A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds and each large box of paper weighs 100 pounds. A total of 20 boxes of paper were shipped weighing 1400 pounds altogether. Graphically solve a system of equations in order to determine the number of small boxes shipped,x, and the number of large boxes shipped, y. please include graph.
Answers
Answer:
12 small boxes
8 large boxes
Step-by-step explanation:
let x be the number of small boxes shipped
let y be the number of large boxes shipped
This means:
the total number of boxes is 20, so
x + y = 20
the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so
50x + 100y = 1400
Then, solve
First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50
x + 2y = 28
Now, subtract the two equations:
x + 2y = 28
- (x + y = 20)
y = 8
Now plug this into the equation x + y = 20
x + 8 = 20
x = 12
So the number of small boxes is 12 and the number of large boxes is 8.
Here's a graph:
Related Questions
6. Joseph has $60 in a savings account. Each week he deposits $12 into the account. Which expression is equivalent to the total amount in the account after x weeks? *
60x + 12
60 + 12x
12x + 60
12(5 - x)
12(5 + x)
Answers
Example if 2 weeks pass he would have the 60 plus 12 plus 12
Find the missing side of the triangle. Round your answer to the nearest tenth if
necessary.
9.7
4.9
X
Answers
Answer:
10.9
Step-by-step explanation:
adding there squres you get 118.1 taking the squareroot of that you get 10.9
Describe the congruence transformation that maps quadrilateral ABCD to quadrilateral A'B'C'D'.
Question 27 options:
270° counterclockwise rotation
Reflection across the y-axis
90° clockwise rotation
90° counterclockwise rotation
Answers
Answer:
90 degree counterclockwise rotation
Step-by-step explanation:
After a 90° counterclockwise rotation, we get the required quadrilateral A'B'C'D'.
Hence the fourth option is correct.
The rotation of axes refers to a transformation in which the coordinate axes in a coordinate system are rotated to form new axes.
When we rotate the quadrilateral ABCD about 90 degrees counterclockwise,
The new position of vertices be,
A ⇒ B'
B ⇒ C'
C ⇒ D'
D ⇒ A'
Hence,
After this rotation, we get the required quadrilateral A'B'C'D' as shown in the figure.
Hence,
After 90° counterclockwise rotation we get such a triangle.
To learn more about quadrilaterals visit:
https://brainly.com/question/11037270
#SPJ4
the store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ?
If the regular price for an item is x dollars, what is the discounted price? (Hint: write an expression)
Answers
Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.
charlotte has 3 yards of fabric she needs to cut the fabric into 7 equal peices. how many yards long should each peice of fabric be?
Answers
Answer:21
Step-by-step explanation:
How can we get system B for system A?
And
Are the systems equivalent?
Answers
Answer: Subtract the equations in system A.
=============================================================
Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.
What is the approximate value of x? Round to the nearest tenth.
Answers
Answer:
there is no question
Step-by-step explanation:
its just plain black nothing is written on it
UM PLEASE HURRY FOR ANSWERING THIS!!!
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 15 cm
Answers
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Hope this helps!
Answer:
I believe it's Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°. I'm not so sure sorry if it's incorrect
Step-by-step explanation:
plz answer this quickly i need this finished by tommorow
Answers
Answer:
The probability of landing on blue on spinner 1 is 3/8 theoretically. The probability of landing green on green on spinner 1 is 5/8 theoretically. The probability of landing on blue on spinner 2 is 2/6, which is 1/3. The probability of landing on either green or purple on spinner 2 is 3/6, or 1/2. The probability of landing on yellow on spinner 2 is 1/6. The probability of not landing on green on spinner 2 is 4/6, or 2/3. The experimental probability, you have to do, since only you can do that. So glad I can help, but can you please give me brainlist?
Seth's family plans to drive 280 miles to their vacation spot. They would like to complete the drive in 5 hours.
Find the average speed in miles per hour needed to make the trip in the desired time.
Answer:
miles per hour.
Answers
Answer:
56 miles per hour
Step-by-step explanation:
I just divided 280 into 5
hope that helps:)
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.
Answers
Answer:)
Step-by-step explanation:
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answers
Answer:
No triangles because the by the above direction we can only make two legs of the triangle
Please answer
( will give brainlst)
Answers
1. cluster
2. outlier
3. association
4. trend line
5. scatter plot
2.outlier
3.association
4.trend line
5. Scatter plot
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answers
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
ginny brought 2.2 pounds of banana at a cost of 0.49 per pound + 1.3 pounds of grapes at a cost of 1.29 per pound what was the total cost of the bananas and grapes Ginny purchase
Answers
Answer:
IP 2.2 pounds of a banana at the cost of a foreign body 120 pounds of graphs are at the cost of a point on the total cost of the
IF KOBE HAD 8 DUNKS AND LEBRON HAD 10, HOW MANY MORE DUNKS DID LEBRON HAVE THEN KOBE?
