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
anyone know the answers to 3, 4, 5 and six
Answers
He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation
2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more
Answers
Answer:
I think you should go with 3
Find the slope of the line
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
Slope = -6
Step-by-step explanation:
A bag of candy costs $3.75. If sales tax is 4% of the cost, HOW MUCH WOULD YOU BE CHARGED IN TAXES?
Answers
Answer:
0.15
Step-by-step explanation:
Brainliest?
Answer:
If a bag of candy costs $3.75 and the sales tax was 4% of the cost, then the amount of tax you would be charged is $.15
Step-by-step explanation:
4% = 0.04
0.04 * 3.75=.15
$.15
hope this helped :)
18 x 1/6 simplify if can thank u
Answers
Answer:
3
Step-by-step explanation:
[tex]18*\frac{1}{6} \\\\3[/tex]
Answer:
=3x
Step-by-step explanation:
18x^1 / 6
=3x
What is the greatest common factor of the numbers
15,30 , and 75 ?
Answers
Answer:
15
Step-by-step explanation:
Prime Numbers Check
15: 5 * 3
30: 2 * 3 * 5
75: 3 * 5 * 5
Both 3 and 5 are prime numbers present in all 3 greater numbers, then you multiply them
3*5 = 15
GCF is 15
A ship sails 20 km due East, then 12 km due South.
Find the bearing of the ship from its initial position.
Give your answer correct to 2 decimal places.
Answers
Answer:
Step-by-step explanation:
20km east - 12km south= 8km east
Answer:
its 120.96
Step-by-step explanation:
i dont have any but i know that is the answer
What is the percent of change from 10 to 8?
Answers
If you are going down percentage, it will be negative. When you take 8/10 you get 0.8. Subtract 0.8 from 1.0 and you get 0.2. Multiply 0.2 by 100 and you get 20. -20%
pls helpppppp !!
tysmmmm <33
Answers
Answer:
180
Step-by-step explanation:
From basic rules of a triangle we know that the interior angles of a triangle have to add up to equal 180°
But here is a formula for future references for finding the sum of the interior angles
interior angle sum = (n-2)180
where n = number of sides
and here is an example:
a triangle has 3 sides so we plug in 3 for n
(3-2)180
3-2=1
1*180 = 180
so the interior angles add up to equal 180
In the circus, a tiger has been trained to jump through a ring of fire that has a diameter of 6 feet. What is the ring's circumference?
Answers
Answer:
Radius is going to be 3 since half of the diameter is the radius.
Formula of a circumference you must remember:
2πr
(2 x pie (3.14 or 22/7) x your given radius or have of the diameter.
2 x 3.14 x 3 = 18.84
4th grade math helplolll
Answers
Answer:
175 dollars
Step-by-step explanation:
from that word problem the equation that i was able to get out of it was
1225/ 7
^ the travel allowance and how much days they are going to be there
i dont know if you are allowed to use a calculator in your class but puting 1225/ 7 does give you a answer of a positive number of 175 dollars
meaning that they can only use 175 dollars a day so they dont go over the allowance
i hope this helps you! please stay safe and have a good day :)
Answer:
Um, the answer for that is 175.
Step-by-step explanation:
all you need to do is divide $1,225 by 7 which is 175.
encontre as raízes quadradas dos números:
a)²√625
Answers
25
porque al multiplicar 25×25 nos da 625
Answer:
25
Step-by-step explanation:
25x25=625
2
Select the correct answer from each drop-down menu.
Consider polynomial function f.
f(x) = (1 - 1)?(1 + 3)3 (+ 1)
Use the equation to complete each statement about this function.
The zero located at x = 1 has a multiplicity of , and the zero located at x = -3 has a multiplicity of
The graph of the function will touch, but not cross, the x-axis at an x-value of
Reset
Next
Answers
Answer:
2 of the 3 answers in picture
Step-by-step explanation:
Answer:
The answers are 2, 3, and 1 only
Step-by-step explanation:
This is the correct answer for plato users
What is the slide e of the line shown below?
Answers
Answer:
13/6
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points
slope = (-7-6)/(-5-1) = -13/-6 = 13/6
A waiter determines his salary for a week using the formula S = 3.75h + t, where S is his salary, h is the number of hours he works, and t is his total tips. How much does the waiter make if he works 30 hours in a week and makes a total of $538.75 in tips?
Answers
Answer:
$651.25
Step-by-step explanation:
plug your variables into your equation so,
S= 3.75(30)+ 538.75
and solve
S=112.5+538.75
S=651.25
Answer:
$651.25
Step-by-step explanation:
S = 3.75h + t
Given:
h = 30
t = 538.75
Work:
S = 3.75h + t
S = 3.75(30) + 538.75
S = 112.5 + 538.75
S = 651.25
Solve the logarithmic equation with Properties of Logs
Answers
Answer:
Simplifying
logx + -4 = 0
Reorder the terms:
-4 + glox = 0
Solving
-4 + glox = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + glox = 0 + 4
Combine like terms: -4 + 4 = 0
0 + glox = 0 + 4
glox = 0 + 4
Combine like terms: 0 + 4 = 4
glox = 4
Divide each side by 'lox'.
g = 4l-1o-1x-1
Simplifying
g = 4l-1o-1x-1
Answer:
[tex]x=40000[/tex]
Step-by-step explanation:
[tex]log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000[/tex]
HELPPP!!
