Terry bought some gum and some candy. The number of packs of chewing gum was one more than the number of mints. The number of mints was three times the number of chocolate bars. If gum cost 6 cents a pack, mints cost 3 cents each, and chocolate bars cost 10 cents each, how many of each confection did he get for 80 cents?

Answers

Answer 1

Answer:

Hi!!

Step-by-step explanation:

7 = chewing gum

6 = mints

2 = chocolate

Answer 2

Answer:

number of packs of chewing gum is 7

number of mints  is 6

number of chocolate bars is 2

Step-by-step explanation:

number of packs of chewing gum → x,  cost 6¢

number of mints → y = x-1 =3z,  cost  3¢

number of chocolate bars → z = y/3 = (x-1)/3, cost 10¢

put in equation 6x + 3y +10z = 80 plug in term of x

6x +3(x-1) +10((x-1)/3) =80 multiply each side by 3

18x +9(x-1) +10(x-1) =240 distribute

18x+9x-9+10x-10 =240 combine like terms

37x-19 = 240 add 19 in each side

37x =259

x = 7

plug into y = x-1 = 7-1 = 6 so y=6

and  z = y/3 =6/3 =2 so z = 2


Related Questions

Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!!

Answers

Answer: 2

Step-by-step explanation:

Emma needs 40 pieces of string to wrap presents. Each piece of string is 7.5 inches. If the ribbon is only available in feet, how many feet of ribbon does Emma need?

Answers

Answer:

2635*'fhhdgjvsvaksgwksygwi at gwjsksgeieh egg ejei

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

Answers

Answer:

x^2+6x+9

Step-by-step explanation:

x^2 +6x

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

Add 9 to each side

x^2+6x+9

Which of the following describes the translation of the graph of y=x? to obtain the graph of y=-x2+3?
reflect over the x-axis and shift right 3
o reflect over the x-axts and shift up 3
reflect over the y-axis and shift down 3

Answers

Answer:

Reflect over the x-axis and shift up 3.

Answer:

Reflect over the x-axis and shift up 3

Step-by-step explanation:

Emma spent $21.23 on two thousand bagels and a gallon of iced tea the price of the gallon of iced tea with $5.25 the following equation can be used to find d the price of the each dozen of bagels​

Answers

Answer:

$21.23 - $5.25 = d

Step-by-step explanation:

Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on the surface area of the pyramid?




A.
The surface area of the pyramid is multiplied by 10.
B.
The surface area of the pyramid is multiplied by 50.
C.
The surface area of the pyramid is multiplied by 100.
D.
The surface area of the pyramid is multiplied by 1,000.
E.
The effect on the surface area cannot be determined.

Answers

Answer:

C

Step-by-step explanation:

Since the question is asking for surface area and the dimensions are multiplied by 10, the surface area is multiplied by 10^2, or 100. (For area it would be 10^3, or 1000)

PLZZZ HELPP 3+7 - 1/2 is an example of A. a numerical equation B. an algebraic equation C. a numerical expression D. an algebraic expression

Answers

Answer:

A. a numerical equation

Step-by-step explanation:

What is the slope of the line that passes through the points (-8, -3) and
(-12, -3)? Write your answer in simplest form.

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 12, - 3)

m = [tex]\frac{-3+3}{-12+8}[/tex] = [tex]\frac{0}{-4}[/tex] = 0

Slope is rise per run. Rise is difference of y ordinates and run is difference of corresponding x abscissa.

The slope of the line that passes through the given points is 0

Given that:The two specified points are: (-8,-3), and (-12, -3)To find:


Slope of the line that passes through given points.

Finding the slope of a line passing through given points:

In graphing, we use Cartesian plane and assume y axis to be perpendicular and mostly we take height or depth related stuffs on y axis, that's why y ordinates will be considered to calculate the rise and x axis is like flat ground, thus x abscissa will be used to calculate the run.

Let the points' coordinates are denoted by symbols as:

[tex](x_1, y_1) = (-8,-3)\\ (x_2, y_2) = (-12, -3)\\ [/tex]

[tex]slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-3) - (-3)}{(-12)-(-8)} = \dfrac{0}{-4} = 0[/tex]

Slope is zero means you run whatever, the rise is 0, which means the line is not going to rise and stay flat (horizontal).