Answers
Answer:
2
Step-by-step explanation:
10-8
Answer:
Step-by-step explanation:
2
Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
as an equation
Answers
Answer:
$16
Step-by-step explanation:
This method is probbaly working backwards. I'm not sure.
12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)
8 x 2 = 16 (They mentioned she spent half of her weekly allowance)
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
M = -4/3. B = 8
Negative slope
Step-by-step explanation:
But not sure if it’s proportional or not
[tex]4 - 4[/tex]
[tex]7 \times 9[/tex]
Answers
HELP MEEE PLEASEEEEEEEEE
Answers
(10-8)^2*2
2^2*2
8
Answer:
8
Step-by-step explanation:
(
[tex](10 - 8) ^{2} times 2 [/tex]
10-8=2
[tex]2 ^{2} \times 2[/tex]
2x2=4
4x2=8
The answer is 8.
Find the area of the composite shape.
136 square cm
160 square cm
208 square cm
112 square cm
Answers
13-7=
6
16-8=
8
8 x 6 = 48
48 divided by 2 = 24
ABD=24cm^2
16 x 7 = 112
BECF = 112cm^2
112+48=160cm^2
how do you get the answer for the area
Answers
Answer:
You get a answer for area by multiplying height by width to find the area.
g A survey of athletes at a high school is conducted, and the following facts are discovered: 41% of the athletes are football players, 52% are basketball players, and 35% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player
Answers
Answer:
0.58 = 58% probability that the athlete is either a football player or a basketball player
Step-by-step explanation:
We solve this question treating the probabilities as Venn's sets.
I am going to say that:
Event A: Athlete is a football player.
Event B: Athlete is a basketball player.
41% of the athletes are football players:
This means that [tex]P(A) = 0.41[/tex]
52% are basketball players
This means that [tex]P(B) = 0.52[/tex]
35% of the athletes play both football and basketball.
This means that [tex]P(A \cap B) = 0.35[/tex]
What is the probability that the athlete is either a football player or a basketball player
This is [tex]P(A \cup B)[/tex], which is given by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]. So
[tex]P(A \cup B) = 0.41 + 0.52 - 0.35 = 0.58[/tex]
0.58 = 58% probability that the athlete is either a football player or a basketball player
Plz help its a riddle
Answers
Answer:
30
Step-by-step explanation:
the shoe=20
the person=5
the glasses=2
20+5×2
PEMDAS
5×2=10
10+20
=30
Answer:
The ans is 30
Step-by-step explanation:
the is shoe=20
the is person=5
the is glasses=2
20 shoes +5 people×2 glasses
5×2=10
10+20
=30
(hope this helps can i plz have brainlist :D hehe)
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answers
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
What basic algebraic technique is used to derive the quadratic formula?
graphing
finding the greatest common factor
writing the prime factorization of a number
completing the square
Answers
Answer:
Step-by-step explanation:
Completing the square....
Please answer this I need helllp
Answers
Answer:
Equation: y = 2x
Graph: see attachment
Step-by-step explanation:
Pieces of paper = x
Number of Valentines = y
The equation is a proportional equation and can be represented as y = kx
k is the constant of proportionality
k = y/x
Using (2, 4),
k = 4/2 = 2
To find the equation, substitute k = 2 into y = kx
Thus:
y = 2x
The graph has been plotted and attached below.
Select the correct answer from each drop-down menu. Complete each sentence about types of photography. photography involves capturing the subject of your photograph in motion, whereas photographing Inanimate objects. > photography involves
Answers
Answer:
1. whale 2. crowded boat
Step-by-step explanation:
on edge
Answer:
1. whale 2. crowded boat yw
Step-by-step explanation:
A disc has a radius of 31 cm. What is the circumference of
the disc, rounded to the nearest whole number? (Convert the
fraction to a decimal)
A.38 cm.
B.154 cm
C.22 cm
D.11 cm
Answers
Answer:
22 cm
Step-by-step explanation:
radius is 3 1/2 cm, which is 3.5 in decimal form
the circumference comes out to be 21.99, which is rounded to 22.
A line has a slope of 2 and passes through the point -7,-10 What is its equation in point-slope form
Answers
I don't know the answer