Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
what is the y-intercept of the following equation
Find the missing angles.
Answer:
w=30.5 y=29
Step-by-step explanation:
2w=61 so w=30.5
61+y=90 so y=29
Can y’all plz help me
Answer:
D. 10
Step-by-step explanation:
Assuming that <COA is a right angle, we can say that the two given angles are complementary
complementary angles are angles that add up to 90 degrees
this means we can create this equation: 3x + 46 + 14 = 90
so subtract 46 and 14 from 90: 3x = 30
divide both sides by 3: x = 10
Answer:
I think that it is letter D
Step-by-step explanation:
sorry if im wrong. but i hope this helps! :)
Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 5000
Answer: 0.44
Step-by-step explanation:
First, let's count the total number of four-digit numbers.
Let's think it as four empty slots:
_ _ _ _
In each slot, we can put a single digit.
In the first slot, we have 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9}
The zero is not an option here, because if there was a 0, this would be a 3 digit number, then the 0 can not be in the first slot.
For the second slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
for the third slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
for the fourth slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The total number of combinations is equal to the product between the numbers of options for each slot, this means that we have:
Combinations = 9*10*10*10 = 9000
So there are 9000 different 4 digit numbers.
Now we want to find the probability of selecting a number at random that is equal or smaller than 5000.
Let's see the number of 4-digit numbers that are equal or smaller than 5000.
The smallest 4-digit number is 1000.
Then the number of numbers between 1000 and 5000 is:
5000 - 1000 = 4000
This means that there are 4000 4-digit numbers that are equal or smaller than 5000.
Now, the probability of selecting one of them at random is equal to the quotient between the number of 4-digit numbers that meet the condition (4000) and the total number of 4-digits (9000)
Then te probability is:
P = 4000/9000 = 4/9 = 0.44
T
5 star rating help quick
Answer:
i think b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is the only one with the coordinates (1,15) (3,25) (5,35) (7,45)
A store pays $13 for a bicycle helmet and marks up the price by 40% what is the amount of the mark-up?
Answer:
Step-by-step explanation:
the amount of mark up is
13*(40/100)=5.20
A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?
Step-by-step explanation:
Given:length of ladder =5 m
Angle formed = 65°
Let h be the Height of the top of the ladder from the ground
Required:Height of the top of the ladder from the ground
Equation:SOH-CAH-TOA
Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH
[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]
[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]
[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]
[tex]opposite\:=\:4.53 \:m[/tex]
Final Answer:The height of the top of the ladder from the ground is 4.53 mPlease refer to the photo for the illustration
3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank
prove that cos130°+cos110°+cos10°=0
Answer:
Use the formula cosC+cosD:2cos(C+D/2)cos(C-D/2) Use this in the question: 2cos(10+110/2)cos(10-110/2)+cos130=0 2cos60°cos(-50°)+cos130°=0 2×1/2.cos50+cos130=0 cos50+cos130=0 2cos(50+130/2)cos(50-130/2)=0 2cos90.cos40=0 2×0.cos40=0 0=0 H.P
Step-by-step explanation:
pls help a.s.a.p!!!!!
Answer:
The correct answers are A and E
Step-by-step explanation:
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Somebody confirm that I am not a complete moron please and thanks
Answer:
B
Step-by-step explanation:
Triangle B because 128°>90°
Answer:
it should be correct ANSWER D TRIANGLE B
Step-by-step explanation:
"An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right"
-dont worry you are smart we are all good at something!
Sean places 10 tomato plants in rows. All rows contain the same number of plants. There are between 3 and 8 plants in each row. How many plants are in each row
Answer:
240
Step-by-step explanation:
so what is 3*8 and then what ever you get you multiply by 10
which expressions are equivalent to 3 (3P+3 - 3P-5) ? choose ALL that apply.
a. p - 2
b. p - 6
c. 3(1/3p-2)
d. 3(p-2)
e. 3(1/3p+3-5)
f. 3(1/3p-8)
Answer: The correct one is 3 (1/3p+3-5), p-6, 3(1/3p-2)
Step-by-step explanation: I just did it lol
Im giving Brainlest to who answers the best
Answer:
oop
Step-by-step explanation:
Which fraction is equal to 30%?
A.
30
100
B.
100
300
C.
100
30
D.
3.0
100
Answer:
A. 30/100
Step-by-step explanation:
All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:
(Numerator/Denominator)*100
When you enter 30/100 into the above formula, you get (30/100)*100 which calculates to:
30%
Good Luck!
Answer:
1. 30/100
Step-by-step explanation:
Convert fraction (ratio) 30 / 100 Answer: 30%
Solve for x.
-1+4x5= 3
Answer:
[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] - 1 + 4x.5 = 3[/tex]
[tex] = > 20x - 1 = 3[/tex]
[tex] = > 20x = 3 + 1 = 4[/tex]
[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]
Need help solving this equation
The museum of natural history has an auditorium that can seat 200 people. A class of 45 students is seated in the auditorium for a lecture. What decimal represents the portion of the seats in the auditorium that are empty? Please help FAST!
Answer:
.225
Step-by-step explanation:
45/200
Find the value of x in the triangle shown below 9 12
30 POINTS!!!!!!!!!!!!!!!!!!!! HELP PLZ
A scatter plot is shown below:
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
Answer:
kk
Step-by-step explanation:
(0, 13) and (10,11)
Approximately 4 out of 5 students in Mrs.
Haynes 7th grade math class have cell
phones. If there are 365 students in the 7th
grade, how many would you expect to have
a cell phone?
Answer:
292
Step-by-step explanation:
take 365x 4/5=292.........
The number of students having a cell phone if Approximately 4 out of 5 students in Mrs. Haynes 7th grade math class have cell phones, and there are 365 students in the 7th, is 292.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication.
The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
Approximately 4 out of 5 students in Mrs. Haynes 7th grade math class have cell phones, and there are 365 students in the 7th,
Calculate the number of students having a cell phone as shown below,
The number of students having a cell phone = 4 / 5 of 365
The number of students having a cell phone = 4 / 5 × 365
The number of students having a cell phone = 4 × 73
The number of students having a cell phone = 292
Thus, The number of students having a cell phone is 292.
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ1
What is 6% of 15? Use a fraction to solve
Answer:
0.9
Step-by-step explanation:
can't really Explain, its simple mathamatics 6% of 15 = 0.9
3x+y=10
Which are solutions of the linear equation select all that apply
(1,6)
(2,4)
(3,1)
(4,-1)
(5,-5)
Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest circle that fits on one of the coasters?
Answer:
1.5
Step-by-step explanation:
diameter is half the length of the circle so if it is 1.5 the full length will be 3 inches which is the full length of the coaster
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A.
left
B.
down
C.
up
D.
right
Answer:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A. left
B. down
C. up
✓D. right
Right is the right answer.
Answer:
Down
Step-by-step explanation:
I took the test and got it right
which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
Andrea earns $32.25 a day. After 9 days , about how much will she have earned?
ESTIMATE
