Amy has $26 to spend on school supplies. After buying a notebook for $3.50 and 8 pens of equal cost, she had $16.18 left. Write an equation representing the money Amy spent.

Answers

Answer 1

Answer:

26-3.50-8x=16.18

Step-by-step explanation:

To create an equation representing what she spent, we need to start with the money she had and end with the money she has left.

We know that she originally had $26, but when she was done shopping, she had $16.18. To get from $26 to $16.18, you have to subtract the cost. That gives you 26 - [ cost ] = 16.18

We know that she spent $3.50 on a notebook and  8 pens of an unknown cost. The unknown cost can be represented by x. To find the total cost, you must add the costs of what she bought together. That gives you 3.50 - 8x.

Plug the expression of the cost into the equation, and boom it's done.

26 - 3.50 - 8x = 16.18

Answer 2
Final answer:

To find the equation representing the money Amy spent on school supplies, we can use the given information and set up an equation. By solving the equation, we can find the cost of one pen and calculate the total amount of money Amy spent.

Explanation:

To represent the money Amy spent, we need to find the cost of 8 pens. Let the cost of one pen be x. The notebook cost $3.50, so the total money spent on the notebook and pens can be represented as:

$3.50 + 8x

According to the problem, Amy had $16.18 left after buying the notebook and pens. So we can set up the equation:

$26 - ($3.50 + 8x) = $16.18

Simplifying the equation, we have:

$26 - $3.50 - 8x = $16.18

$22.50 - 8x = $16.18

Subtracting $22.50 from both sides, we obtain:

-8x = -$6.32

Multiplying both sides by -1, we get:

8x = $6.32

Dividing by 8 on both sides, we have:

x = $0.79

Therefore, the cost of one pen is $0.79.

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Related Questions

Solve for x using the zero product property. (x+3)(x+2) = 0

Answers

Answer:

x can be -3 or -2

Step-by-step explanation:

There are two binomials here (x+3) and (x+2). For the product to be 0, one (of both) have to be 0. For the first binomial to be 0, x must be -3. For the second to be 0, x must be -2.

Answer:

x=-3 and x=-2

Step-by-step explanation:

Since we are trying to find the two intersections points of the quadratic we solve for x.

x+3=0

 -3

x   =-3

Repeat to (x+2)

x+2=0

  -2

x    =-2

Can someone please help me with this problem?

Answers

Answer:

f'(1) = 2

Step-by-step explanation:

f(x) = 2x^2 -2x +3

Take the derivative

f'(x) = 2 * 2x - 2 * 1

f'(x) = 4x -2

f'(1) = 4(1) -2

      =4-2

       =2

Easy Question, Easy Points



Topic: Volume

Answers

Answer:

a   125600 cm^3

b    327910.2 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

a   = 3.14 (20)^2 100

  =125600 cm^3

b  We know the diameter  r =d/2 = 118/2 =59

V = pi r^2 h

         3.14 (59)^2 *30

        327910.2 m^3

Answer:

1) 125,600 cm³

2) 327,910.2 m³

Step-by-step explanation:

Volume of cylinder: pi × r² × h

1) 3.14 × 20² × 100

125,600 cm³

2) 3.14 × (118/2)² × 30

327,910.2 m²

FP!!!!!!!!!!!!

(10 x 5 ) + 50 =

read comment plz

Answers

Answer:

(10 x 5) + 50 =

(50) + 50 = 100

Step-by-step explanation:

1. do parenthesis first

2. add them together

Answer:

(10*5)+50

50+50=100

Step-by-step explanation:

Hope I helped

Slope of 0 3 and 4 1

Answers

Answer:

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

Step-by-step explanation:

The slope of (0,3) (4,1) =

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

Hope this helps :)

Slope = y2-y1/x2-x1

1-3/4-0

-2/4

-1/2

Easy Question, Easy points


Topic: Volume

Use the other attached paper to help u find formula

Focus on question Scenario 2

Answers

Answer:

20,000 cm³

Step-by-step explanation:

The shape is a triangular prism

Base area × height

½ × 20 × 25 × 80

20,000 cm³

How long would it take for a snail (average speed of 0.029) to travel 2,800 miles ?

Answers

Answer:

5 days 12 hours = 7920 minutes. x = 5280 feet = 1 mile.

Step-by-step explanation:

Answer:

answer is 5 days and 12 hours

Step-by-step explanation:

hope we can be friends

can i please get brainliest

During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one, where w is the number of wins and p is the number of points scored. One team in the league scored 444 points and had 12 wins.
What is the residual of that team’s win total?

a. -2.046
b. -1.764
c. 1.764
d. 2.046

Answers

Answer:A

Step-by-step explanation:

The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.

What is equation?

