Mr. Christian is giving away special candies for Halloween. He has decided to spend $75 on Halloween candies. Each bag of candied raisins costs
$2.25 and each bags of Snickers costs $3.50.
1. Write the equation that represents this situation. Be sure to include what your variables stand for.
2. If Mr. Christian decides to buy 10 bags of candied raisins, how many bags of Snickers did he buy?

Answers

Answer 1

Answer:

1. For the candied raisins, r can represent the candied raisins

r = $2.25

t can equal total

t = total

And for the snickers, s can represent them

s = $3.50

Our equation would be: r + s = t

2. $52.50

10 bags of candied raisins would cost $22.50 so then we would subtract $22.50 from $75.00 because Mr. Christian wants to spend his full amount. We would get $52.50 from subtracting which is the amount he spent on the Snickers!

I hope that this can help you

Answer 2

Answer:

1: 2.25r + 3.50s = 75 ( r = raisins and s = snickers )

2: 15

Step-by-step explanation:

If you are creating an equation, you need to know which parts of the question should be included. The parts included in this equation would be $75 (total amount of money spent on candy), $2.25 (cost of 1 bag of candied raisins ), and $3.50 (cost of 1 bag of snickers).In order to make the equation, you would need to multiply both 2.25 and 3.50 by the amount of bags bought, however we do not know that yet, so we use variables. I chose to use r to represent the bags of candied raisins bought, and s to represent the bags of snickers bought. So that would leave you with 2.25r + 3.50s. Now since 75 is the total amount of money spent, you would set 2.25r + 3.50s equal to 75.

The answer to number 2 is 15. If you were to substitute r for 15, the new equation would be 2.25(10) + 3.50s = 75. When you multiply 2.25(10), you get 22.50. you would then subtract that from 75, giving you 50.50. The equation is now 3.50s = 50.50. The next step is to divide 3.50 on both sides, which would result in just the variable on the left side, and 15 on the right side of the equals sign ( s = 15 )


Related Questions

two shapes that represent the cross-sections

Answers

Answer:

it's the square and the rectangle

Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.

Part A

About how many miles did they run in 1 hour?

Enter the correct answer in the box. Part B

What percent of the full distance have they run in 1 hour?

Enter the correct answer in the box.

Answers

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

[tex]d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}[/tex]

So, they will cover 6.5 miles in 1 hour.

For percentage,

[tex]\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%[/tex]

So, they will run 75% of the full distance in 1 hour.

Solve for x.
-18x + 21 > -15 OR 20x – 13 >27

Answers

Answer:

C

Step-by-step explanation:

-18x + 21 > -15  ///  x = 2

20x – 13 >27  ///  x = 2

The solution of inequality -18x + 21 > -15 OR 20x – 13 > 27 is x ∈ (- ∞, ∞), so option E is correct.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

-18x + 21 > -15 or  20x – 13 >27

Solve the first inequality as shown below,

-18x + 21 > -15

-18x + 21 - 21 > -15 - 21       (Subtract 21 from both sides)

-18x > -36

-18x / -18 > -36 / -18      (Divide by -18 into both sides, the inequality sign changes as the value will become positive)

x < 2

Similarly, solve the second inequality,

20x – 13 > 27

20x > 40

x > 2

Thus, the solution will be x < 2 ∪ x > 2 or x ∈ (- ∞, ∞)

To know more about inequality:

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(9x2 – 8) + (9x2 + 9x + 3)

Answers

Answer:

18x2 +9x -5

Step-by-step explanation:

combine like terms

Andrew Filled a measuring cup with 7/8 of a cup of olive oil then he poured 1/2 of a cup of the oil into a bowl. How much oil is left in the measuring cup

Answers

Answer:

3/8

Step-by-step explanation:

Andrew filled a measuring cup with 7/8 of olive oil

He poured 1/2 of the oil into a bowl

Therefore the amount of oil that will be left can be calculated as follows

= 7/8 - 1/2

= 3/8

Hence 3/8 oil will be left

use the function below to find f(-2).
f(x)=3^x

Answers

hi

f(x) = 3^(x)   so  (f-2) =    3^(-2)  =  1/ 3² =    1/9

Answer: 1/9

Step-by-step explanation:

Simplify this expression

Answers

Answer:

[tex]\frac{x^{2} }{576y^4}[/tex]

Step-by-step explanation:

Anything to the power of 0 becomes the number 1

[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?