Find the value of x in the parallelogram!
Answers
Answer:
x = 17
Step-by-step explanation:
Area of a parallelogram:
A = bh
Given:
A = 153
b = 9
Work:
A = bh
h = A/b
h = 153/9
h = 17
PLEASE HELP THIS IS MATHHHHH
Answers
what inequality??????
A car drove 5 miles in 30 minutes. How far will the car go in 1 hour?
Answers
Answer: 10 miles
Step-by-step explanation:
Practically, just look at it. 30 minutes = 5 miles, 60 minutes = 10 miles
Mathmatically, find the constant of proportionality.
30 minutes divided by 5 miles = 6 minutes per 1 mile. 60 minutes = 10 miles
Is Game of Thrones based on history or hollywood?
Answers
Answer:
It is based on history
Step-by-step explanation:
Answer: the answer is based on history
Step-by-step explanation:
A child toy is made by removing a triangular prism from the center of a wooden rectangular prism The triangular base of the triangular prism has a base length of 1 inch and a height of 1 inch. Write and solve an equation to find the volume of the toy.
Answers
*see attachment for the diagram given
Answer:
Volume of the toy = 68 in.³
Step-by-step explanation:
The equation to find the volume of the toy = volume of the wooden rectangular prism - volume of the triangular prism removed form the center
Volume of the toy = (L*W*H) - (½*bhl)
Where,
L = 8 inches
W = 3 inches
H = 3 inches
b = 1 inch
h = 1 inch
l = 8 inches
Plug in the values into the equation
Volume of the toy = (8*3*3) - (½*1*1*8)
Volume = 72 - 4
Volume of the toy = 68 in.³
What is the simplified form of the following expression? Assume x>0. 4 square root 3 over 2x
Answers
Answer:
the answer is B)
4√24x^3/2x
Solution:
The answer is B
Step-by-step explanation:
I just took the test.
If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?
Answers
Answer:
-8,5
Step-by-step explanation:
8,5 because the "m" is 5 squares down and 8 squares to the right.
If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed?
Answers
Answer:
f(x) is flipped, and each point is moved 3 units to the left and 2 units up
Step-by-step explanation:
on parallelogram ABCD below, if A (4,1), B (8, 5), C(6, -3) and D(2, -3). what are the coordinates of point E
Answers
Which pairs of polygons are congruent? A. pairs 1, 2, 3, and 4 B. pairs 1 and 4 C. pairs 1, 2, and 3 D. pairs 2 and 4
Answers
Pair 2 are the same size and shape
Pair 4 are same size and shape
Pair 1 is different size different shape
Pair 3 is different size same shape
Which of the following best describes the vertical cross-section of the cylinder ?
A.
cone
B.
rectangle
C.
triangle
D.
circle
Answers
The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.
What is a vertical cross section?When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.
For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.
It can be proven that this shape is always going to be rectangular.
Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.
Learn more about vertical cross section here:
https://brainly.com/question/16775837
Lisa can mow the lawn in 3 hours. If Rhianna helps her with another mower, the lawn can be mowed in 2 hours. How long would it take Rhianna if she worked alone? PLEAsE HELPPPP
Answers
Answer:
5 hours or 300 mins
Step-by-step explanation:
PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.
Answers
Step by step explanation
As CB is radius CB=3, CA=3+7=10
X^2=(7+3)^2-3^2=100-9=81
X=9
The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22,
median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31
31 32 33 34 35 36
15 16 17 18
19 20 21
22
20
24
25
26
27
20
20
20
31
32
33 34 35
15 16 17 18 19 20 21
18 19 20 21 22 23 24 25 26 27
25 26 27 28 29 30 31 32 33 34
32 33 34 35 36 37
O
20
15 16 17 18
21 22 23 24 25
26 27
20
29
35
33 34
Answers
Answer:
The answer is B
Step-by-step explanation:
I took the test
The box plot that represents the number of bus drivers with the given five-number summary is: option B (see image attached below).
How to Graph A Box Plot?A box plot is graphed to indicate the five-number summary as:
Minimum is represented by the value at the extreme end of the left whiskerLower quartile is at the beginning of the edge of the rectangular boxMedian is at the vertical line dividing the boxUpper quartile is at the end of the edge of the rectangular boxMaximum is represented by the value at the extreme end of the right whisker.Given the five-number summary of the number of bus riders as: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37, the box plot that represents the data is: Option B (see image attached below.
Learn more about box plot on:
https://brainly.com/question/14277132
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