In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?

Answers

Answer 1

Answer:

Step-by-step explanation:

we will set up two equations:

let c be candy

let m be mints

3c+2m=10.80

c+3m=5.35, c=5.35-3m

3(5.35-3m)+2p=10.80

c=3.10

m=0.75

Answer 2

Let x be the cost of candy per pound and y be the cost of mint per pound.

[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]

Rewrite the second equation for substitution:

x = 5.35 - 3y

Substitute the equation above into the first equation:

3(5.35 - 3y) + 2y = 10.80

16.05 - 9y + 2y = 10.80

-7y = -5.25

7y = 5.25

y = 0.75

∴ The price of mint per pound is $0.75.


Related Questions

What is the conjugate of
(-5 + 4i)?

Answers

Answer:

the answer to that is -1i

Step-by-step explanation:

cause if you add negative and positve you get to subtract it and get the sign of the highest number

For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 6. The total number of people that can be seated in the school cafeteria with these tables is 160. Which equation represents this situation? (hint draw a picture) *

Answers

Answer:

i am not smart

Step-by-step explanation:

Which of the following equations are equivalent? Select three options.
2+x=5
X+ 1 = 4
09+X=6
X+(-4)=7
0-5+ X= -2

Answers

Answer:

2+x=5

X+1=4

0-5+X= -2

These are the answers

Are the ratios 2:4 and 5:6 equivalent? yes or no ​

Answers

Answer:

No

Step-by-step explanation:

If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even

I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!

Answers

Answer:

x = 3

y = 4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

H(x)=(x+5) ^2
If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?

Answers

The answer is 10
............

Please help quick will give brainliest!

Answers

Answer:

There is a vertical asymptote at x = 4 because lim g(x) = ∝ and lim g(x) = -∝

Are 4x and 15 + x equivalent expressions? EXPLAIN

I need help FAST!

Answers

Answer:

x=5

Step-by-step explanation:

Step 1: you want to have x alone on one side so I will subtract one x from both sides (to remove the 1 x on the right side). Now we're left with 3x=15.

Step 2: Divide both sides by 3 (to remove the 3 in front of 3x). Now we have x=5.

The quantity of sugar and milk in each cup of tea
can be represented as an ordered pair.
A. True
B. False
SUBMIT

Answers

true is the correct answer

Find the value of x. Then find the measure of the red arc.

Answers

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

The value of x = 70 degrees, and the measure red arc of 110 degrees,

In the case when (2x - 30) degrees  and x degrees are given.

Calculation of the value of x and red arc:

Since

x + (2x - 30) = 180

3x - 30 = 180

3x = 210

x = 70

Now

= 2(70) - 30

= 140 - 30

= 110 degrees

hence, The value of x = 70 degrees, and the measure red arc of 110 degrees

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Determine a series of transformations that would map Figure G onto Figure H. I need help ASAPPP PLEASEEE

Answers

Answer:

A translation followed by a rotation would do it if they are congruent, which they should be.

Step-by-step explanation:

A transformation to move the corresponding points of each shape to the other, and a rotation to rotate the shape until the shapes map onto each other.

need help , ill give a brainlist to the best answer ​

Answers

Answer:

-7, 7

Step-by-step explanation:

The cash register subtracts $4.00 from a $20 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation

Answers

Y=-4x+20 I’m pretty sure

HELP IT’S URGENT!!!!!!!

Answers

Answer:

Step-by-stepMONNKKKKKK explanation:

I don’t know luv sorry yay I

will give you brianlist

Answers

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

What is the measure of arc HT?​

Answers

Answer:

step 1. mHT = 2(74) = 148°. the arc measures twice the angle when crossing the circle.

can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8

Answers

Answer:

B) 10% of 50

Step-by-step explanation:

B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej

correct options arere A,B,D

Eight minus a number divided by three is greater than or equal to eleven

Answers

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

The solution is x ≤ -9

What are Inequality Equations?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number be x

8 - x/3 ≥ 11

Subtracting 8 on both sides , we get

-x/3 ≥ 3

Multiplying by 3 on both sides , we get

-x ≥ 9

Interchanging the sign on both sides , we get

x ≤ -9

Hence , the solution is x ≤ -9

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Graph the image of rectangle STUV after a reflection over the line y= –x

Answers

Answer:

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Step-by-step explanation:

The image of the rectangle STUV after a reflection over the line y= –x is attached below.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)

We have to graph the image of the rectangle STUV after a reflection over the line y= –x

The points obtained after graphing ate,

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.

