needs for a free prize.

The equation that best represents this solution is:

40t + 1,280 = 2,680

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Related Questions

answer pleaseeeeeeeeeeeeeeeee

Answers

You can answer this by plugging in the x values given in the chart.

For example let’s look at the first column where x is given to equal -1
If we know that x=-1 then we can substitute that for x in the given equation y= 3x+2 so now it looks like
y=3(-1)+2

The 3 and the -1 are spectated only by parenthesis meaning they are multiplied. So now it look like this:
y=-3+2
Now just add these terms together
y=-1
Now you know what goes in the y box under -1.
You can repeat this for each x value.

Let’s do one more, the box that has 0 In it. Remember this means x=0 so 0 can be put anywhere in the equation you see x.
Y=3(0)+2
Anything times 0 is zero
So you just have: y=0+2
So y=2
This would go in the box under the 0.

Let me me know if you need more help!

The ratio of Braydon's number of laps he ran to the time he ran is 6:2. The ratio of Monique's number of laps she ran to the time she ran is 104. Explain why these ratios are not in a proportional relationship.​

Answers

Answer:

They are not in a proportional relationship because Monique's number and time isnt a proportion. Instead it is a whole number. Like Braydon's his is 6:2 that is the correct way to write it.

Step-by-step explanation:

The ratio is not proportion.

What is ratio and proportion?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given:

The ratio of Braydon's number of laps he ran to the time he ran is 6:2.

The ratio of Monique's number of laps she ran to the time she ran is 10:4.

The simplest for Braydon is = 6/2 = 3/1

and, the simplest form for Monique = 10/4 = 5/2

As, 3/1 ≠ 5/2

So, the ratio is not proportion.

Learn more about proportion here:

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rewrite 5\11 and 3\7 so that they have a common denominator.
Then, use to order 5\11 and 3\7.

Answers

Answer:

35/77>33/77

Step-by-step explanation:

4. John is packing books into boxes. Each box can hold either 15 small books or 8
large books. He needs to pack at least 35 boxes and at least 350 books, Write a
system of linear inequalities to represent the situation

Answers

Answer:

Your system of inequalities is:

x + y ≥ 35

15x + 8y ≥ 350

Step-by-step explanation:

Let x = number of boxes of small books and let y = number of boxes of large books.

 Since John needs to pack at least 35 boxes:

 (number of boxes of small books) + (number of boxes of large books) (is at least) 35

x + y ≥ 35

Since John needs to pack at least 350 books:

 (number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers. Question 1 options: 13,67 14,66 17,63 12,68

Answers

Answer:

17,63................

need rn! worth 13 ~ what is the equation of the parabola? 謝謝

Answers

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

ANSWER ASAP!! THIS IS GEOMETRY SCALE FACTORS. ONLY ANSWER IF YOU KNOW FOR SURE!

Answers

Answer:

45

Step-by-step explanation:

The scale is 3:1 so multiply 15 by 3 just like 12 to 36.

Answer:

30

Step-by-step explanation:

Can someone put this into vertex form?
y=x2+24x-15

Answers

Answer:

The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

a is the coefficient of x²(h, k) are the coordinates of the vertex pointh = [tex]\frac{-b}{2a}[/tex] , where b is the coefficient of xk = y at x = h

Let us use the facts above to solve the question

y = x² + 24x - 15

∵ a is the coefficient of x² and b is the coefficient of x

a = 1 and b = 24

∵ h is the x-coordinate of the vertex point

∵ h = [tex]\frac{-b}{2a}[/tex]

→ Substitute the values of a and b to find h

∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]

h = -12

→ To find k substitute y by k and x by h

∵ y = k and x = h

∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15

k = -159

∴ The coordinates of the vertex point are (-12, -159)

→ Substitute the values of a, h, and k in the vertex form above

∵ y = 1(x - -12)² + (-159)

→ Remember (-)(-) = (+) and (+)(-) = (-)

y = (x + 12)² - 159

The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159

Answer:

sure.

