Mathematics Middle School

Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell?

Answers

Answer 1

Answer:

The number of large size candles sells are 12 and the number of small size candles are 5 .

Step-by-step explanation:

As given

Sia sells large candles for $3 each and small candles for $2 each.

She sold 17 candles for $46.00.

Let us assume that the large size candle sells are x .

Let us assume that the small size candle sells are y.

Equation becomes

x + y = 17

3x + 2y = 46

Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .

3x - 3x + 2y - 3y = 46 - 51

-y = - 5

y = 5

Put in the equation x + y = 17 .

x + 5 = 17

x = 17 - 5

x = 12

Therefore the number of large size candles sells are 12 and the number of small size candles are 5 .

Answer 2

Sia sells 12 large candles and 5 small candles in order to earn $46 and this can be determined by forming the linear equation in two variables.

Given :

Sia sells large candles for $3 each and small candles for $2 each.She sold 17 candles for $46.00.

Let the total number of large candles be 'x' and the total number of small candles be 'y'. So the linear equation that represents the total number of candles is:

x + y = 17

x = 17 - y       ---- (1)

Now, the linear equation that represents the total earning of Sia is:

3x + 2y = 46     ---- (2)

Substitute the value of 'x' in equation (2).

3(17 - y) + 2y = 46

Simplify the above equation in order to determine the value of 'y'.

51 - 3y + 2y = 46

51 - 46 = y

y = 5

Now, substitute the value of 'y' in equation (1).

x = 17 - 5

x = 12

So, Sia sells 12 large candles and 5 small candles in order to earn $46.

For more information, refer to the link given below:

https://brainly.com/question/22122594

Related Questions

which is most likely the equation of the line shown on the graph?

Answers

The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to 
y = x + 3

Hope this helps!

Answer:

The equation of line is y=x+3.

Step-by-step explanation:

Consider the provided graph.

The slope intercept form of a line is:

y=mx+c

Where m is the slope and c is the y intercept.

y-intercept is a point where the value of x is 0.

From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.

Now find the slope of line as shown

[tex]m = \frac{Rise}{Run}[/tex]

Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:

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

Now substitute the value of m and c in the slope intercept form.

y=x+3

Hence, the equation of line is y=x+3.

What is the area of the object Below?
A.
158 sq cm
B.
102 sq cm
C.
94 sq cm
D.
142 sq cm

Answers

split the image into 2 rectangles
so
A = (8 x 4) +(10 x 7)
A = 32 + 70
A = 102 

answer
B. 
102 sq cm
7 x 10 = 70

4 x 8 = 32

32 + 70 = 102

102 is your answer. :-)

Main Idea: To evaluate an exponential growth or decay function, substitute a value for the exponent variable and simplify.

Evaluate each exponential function for the given value.

Answers

Hey there!

In order to do this, we can just plug in 1 where it says t. It's exponential decay because the decay factor is less than one. We have:

f(t) = 2 * (1/2)^3 =
2* 1/2 * 1/2 * 1/2 =
2 * 1/8 =
2/8 =
1/4

Hope this helps!

What is the volume of the cube?




A.


1944 mm3


B.


54 mm3


C.


324 mm3


D.


5832 mm3
PLEASE HELP , I WILL MARK BRAINLIEST ..

Answers

Hi !
The volume of the cube is :
18 × 18 × 18= 5 832 mm³
The answer is D.

Find the quotient of -5x^3+20x^2-25x/-5x
A: -5x^3+20x^2+5
B: x^2-4x+5
C: -x^2-4x+5
D: x^2+4x-5

Answers

-5x^3+20x^2-25x/-5x
divide -5x into each term
=(-5x^3/-5x) + (20x^2/-5x) + (-25x/-5x)
when dividing exponents, subtract
=1x^2 - 4x + 5
=x^2 - 4x + 5

ANSWER:
B) x^2 - 4x + 5

Hope this helps! :)

What is the slope of the line through (−9,6) and (−6,−9)

Answers

m = y2 - y1 / x2 - x1 is the slope equation.

m = -9 - 6 / -6 + 9

m = -5

The slope is -5.

