Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation shows
the price, y, as a function of the number of boxes, x, for the new brand.
y = 7x
Part A: How many more dollars is the price of a box of Yani's original brand of cereal than the price of a box of the super-saving cereal?
Show your work.
Part B: How much money does Yani save each month with the change in cereal brand if he buys 5 cereal boxes each month? Show your
work.

Answers

Answer 1

Answer:

A) Original price : y =10.x

Cheaper brand : y = 7x

The original box is $3 more than the cheap one.  

Proof: Suppose 1 box is bought of each (x=1),Original will cost $10 & the Cheaper Price is $7

B) Each time he buys a cheap brand he save $3 ($10-$7).

On 5 cheap boxes, He would save $3 x 5 boxes = $15.

Step-by-step explanation:

Part A: The price of the first cereal that Yani bought was $10 and he new cereal is $7.

$10 - $7 = $3. The original box of cereal was $3 more than the super- saving cereal.

Part B: Yani will save $15 each month.

With the $10 cereal he used to pay $50 per month. Now with the super-saving cereal, he will now pay $35 per month.

So we need to subtract $50 - $35 = $15

Answer 2

The answer for part A is Original price: y =10x and Cheaper brand: y = 7x, and for part B he would save boxes  $15.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Yani buys a certain brand of cereal that costs $10 per box.

Yani changes to a super-saving brand of the same size.

= $10 - $7 = $3.

Yani will save $15 each month.

= $50 - $35 = $15

Thus, the answer for part A is Original price: y =10x and Cheaper brand: y = 7x, and for part B he would save boxes  $15.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5


Related Questions

I need with this plz

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Answer:

1/3

Step-by-step explanation:

Answer:

3,1are right answer. but I ju

St thinking

If my dog is 3 in dog years, how old is he in human years?

Answers

I’ve heard that dog years go by 7s, but another article I read said it can go by 15s. Not sure which one is correct, but if your dog is 3 in human years it would be 21 in dog years (by 7s)

Answer: He is 28 years old

Step-by-step explanation:

:0

:)

Find the unit rate. Round to the nearest hundredth, if necessary.

$5.99 for 19 lb

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Answer:

0.315 per lb

Step-by-step explanation:

Will mark brainliest plz help

Answers

Answer:

AE = 30

GD = 5

GF = 10

Step-by-step explanation:

Centroid of medians divide median in the ratio 2 : 1

Therefore,

AG : GE : 2 : 1

Let AG = 2x & GE = x

Since, AG = 20....(given)

Therefore, 2x = 20

x = 20/2

x = 10

GE = x = 10

AE = AG + GE = 20 + 10 = 30

CG : GD : 2 : 1

Let CG = 2x & GD = x

Since, CG = 10....(given)

Therefore, 2x = 10

x = 10/2

x = 5

Since, GD = x

Therefore, GD = 5

BF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10

What’s the answer !!!!!!!!!!!!

Answers

Answer:

c is the answer

2 1/2 X 2 1/3 ( 1/2 and 1/3 is in power)

2 1/2+1/3

2 5/6

You finish

3/8 of the project. Your friend finishes 1/4 of the project. What

fraction of the project is finished?

Answers

Answer: 5/8 of the project is done

help plz i need this done

Answers

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x

Substitute [sine]:                    sin35° = x/20Isolate x:                                 20sin35° = xEvaluate:                                 11.4715 = xRewrite:                                  x = 11.4715Round:                                    x ≈ 11.5

Plz help me with this equation.

Answers

Answer:

y=-1/4x+1

Step-by-step explanation:

The perpendicular equations slope is the negative reciprocal of the other lines, so if I had 2 as a slope, the perpendicular line's slope would be -1/2, I think. Then you just use the found slope and the given point to solve for b, then use the b value you get for the final equation.

4. When simplified, what is the value of 175, if i2 = – 1.

Answers

Answer:

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

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

i² = - 1 ⇒ i = [tex]\sqrt{-1}[/tex]

Given

[tex]\sqrt{-175}[/tex]

= [tex]\sqrt{25(7)(-1)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{7}[/tex] × [tex]\sqrt{-1}[/tex]

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

Answer:

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

Step-by-step explanation:

In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply [tex]\sqrt{a}[/tex] by [tex]\sqrt{b}[/tex], the following is true.

[tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex]                       (1)

From the question it self we know that [tex]\sqrt{ab}[/tex] is equal to [tex]\sqrt{-175}[/tex]. We also know that [tex]i^{2} = -1[/tex] or in other words [tex]i = \sqrt{-1}[/tex].

Now we will need to factors [tex]\sqrt{-175}[/tex] so that at the end we will end up representing [tex]\sqrt{-175}[/tex] as a product of [tex]\sqrt{-1}[/tex] and some other number. In order to determine the unknown number we will just have to divide [tex]\sqrt{-175}[/tex] by [tex]\sqrt{-1}[/tex]. From the equation (1) that I mention at the start we can figure out that......

[tex]\sqrt{a} = \frac{\sqrt{-175} }{\sqrt{-1} } = \sqrt{175}[/tex]   (in our case [tex]\sqrt{a}[/tex] is the unknown number we are trying to find)

Now we can rewrite [tex]\sqrt{-175}[/tex] as the following.....

[tex]\sqrt{-175} = (\sqrt{175})(\sqrt{-1})[/tex]

From here we substitute [tex]\sqrt{-1}[/tex] with [tex]i[/tex] and simplify [tex]\sqrt{175}[/tex]. In order to simplify [tex]\sqrt{175}[/tex] we will have to factor [tex]\sqrt{175}[/tex] in a way that we will see [tex]\sqrt{175}[/tex] as a multiple of a perfect square root. An so we get the following

[tex]\sqrt{-175} = (\sqrt{175})(i) = (\sqrt{7})(\sqrt{25} )(i) = (\sqrt{7})(5)(i) = 5i\sqrt{7}[/tex]

please help me write this equation​

Answers

The answer is, y = -1/3 - 3

shopper bought a 12-pound bag of oranges for $18.72. How much did it cost per pound?
PLZ HELP

Answers

Answer:

$1.56 d per pound

Step-by-step explanation:

18.72/12= 1.56

Which equation is a line that is parallel to the x-
axis and passes through the point (5,2)?

Answers

Answer:

y = 2

Step-by-step explanation:

Since the line is parallel to the x-axis,

the gradient, m = 0

From the point, we know that

x = 5

y = 2

So y = 2 is the line that parallel to x-axis

I got nut in my but just finished giving head locked up with the feds took a lot of meds I gotta go to bed before i cut my dreads met up with my hommie his name Fred give me a pinciple I think I need some led

Answers

Answer:

what are you talking about???

Step-by-step explanation:

brainliest and chill bro

You roll a fair six-sided die. The die shows an even number or a number greater than four .

Answers

Answer:

what are the answers?

Step-by-step explanation:

NEED HELP ASAP‼️‼️‼️‼️‼️‼️ IL CASH APP 20$ IF CORRECT ‼️‼️‼️‼️What is the solution to this system?

{2x + y = 8
{y = 2x + 4

Answers

Answer:

x = 1 and y = 6

Step-by-step explanation:

Add these equations

-2x+y=4

2x+y=8

2y=12

    2

y = 6

Plug in 12 for y.

-2x+(6) = 4

     -6    -6

-2x = -2

     -2

x = 1

Using y=mx+b find the slope for

4) y = −4x − 1

Answers

The answer for that is 1

What is 13/21as a decimal rounded to 3 decimal places?

Answers

Answer:

0.619

Step-by-step explanation:

Answer:

0.619

Step-by-step explanation:

Fist divide 13/21. I used a claulator since thats allows in my class. When you do that you get 0.619047619. to round we look at the thrid and fourth decimal places, which are 9 and 0. Since zero is less than nine we round down to get the answer.

the picture. and answer 1-6. please hurry

Answers

Answer:

Step-by-step explanation:

From the figure attached,

1). Sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{EF}{DF}[/tex]

               = [tex]\frac{24}{26}[/tex]

               = [tex]\frac{12}{13}[/tex]

2). Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

                = [tex]\frac{ED}{DF}[/tex]

                = [tex]\frac{10}{26}[/tex]

                = [tex]\frac{5}{13}[/tex]

