A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 6 granola bars and each large box has 24 granola bars. The camp bought 4 times as many small boxes as large boxes, which altogether had 96 granola bars. Graphically solve a system of equations in order to determine the number of small boxes purchased, x,x, and the number of large boxes purchased, yy.
Answers
Answer:
Let's define the variables:
x = number of small boxes bought.
y = number of large boxes bought.
Then the total number of granola bars is:
x*6 + y*24
We also know that "The camp bought 4 times as many small boxes as large boxes"
Then:
x = 4*y
and "...which altogether had 96 granola bars."
The total number of granola bars is 96, then:
x*6 + y*24 = 96
Then the system of equations is:
x = 4*y
x*6 + y*24 = 96
We want to solve this graphically.
Then we first need to isolate the same variable in both equations.
We can see that in the first one x is already isolated, so let's isolate x in the second equation:
x*6 = 96 - y*24
x = (96 - y*24)/6
x = 16 - y*4
Now we have the equations:
x = 4*y
x = 16 - y*4
To solve this graphically we need to graph both fo these lines and see in which point the lines do intersect.
The point where the lines intersect is the solution of the system.
The graph can be seen below.
We can see that the lines do intersect at the point (2, 8)
This means that the camp bought 2 large boxes and 8 small boxes.
Related Questions
A grain silo is shown below:
Grain silo formed by cylinder with radius 6 feet and height 168 feet and a half sphere on the top
What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi.
Answers
Answer: 13750+262=14,012 ft^3
Step-by-step explanation:
Hello!!!
Find the volume of the bottom and top separately and then add them. Cylinder volume is the area of the bottom times the height (22/7)(5^2)•175=13750 ft^3
The volume of a sphere isV=(4/3)(22/7)r^3where r is the radius. also 5 since it fits on the cylinder. Also we only want half the sphere so useV=(2/3)(22/7)•5^3=261.9 ft^3 round upto 262. Now add together 13750+262=14,012 ft^3
Hope this helps~!!!!!
hi help w/ this question pls i'll give u a brainly
Answers
Answer:
Keep adding 8 56 times subtract three which is 472
Step-by-step explanation:
mulitiply 59 times 8
Find the compound interest paid at the end of 11 years and 33 months when a sum of ₹20000 is invested at a rate of 6% per annum compounded annually?
DONT ADD LINKS PLEASE ANSWER CORRECTLY AND FAST, PLEASE I WILL MARK YOU BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
The total would be 36,600.
Step-by-step explanation:
First you will convert 33 months into years which is 2 years and 10 months.
You will then add the 2 years and the 11 years together which gets you 13 so now you have a total of 13 years and 10 months. (this information will be used later)
Now we will start by multiplying the 20000 by 16% and we should get a total of 1200. That means the interest is 1200 per year so lets first take our 13 years and multiply it by the 1200 (13x1200). You should have 15600 as an answer (save this number for later) since we have 10 months were going to take that 1200 and divide it into 12 month meaning the monthly interest should be 100 per month since we have 10 months we will multiply 100 by 10 and get 1000. Now lets bring back that 15600 and add the additional 1000 to it, our answer should be 16,600, and then we add the original 20000 to the 16600 and your final answer should be 36600.
The area of a rectangular garden in square feet can be represented by 22 - 102 +21. The length is 2 - 7 feet. You have been hired to fertilize the
garden. Recall that the area of the garden is 22 - 10z +21. If 2 = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
Answers
The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the
garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
Answer:
$ 59.67
Step-by-step explanation:
The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet
If z = 20
Therefore:
The area of the rectangular garden is:
20² - 10 × 20 + 21
400 - 200 + 21
= 221 square feet
The fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
The cost of fertilize the garden is calculated as:
1 square feet = $0.27
221 square feet = x
Cross Multiply
221 square feet × $0.27
=$ 59.67
A certain airplane offers two types of seats, first class and economy.
There are 209 total seats on the airplane. If the difference between the
number of economy and first class seats is 153, find the number of
economy seats.
