Jon’s teacher wants to buy giant cookies for the entire class. If cookies cost $1.95 each, write an equation that shows how much change she will get back from $30 after buying C amount of cookies.
A. y = 28.05C
B. y = 30C - 1.95
C. y = 30 - 1.95C
D. y = 31.95C

Answer:

g

Step-by-step explanation:

Answer:

The first option.

Step-by-step explanation:

5*6=30 and 9*6=54. We're just multiplying what we had originally by 6, meaning we'll have the same shade, but in a bigger quantity.

Answer:

Let's define:

X = number of pounds of the brand 1 (price = $2.50 per pound)

Y = number of pounds of the brand 2 (price = $2.80 per pound)

We want to make a mix of 480 pounds, then:

X + Y = 480.

And we want the mean price to be $2.68, then:

(X*$2.50 + Y*$2.80)/480 = $2.68

Then we have a system of equations:

X + Y = 480

(X*$2.50 + Y*$2.80)/480 = $2.68

To solve this, the first step will be to isolate one variable in one of the equations, and then replace this in the other equation.

Let's isolate X in the first eq.

X = 480 - Y.

Now we can replace this in the other equation and get:

((480 - Y)*$2.50 + Y*$2.80)/480 = $2.68

Now let's solve this for Y.

((480 - Y)*$2.50 + Y*$2.80) = $2.68*480 = $1,286.40

$1,200 + Y*$0.30 = $1,286.40

y*$0.30 =  $1,286.40 - $1,200 = $86.40

Y = $86.40/$0.30 = 288

Then:

X = 480 - Y = 480 - 288 = 192

Then the manager must use 192 pounds of the brand that costs $2.50 per pound, and 288 pounds of the brand that costs $2.80 per pound.

The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Let the area that is needed to be painted be x.

Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,

Rate = Area needed to be painted / Time

       = x / 12 hours

       = x/12

Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,

Rate = Area needed to be painted / Time

       = x / 16 hours

       = x/16

Now, the rate at which they both will paint or the area that they will cover in an hour is,

Rate = (x/12) + (x/16)

       = (4x/48) + (3x/48)

       = (4x + 3x)/48

       = 7x / 48

Furthermore, the time it will take both of them together to paint the house is,

Time = Area needed to be painted / Rate

        = x / (7x/48)

        = 48/7 hours

        = 6.857 hours

Hence, the time it will take both of them together to paint the house is 6.857 hours.

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Answer:

$27.09 in all

Step-by-step explanation:

$1.29 × 16.5 = $21.285

$1.29 × 4.5 = $5.805

$21.285 + $5.805 = $27.09

Answer:

2nd option: [tex]3 \frac{65}{72} [/tex] pounds

Step-by-step explanation:

backpack +math book ----- [tex]18 \frac{7}{9} [/tex] pounds

backpack ----- [tex]14 \frac{7}{8} [/tex] pounds

Weight of math book

= (weight of backpack +math book) -(weight of math book)

[tex] = 18 \frac{7}{9} - 14 \frac{7}{8} \\ = 3 \frac{65}{72} [/tex]

Answer:

B. 3 and StartFraction 65 over 72 EndFraction pounds

Step-by-step explanation:

Answer:

11/20 is the answer

Answer:

x = 1 , y = 2

Step-by-step explanation:

Solve for substitution

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

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[tex]\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\ [/tex]

[tex]\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\ [/tex]

[tex]\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\[/tex]

[tex]:\implies \sf Area = Length \times Breadth \\ \\ \\ [/tex]

[tex]:\implies \sf 360=(x + 9 ) x \\ \\ \\ [/tex]

[tex]:\implies \sf 360= {x}^{2} + 9x \\ \\ \\ [/tex]

[tex]:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\ [/tex]

[tex]:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\ [/tex]

[tex]:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\ [/tex]

[tex]:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\ [/tex]

[tex]\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\ [/tex]

[tex]\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\ [/tex]

[tex]\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\ [/tex]

[tex]\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\ [/tex]

Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

[tex]x_1=\dfrac13\[/tex]  , [tex]y_1=\dfrac34[/tex] ,  [tex]y_2=3[/tex]

Put these values in an equation we get

[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]

Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3= 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1 1/3 cups

Answer:

$3

Step-by-step explanation:

Plug in 2 for y, so you get 2x + 3(2) = 12, and that simplified would be

2x + 6 = 12. Next, subtract 6 from both sides, so you get 2x = 6. Divide 2 by both sides to get 3!

Answer:

1

Step-by-step explanation:

use division.

281 divided by 8

which is in all 35, but there is a remainder

and that remainder is 1

so one person will be on that last boat

Answer:

4022

Step-by-step explanation:

48264/12=4022

Answer:

$4,022

Step-by-step explanation:

Because it is an annual salary (yearly), you would take the number and divide it by 12 (the amount of months in a year). This leaves you with $4,022

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

Answer:

Answer: A- 1.50$ for (1 lb) make sure you pick the graph with the coat that go to 7 not 12!

Step-by-step explanation:

but maybe its 1.25

Answer:

1.25

Step-by-step explanation:

Answer:

4. 3

Step-by-step explanation:

If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.

You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.

Hope that helps :)

Answer:

x = [tex]\frac{2b+3}{5b-2}[/tex]

Step-by-step explanation:

Given

x(5b - 2) = 2b + 3 ← isolate x by dividing both sides by (5b - 2)

x = [tex]\frac{2b+3}{5b-2}[/tex]

Answer: synthesis

polymerization

oxidation

Step-by-step explanation:

Answer: synthesis

polymerization

oxidation

Answer: 21

Step-by-step explanation:

24 times 16 equals 384

21 times 90 equals 1890

Answer:

B 9 pounds of barbecue for $82.26

Step-by-step explanation:

$28.74/3 lb = $9.58/lb

A $57.48/6 lb = $9.58/lb

B $82.26/9 lb = $9.14/lb

C $114.96/12 lb = $9.58/lb

D $143.70/15 lb = =$9.58/lb

Answer: B 9 pounds of barbecue for $82.26

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Answer:

B: Y=1/2×+2 I think that's it

Step 6 contains an error. Option C is correct

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

The correct step is;

[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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Answer:

Concert Specialties is the better buy

Step-by-step explanation:

In order to determine which of the two deals is the better buy, we first need to find out how many of each pack we would need to get the needed 12 tickets. Once we have this value we multiply it by the dollar amount of each pack and compare the totals like so...

Concert Specialties => pack of 3 * 4 = 12 tickets => 4 * 75 = $300

We 'R' Entertainment => pack of 4 * 3 = 12 tickets => 3 * 108 = $324

Therefore, we can now see that the Concert Specialties is the better buy since you are getting the 12 tickets for $24 less than We 'R' Entertainment