Hi!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}[/tex]

[tex]\frac{(-9)-6}{(-6)-(-9)}=\frac{-15}{3}=-5[/tex]

Therefore, the slope is -5, which is our final answer.

Hope this helps you!

Have a great day! :)

:D

-Charlie

Thank you!

In a fifth grade class 3/4 of the students like to go to the movies.Of the students who like to go to the movies 2/3 of them like action movies.What fraction of the students in the class like to go to action movies?

Answers

2/3 of 3/4

[tex] \frac{2}{3}* \frac{3}{4} = \frac{1}{2}=0,5 [/tex]   or 50% of the students like to go to action movies.

find the GCF of 15x^4 and 35x^2

Answers

Find the factors for each term in order to find the GCF
your answer would be: 5x^2
Your answer would be 5x^2

The table of values represents a quadratic function.

What is the average rate of change for f(x) from x = 0 to x = 10 ?

x ​f(x)​
​−10​ 184
​−5​ 39
0 ​−6​
5 49
10 204

Answers

(f(10) -f(0))/(10 -0) = (204 -(-6))/10 = 21

The average rate of change on the interval is 21.

The average rate of change for any function f(x) is the ratio of change in its y-values to change in its x-values for any two particular points on the curve of the function f(x). Mathematically, we can write it as follows :-

Average rate of change = [tex] \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]

It says to find the average rate of change from x = 0 to x = 10.

From the given table, x = 0 corresponds to y = f(0) = -6 and x = 10 corresponds to y = f(10) = 204.

So we have two points A(0, -6) and B(10, 204).

Using the above formula, we can find average rate of change from A to B.

Average rate of change from (0, -6) to (10, 204) = [tex] \frac{204-(-6)}{10-0} =\frac{204+6}{10} = \frac{210}{10} =21 [/tex]

Hence, the final answer is 21.

There were n signers of the Declaration of Independence. The youngest was Edward Rutledge, who was x years old. The oldest was Benjamin Franklin, who was y years old. X is 25% of 104, 7 is 10% of y, and n is 80% of y. Y is what percent of (n+y-x)?

Answers

X = .25 x 104 X=26
Y= 7/.10 Y=70
N= .8 x 70 N=56
n+y-x 56+70-26=100

70/100 = .7 or 70%
The answer is: Y is 70% of (n+y-x)

Answer:

70%

Step-by-step explanation:

First we calculate X using the following formula:

X = 25/100 * 104

X = 0.25 * 104

X = 26

Then we calculate Y using the following formula:

7 = 10/100 * Y

7 = 0.1 * Y

7/0.1 = Y

Y = 70

Then we calculate N as per the formula below:

N = 80/100 * Y

N = 0.8 * 70

N = 56

Finally using the formula mentioned in question we derive Y what percent of N + Y - X:

= Y/ (N + Y - X) * 100

= 70/ (56 + 70 - 26) * 100

= 70/100 * 100

= 70%

what is 2.8 millimeters written in expanded form?

Answers

It’s simple, 2.0 + .8= 2.8

Expanded form is a way to write a number that shows the value for each place.

[tex] 2.8 \; mm = 2\; mm+\; 0.8\; mm [/tex]

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
b.
P’(6, 7), Q’(4, 7) , R’(3, -1) and S’(7, -1)
c.
P’(-4, 1), Q’(-6, 1) , R’(-7, -7) and S’(-3, -7)
d.
P’(6, 1), Q’(4, 1) , R’(3, -7) and S’(7, -7)

Answers

We apply the rule to each of the vertices:
 (x, y) ---> (x-5, y + 3)
 P (1,4) ---> (1-5,4 + 3) >> (-4, 7)
 Q (-1,4) ---> (-1-5,4 + 3) >> (-6, 7)
 R (-2, -4) ---> (-2-5, -4 + 3) >> (- 7, -1)
 S (2, -4) ---> (2-5, -4 + 3) >> (-3, -1)
 Answer:
 a.
 P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Answer:

a. P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Step-by-step explanation:

Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle.