Answers
Answer:
56
Step-by-step explanation:
you do 209-153=56
Number of economy seats are 181
What is linear equation?An equation between two variables that gives a straight line when plotted on a graph
Consider,
Number of economy seats =x
Number of First class seats =y
There are 209 total seats on the airplane
Then,
x + y=209
Difference between the number of economy and first class seats is 153
x - y=153
Solve both the equation
x + y=209
x = 209-y
Substitute the value of x in second equation
(209-y) - y=153
2y=209-153=56
y=28
Then
x + y=209
x + 28=209
x=209-28
x=181
Hence, the number of economy seats are 181
Learn more about linear equation here
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Please help me on this question if you would want brianleist!! Tank yah!! ^^
Answers
Explanation: Coordinate Planes are made of 2 intersecting perpendicular lines.
1) The High View tourist train must climb a 6,000 foot high mountain. The tracks are at a 30° angle with the ground. What is the distance the train must travel from the base of the mountain to the peak of the mountain?
Answers
algebra if x/y = 5/8 which of the following must be true?
Answers
can anyone help me on this question but explain? What’s the difference between gross and net income
Answers
Answer & Explanation:
Gross income is the total pay you earn before any reduction and adjustments (taxes, mortgage, etc.).
Net income is the amount of pay you get after taxes and other reductions are taken out of your gross income; it's the money that you "actually get to take home in your pocket with" on the payday.
Evaluate the expression 6 + 5 × 32 - 8.
43
11
6
91
(and its not 32 its just the 2 is suppose to be up)
(dont steal my points)
Answers
Answer:
43
Step-by-step explanation:
A is the answer
Answer:
Ima steal your points
Step-by-step explanation:
EASY POINTS!!
PLS ADD A DISC!!
Answers
All interior angle degrees must add up to 180 degrees.
the little square means that it is a right angle (90 degrees)
30 + 90 = 120
Y = 60
Ben's dad is making a large pot of pasta sauce that calls for 3.5 kilograms of tomatoes. If he triples the amount of tomatoes for the recipe, how many grams of tomatoes will he use? Enter your answer in the box.
Answers
Answer: 10,500 gm
Step-by-step explanation:
Given
Pasta requires 3.5 kg of tomatoes
we know, [tex]1\ kg=1000\ mL[/tex]
If the amount is triples, the quantity of tomatoes is [tex]3\times 3.5=10.5\ kg[/tex]
[tex]\Rightarrow 10.5\ kg\equiv 10.5\times 1000=10,500\ gm[/tex]
Thus, he uses 10,500 gm of tomatoes
What is the initial value and growth factor of Z = 8•3w and A =6(2.5)t
Answers
Answer: The initial value for Z= 8 * 3w is 8 and the growth factor for it is 3. The initial value for A= 6(2.5)t is 6 and the growth factor for it is 2.5.
Step-by-step explanation: Exponential growth equations.
Which of the following is a
representation of 11!
Answers
I need a little more help. Sorry for the spam questions.
Answers
Is the cost of candy proportional to pounds of candy?
Answers
Answer:
Step-by-step explanation:
Yes
Answer:
yes because for every pound it is $3
Step-by-step explanation:
i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30
Question 3
0 / 20 pts
When Darrell went to bed, the temperature outside was 4 degrees below
zero (-4). When he woke up, the temperature was even colder. Select the
values that could represent the temperature when Darrell woke up?
-10°
A. -2
B. -6
C. -10
D. -0
E. -15
It’s multiple choice also
Answers
Khan khan khan khan
Answers
Answer:
11
Step-by-step explanation:
it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers
motor =18
garbage=4
18+4=22
bulldosers=11
22-11= 11 more
Answer:
11
Step-by-step explanation:
Survey / Statistical Question:
How many times has each person moved states?
Answers
Answer:
a regular person would gave moved 4 to 5 times
Bases are 6 and 10 the height is 4 whats the area of the trapszoid
Answers
Answer:
here,hope this helps : )
Step-by-step explanation:
Answer: A= 32
a (Base) 6
b (Base) 10
h (Height) 4
Step-by-step explanation: A=a+b
2h=6+10
2·4=32 I really hoped this helped
A robot moves 3\text{ m}3 m3, start text, space, m, end text, turns more than 90\degree90°90, degree clockwise, moves 4\text{ m}4 m4, start text, space, m, end text more, turns clockwise again, then moves 3.6\,\text{m}3.6m3, point, 6, start text, m, end text. The robot ends where it started, as shown.