3). tan(D) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

               = [tex]\frac{EF}{DE}[/tex]

               = [tex]\frac{24}{10}[/tex]

               = [tex]\frac{12}{5}[/tex]

4). sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{DE}{DF}[/tex]

              = [tex]\frac{10}{26}[/tex]

              = [tex]\frac{5}{13}[/tex]

5). cos(F) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{EF}{DF}[/tex]

               = [tex]\frac{24}{26}[/tex]

               = [tex]\frac{12}{13}[/tex]

6). tan(F) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex]

               = [tex]\frac{DE}{EF}[/tex]

               = [tex]\frac{10}{24}[/tex]

               = [tex]\frac{5}{12}[/tex]

Answer the question in the image below

Answers

Answer:

[tex]x=1+\sqrt{5} , x=1-\sqrt{5}[/tex]

Step-by-step explanation:

exchange y for 1:

[tex]1=x^2-2x-3[/tex]

and solve (I used an online calculator - symbolab and mathaway are my favorites).

A bag contains 3 blue marbles, 2
green marbles and 1 red marble.
What is the probability of pulling a
red marble from the bag?
a) 12
b) 1/3
c) 1/5
d) 1/6
Help ASAP

Answers

Answer:

D 1/6

Step-by-step explanation:

There are 6 total marbles and only one of them is red so

1=red

6=total

1/6

PLZ MARK ME BRAINLIEST

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex] m\angle CBE = 60\degree \\

m\angle FEB = 40\degree [/tex]

Step-by-step explanation:

If the given triangle is drawn to scale, then on measuring the required angles with protractor, we find:

[tex]m\angle CBE = 60\degree \\

m\angle FEB = 40\degree \\[/tex]

3/4 (4y+8)= 5+3y
solve for y:
please help

Answers

Answer:

No Soultion

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

distribute

3y + 6 = 5 + 3y

subtract 3y from both sides

6 = 5

no solution since 6 can never equal 5

i don't understand them

Answers

7: Answer: [tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

Substitute the value of Y:

[tex]-2x-3(10x-11)=-7[/tex]

Solve for X:

[tex]-2x-3(10x-11)=-7[/tex]

[tex]x=\frac{5}{4}[/tex]

Substitute the value of X:

[tex]x=\frac{5}{4}[/tex]

[tex]y=10*\frac{5}{4}-11[/tex]

Solve for Y:

[tex]y=10*\frac{5}{4}-11[/tex]

[tex]y=\frac{3}{2}[/tex]

Solution:

[tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

8: Answer: [tex](x,y)=(3,-2)[/tex]

Substitute the value of Y:

[tex]4x-3*(-2)=18[/tex]

Solve for X:

[tex]4x-3*(-2)=18[/tex]

[tex]x=3[/tex]

Solution:

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

9: Answer [tex](x,y)=(0,-2)[/tex]

Substitute the value of Y:

[tex]-3x+6(-2+5x)=-12[/tex]

Solve for X:

[tex]-3x+6(-2+5x)=-12[/tex]

[tex]x=0[/tex]

Substitute the value of X:

[tex]x=0[/tex]

[tex]y=-2+5*0[/tex]

Solve for Y:

[tex]y=-2+5*0[/tex]

[tex]y=-2[/tex]

Solution:

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

10: Answer [tex](x,y)=(-3,-6)[/tex]

Substitute the value of Y:

[tex]-5x-(6+4x)=21[/tex]

Solve for X:

[tex]-5x-(6+4x)=21[/tex]

[tex]x=-3[/tex]

Substitute the value of X:

[tex]x=-3[/tex]

[tex]y=6+4x(-3)[/tex]

Solve for Y:

[tex]y=6+4x(-3)[/tex]

[tex]y=-6[/tex]

Solution:

[tex](x,y)=(-3,-6)[/tex]

Please mark me brainliest if this helped you :)

Show your work F(x)=5x^2-4x+1 G(x)=3x-2 H(x)=x+1 K(x)= 4x What is (g*h)(x)= What is g(k(x))= What is k(g(0)) =

Answers

Answer:

What is (g × h)(x)?

The answer is 3x²+x-2

What is g(k(x))?