Answers

pentagon angle sum=(n-2)*180=3*180=540
subtract all given angles you get 115

Answer:

115

Step-by-step explanation:

The equation of the graphed line in point-slope form is what

Y-0=-3/5(x-3)

3y=-5(x-3)

Y-3=-3/5(x-0)

And it’s equation in slope-intercept form is what

Y=-9/5x+3/5

5y=-3(x-3)

Y=-3/5x+9/5

Answers

(-2,3) (3,0)

find slope
m= 0-3/(3+2) = -3/5

point slope is y-y1=m (x-x1)

point is (3,0) and m=-3/5

plug and chug

y-0=-3/5(x-3)

y=-3/5x+9/5

hope that helps

This is an ADDMATHS QUESTION so I'm not sure if anyone can help me but please try to ㅠ ㅠ: Find the equation of the normal to the curve y=ln(2x^2 - 7) at the point where the curve crosses the positive x-axis. Give your answer in the form ax+by+c=0 , where a, b and c are integers.

Answers

You can go through the effort of determining the zero of the function analytically and evaluating an analytic expression for the derivative at that point, or you can let a graphing calculator do that heavy lifting. Since the numbers have to be "nice" for your equation to have the desired form, it is easy to know what to round to in the event that is necessary (it isn't).

We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
.. x +8y -2 = 0
This equation crosses the positive x-axis at (0, 2). I used a graphing calculator, you could brute force it if you'd like.

First, take the derivative of the equation given:
[tex]y = ln(2x^2-7)[/tex]
[tex]y' = \frac{4x}{2x^2-7} [/tex]

At 2, the function has a derivative of 8 (just plug in 2 to y'). So, the perpendicular to that has to have the slope -1/8 because of the negative-inverse rule. We have this until now:
[tex]y = -\frac{1}{8}x -2[/tex]

Now, we have to get a 0 on the right side, so, just get everything on the other side, and you are done. 

Find the slope of a road that rises 12 feet for every horizontal change of 100 feet.

Answers

The answer should be 0.12 because you have to do rise over run to get slope. So, 12 divided by 100 gets you 0.12.

determine the measure of angle bpc in the figure

Answers

from the last answer
angle CPD = 38°
agian,
angle BPC + angle CPD = 90° ( sum of complementary angles)
or, angle BPC + 38 = 90
or, angle BPC = 90 - 38
or, angle BPC = 52°
therefore BPC = 52

I need help please help please please please

Answers

Problem 1 is asking "the other cost."

It is described in the problem statement as "a cost for every one-tenth of a mile traveled." It is described in the table header as "Mileage Cost in Dollars."

The only value in the "Mileage Cost in Dollars" column is 1, which corresponds to a distance of 1/10 mile. So, it appears the numerical value of "the other cost" is $1 for each tenth-mile traveled.

___
The problem statement does not make clear whether the desired answer is the description of the other cost, or its numerical value.

Can someone please help me

Answers

Hey there! :D

So, those both will be equal to 180 degrees. Consecutive angles are supplementary. 

2x-20+3x= 180

5x-20=180

Add 20 to both sides.

5x=200

x= 40

I hope this helps!
~kaikers
2x-20+3x=180
Add like terms
5x-20=180
Add 20 on both sides
5x=200
Divide by 5 on both sides
X=40

The length of the bed is 9 feet and 6 inches. The sheet is made for a bed that is 79 inches. How short is the sheet?