An equation can be stated as a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one,

i.e. w = 0.031p - 3.81

where w is the number of wins and p is the number of points scored.

now, we have,

One team in the league scored 444 points and had 12 wins.

i.e. p = 444

w = 12

so, we get,

LHS = 12

and, RHS = 9.954

so, the residual of that team’s win total is,

9.954 - 12

= -2.046

Hence, The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.

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The Zamoras rent a storage room that is 10 feet wide, 12 feet long, and

8 feet high. How many cube-shaped boxes 1 foot on each edge can the

Zamoras store in the room?

Answers

Answer:

960 cubes

Step-by-step explanation:

To find how many cubes of side 1 foot can be contained in the room, we have to find the volume of the storage room and then, divide by the volume of the cube.

The storage room is in the shape of a rectangular prism, hence, its volume is:

[tex]V = L * W * H[/tex]

where L = length

W = width

H = height

The dimensions of the storage room are:

10 feet wide, 12 feet long, and  8 feet high

Hence, its volume is:

[tex]V = 10 * 12 * 8 = 960 ft^3[/tex]

The volume of the cube of side 1 foot is:

[tex]V = S^3\\\\V = 1^3 = 1 ft^3[/tex]

Hence, the number of cubes that can be contained in the storage room is:

960 / 1 = 960 cubes

960 cubes can be stored in the storage room.

Ross has a spinner that is split into eight equal sections numbered 1 through 8. He spun the spinner 1,104 times. Which of the following would be a good estimate of the number of times the spinner landed on number 6?
A.
291
B.
117
C.
209
D.
127

Answers

Answer:

D.  127

Step-by-step explanation:

Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.

Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.

A) 291/1104 = .264

B) 117/1104 = .106

C) 209/1104 = .189

D) 127/ 1104 = .115

Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.

Answer:

D, 127

Step-by-step explanation:

it would be d because if the spinners each have equal spots then you can divide it by 8. which gets you 138, but that isn't an option and its probability so its always around a number. so the closest one is 127 or D

Eduardo bought 3 liters of water, 2,750 milliliters of sports drink and 2.25 liters of juice. Which statement is true? Group of answer choices

Answers

Answer:

Step-by-step explanation:

What we will do is evaluate each of the statements:

Eduardo bought 3 liters of water. This statement may be true, because he was able to buy the water for multiple people or for another use.

2,750 milliliters of sports drink. It is false because the quantity is too small to drink.

2.25 liters of juice. As in the case of water, it can be true if it is to be taken in a group.

From the top of a lighthouse 55 feet above sea level, the angle of depression to a small boat is 11.3*. How far is the boat from the base of the lighthouse? *

Answers

Answer:

275.248 ft

Step-by-step explanation:

this is a trigonometry question, so we first draw a triangle with height 55 and angles 11.3 (degrees) and 78.7 (degrees). tan(11.3)=55/base, so the base would be 275.248 ft.

A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring? A circle has a radius of 2 feet. A larger circle is 1 foot larger than the smaller circle. 1 pi inches squared 3 pi inches squared 5 pi inches squared 12 pi inches squared

Answers

Answer:

it is option 2      3 Pi inches squared

Step-by-step explanation:

good job :)

The answer is option B) A larger circle is 1 foot larger than the smaller circle.

How do u find the area in a circle?

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

What is Problem Solving?

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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apply the distributive property to create an equivalent expression to 6(a+2b+3c)

Answers

Answer:

6a+12b+18c

Step-by-step explanation:

Multiply 6 with the numbers inside the parentheses.

what is the slope of a line that goes through the points (3, -2) and (2, 3)

Answers

Answer:

-5

Step-by-step explanation:

To find the slope between two points we use

m = (y2-y1)/(x2-x1)

    = (3 - -2)/(2 - 3)

    = (3+2)/(2-3)

    = 5/ -1

    - 5

Answer:

M=-5

Step-by-step explanation:

y2-y1 over x2-x1

3+2 divided by 2-3

5/-1

-5

Use the given line and the point not on the line to
answer the question.
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
(-3.6, 0)
(-2, 0)
(0, -3.6)
(0, -2)

Answers

It’s C hope this helped

Answer isssss:

C

yw ily

Complete the statement about figures on the graph. Parts A and create a figure on the coordinate plane that has point symmetry about the origin.

Answers

Answer:C

Step-by-step explanation:

The answer is "Parts A and  C  create a figure on the coordinate plane that has point symmetry about the origin" on Edge 2020

the largest number which divides 60 and 75 leaving remainders 8 and 10 respectively is

Answers

Final answer:

To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, the GCD (greatest common divisor) can be used. The GCD between 60 and 8 is 4, and the GCD between 75 and 10 is 5. Thus, the largest number that satisfies the conditions is 4.

Explanation:

To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, we can use the concept of the greatest common divisor (GCD). The GCD is the largest number that divides two or more numbers without leaving a remainder. To find the GCD, we can use the Euclidean algorithm.