Step-by-step explanation:

6x^2 – 13x + 6 = 2x^2 solve using quadratic formula

Answers

Answer:

[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define equation

6x² - 13x + 6 = 2x²

Step 2: Rewrite in Standard Form

Subtract 2x² on both sides:                    4x² - 13x + 6 = 0

Step 3: Define

a = 4

b = -13

c = 6

Step 4: Solve for x/roots

Substitute:                              [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent:                               [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply:                                  [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract:                                 [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

And we have our final answer!

What is the measure of angle 1?
Write the answer without the degree.

Answers

Answer: 70

90+20=110

180-110=70

I hope this is good enough:

Answer:

70

Step-by-step explanation:

Everything needs to add up to 180. So you have 90 and 20 you will add them and you’ll get 110. Since you want to find the missing measurement you will subtract 180-110 and you’ll get 70. The missing angle is 70. To check: 90+20+70=180

.
HELPPP
The equation of the line in slope Intercept form is

Answers

Answer:

y = 60x + 40

Step-by-step explanation:

It is in the form of

y = mx + b

m is the slope

b is the y intercept.

The y intercept is 40, so it will be y = mx + 40.

The slope is 60, so y = 60x + 40!

-2x + y = 0
x - y = -3

Answers

Answer:

The value of x is 3 and y is 6.

Step-by-step explanation:

You can solve this simultaneous equation by elimination method :

[tex] - 2x + y = 0 - - - (1)[/tex]

[tex]x - y = - 3 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex] - 2x + y + x + (- y) = 0 + ( - 3)[/tex]

[tex] - x = - 3[/tex]

[tex]x = 3[/tex]

[tex]substitute \: x = 3 \: into \: (2)[/tex]

[tex](2)⇒[/tex]

[tex]3 - y = - 3[/tex]

[tex] - y = - 6[/tex]

[tex]y = 6[/tex]

Solve the right triangle shown in the figure. (Round your answers to two decimal places.)

Answers

Answer:

Step-by-step explanation:

(3). cos A = [tex]\frac{b}{c}[/tex]

cos A = [tex]\frac{1.77}{17.7}[/tex] = 0.1 ⇒ A ≈ 84.26°

B ≈ 5.74°

C = 90°

a ≈ 17.61

(4). cos 16° = [tex]\frac{79}{x}[/tex] ⇒ x ≈ 82.18 ≈ 82.2 ≈ 82

(WILL GIVE BRAINLIEST TO RIGHT ANSWER) a container holding water is 3/4 full. after pouring out 8 ounces it is half full. How many ounces can it hold? x = # ounces container can hold

Answers

it can hold 32 ounces

Answer:

If x is the number of ounces the container can hold then x = 32

Step-by-step explanation:

The container can hold 32 ounces because if it was 3/4 full and then you poured out 8 ounces then that means there was 2/4 remaining.

Hope this helps!!

Name any two 2D shapes which are not polygons.Insert the diagrams of these shapes to support your answer.
please hurry

Answers

Answer:

Circle and Semi-circle are 2D but not polygons.

Picture to shwo answer:

what is the vertex of y=x^2 +x-6?

Answers

y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.

y=x²+x+(1/2)² -6 - 1/4 . simplify

y=(x+1/2²)- 25/4 in the vertex form

hope this will help u

Bob the builder has 3 feet of rope. He cut off 18 inches of the rope to tie a gate together. What percent of the rope did he use? (

Answers

Answer:

1.5

I am not 100% sure.. but you should double-check

Is (1, -1) a solution to y = 3x - 4?
Explain.

Answers

(1,-1) is a solution to y=3x-4 because when we plug in 1 for x in the equation we get y=-1. Since x is 1 and y is -1 we can see that the coordinate points (1.-1) are a solution to y=3x-4.

Please Mark me as Brainliest!

