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
if sin theta = -3/5 and theta terminates in the fourth quadrant, find the exact value of tan 2θ
Answer:
67=9
Step-by-step explanation:
Answer:
-24/7
Step-by-step explanation:
EDGE 2021
What number represents 50 meters below sea level
1
0. Multi-Step Nathanial has a dog walking
business. He charges $3 for every 15 minutes
of walking. How much will Nathanial charge to
walk a dog for one hour?
Answer:
Nathanial will charge $12
Step-by-step explanation:
If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.
Jason paid a $100 start-up fee for his
telephone. He also pays a monthly
service charge, X. Jason paid a total of
$340 in the first 6 months. Which of the
equations below can be used to find the
monthly service charge?
A 340 = 6 + 100x
B 340 = 100+ 6x
C 340 = 100 - 6x
Answer:
b
Step-by-step explanation:
John is buying a new computer for $550.00. He has a coupon to receive 15% off. How much, in dollars, is his discount?
Answer:
$82.50 is the discount.
Step-by-step explanation:
550 x .15 = $82.50
Hope that helps!
ASAP ILL MARK BRAINLIEST!!!!!!
Find the discriminant and determine the number of real roots for each equation. Show steps.
-9x^2 + x - 7 = 0
Answer:
0 real roots
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then the roots are not real
- 9x² + x - 7 = 0 ← is in standard form
with a = - 9, b = 1, c = - 7 , then
b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251
Since b² - 4ac < 0 then the equation has no real roots
help me fast and i'll mark you brainliest please
Step-by-step explanation:
[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]
Find the area........
Answer:
6) 121.2 sq meters
7) 40 sq ft
8) 70 sq meters
Step-by-step explanation:
#6 and 7: base x height
#8: base x height / 2
find the amount of money in an account after 11 years if $7000 is deposited at 9% annual interest compounded as follows
Answer:
The law companies that value excessive ethics comply with the legal guidelines not solely in letter however go past what is stipulated 1 My proudest accomplishment is organizing
Jason opens a savings account with $50. Each week
after, he deposits $25. In how many weeks will he have
saved $450?
Note: Deposit means he adds money into his account.
Find the number.
Answer:
16 weeks
Step-by-step explanation:
Devin reads 2 pages of a book every 3 minutes. Which proportion could be solved to find x, the number of minutes it will take to read 6 pages?
Answer: The answer would be 2/3 = x/9
It would take 9 minutes to read 6 pages as per the proportional relationship.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let y be the number of pages, and x be the time,
According to the quesiton,
x/y = 3 / 2
Now,
Put y = 6
x/6 = 3/2
x = 9 minutes
Thus, it would take 9 minutes to read 6 pages as per the proportional relationship.
Learn more about proportionality here: https://brainly.com/question/22620356
#SPJ6
Graph the line with the equation y = -x + 7.
is it A, B,C, or D? i need help asap
Answer:
C
Step-by-step explanation:
If x=0 is 2010, you can infer that x=6 would be 2016.
From there, you just have to find the correlating y-value (38).
) tan C
с
45
36
to
27
А
Answer:
36. 1193 or 33.12 degrees rounded
Step-by-step explanation:
Tan = opp/adj
Tan C = 27/37
Tan inverse (.729 . . .) = C
= 36. 1193 or 33.12 degrees rounded
The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m
Answer:
12 deg
Step-by-step explanation:
The change in temperature is the new temperature minus the old temperature.
0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg
The change in 12 deg.
How many decks have fewer than 1 joker?
Answer:
32
Step-by-step explanation:
Can you guys help I'm having trouble.
Answer:
given radius =6
Area of triangle =1/2*base*height
=1/2*6*6=18
area of quadrant =1/4πr^2
=1/4*22/7*6*6=22/7*9=198/7=28.2
area of shaded region =area of quadrant -area of triangle
=28.2-18=10.2
Order these triangle with equal sides from least to greatest the triangles are equilateral scalene and isosceles
Answer:
equilateral
isosceles
scalene
The triangles with equal sides from least to greatest
Equilateral, Isosceles, Scalene.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The reason for this order is that an equilateral triangle has all three sides equal in length, while an isosceles triangle has two sides equal in length and one side different.
A scalene triangle has all three sides of different lengths.
Since all three sides of an equilateral triangle are equal, it has the smallest perimeter of the three types of triangles.
The isosceles triangle has two sides equal, so its perimeter will be greater than that of an equilateral triangle, but less than that of a scalene triangle.
Finally, the scalene triangle has three sides of different lengths, so it will have the largest perimeter of the three types of triangles.
Thus,
The triangles with equal sides from least to greatest
Equilateral, Isosceles, Scalene.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ3
PLEASE HELPPPP ITS DUE IN 20 MINNNN
Answer: 2cm is the radius and 10 cm is the diameter.
Answer:
2 is the radius and 10 is the diameter!
Step-by-step explanation:
Good luck buddy!
Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.
Answer: B
Step-by-step explanation:
Solve for x. Round all answers to the nearest tenth
Please can someone answer this question, I never understand these and would like to know how to do them... QUESTION ATTACHED
Answer:
sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)
45 = 9 *5 "9" is a perfect square so
sqrt (45) = 3 * sqrt (5) * sqrt (2)
sqrt (2) * sqrt (80)
80 = 16 * 5 "16" is a perfect square so
sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)
Adding both answers we get
3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)
PLUS
4 * sqrt (10)
which equals
7 * sqrt (10)
SO, the value of a is 7
Step-by-step explanation:
18. The perimeter of the given triangle is 36 cm.
Find the value of x.
Answer:
x = 7
Step-by-step explanation:
(x+2)+(3x-9)+(2x+1) = 36
6x - 6 = 36
6x = 42
x = 7
Question 2 (25 points)
Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures are not drawn to scale.
Help me ASAP!!!!!!!! Plzzzz
Answer:212.4
Step-by-step explanation:
Opposite/hypotenuse
Sin23=83/x
Multiply x to both sides to cancel out the x under 83
You get xsin23=83
Then divide sin23 to both sides
X=83/sin23
X=212.4
on Iready Question 7 angle sum properties Level H what is the answer
Answer:
Step-by-step explanation:75
QUESTION IN THE PICTURE
HALPPPPP
Answer:
All real numbers
Step-by-step explanation:
All vertical parabolas have a domain of all real numbers
A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?
PLS I NEED HELP QUICKLY
Answer:
b + b + h + h and since you have two of each you can say 2b + 2h.
Determine the y intercept I don’t know how please help
Answer:
(0, -2)
Step-by-step explanation:
Since line is intersecting y axis at point (0, - 2)
Hence, y-intercept = (0, - 2)