The answer is 12x - 2 or 2(6x-1)

What is k(g(0))

The answer is -8

Explanation:

Given these functions —

[tex]f(x) = 5 {x}^{2} - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x[/tex]

Find (g × h)(x)

[tex](g \times h)(x) = g(x) \times h(x)[/tex]

Substitute g(x) = 3x - 2 and h(x) = x + 1

[tex](3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)[/tex]

Multiply the polynomial.

[tex]3 {x}^{2} + 3x - 2x - 2[/tex]

Subtract - 2x out of 3x —

[tex]3 {x}^{2} + x - 2[/tex]

Thus, the answer is —

[tex](g \times h)(x) = 3 {x}^{2} + x - 2[/tex]

Find (g(k(x))

Substitute k(x) = 4x in g(x).

[tex]g(x) = 3x - 2 \\ k(x) = 4x[/tex]

[tex]g(k(x)) = g(4x)[/tex]

[tex]g(4x) = 3(4x) - 2[/tex]

Distribute 3 in 4x —

[tex]g(4x) = 12x - 2[/tex]

Thus the answer is —

[tex]g(k(x)) = 12x - 2[/tex]

Alternative Solution

[tex]g(k(x)) = 2(6x - 1)[/tex]

Find k(g(0))

Given two functions — k(x) and g(x)

[tex]k(x) = 4x \\ g(x) = 3x - 2[/tex]

Evaluate the value of g(0) as we substitute x = 0 in g(x)

[tex]g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) = - 2[/tex]

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

[tex]k(x) = 4x \\ g(0) = - 2[/tex]

Substitute g(0) = -2 in k(x)

[tex]k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) = - 8[/tex]

Thus, the answer is —

[tex]k(g(0)) = - 8[/tex]

help please its math

Answers

9514 1404 393

Answer:

partial products: 0.25, 1.5, 0.50, 3Zoe spent $5.25 on apples

Step-by-step explanation:

The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:

  1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50

  = 3 + 1.5 + 0.50 + 0.25 . . . . . partial products

Their sum is ...

  3 + 1.5 + 0.50 + 0.25 = 5.25

Zoe spent $5.25 on apples.

Complete the solution of the equation. Find the value of y when x equals 7. x - 4y = 19 Enter the correct answer.​

Answers

The correct answer is -3. You just plug 7 into the equation and solve for y

Answer: the correct answer is to teacha don’t like you assigning this bullish!+ when will you ever in your life use this feel bad for y’all I dropped out

Step-by-step explanation:

Consider the following functions.
f(x)=2x^2+4x+10
g(x)=3x-11
h(x)=3x^3+x^2=21
The value of h(f(g(2)))

Answers

Answer:

Step-by-step explanation:

h(f(g(2)))=

h(f(3*2-11))) = h(f( -5))=

h((2*(-5)^2) +4*(-5) +10) = h (50 -20 +10) = h(40)

now calculate h(40) but check if you wrote corectly the equation

what is 1696 divided by 43

Answers

Answer:

39.44

Step-by-step explanation:

Answer:

39.4418605

Step-by-step explanation:

What is the slope of (-9, 8) and (3,- 12)

Answers

Answer:

Your slope would be -5/3

Step-by-step explanation:

To find the slope from two points, you would use the formula y2-y1/x2-x1

In this case, the equation would look like -12-8/3-(-9)

-12 - 8 = -20

3 - (-9) = 12

-20/12 = -5/3

-5/3. Uuhhhhhhhjjjuuuuu

It takes 404040 ink cartridges and 200200200 pages to print a book, and it takes 303030 ink cartridges and 808080 pages to print a magazine. Sarah wants to print books and magazines with at most 300300300 ink cartridges and 120012001200 pages. Let BBB denote the number of books she prints and MMM the number of magazines she prints.

Answers

Answer:

40B +30M ≤ 300

200B +80M ≤ 1200

Step-by-step explanation:

The inequality functions are as follows:

For 40 cartridges per book and 30 cartridges per magazine and at most 300 cartridges are used

So the function would be

40B +30M ≤ 300

Now the another would be

There are 200 pages for printing a book and 80 pages are required for printing a magazine also she used at most 1,200 pages

So, the function would be

200B +80M ≤ 1200

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