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.
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.
Answer all or none! Ty!
find the value of x to the nearest tenth
Answer:
114
Step-by-step explanation:
You would add 46 degree and 20 degrees (66) and subtract (180 - 66 = ?) to get your answer.
Answer:
114
Step-by-step explanation:
Larry spends half of his workday teaching piano lessons. If he sees 6 students, each for the same amount of time, what fraction of his workday is spent with each student? *
Answer:
1/12
Step-by-step explanation:
bc ik
Answer:
the right answer is 1/12
Step-by-step explanation:
78/0000
67
777
7654
What is the simplified form of the following expression? Assume y does not equal 0. 3 square root 12x^2 over 16y
Answer:
Ok y does not = 0 (They say this because is y=0 it would be undefined anything divided by 0 is undefined)
[tex](3\sqrt{12x^2})/16y\\[/tex]
Answer: [tex](3x\sqrt{3})/8y[/tex]
find the area of a triangle with a base of 8cm and a height of 10cm
Answer:
40 cm²
Step-by-step explanation:
A = 1/2bh
A = 1/2 (8) (10)
A = (4) (10)
A = 40
11 inches in miles?
24.5 km in miles?
Answer:
0.000173611 miles is 11 inches
15.22359 miles is 24.5km
Step-by-step explanation:
What is the rate of change of the function described in
the table?
A. 12/5
B. 5
C. 25/2
D. 25
Answer:
B. 5
Step-by-step explanation:
This table does not describe a linear relationship. This is because the table does not have a constant rate of change; between the first two points, the function changes by
(1/2 - 1/10)/(0--1) = (5/10 - 1/10)/(1) = 5/10 - 1/10 = 4/10 = 2/5
Between the second two points, the function changes by
(5/2-1/2)/(1-0) = (4/2)/1 = 4/2 = 2
Comparing the first two y-coordinates, we have 1/10 and 1/2 = 5/10. This is the result of multiplication by 5.
Comparing the second two y-coordinates, we have 1/2 and 5/2. This is the result of multiplication by 5.
Comparing the rest of the y-coordinates, we can see that each time, the y-coordinate is multiplied by 5. This means the rate of change is 5.
{1+8+27+64+125...} find the next 9 terms
Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744
Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...
NEED HELP FAST
Find the arc length of the partial circle
Answer:
The arc length is about 12.57.
Step-by-step explanation:
Formula for arc length: 2πr( degrees/360)
For ours lets do 2π8(90/360)
Simplify the 90 and 360: 16π(1/4)
This gives you: 16π/4
Divide by 4
You get: 4π
4π ≅ 12.57
Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks costs the same amount.
What is the cost in dollars and centers for each pair of socks?
Help plssss
Answer:
$4.99
Step-by-step explanation:
20 - 5.03 = 14.97
Since that is how much was paid you then divide by how many socks were bought
14.97 ÷ 3 = 4.99
Answer:
4.99/pair
Step-by-step explanation:
Solve
$20 - $5.03 = $14.97 substract
$14.97 ÷ 3 = $4.99 divide
20 - 5.03 = 14.97 = total cost. 14.97÷3 = 4.99/pair.
Therefore, the cost in dollars and cents for each pair of socks is 4.99/pair.
Which dot plot represents the data in this frequency table?
Number 3 4 5 7 8
Frequency 3 2 4 2 3
Answer:
Im so sorry im late! The answer is A i just took the quiz!
Step-by-step explanation:
The correct dot plot is given in option 1.
What is a dot plot?Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots indicates the numerical value of each variable, it is comparable to a bar graph or a simple histogram. Little amounts of data are shown using dot plots.
As per the given data:
There are 4 options, with each option represented by a diagram also the number and frequency table is given
Number: 3 4 5 7 8
Frequency: 3 2 4 2 3
We can find the correct diagram of the dot plot by observing the number of cross against each value of the number on the line and then matching the obtained value with the given number and frequency table.
Hence, the correct dot plot is given in option 1.
To learn more about dot plot, click:
brainly.com/question/22746300
#SPJ3
Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He also asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. A line was fit to the data to model the relationship.
Which of these linear equations best describes the given model?
Choose 1 answer:
5x+1.5
1.5x+5
−1.5x+5
Based on this equation, estimate the mood rating for a student that spent 2.52, point, 5 hours playing sports.
Round your answer to the nearest hundredth.
