Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a
total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large
candles.

Answers

Answer 1
12 small candles, 16 large candles.

HOW TO SOLVE

Let x = the number of small candles sold
Let y = the number of large candles sold

You are given two pieces of information:

(1) Number of candles sold: x + y = 28
(2) Revenue based on cost per candles sold: 4x + 6y = 144

Two equations, two unknowns - Solving by substitution (x = 28 - y)

4 * (28-y) + 6y = 144
112 - 4y + 6y = 144
112 + 2y = 144
2y = 32
y = 16

If y = 16, back substitute to find x = 12

Double check using revenue generated:

4x + 6y = 144
4(12) + 6(16) =? 144
48 + 96 = 144

Related Questions

Solve the following system of equations:
y = 2x +1
y=-x+ 4

x=?
y=?​

Answers

Answer:

x = 1, y = 3

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = - x + 4 → (2)

Substitute y = 2x + 1 into (2)

2x + 1 = - x + 4 ( add x to both sides )

3x + 1 = 4 ( subtract 1 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2(1) + 1 = 2 + 1 = 3

Then solution is x = 1, y = 3

PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?

A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)

Answers

Answer:

(-4,5) is located on the 2nd quadrant

Answer:

(-4, 5)

Step-by-step explanation:

Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.

Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?

Answers

Answer:

4

Step-by-step explanation:

because 25×11= 275 and 500-275 =225

50x4=200

225-200=25 you can buy 4 and 25$ is left over

Help pls I have no clue how

Answers

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the regression line from the data given,

y = -0.38993x + 26.95184

Here, y = weekly hours of sport

x = Time to run

For x = 50 minutes,

y = -0.38993(50) + 26.95184

  = 7.45534

  ≈ 8

Since, slope of the given regression line is negative, correlation will be negative (n).

You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf. How many people can 1 meatloaf feed? It says it serves 8. How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall. What is the net weight of the contents of 1 canister? 15 ounces. How much does a canister cost? $2.19 How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help. Nutritional label showing the serving size is 1/3 cup (30g), and there are about 14 servings per container.

Answers

Let's first find out how much breadcrumbs we're going to need:
1 3/4 cups → 7/4 cups per meatloaf
7 cups/4 * 1 meatloaf * 7 meatloafs = 49/4 cups of breadcrumbs needed in total.

Now let's find out how many cups are in a canister:
1/3 * 14 = 14/3 cups (we're given 1/3 a cup is a single serving size, and each canister holds about 14 servings)

Here's the algebraic way of solving:
14/3 n ≥ 49/4, where n is the number of canisters needed. I'm using ≥ because we cannot buy only part of a canister. Multiply both sides by 3/14:
14/3 n * 3/14 ≥ 49/4 * 3/14
We can factor out a 7:
n ≥ 7/4 * 3/2
n ≥ 21/8 → 2 5/8
Rounding up, you're going to need three canisters:
28/3 (2 canisters) < 49/4 (needed) < 42/3 (3 canisters)
9 1/3 < 12 1/4 < 14

Ms. Webb bought 3 sparkly markers that are $1.20 each and 4 glitter glue sticks that are $1.05 each. These were on sale for 25% off. What is the discount amount?

Answers

Answer:

5.85 is the total after the discount. The amount taken off is 1.95.

Step-by-step explanation:

PLZ HELP WILL MARK BRAINLEST work out both

Answers

Answer:

3*6+5= 23

Step-by-step explanation:

1.) 3•6+5
18+5
23

2.) 7^2-18/3
49-6
43

What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2

Answers

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Tammy's allowance is $5.00. She did extra chores around the house and earned an
extra $1.75. She goes to the store with her older sister and buys an ice cream for
$2.25. On her way home she finds $1.00. How much money does Tammy have?

Answers

Answer:

5.50 this should help :p

please help me . i will help you whenever you want

Answers

Answer:

6.7cm

Step-by-step explanation:

We apply Pythagoras Theorem twice.

First we find out the diagonal of the base of the cuboid.

The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).

Then we find out AB by applying Pythagoras Theorem.

AB^2 = 5^2 + [sqrt (20)]^2

AB^2 = 45

AB = 6.7cm (correct to 1 decimal place)

i need help with these questions...
k + 8 ≥ 18
2x + 3 ≤ 13
solve for the variables

Answers

k ≥ 10

x ≤ 5

I think these are the answers

Jasmine launches a model rocket from a cliff. The rocket goes up 16.8 feet above the cliff, then it drops 28.1 feet into the ocean below.

Answers

Answer:

1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation

Tryna cheat off the I-ready diagnostics huh

Answer:

The answer to this question is that  1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation:

Good luck :)

Answer ASAP this practice is due tomorrow

Answers

Answer:

i think it's Z = 8,4

I'm not sure

Reduce to simplest form.
-7/12 +3/8

Answers

Answer:

-5/24

Step-by-step explanation:

here u gooo :).....