First, we divide 60 by 8. The quotient is 7 and the remainder is 4. Then, we divide 8 by 4. The quotient is 2 and the remainder is 0. Since the remainder is 0, we stop here. Therefore, the GCD of 60 and 8 is 4.

Next, we divide 75 by 10. The quotient is 7 and the remainder is 5. Then, we divide 10 by 5. The quotient is 2 and the remainder is 0. Again, since the remainder is 0, we stop here. Therefore, the GCD of 75 and 10 is 5.

Therefore, the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively is 4.

If x =-4 and y= 3 , what is the value of x - 3y^2 ?
A. -13
B. -23
C. -31
D. -85

Answers

Answer:

-31

Step-by-step explanation:

= x - 3y^2

= -4 - 3 × 3^2

= -4 - 27

= -31

hope it helps!

Hudson is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 6 people. Hudson booked a total of 19 rooms which can accommodate 87 guests altogether. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.

Answers

Answer:

Our system is  :   S + L = 19,  and  3S + 6L = 87

Let # of small rooms = S

# of Large rooms = L

10 Large rooms and 9 Small rooms

Step-by-step explanation:

Let # of small rooms = S

# of Large rooms = L

S + L = 19

3*S + 6*L = 87

Our system is  :   S + L = 19,  and  3S + 6L = 87

solve.

S = 19 - L

3*(19 - L) + 6L = 87

57 - 3L + 6L = 87

57 + 3L = 87

3L = 30

L = 10

S = 19 - 10 = 9

Answer:

Step-by-step explanation:

Let the number of smaller rooms be x

Total rooms are 19. So, number of larger rooms  = 19 - x

Total guests = 87

3x + (19-x)6 = 87

The ratio 36:60 is equivalent to what other ratios? ( list at least 2)

b) make the ratio 36:60 equivalent to _:50 ( show proof)

Answers

Answer:

1.) 12:20

6:10

2.) 30:50

6*5=30 and 10*5=50

(6:5 is the proportional relationship)

Step-by-step explanation:

Part A: Since the base numbers are 6:5, you can multiply any number like 5 on both sides. They only have to be the same number.

Part B: Divide the numbers until you cannot any more. I divided them both by 6.

Linda shoots an arrow at a target in an archery competition. The arc of the arrow can be modeled by the equation y = −0.02x2 + 0.65x + 4, where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow. How far from Linda does the arrow hit the ground? Round to the nearest tenth.

Answers

Answer:

Linda was 37.8 m away when the arrow hit the ground

Step-by-step explanation:

We are given that The arc of the arrow can be modeled by the equation :

[tex]y = -0.02x^2 + 0.65x + 4[/tex]

Where x is the horizontal distance (in meters) from Linda

y is the height (in meters) of the arrow.

Now we are supposed to find How far from Linda does the arrow hit the ground

So, y must be 0 when the arrow hits the ground

So, Substitute y = 0 in the equation :

[tex]y = -0.02x^2 + 0.65x + 4\\0 = -0.02x^2 + 0.65x + 4\\0.02x^2-0.65x-4=0\\0.02(x-37.79)(x+5.29)=0\\x=37.79,-5.29[/tex]

Since distance cannot be negative

So,Linda was 37.8 m away when the arrow hit the ground

The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Which values of x hold true for the inequality?

Answers

Answer:

All integers greater than 12 (13 onwards) satisfy the inequality

Step-by-step explanation:

x + x + 1 + x + 2 > 40.

3x + 3 > 40

3x > 37

x > 12.3333

All integers greater than 12 (13 onwards) satisfy the inequality

To find the area of the regular hexagon, a classmate uses 12m for the perimeter. What is your classmates error?

Answers

Answer:

Required was area, they provided the perimeter

Area = 6sqrt(3) m²

Step-by-step explanation:

Perimeter = 6s

6s = 12

s = 12/6 = 2m

Area = 3sqrt(3)/2 × 2²

Area = 6sqrt(3) m²

sqrt: square root

What is the image of (-1,-6) after a reflection over the y-axis?

Answers

Answer:

your answer is (1,-6)

Step-by-step explanation:

when a point is reflected in y-axis, then the y-co-ordinate remains same and then x-co-ordinate becomes the opposite of that number.

When you reflect a point across the y-axis, only the x-coordinate changes while the y-coordinate stays the same. For example:

(-x, -y) -> (x, -y)

So:

(-1, -6) -> (1, -6)

Best of Luck!

Solve the quadratic equation: -x^2+8x=7

Answers

Answer:

Step-by-step explanation:

To solve the quadratic equation [tex]-x^2 + 8x = 7[/tex], we first convert it to standard form and identify the coefficients. Using the quadratic formula, we find the solutions to be x = -1 and x = 7.