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Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5

Answers

1 9/26

Convert any mixed numbers to fractions.

Then your initial equation becomes:

7/2÷13/5

Applying the fractions formula for division,

=7×5

 2×13

=35/26

Simplifying 35/26, the answer is...

       35/26=1 9/26

Answer:

1 [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Given

3 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{5}[/tex] ← change mixed numbers to improper fractions

= [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{13}{5}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{13}[/tex] ← multiply numerators/ denominators together

= [tex]\frac{35}{26}[/tex]

= 1 [tex]\frac{9}{26}[/tex]

An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?

Answers

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

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is y=1-x to the second power linear or nonlinear

Answers

Answer:

Non Linear

Step-by-step explanation:

Its non-linear because when you put X to the second power, it will change the function into a quadratic function

A 40% discount is the same as paying

Answers

A 40% discount would be the same as paying 60% of the original price. Hope this helps

Answer:

60%

Step-by-step explanation:

can you please help me solve this equation using substitution? I’ve been trying to solve it for so long and can’t do it.

2x-y=5 and 3x+y=-9

Answers

Answer:

x=-4/5 y= -33/5

Step-by-step explanation:

y=-3x-9

2x+3x+9=5

       5x=-4

x=-4/5

Then plug it in into an equation.....2(-4/5)-y=5

-8/5-y=25/5

-y=33/5

y=-33/5

You can check if you want

Answer:

x = -4/5, y = -6 3/5

Step-by-step explanation:

The way to use substitution to solve is to isolate (Put it on one side without anything else on that side of the equation) a variable. We can use the first equation to isolate y. We can add y on both sides to get that 2x = y + 5 and then subtract by 5 on both sides to get that y = 2x - 5. Next, we can substitute 2x - 5 in for y in the second equation because y = 2x - 5. We would get that 3x + 2x - 5 = -9, so 5x - 5 = -9, and if you add by 5 on both sides, you get 5x = -4. Finally, we can divide by 5 on both sides to get that x = -4/5. If you want to find y, we can find it by substituting x into the equation 2x - 5 = y. 2 * -4/5 - 5 is equal to y, so -8/5 - 5 = y, and lastly, y = -6 3/5

Question 4 (3 points)
What is the sum of the angle measures in this shape?
degrees
(I have to fill in the blank, please hurry I’ll give brainliest!!)

Answers

The sum of the angles in a triangle is 180°, If I remember correctly.

Solve for x
Solve for x

Answers

Answer:

23.1

Step-by-step explanation:

14/20*x/33

Cross multiply

14*33=20*x

462=20*x

462/20=x

23.1=x

Hope this helps :)

Answer:

According to the ratio of segments:-

[tex]\frac{20}{14} =\frac{33}{x}[/tex]

[tex]20x=14(33)[/tex]

[tex]20x=462[/tex]

[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!

find the product of (2x^2+2x-3)(4x^2-3x+6

Answers

Answer:

=8x^4+2x^3−6x^2+21x−18

Step-by-step explanation:

(2x2+2x−3)(4x2−3x+6)

What is the length of one side of this regular pentagon if the area is 50 and apothem is 4?

Answers

Answer:

5

Step-by-step explanation:

i took the test

The required length of one side of the given regular pentagon is  5 units.

What is a polygon?

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem

Since the pentagon is regular, all sides are equal, so we can write:

Perimeter = 5 * Length of one side

Substitute in the first expression

50 = (1/2) * 5 * Length of one side * 4

50 = 10 * Length of one side

Length of one side = 5

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Mr Lee bought 3 packs of meat for barbecue party. Each packs weighed 7 1/2 kg. The price for the meat was $3 pork. How much did Mr Lee bought?​

Answers

Answer:

68.5

Step-by-step explanation:

each pack 7.5 kg

price for each pack $3

he bought 3

7.5 x 3=22.5

22.5 x3=66.5

Please help I only have 1 hour left .

Answers

Answer:

c

Step-by-step explanation:

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