Andre and Elena are reading the same book over the
summer. Andre says he has read of the book.
Elena says she has read 20 more pages than Andre. If
Elena is on page 55, how many pages are in the book?
Lin has drawn a diagram to solve this question.
Find her error. Then explain her mistake. Use the
sketch tools to help.

Answers

wait the question is asking how many pages are in the book? i'm not sure we know that info, all we know is that Elena is on page 55, and Andre is on page 35. also, could you send a pic of the diagram? this question needs more info to be solved.

Combine as indicated by the signs. 2x/y2-x2 - x/y-x​

Answers

2^6+x+y^2 .....................

Answer: (2x - xy - x^2) / (y + x)(y - x)

Step-by-step explanation: *graded correct

First simplify:              2x / y^2 - x^2 = 2x / (y+x)(y-x)

Next subtract x / y-x: 2x / (y+x)(y-x) - x / y-x

Get:                              x(2-y-x) / (y+x)(y-x)

Simplify numerator :   (2x - xy - x^2) / (y+x)(y-x)

please help mee please

Answers

Answer:

57 degrees

Step-by-step explanation:

180-66 = 114

114/2 = 57

57 degrees
Hope this helps!!!!

Put your answers in the green
boxes.

Answers

Answer:

1. 2m^2-2n^2

Step-by-step explanation:

1. (m-n)(m^2+mn+n^2)

m^2=m

n^2=n

=(m-n)(m+mn+n)=(m-n)(2m2n)

Multiple

=2m^2-2n^2

please help me! here’s a picture

Answers

Answer:

I would think the answer is 28?

im not really that sure

2y = -1x -8
rewrite each of the following equations in y= mc + b form

Answers

Answer: y=-1x-8

Step-by-step explanation:

The first step is to: Move the 'X' to the right side of the equation.

The second step is to: Divide the 'Y'

But since the 'X' is already on the right side you will just divide the 'Y'. If the 'X' was on the left then you will follow those steps that I gave you at the beginning in order to get it in the y=mx+b.  

So it will look like this:

2y=-1x-8

y=-1x-8

y= -1(is the slope)x-8(is the Y-intercept)

So, if you have to graph this you will graph it starting with negative 8 as the y-intercept. Then you will go down one and over 1.

answer for brainlist and extra points!! <3

Answers

Answer:

75

Step-by-step explanation:

45+(2*15)

45+30

75

Hope it helped!

Answer:

Equation: 45 + 2(x)

Answer: 45 + 2(15) = 45 + 30 = $75

Step-by-step explanation:

45: # of money she had

2: the amount of money she makes when she completes her chores

x: the number of days she completes her chores

Hope this helps!

please solve these problems

Answers

Answer:

1/3x - 2y - 5x + 8

Step-by-step explanation:

Given:

1/3x - 2y - 5x + 8

1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8

2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression

3. A constant is a term without a variable. 8 is the constant in the expression

4. The variables in the expression are: x and y

5. The coefficients are; 1/3, -2, and -5

Please help, I don’t know how to solve this

Answers

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

o figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

40

her age was 36 she added 4nwhich made 40 then doubles makesn80

9514 1404 393

Answer:

  76

Step-by-step explanation:

For age 'a', the special number was supposed to be ...

  2a +4

Tammi's mother actually calculated it as ...

  2(a +4) = 2a +8

a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be 80 -4 = 76.

the question is:

Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.

the equation: 2^-1+5^0

Answers

Answer:

That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.

plz rate me brainiest

The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?

A.
5 units

B.
25 units

C.
75 units

D.
50 units

Answers

Answer:

It is 25 units

Step-by-step explanation:

The triangles are equal

Answer:

25 Units.

Step-by-step explanation:

The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.

Which of the following values are solutions to the
inequality –8 + 2x > 5

Answers

Answer:

6

Step-by-step explanation:

i guess

help me someone:((!!!!!

a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?​

Answers

Answer:

Hope this helps!

Step-by-step explanation:

2L + 3S = 83

 

4L + 8S = 197

 

Multiplies the top equation by -2.

-4L + -6S = -166

 

4l  + 8S = 197

 

 

Adding them together...

 

2S = 31

 

S = 31/2 = 15.5

 

Plugging into the first equation:

 

 2L + 3S = 83

 

 2L + 3(15.5) = 83

 

2L + 46.5 = 83

 

2L = 83 - 46.5

 

2L = 36.5

 

L = 36.5/2 = 18.25

 

check:

 

2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83

 

4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197

 

The Large box weighs 18.25

The small box weighs 15.5

(05.03 LC) What is the initial value of the function represented by this graph?
0
1
5
6

Answers

Answer: it is 1 :)

also i took the quiz and got it right! hope this helps!!

Samantha plays a game in which she rolls two standard dice and finds the sum of the dots facing up. Which shows all the possible outcomes for each roll of the dice?

Answers

Answer:

Kindly check attached picture

Step-by-step explanation:

A standard dice has 6 faces numbered {1,2,3,4,5,6}

For 2 dice, n = 2 ; sample space = n² = 6² = 36

The sum of the 2 upward facing dots:

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);

(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);

(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}

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