To solve the given quadratic equation, [tex]-x^2 + 8x = 7[/tex], we first need to bring the equation to the standard form of a quadratic equation, which is [tex]ax^2 + bx + c = 0[/tex]. We can do this by subtracting 7 from both sides, resulting in [tex]-x^2 + 8x - 7 = 0[/tex].

Now the equation is in standard form, we identify the coefficients: a = -1, b = 8, and c = -7. Applying these to the quadratic formula, x = [-b ± [tex]\sqrt(b^2 - 4ac)[/tex]] / (2a), we get:

x = [-8 ± [tex]\sqrt((8)^2[/tex] - 4(-1)(-7))] / [2(-1)]

x = [-8 ± [tex]\sqrt(64 - 28)[/tex]] / -2

x = [-8 ± [tex]\sqrt(36)[/tex]] / -2

x = [-8 ± 6] / -2

Now, solving for x, we get two solutions:

x = (-8 + 6) / -2 = -1

x = (-8 - 6) / -2 = 7

Therefore, the solutions to the quadratic equation are x = -1 and x = 7.

Solve a triangle when A = 27.3°, B = 55.9°, and a = 8.6.

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

i just did the test on edge and got it right, it’s not D, it’s A.

Answer:

A=

Step-by-step explanation:

Explain.
log2x = log2(3x + 5) + 4

It’s no solution but I need to explain how

Answers

Because there is no answer.

Find the volume of a rectangular prism that is 16 cm in length, 12 cm in height, and 10 cm in width.

Answers

Answer:
1,920 centimeters cubed

Explanation:
The formula for volume is Length x Width x Height (LxWxH). You can fill in the formula with the numbers to make 16x10x12. After you multiply the three numbers together you get 1,920 centimeters cubed (1,920 cm ³)

jo triangles.
The base of the rectangle is 7 inches, and the height is
6 inches.
The area of one triangle is
square inches.
13
21
42
84

Answers

Answer:

21

Step-by-step explanation:

Area = 1/2 (Base x Height)

Area = 1/2 (7 x 6)

Area = 1/2 (42)

Area = 21

Answer:

Answer is B.21

Step-by-step explanation:

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Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type-B vessel has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise in May. It costs $42,000 to operate a type-A vessel and $51,000 to operate a type-B vessel for that period. How many of each type of vessel (x type-A and y type-B) should be used in order to keep the operating costs to a minimum what Did Mandela experience living in Johnsonburg can someoneeeeeeeeeee please help me Re-write the equation after you distributeand combine all the like terms.12-4(-3x+5)-8x=20 is a type of chemical weathering.OA. Frost wedgingOB. CarbonationOC. AbrasionOD. Heat effects A horizontal spring with a 10000 N/m spring constant is compressed 0.08 m, and a 12-kg block is placed against it. When the block is released, the block shoots forward along a horizontal surface that exerts 8 N friction force on the block. How far from the original position does the block travel before coming to a stop For each star, determine how its light would be shifted. Not all choices may be used, and some may be used more than once. A red dwarf moving away from Earth at 39.1 km/s A yellow dwarf moving transversely at 15.1 km/s A red giant moving towards Earth at 23.3 km/s A blue dwarf moving away from Earth at 25.9 km/s A red dwarf moving transversely at 14.1 km/s Please help me with this How did researchers combine their work to decipher the Rosetta Stone? Read the sentence underlined in the lastparagraph of the passage, on pages 5-6. Whatis suggested by Washington's use of imagery inthe sentence?the belief that negative attitudes will diminish aspeople gain clarity and understandingthe concern that people will become accustomed toinjustices and just ignore themthe view that former slaves will need to work hard inorder to reach their full potentialthe idea that getting a college education results inchanges in attitudes about race Order each set of integers from greatest to least(8, 43, -25, 12, -14, 3)(-8, 32, 55, -32, -19, -3)(-100, -89, -124, -69, -52)(6, 17, -20, -19, 26) A force of 6600 N is exerted on a piston that has an area of 0.010 m2What area is required for a second piston to exert a force of 9900 N?Fi F2UseA A. 0.015 m2B. 150 m2C. 0.0066 m2D. 66 m2 a location in space represented by a dot is called 6. Which principal behind the Constitution guarantees that a person's basic freedoms cannot be taken away?freedom of religionO limited governmentjudicial restraintO separation of powers (BRAINLIEST!) Name the organ without all types of tissue. Fill in the blank: 3 feet = __________ inches A closed loop conductor with radius 1.5 m is located in a changing magnetic field. If the max emf induced in the loop is 7.0 V, what is the max rate which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies CRIMINOLOGY What is a two-track correctional system? Do you think a two-track correctional system would work better in our country? Would this decrease the percentage of offenders reentering the system? What is the correct meaning of the word assemble? Determine the graph foci and asymptote equation of x^2/4-y^2=1 Steam Workshop Downloader