Learn more about slope of straight lines here:

https://brainly.com/question/1892775

What Is the fraction 2/8+4/8

Answers

Answer:

6/8 which simplifies to 3/4

Step-by-step explanation:

2/8 + 4/8

Since the denominator is the same, we can just add the numerators

2+4 =6

6/8

Simplifying the fraction by dividing the top and bottom by 2

3/4

What are the x intercept and the y intercept of this function

Answers

Answer:

D

Step-by-step explanation:

When you graph, you can see that the Line crosses the x at (-3,0) and then passes through the y at (0, 12)

Answer:

D

Step-by-step explanation:

To find the intercepts, set the variable you are not trying to find to 0. Also, in case you don't know, f(x) and y are the same thing here. So on this question, it would be:

X-Intercept:

0=4x+12

-12=4x

-3=x

so x intercept is (-3,0)

Y-Intercept:

y=4(0)+12

y=12

so y intercept is (0,12)

Allison owns a food truck that sells tacos and burritos. She only has enough ingredients to make 98 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint

Answers

Answer:

98=49bb+49tt

Explain:

so u have the same amount of both

What is the equation of a line passing through (-3, 7) and having a slope of -1 ?
5
O A.
y = -5x + 22
OB. y= 5x + 22
O C.
1 32
yaX+
5 5
32
y = --X+
5 5
OD
1
O E.
y ---X+
x + 22

Answers

Answer:

Using the information given, we can use the point-slope form:

y - y1 = m(x - x1)

y - 7 = -1(x + 3)

y - 7 = -x - 3

  +7        +7

y = -x + 4, this is slope-intercept form

x + y = 4, this is standard form

Alina and Skyla are both solving the equation 2x = 128.

Alina knows the solution to the equation because she knows a power of 2 that equals 128.

Skyla does not know a power of 2 that equals 128, so she graphs two equations, y = 2x and y = 128.

Use the drop-down menus to complete the explanation about how Skyla can use her graph to solve the equation 2x = 128.

Answers

Answer:

Skyla looks for the x-value at which the graph of the function [tex]2^x[/tex] intersects the horizontal line defined by the constant function: [tex]f(x)=128[/tex]

Step-by-step explanation:

Look for an answer that involves something like:

By looking for the point where both functions intersect, Skyla can find for which x value the following equation is verified: [tex]2^x=128[/tex]

She must read at which x-value the intersection occurs, and that is the answer.

Answer: Intersect at (7,128) and x=7

Step-by-step explanation:

The graph shown is a scatter plot:

Which point on the scatter plot is an outlier?

Point S
Point T
Point U
Point V

Answers

Point S is the answer

Answer:

B

Step-by-step explanation:

I am not good at math, but I know because it's basically out and not with the other dots lol.

What is the perimeter of a rectangle with a length of 40 feet and a width of 12 feet? A. 32 feet B. 64 feet C. 104 feet D. 480 feet

Answers

Answer:

C. 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle is p= 2(L+W). All you have to do is plug in your values.

I need help,please.this is an interior angle problem.

Answers

Answer:yes

Step-by-step explanation:

<BAC=<BDE

<BCA=BED

Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.
y=-5x + 2

Answers

Answer:

(0,2), (1,-3)

Step-by-step explanation:

Answer:

The first point is on the y-axis where you are pointing at (0,2) Plot the next point down 5 and 1 to the right at (1,-3).

Step-by-step explanation:

In slope intercept form, the coefficient x is the slope. That's -5 in this example. The constant is the y-intercept. That's 2 in this example.

determine the kinetic energy of 745-kg roller coaster car that is moving with a speed of 14.9 m/s

Answers

Answer:

≈82698.73 kg m²/s

Step-by-step explanation:

K.E.=1/2mv²=1/2×745×14.9²=82698.725 kg m²/s

if p(x) = x^99 + 99 , then find p(1)

Answers

Answer:

p(1)=100

Step-by-step explanation:

p(1) just means "substitute the value (1) in for (x) in the equation"

So,

[tex]1^{99}[/tex]+99= 100

(1 to any power is always equal to 1, including 0)

how would you change x + 3y = 18 -3x - 12y = -75 to eliminate y

Answers

Answer:  [tex]\bold{y=-\dfrac{1}{3}x+6}[/tex]

                [tex]\bold{y=-\dfrac{1}{4}x+\dfrac{25}{4}}[/tex]

Step-by-step explanation:

  x + 3y = 18

- x           -x

        3y = -x + 18

      ÷3     ÷3 ÷3

         y = (-1/3)x + 6

-3x - 12y = -75

+3x           +3x

        -12y = 3x - 75

       ÷-12    ÷-12 ÷-12

           y = (-1/4)x + (25/4)

Which of the following choices evaluates -2x2 + 4x, when x = -2?

Answers

Answer:

x = -2

-2(-2^2) + 4(-2)

-2(4) + -8

-8 + -8Answer = -16 is the answer.