Answers

9514 1404 393

Answer:

  it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

  [tex]\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}[/tex]

__

Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

  [tex]\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}[/tex]

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 3 1 1 3 -1 5 -3

Answers

Answer:

y = - x + 2

Step-by-step explanation:

Points given:

(-1, 3), (1, 1), (3, -1), (5, -3)

Slope-intercept form:

y = mx + b

Finding the slope using slope formula and the first two points:

m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1

Finding y-intercept using the slope and the first point:

3 = (-1)*(-1) + b3 = 1 + bb = 3 - 1b = 2

So the equation is:

y = - x + 2

What is the value of x?

Enter your answer in the box.

Answers

Answer:

111°

Step-by-step explanation:

The polygon given is a heptagon having 7 sides.

Sum of interior angles of a 7-sided polygon = (n - 2)*180

= (7 - 2)*180

= 5*180 = 900°

Therefore:

126° + 158° + 120° + 125° + 121° + 139° + x° = 900°

Solve for x

789° + x° = 900°

Subtract 789 from each side

x = 900° - 789°

x = 111°

nth term of a sequence is n(n+1) what term is 240? is 55 a term in the sequence?​

Answers

Answer:

            a₁₅ = 240            55 is not term in the sequence  

Step-by-step explanation:

[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]

if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number

The product of numbers where one of them is even will always be even.

55 is odd number so it is not term of this sequence.

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

1. x = 66

2. C

3. C. 2000

Step-by-step explanation:

1. The first question is x = 66 because to get rid on the fraction you multiply both sides by 4. This leaves you with x + 2 = 68 (minus 2 on both sides) this gives you x = 66.

2. C. Commutative

3. 2000

Plug in

125 = (5)(.0125)(2000)

125 = 125

Hope this helps ya!!

50 POINTS PLEASE HELP
Stephano solved this inequality, but the solution does not work when he checked his answer. In which step did he go wrong? Explain.
-4s + 5 ≤ 16
\frac{-4s + 5}{-4} ≥ \frac{16}{-4}
s + 5 - 5 ≥ -4 - 5
s ≥ -9

Answers

Answer: 2nd step

Step-by-step explanation:

(-4s+5 )/-4 ≥ 16/-4

S-(5/4) ≥ -4

S ≥ -4+(5/4)

S ≥ 1/4

x + 16 = 9z
Help please

Answers

Answer:x=9z + 16

                  z= x/9 + 16/9

Step-by-step explanation: dont know if i solve for x or z so i did both  subtract 16 from both sides for x      

Isolate the variable by dividing each side by factors that don't contain the variable. for z let me know if u need help

Answer:

Hallooooooo

Step-by-step explanation:

Write the equation that represents a 15% increase of $120.

Answers

Answer:

$138

Step-by-step explanation:

if 100 is 15 then you add 1.15 or 1% of 15

Check the box labeled Show Segment Parallel to BC. Notice that DE intersects two sides of triangle ABC creating a smaller triangle, triangle ADE. How is triangle ADE related triangle ABC to ? How do you know?

Answers

Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.

Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)

The triangle ADE is similar to the triangle ABC.

What is a similar triangle?

Similar triangles are triangles whose corresponding lengths are not equal to each other, but their corresponding angles are equal.

The relation between triangle ADE and ABC is shown below:

It is given that the line segment DE is parallel to BC.

Since it is parallel to each other, we can say that the angles formed on both the line segments are equal to each other since they are corresponding angles. Angle A is common to both the triangles.

Therefore, we can say that the two triangles are similar because all the angles are the same in each triangle.