How far did the robot turn the first time?
Do not round during your calculations. Round your final answer to the nearest degree.
Answers
Answer:120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
khan
Please help.
Is algebra.
Answers
B and B simple math and simplification of the problems : (2x-5y)(2x-5y) and (x+7)(x+7)
Jason and Karina have matching gardens Jason plants 2/3 of his garden with roses Karina's garden is divided into ninths how much garden must she plant to have the same amount.
Answers
Answer:
6/9
Step-by-step explanation:
A recent study sought to determine if exercising after studying for an exam may help retain information. The 150 student volunteers that participated in the study were randomly assigned to three groups. All students were given a picture memory task that they studied for 15 minutes. After studying, one of the groups was instructed to exercise for 30 minutes immediately after studying. A second group was instructed to wait 1 hour after studying and then exercise for 30 minutes. The third group was instructed to not exercise after studying. The next day all 150 student volunteers were given a test to determine how well they could remember what they studied. Here are the results:
Answers
Answer:
The correct answer is (A).
Step-by-step explanation:
Because the data came from 3 groups in a randomized experiment, the appropriate test is a chi-square test for homogeneity.
What is the perimeter of abcd ?
Answers
Answer:
38
Step-by-step explanation:
(10*2)+(9*2)
help if link will report
Answers
Answer:
B
Step-by-step explanation:
Just put B
If the sin 90º = 1, then which statement is true?
Answers
Answer:
cos 0° = 1, because the cosine and sine are complements
Step-by-step explanation:
Here is the formula: sin 0 = cos (90°- 0) or cos 0 = sin (90°- 0)
So it would be: cos 0° = sin (90° - 0°) = sin 90° = 1
El auto que se va a comprar Pablo necesita que un cambio de aceite cada 60.000km y de neumáticos cada 90.000km. ¿En cuántos kilómetros coincidirá por primera vez el cambio de aceite y de neumáticos?
Answers
Answer:
El cambio de aceite y de neumáticos coincidirá por primera vez en 180.000 km.
Step-by-step explanation:
Como tenemos que encontrar cuándo se realizarán los dos cambios al mismo tiempo por primera vez, esto significa que tenemos que encontrar el mínimo común múltiplo de los dos números dado que este es el múltiplo más pequeño que tienen en común esos números y es donde coinciden por primera vez. Para encontrar el mínimo común múltiplo, puedes escribir los múltiplos de cada número y encontrar los que son comunes y seleccionar el más pequeño.
Múltiplos de 60.000= 60.000, 120.000, 180.000, 240.000, 300.000, 360.000, 420.000
Múltiplos de 90.000= 90.000, 180.000, 270.000, 360.000, 450.000, 540.000, 630.000
De acuerdo a esto, el mínimo común múltiplo es 180.000 dado que es el múltiplo más pequeño en el que coinciden y la respuesta es que el cambio de aceite y de neumáticos coincidirá por primera vez en 180.000 km.
What is the width of the terrace?
Answers
Answer:
12 feet or 4 feet.......
Read the excerpt from The Fellowship of the Ring. On this occasion the presents were unusually good. The hobbit-children were so excited that for a while they almost forgot about eating. There were toys the like of which they had never seen before, all beautiful and some obviously magical. Many of them had indeed been ordered a year before, and all the way from the Mountain and from Dale, and were of real dwarf-make. Which detail in the excerpt identifies it as fantasy? Great presents are given at the party. The children almost forget to eat. Some of the toys are magical. The gifts have been ordered very early.
Answers
Answer:
c. some of the toys are magical
Step-by-step explanation:
The detail in the excerpt that identifies it as fantasy is "Some of the toys are magical." The correct option is 3.
What is The Fellowship of the Ring about?J.R.R. Tolkien's novel The Fellowship of the Ring was published in 1954. The Lord of the Rings is the first book in the epic fantasy series.
"Some of the toys are magical," says the excerpt, identifying it as fantasy. Magical toys imply the presence of magical elements in the story, which is a common feature of fantasy literature.
Other details, such as great gifts being given at a party and the children almost forgetting to eat, are not necessarily unique to fantasy and could be found in other genres.
The fact that the toys were ordered from the Mountain and Dale a year before.
Thus, the correct option is 3.
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