Answer:

yes

Step-by-step explanation:

just plug in the point into the equation then simplify

A ruby ring which normally sells for ​$310 is on sale for ​$217. Find the percent markdown for each ring.

Answers

Answer:

My awnser isss

Step-by-step explanation:

32% my homie

Answer:30%

Step-by-step explanation:

Discount = Original Price (X) discount (X) %/100

Discount = 310 × (30)/100

Discount = 310 x 0.3

You save = $93.00

Write the equation y = (4/5 x) - 7/10 in standard form. (Standard form is Ax+By = C, where A is positive, and A, B, and C are integers with greatest common divisor 1.)

Answers

Answer:

8x-10y=7

Step-by-step explanation:

What form is the equation below written in?
y= (x - 2)2 – 9

-Factored Form
-Standard Form
-Slope-Intercept Form
-Vertex Form

Answers

Answer:

            Vertex Form

Step-by-step explanation:

Vertex form of quadratic function with vertex (h, k) is y=a(x-h)²+k,

So  y= (x - 2)² - 9 is vertex form with vertex (2, -9)

What is the answer to answer to 7m-3m-6<6?

Answers

Answer:

m<3

Step-by-step explanation:

This the answer to the equation.

what number is it on for the answer?

Answers

What do you mean? I don’t have a source to go by.

Answer:

um i cant answer this cuz there no question here

elena walked 12 miles. then she walked 0.25 that distance. how far did she walk all together

Answers

Answer:12.25

Step-by-step explanation:

First you have to figure out what .25 of 12 is. Then you add that to the 12 miles that she already walked. Hope this helps and have a nice day!!!

Jin bought 4 markers for $7. How many markers can he buy
for $21? Show your work.

Answers

Answer:

12

Step-by-step explanation:

7 times 3 is 21

and 4 times 3 is 12

Answer:

12

Step-by-step explanation:

first do 7 divided by 4 to find what 1 is worth. this answer is 1.75

now divide 21 by 1.75 to get 12

12 is your answer

hope this helped :)

Who know how to do this 100% smart

Answers

Answer:

1- [tex]\frac{1}{2}[/tex]

2- 1

3- -2

Step-by-step explanation:

1-

Add the numbers : [tex]\frac{5}{10}[/tex]

Reduce the fraction with 5 : [tex]\frac{1}{2}[/tex]

Solution : [tex]\frac{1}{2}[/tex]

2-

Calculate the difference: [tex]\frac{-3}{-3}[/tex]

Divide: 1

Solution: 1

3-

Subtract the numbers: [tex]\frac{6}{-3}[/tex]

Reduce the fraction : -2

Solution: -2

Answer:

1. 1/2 or (2,1)

2. 1 or (-3,-3)

3. -2/1 or (-3,6)

Step-by-step explanation:

1. 2-(-3) = 2 + 3 =5

   6-(-4)= 6 +  4= 10

so 1/2 or (2,1)

2. 1-4 = 1 + (-4) = -3

  -2-1 = -2 + (-1)= -3

so 1 or (-3,-3)

3.  12-6 = 12 + (-6) = 6

    2-5 = 2 + (-5) = -3

so  -2/1 or (-3,6)

Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

Answer:

You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.

PLZZZZZZ HELP ME!!!!!!!

15 x 5x

Answers

75 are u that dumb boy

Answer: x=0

Step-by-step explanation:

x in (-oo:+oo)

((15*x)/5)*x = 0

3*x^2 = 0 // : 3

x^2 = 0

x = 0

x = 0

Sean said that if an item is on sale for 50% off plus an additional 20% off, that is the same as a 70% discount. Megan disagrees. Who is correct? Justify your reasoning.​

Answers

Answer:

Megan is correct because when you take 20% off, you're taking it off the 50%.

Step-by-step explanation:

50°
(x + 16)




Please help

Answers

Answer:

50o • (x + 16)

Step-by-step explanation:

it stays the same.

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