Answers

1 foot = 12 inches
9 * 12 = 108 + 6 = 114 inches ( length of the bed)

114 - 79 = 35 inches too short

Answer:

its 2 feet and 11 inches

Step-by-step explanation:

What happens if the correlation coefficient equals 0?

Answers

It means the variables are independent.

Rick discounts a 100-day note for $25,000 at 13%. The effective rate of interest to the nearest hundredth percent is


A. 13.48%.
B. 13.03%.
C. 13.02%.
D. 13.49%.

Answers

First we have to calculate the amount of interest. This can be done by using the interest formula, I = P x R x T.

= 25,000 x 0.13 x (100/365)
= 902.78

This will be deducted from the principal amount, which is 25,000. 

= 24,097

Last, we plug our values in to the effective rate formula for interest: 

[tex] \frac{Interest}{Proceeds x Time of Note} [/tex]

902.78/6693.6722

= 13.487066

After rounding, we come to our final answer, which is D, 13.49%. 

hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the account. with x representing the number of years since she first opened the account and y representing the number of dollars in it. what is the slope of the line?

Answers

if we take the graph with x as number of years and y as amount of dollars in it as mentioned in the equation;
gradient of the graph/ slope (m) = Change in y / change in x 
so if we take a certain portion of the graph 
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
              = 28

Can someone plz give the answers to 13&14 people said that couldn’t see it so I put this one up :)

Answers

13. (1/3)*(3/4) = 1/4 . . . . of the aquarium animals are clown fish

14. 4*(1/5) = 4/5 . . . . . . . pounds of beef in 4 hamburgers

What is the prediction for the outcome when the independent variable is 12?

Answers

36?
if the independent variable is on the x axis, and based on the given coordinate, the outcome is always triple the amount of the input.
multiply 12 by 3
12x3 is 36.
I THINK that 36 is the correct answer.

which of the following expressions represents the distances between -4 and 5 on the number line? A.|-4+5| B.|4-5| C.|-5-(-4)| D.|-4-5|

Answers

Answer:

Option C - [tex]|5-(-4)|[/tex]

Step-by-step explanation:

To find : Which of the following expressions represents the distances between -4 and 5 on the number line?

Solution :

According to number line,

<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->

-∞         -5   -4    -3   -2   -1   0   1    2   3   4    5    6                +∞      

The distance between -4 and 5 is given by,

[tex]d=|5-(-4)|[/tex]

Solving the expression,

[tex]d=|5+4|[/tex]

[tex]d=|9|[/tex]

[tex]d=9[/tex]

Therefore, The expression represents the distances between -4 and 5 on the number line is [tex]d=|5-(-4)|[/tex]

So, Option C is correct.

Answer:

D is the  answer

Step-by-step explanation:

|-4-5|=|-9|=9

the distance between -4 and  0  is 4 .....and between 0 and 5 is 5

so the distance will be 4+5=9

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height?

Answers

15 inches.

The side length of the base is 4. Find the surface area of the base only by squaring the side length - 4² - which is 16. The surface area of the base is 16 in². 

The surface area of the entire pyramid can be found using this equation:

[tex]SA = B + \frac{1}{2} nbl[/tex] 

Where:
- SA is the surface area (136 square inches)
- B is the area of the base (16 square inches)
- n is the number of triangles (4, because it's a square pyramid)
- b is the base length (4 inches)
- l is the slant length

Note that we have many parts of this equation, and all we need is the slant length. So, let's format the equation with what we have:

[tex]136 = 16 + \frac{1}{2} * 4 * 4 * l[/tex]

So then we want to solve for l, the slant height. So, start by subtracting 16 from each side. This would give us: 

[tex]120 =  \frac{1}{2} * 4 * 4 * l[/tex]

Now, multiply both sides by 2 to get rid of the fraction:

[tex]240 = 4 * 4 * l[/tex]

Finally, divide both sides by four, twice (divide by 16):

[tex]15 =  l[/tex]

So, we know that the slant height of this pyramid is 15 inches.

