How the heck do I do this
You sell small and large candles at a craft fair. Small candles cost $4 each and large candles cost $6 each. You collect $144 after selling a total of 28 candles. How many of each type of candle did you sell? Write a linear system to represent the situation. Be sure to define your variables.
Answer: Small Candle = 12, Large Candle = 16
Step-by-step explanation:
Equation is this, s+l=28 2nd equation is 4s+6l=144
now you multiply every number in the second equation by -6 since positive 6 is the second equations second constant. Now you got -6s-6l=-168 And 4s+6l=144. The -6l and positive cancel so now you got -6s + 4s = -168+144. Now you got -2s = -24. Divide them both by negative two then you get s = 12. 28 candles total - 12 = 16 so 16 large candles and 12 small. L = large candles, S = small candles.
Answer:
8 small candles
16 large candles
Step-by-step explanation:
1. Approach
Set up a system of equations to solve this problem. Call the number of small candles sold (x), and the number of large candles sold (y). Have one expression model the amount of money earned, the other model the number of candles sold. Then, solve this system of equations using the process of elimination. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate. Then one can solve for the other variable, and finally, substitute the value of the variable that one found back into one of the equations, and solve for the value of the other variable.
2. Set up a system of equations
Use the given information to set up a system of equations to describe the amount earned, and the amount sold
x + y = 28 -> amount sold
4x + 6y = 144 -> amount earned
3. Solve the system
As explained above, the process of elimination is a method of solving a system of equations. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate.
x + y = 28 (*-4)
4x + 6y = 144
-4x - 4y = -112
4x + 6y = 144
___________
2y = 32
/2 /2
y = 16
4. Solve to find out how much of the other candle was sold
Now back solve, substitute the found value into one of the equations, and solve to find the other value
x + y = 28
y = 16
x + 16 = 28
-16 -16
x = 8
subtract 12a² + 15ab - 20b² from 15a² + 10ab + 8b²
help.
Answer:
3a^2 + 28b^2 - 5ab
Step-by-step explanation:
here's your solution
=> to subtract (12x^2 + 15ab - 29b^2) from
( 15a^2 + 10ab + 8b^2)
=> (15a^2 + 10ab + 8b^2) - (12a^2 + 15ab - 20b^2)
=> 15a^2 + 10ab + 8b^2 - 12a^2 - 15ab + 20b^2
=> 15a^2 - 12a^2 + 8b^2 + 20b^2 + 10ab - 15ab
=> 3a^2 + 28b^2 - 5ab
hope it helps
The black triangles are similar. Identify the type of segment shown in blue and find the value of the variable. altitude base hypotenuse median Question 2 y=
Answer:
Hello your question is incomplete attached below is the complete question
answer : ALTITUDE , x = 24
Step-by-step explanation:
The type of segment shown in Blue is ALTITUDE segment
This is because
Angle BCD = Angle CEG (opposite angles)
Angle ACD= Angle CFG (opposite angles)
Angle ADC = Angle BCD= Angle CEG = Angle CFG
It can be seen that the triangles are similar hence
18/27=16/x
therefore X =24
How do these U.S. customary units of liquid volume compare? Drag and drop the volume measures so they are in order from smallest to largest.
cup
pint
quart
Answer:
it should go cup pint quart.
The perimeter of a rectangular window is 242 cm.
If the length of the window is 66 cm, what is its width?
Width of the window: 0
cm
Answer:
The width of the window is 176 cm
Step-by-step explanation:
The perimeter is the outside of a shape. If the perimeter is 242 cm and we know the length is 66 cm, we use what we have. We take 242 and subtract it by 66 and get 176 cm
Can someone help me out with this question as I’m completely stuck
Answer:
Step-by-step explanation:
∠BEF = ∠ABE {Alternate interior angle}
∠BEF = 60
∠EQR = ∠ BEF {Corresponding angles}
∠EQR = 60
In ΔEQR
∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}
80 + 60 +x = 180
140 + x = 180
x = 180- 140
x = 40
Nellie ran a total of 8 miles over the course of 4 track practices. How many miles would Nellie have run after 10 track practices? Assume the relationship is directly proportional.
Answer:
20 miles after 10 track practices
Step-by-step explanation:
8/4= 2 miles per 1 practice
He runs 2 miles a track practice so 10 practices (2 miles) = 20 miles
Need help quick Picture provided
please help me find the area of the composite figure :)
Please help look and photo
Answer:
.
Step-by-step explanation:
4 pairs of shoes cost $80. What is the cost 7 pairs of shoes ?