Answer:8.75
Step-by-step explanation:
Answer: it’s B
Step-by-step explanation:
Which digit in 12,345 has the same place value as 6 in 67.89
Answer:
4
Step-by-step explanation:
Line up the numbers at the decimal point and then find the number the same number of spaces away from the decimal point.
12,345.00
00067.89
What is the mean of the following data set?
25, 34, 33, 41, 19, 20, 25, 22, 30, 29, 34, 39
A: 29.5
B:29.25
C:29.75
Answer:
B
Step-by-step explanation:
After adding them all together, we end up with 351. There are 12 numbers, so we do 351/12, getting 29.25.
• The ratio of cookies to eggs was 9 to
1, which means that?
? cookies
could be made using 3 eggs.
The area of a circular rose garden is 88
square meters.
What is the radius of the garden?
Answer:
c
Step-by-step explanation:
Solve for x.
0 < 3x – 6 < 18
O 0sxs8
2
O x<0 or x = 8
Oxs 2 or x 28
Answer:
2 ≤ x ≤ 8
Step-by-step explanation:
0 ≤ 3x - 6 ≤ 18
0 ≤ 3x - 6
6 ≤ 3x
2 ≤ x
3x - 6 ≤ 18
3x ≤ 18 + 6
3x ≤ 24
x ≤ 8
Combined:
2 ≤ x ≤ 8
Answer:
2 ≤ x≤ 8
2nd option:)
Step-by-step explanation:
help me please, i’m confused. thanks!
Answer:
Step-by-step explanation:
solve the equation
13. 9^3c + 1 = 27^3c - 1
Can someone please help
Answer:
First row of blanks: -3 -3
Second row of blanks: 2 2 3
Third row blank: 6
Step-by-step explanation:
x/2 + 3 = 6
The objective is to isolate the variable:
Subtract both sides by 3
x/2 = 3
Multiply both sides by 2
x = 6
I'M GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST!!! NO LINKS >:(
Find the number of students at the middle school if the elementary school has 380 students: The middle school has 24 students less than 3 times the number of students at one of the elementary schools.
Answer:
1116
Step-by-step explanation:
3*380 = 1140
1140 - 24 = 1116
Leo has 24 golf clubs. He has 3 golf bags. Each bag contains the same number of clubs. How many golf clubs are in each bag?
Answer:
8
Step-by-step explanation:
24/3 = 8
(Please help im desperate)
3. What is the perimeter of the figure graphed below?
d) Vegetable ghee is stored in a rectangular vessel of internal dimensions
60 cm x 10 cm x 45 cm. It is transferred into the identical cubical vessels. If the
internal length of each cubical vessel is 10 cm. how many vessels are required to
empty the rectangular vessel?
27 vessels
Step-by-step explanation:
get the volume of the rectangular vessel 60cm ×10cm ×45cm giving you 27000cm3.Find volume of one of the cube 10cm×10cm×10cm giving 1000cm3.
if 1 cube =1000cm3
? = 27000cm3
27000cm3× 1cube
1000cm3
di
vide then get your answer as 27 vessels
Calculate each unit price. Determine which is the best buy.
$1.25 for 6 oz.
$1.33 for 8 oz.
$1.50 for 12 oz.
$2.05 for 16 oz.
Answer:
1.50 for 12 ounces would be the best buy.
Step-by-step explanation:
We can calculate the unit price by dividing the price the the amount. In this case, we use ounces as our amount. Based on the calculations below, the best buy would be the 1.50 for 12 ounces as it has the lowest unit price.
1.25/6 = 0.208
1.33/8 = 0.166
1.50/12 = 0.125
2.05/16 = 0.128
Yeah, I need help again. IM NOT GOOD AT MATH
Answer:
21
Step-by-step explanation:
7 * 3 =21
What is the answer to this question?
Answer:
C is the answer also can I have brian list
Step-by-step explanation:
(6/-7)/(3/11)
6/-7 divided by 3/11
Answer:
-22/7
Step-by-step explanation:
To divide fractions, we multiply by the reciprocal:
(6/-7)/(3/11)
(6/-7)(11/3)
66/-21
22/-7
-22/7
Therefore, your simplifed answer is -22/7
Answer:
36/49
Step-by-step explanation:
108/49/3
=108/147
=36/49
Find all solutions of the equation in the interval [0°, 360°). cos(x) = -1
Answer:
180°
Step-by-step explanation:
cos(x) = - 1 has only 1 solution in the required interval , that is
x = [tex]cos^{-1}[/tex] (- 1) = 180°