Find the value of X. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. Please show steps.

Answers

1. That is a right triangle, what means that it has a angle of 90°, so you can calculate the value of "x" "as below:

 Tan(α)=Opposite leg/Adjacent leg

 The angle α is 60°, so the opposite leg is "x" and the adjacent leg is 5.

 2. When you substitue these values, you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(60°)=x/5
 x=(5)(Tan(60°)
 x=5√3

 Then, the answer is: The value of "x" is 5√3

Name a geometric technique that can give an illusion of depth to a two-dimensional figure.
a.
Fibonacci sequence
c.
Golden mean
b.
one-point perspective

Answers

golden mean is the asnwer
Answer: option c. one-point perspective

Justification:

The one-point perspective is a mathematical (geometric) technique that permits to represent the real objects (which are in 3D) in a flat sheet of paper (or canvas or any flat surface use to draw), which is a 2-D figure.

With this technique, the objects appear smaller as they are further away which is what gives the illusion of 3D (perspective).

To get the effect of 3D, the lines on the drawing converge towards a point on the horizon line.


The local water slides have 80 employees, of which 30% are temporary. How many temporary employees are there ?

Answers

30% of 80 is 24 56 of them are permanent
Other Questions
Read the passage and answer the question. [1620] . . . so as there died sometimes two or three of a day, in the foresaid time; that of one hundred and odd persons, scarce fifty remained. And of these in the time of most distress, there was but six or seven sound persons, who, to their great commendations be in spoken, spared no pains, night nor day, but with abundance of toil and hazard of their own health, fetched them wood, made them fires, dressed them meat, made their beds, washed their loathsome clothes, clothed and unclothed them; in a word, did all the homely and necessary offices for them which dainty and queasy stomachs cannot endure to hear named; and all this willingly and cheerfully, without any grudging in the least, showing herein their true love unto their friends and brethren. In the above passage, which word best describes how Bradford feels about the caretakers of the ill? Which of the following injuries can be life threatening? head injuries neck injuries back injuries all of the above el verbo to be y los pronombres personales en ingles What were the strengths and weaknesses of wilson's vision for postwar world? Find the area of the figure. PLEASE HELP FAST!!According to the density profile shown here, at which depth would you find the coolest, saltiest waters?A. depth BB. depth AC. depth CD. You cannot tell from this graph Determine the [oh] of a solution that is 0.125 m in co32. What volume of a 0.25 m phosphoric acid solution is required to react completely with 1.0 l of 0.35 m sodium hydroxide? Why did W.e.b. DuBois move to Ghana? a.to escape segregation b.to work on a literary project c.to protest against US politics d.to hear Martin Luther King speak How will buying auto insurance help you? Periodic Motion Problem, how to tackle this beast? PLEASE PLEASE HELP ME Choose the type of body system that is described below.(internal system, muscular system, circulatory system)1.the organs inside of you 2.your arm muscles 3.system improved by jumping 4.system that includes the heart muscle 5.the blood vessels in your body 6.a healthy liver 7.good muscle tone 8.system helped by positive stress :9.larger fibers produced : Find the vertex of the graphed function. f(x) = |x 4| + 3 vertex of function The vertex is at ( , ). What is shown using a medium camera shot in Monster? Evaluate the indefinite integral: 1/( t^2 6t + 45) dt Mario's class voted on a location for a field trip. 3/4 of the class voted for the museum. 1/8 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park? Help quick please! im so stuck with the second one! (the first ones answer is 154, i think.) A reaction has the following values. Calculate G. H = -85.5 kJ/mole S = 0.133 kJ/mole.K) Temperature = 110 C 1. -35 kJ 2. -64 kJ 3. -86 kJ 4. -136 kJ Is the point (1,3) a solution to the linear equation 5x-9y=32? the prime factorization of a certain number is 2 to the 3rd power times 3 times 5 to the second power what is the number and how did you get it