Answer:
7 pairs = 140
Step-by-step explanation:
7 pairs of shoes will cost $560
explanation: 80 x 7 is 560
40 = 4(3d – 5)
show your work
40=4(3d-5)
40=12d-20
60=12d
5=d
d=5
One number is nine more than another number. If the sum of the number is 65, find both numbers
Answer:
Step-by-step explanation:
x+x+9=65
2x=56
x=28
28,37
Answer:
one number= 28, other number= 37
Step-by-step explanation:
9+x+x=65
9+2x=65
2x=56
x=28
Divide this equation and show your work.(QUICKLY)
X^3+4x^2-25x-28/x-4
hope this helps
andddd yeaaaaaaa hope !!!!!!!
PLEASE HELP ASAP ILL GIVE BRIANLIEST AND ACTUALLY HELP PLEASE
A parallelogram is translated 2 units to the right and 1 unit down and then rotated 90 degrees clockwise about the origin. Choose True or False for each statement about the image compared to the original. same orientation O True O False
True The whole statement is true.
False Some of the statement is false.
Use long division to divide 12x3 - 11x² + 9x + 16 by
4x + 3
Answer:
THE ANSWER IS 3×2-5×+6
Step-by-step explanation:
HERE IS A PIC OF THE WORK
please help i will mark brainliest.
Answer:
d answer is correct
Step-by-step explanation:
I hope it will help you
The answer should be D because, you see the little addition plus signs by the circles, and they are adding every 5 circle and you have 8 in all in each circle.
So, 5 circles 5 shaded triangles and eight triangles in all.
Hope this helps, but if I get this wrong m sorry.
Write the ratio in its simplest form using words. 14 cups to 28 cups
write an equation of a line that passes through (1,1)and (6,6)
Answer:
y=x
Step-by-step explanation:
When y=x, then the line goes up 1 and right 1.
I NEED HELPPPPPPPP PLEASEEE!!!!!!!!
Simplify. Express your answer as a single fraction in simplest form.
x x
5
Answer:
[tex]\frac{x}{20}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{4}[/tex] - [tex]\frac{x}{5}[/tex]
The LCM of 4 and 5 is 20
= [tex]\frac{5x-4x}{20}[/tex]
= [tex]\frac{x}{20}[/tex]
Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°
Answer:
c
Step-by-step explanation:
i just did it
The same amount deposited weekly into a bank account can be represented by a
A: Linear
B: Exponential
C: Quadratic
Answer:
I think B
Step-by-step explanation:
aaaaAjshfbd pub d guy x gu dc
The same amount deposited weekly into a bank account can be represented by a Linear.
Therefore, option A is correct.
What is Linear Function?Linear functions have a straight line as their graph. The following is the form of a linear function. a + bx = y = f(x). There is one independent variable and one dependent variable in a linear function. x is the independent variable, and y is the dependent variable.
The degree of the model for data presented as ordered pairs can be determined by determining the differences between dependent values.
The model will be linear if the initial difference is the same value.If the second difference has the same value as the first, the model is quadratic.If the number of times the difference is calculated before obtaining repeated values surpasses five, the model could be exponential or another unique equation.If the same amount deposited weekly into a bank then the difference between consecutive deposits will be same.
Thus, the situation shows the linear function.
Learn more about linear function here:
https://brainly.com/question/20286983
#SPJ3
Find the geometric mean between 28 and 32. Round to the nearest tenth if necessary.
Answer: The geometric mean is √24 * 32 = √768 = 16√3.
The geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.
What is mean?
It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let x be the geometric mean between 28 and 32
The formula for the geometric mean:
x = √(a×b)
x = √(28×32)
x = √800
x = 20√2
x = 28.284
or
x = 28.29
Thus, the geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.
Learn more about the mean here:
https://brainly.com/question/22871228
#SPJ2
(14)(10)(3) + (7)(4)(3)
Answer:
504 is the answer
helpppppp for 10points !!!
Answer:
[tex] - \frac{1}{5} [/tex]
Find the value of x for brainliest
Answer:
∅=53°
Step-by-step explanation:
Given opposite and hypothenuse. Use the sin ratio:
sin∅=opp/hyp
sin∅=12/15
∅=sin-1 12/15
∅=sin-1 0.8
∅=53.13010235415.
∅=53°
4x=-x+10
I’m confused?
Answer:
x=2
Step-by-step explanation:
4x=-x+10
To find x, we first add x to each side to get rid of -x on the right side.
5x=10
Then, we divide each side by 5 to get x by itself.
x=2
And that's your answer :)
Last season, Mya made 78% of her goal shots. Chad made 4/5 of his goal shots. Who has the better average?