Therefore, we have found out that the triangle ADE is similar to the triangle ABC.

Learn more about similar triangles here: https://brainly.com/question/2644832

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Find the area of this parallelogram.

Answers

I’m too lazy you find it

Answer:

area of parallelogram=base×height=21×9=189cm²

I WILL GIVE BRAINLIEST. I NEED ANSWER ASAP.​

Answers

I believe it is C :)

HELP PLEASE PICTURE EXPLAINS EVERYTHING!!!!

Answers

Answer:

(a) Slope of Line 1 = 3

    Slope of Line 2 = 3

    Slope of Line 3 = -1/3

(b)

Line 1 and Line 2 = Parallel

Line 1 and Line 3 = Perpendicular

Line 2 and Line 3 = Perpendicular

Step-by-step explanation:

Please mark as brainliest! Thanks! Hope this helps!

I need help on this question can you tell me what the blanks are pls

Answers

Answer:

sorry I wish I can help you

Step-by-step explanation:

Patty is inviting her friends to a party. She has 30 snack bars 45 juice boxed, and she wants to give the same number of each item to each friend.

Answers

Depends how many friends she has. Whatever that number may be, divide it by both 30 and 45 to have the same number per friend. If you get a decimal or fraction then round down to the nearest whole number
Example: 10 friends
30/10= 3 so 3 snack bars
45/10=4.5 so 4 juice boxes

what number do these base ten blocks show

Answers

70 should be correct

From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?

Answers

Im pretty sure it is 95:)

The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?

Answers

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.

help please #16 already found x can’t figure out y

Answers

Answer:

x=26 y=137

Step-by-step explanation:

5x-17+3x-11=180

8x=208

x=26

2y+5+3x-11=180

2y+5+(3*26)-11=180

2y=274

y=137

y = 4x + 12
What is the x - intercept?

Answers

Answer:

The x-intercept is -3

Step-by-step explanation:

So what you need to do is just graph this like any other equation

Start and (0, 12) and make a point

Then the slope is 4 so go up 4 and right 1 and keep doing that.

Then go the opposite direction so down 4 left 1

After that see where the line hits the x-axis, in this case, its (-3, 0)

So the x intercept is -3 or (-3, 0)

Pls mark brainliest because i didn't waste your time lol

Answer: (-3, 0)

Step-by-step explanation: If you want to find the x- intercept for y = 4x + 12, you’ll have to plug y = 0 into the equation and solve the resultint equation 0 = 4x + 12 for x. [0 = 4 x -3 + 12]. Hence, x = -3, so the x - intercept is (-3, 0).

A dressmaker needs to cut 6-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 6-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?

Answers

Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!

A florist delivers flowers to anywhere in town. D is the distance from the delivery address to the florist shop in miles. The cost to deliver flowers, based on the distance d, is given by C(d) = 0.04d^3 - 0.65d^2 + 3.5d + 9. Evaluate C(d) for d = 6 and d = 11, and describe what the values of the function represent

Answers

A. C (6) = 15.24; C 11 = 22.09.

C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles

from the shop.

C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles

from the shop.

b.

Answer:

The distance between the library and the florist’s shop is the length of CD . The endpoints of this line segment are C(3, 4) and D(3, -3). Because the x-coordinates of both points are the same (3), the length of CD can be found by subtracting the smaller y-coordinate from the greater y-coordinate: CD = 4 – (-3) = 4 + 3 = 7 units. The distance between the library and the florist’s shop is 7 blocks.

Step-by-step explanation:

Sara halves it and gets an answer of 34.3. What was the original number?

please help me im doing hegarty maths and I dont know what is this answer please help me

Answers

Answer: 68.6

because 34.3 times 2 is that or if u divide 68.6 by 2 u get 34.3

Substitute to solve

Brainliest for correct answer

Answers

Answer:

4x-1y=3xy

Step-by-step explanation:

because 3-2=1 and add the y on and the do 4x-1y and that will = 3xy

Answer:

x=4, y=6

Step-by-step explanation:

hope that helps :)

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