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

Answers

Answer:

The discriminant is 0

That means there is one real zero

Step-by-step explanation:

3x^2 + 24x + 48

This in the form

ax^2 +bx+c

a=3 b=24 c = 48

The discriminant is

b^2 - 4ac

24^2 - 4(3)(48)

576-576

0

The discriminant is zero

That means there is one real zero

For which x is f(x)?=-3

Answers

Answer:

[tex]-7[/tex]

Step-by-step explanation:

[tex]f(-3)=-7[/tex]

Negative seven should be the answer

Question 1 (1 point)
What is the solution set to the equation x+1=2

Question 2 (1 point)
Consider the equation x +1 = 2.
Rewrite the equation by multiplying both sides by x +1
DO NOT USE A MULTIPLICATION SYMBOL

Question 3 (1 point)
Solve the equation for
5(2x - 4) - 11 = 4 + 3x

please answer all if possible. Thanks ​

Answers

Answer:

See below

Step-by-step explanation:

1) x=2-1

x=1

2) (x+1)(x+1)=2(x+1)

3) 10x-20 -11 = 4+3x

10x-3x=20+11+4

7x=35

x=5

How many solutions is this 2x+8=-2x+8

Answers

Answer:

Step-by-step explanation:

4x + 8 = 8

4x = 0

x = 0

onw

Answer:

One solution x=0

Step-by-step explanation:

2x+8=-2x+8

Add 2x to each side

2x+2x+8=-2x+2x+8

4x+8=8

Subtract 8 from each side

4x+8-8=8-8

4x = 0

x=0

There is one solution

x=0


Which sum or difference is modeled by the algebra tiles?

Answers

Answer:

C

Step-by-step explanation:

Blue is postive and Red is Negative so you would just write them down as seen and because x^2 is negative in the second equation there will be a subtraction sign to represent it.

What is the solutions for x in the equation -2x+14+10x=34

Answers

Answer:

x=2.5

Step-by-step explanation:

Put the like terms together, like so:

10x-2x=34-14

The result is this:

8x=20

Simplify to get:

x=2.5

Answer:

x= 2 1/2 or x=2.5

A cone has a height of 36 cm and a volume of 588π cm3. What is its radius? ( The question I am working on..)

Answers

Steps:

Shape: Cone

Solved for radius

Height: 36 cm

Volume: 588 cm3

Formula= r=√3v/πh

R= Radius

H= Height

Description:

Using the formula  r=√3v/πh, we have to calculate the radius.  We know that the height is 36 and the volume of 588. We use the formula and get the answer. The answer we get is r≈3.95cm.

Answer: r≈3.95cm

Please mark brainliest

Hope this helps.

Answer:

r = 7cm

Step-by-step explanation:

[tex]h = 36 \\Volume = 588pi\\r = \\588pi = \frac{1}{3}pir^{2} 36\\Cross-multiply\\1764pi=36pir^{2} \\Divide-both-sides-of-the-equation-by-36pi\\r^{2} =\frac{1764pi}{36pi} \\r^{2} = 49\\Square -root-both-sides-of-the-equation.\\\sqrt{r^{2} } =\sqrt{49} \\r = 7[/tex]

Find the value of n 5^10 ÷ 5^8=(1/5)^n

Answers

Answer:

5^10 / 5^8 = 5^2 = 25 so the equation becomes 25 = (1/5) ^ n. This means that n = -2.

Answer:

[tex]n=-2[/tex]

Step-by-step explanation:

[tex]\frac{5^{10}}{5^8}=(\frac{1}{5})^n[/tex]

Use the law of exponents.

[tex]5^{10-8}=\left(\frac{1}{5}\right)^n[/tex]

1/5 can be written with a base of 5.

[tex]5^{10-8}=\left(5^{-1}\right)^n[/tex]

Cancel the base 5 on both sides.

[tex]10-8=-1\times \:n[/tex]

[tex]2=-n[/tex]

Multiply both sides with -1.

[tex]n=-2[/tex]

Problema:1,745 kilómetros de distancia entre Mérida, Yucatán y Ciudad Victoria, Tamaulipas.1: 100 000 Escala en el mapa.¿Cuántos centímetros representan estos kilómetros en el mapa?

Answers

Answer:

1745 centimeters.

Step-by-step explanation:

The first thing is to pass the kilometers to centimeters, we know 1 km equals 100000 cm, therefore:

1745 km * 100000 cm / 1 = 174500000 cm

Now, when applying the scale, we have that it is 1: 100000, so we apply the scale:

174500000 * 1/100000 = 1745

That is to say that on the map those 1745 kilometers represent 1745 centimeters.

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