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 radical form of the expression 4 3/2
[tex]\sqrt{}4^{3}[/tex]
Answer:
The radical form of the expression is, 8
What is 151% of 70.Please explain how u did it.
Answer:105.7
Step-by-step explanation: 1.51 times 70
Answer:
[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]
105.7 is the right answer.Someone please help me
Answer:
1. X: 0, -3
2. Y: 1, -1
3. Z: 4, -4
4. M: -4, 1
5. N: -2, 2
6. P: 2, 4
7. Q: 2, 0
8. R: -3, -1
Answer:
1. (0,-3)
2. (1,-1)
3. (4,-4)
4. (-4,1)
5. (-2,2)
6. (2,4)
7. (2,0)
8. (-3,-1)
9-17: first photo
18a: second photo
18b. A pentagon. When you connect the points, the shape has 5 sides
Step-by-step explanation:
Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
Which graph represents the solution of the system:
y=3y=2x−1
Answer:
The second graph
Step-by-step explanation:
Answer: I think it's the 2nd option
Step-by-step explanation: (y=3) on the graph would be right between 4 and 2, going Horizontally across the graph
The (y=2x−1) goes diagonally down the graph: intercepting with the numbers shown on the following question
Also according to my calculations, the line is diagonally on the y intercept just like the second option
If Sally had six balls and Mark had seven how many balls did he have in all
Step-by-step explanation:
he had 7 balls
hope he healthy that's a lot of balls to have
Answer:
13 i think 6+7 = 13 yeh yeh
Solve for u.
Simplify your answer as much as possible.
?
Answer:
The value of u is 5.2
Step-by-step explanation:
.msd
Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?
Answer:
The length of other wall is 3 meters.
Step-by-step explanation:
Given that:
Length of one wall = 4 meters
Length of diagonal from one corner to opposite corner = 5 meters
As the room is rectangular, the diagonal will form a right angled triangle.
The diagonal will be the hypotenuse.
Using pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
Here,
a = 4 and c = 5
[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{9}[/tex]
b = 3 meters
Hence,
The length of other wall is 3 meters.
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
Can sum one help pls I don’t understand
Where is the picture I don't see it
What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?
Answer:
y=1/3x-4
Step-by-step explanation:
plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!
Elise and Kenji are making presentations for a class project. Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji notice that their presentations have both the same number of slides and the same duration. How long is each presentation? How many slides are in each presentation?
Answer: a class project. Elise's slideshow starts with a verbal introduction that is 14 sec… ... Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji ...
Step-by-step explanation: Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji notice that their ... slides and the same duration. How long is each presentation? How
Hw help ASAPPP
+10PTS
please help! which expression is equivalent to (-√-1)?
A: i^31
B: i^29
C: i^24
D: i^18
Answer:
Here Is Your Answer i^31
Convert 3 weeks to hours. Use a lable.
Answer: 504 hours.
Step-by-step explanation: I am assuming it says, use a table not a lable.
Well, I can't make a table, so I will tell you where to put everything in a table.
We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.
24 x 7 = 168 and 1 x 7 = 7
So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by the 3 weeks. So we multiply 168 by 3 which is 504.
So 504 hours are in 3 weeks.
The starting annual salary for an office worker at a company is $29,000. If the company
awards an annual increase of 6.2%, which graph models this situation after the office worker
receives x annual increases?
Office Worker's Salary
Answer:
On my screen the answer would be A
Step-by-step explanation:
but it could be different for u but I found the answer on Quizizz picture down below
The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Calculation of the graph model;Since
The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.
So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Learn more about graph here: https://brainly.com/question/24613103
what is the domain of h?
Answer:
The domain of given function is: [-7,7]
Step-by-step explanation:
Graphs can be used to determine the domain and range of a function.
On a graph, the values across the x-axis are domain and across y-axis are the range.
In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.
Hence,
The domain of given function is: [-7,7]
Solve for x.
13(x-3) = 39
X=1
X=4
x=6
x=10
Simplify or solve the problems
1) 14a+2a=
2) 4x - 7 - 3 =0
3) 6x + 6 - =o
Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125
Answer:
a b and e
Step-by-step explanation:
hope this helps
Answer:
it b and e
Step-by-step explanation:
rrrrrrrrrrrrrrr
WILL GIVE BRAINLIEST PLS HELP
An action figure is 5 inches tall. If the toy company modeled the action figure off of a TV star that is 6 feet 3 inches tall. What ratio did they use?
A. 15 inches = 1 inch
B. 14 inches = 1 inch
C. 14.4 inches = 1 inch
D. 1.6 inches = 1 inch
Answer:
a
Step-by-step explanation:
Answer
-10 – (-2) =
Answer:
8
Step-by-step explanation:
- (-2) is the same as + 2
-10 + 2 = -8
Answer:
-8
Step-by-step explanation:
Since there are two minus sign with the two, make it into plus. There fore the equation is -10+2= -8!
Find the unknown angle measure by solving for the given variable.
Supplementary angles
Step-by-step explanation:
Given that,
∠PSQ = 13x+7
∠QSR = 42x+8
We need to find the measure of angles.
We can use the property of linear pair. ATQ,
13x+7 + 42x+8 = 180 (Linear pair)
Taking like terms,
13x+42x = 180 - 7-8
55x = 165
x = 3
So,
∠PSQ = 13x+7 = 13(3) + 7 = 46°
∠QSR = 42x+8 = 42(3) + 8 = 134°
Hence, this is the required solution.
tell whether each question is true or false.
a.
[tex] \sqrt[3]{60} = 20 \: true \: or \: false[/tex]
b.
[tex] \sqrt[3]{64} = \sqrt{16 \:} true \: or \: false[/tex]
c.
[tex]25 = \sqrt[3]{125} \: true \: or \: false[/tex]
d.
[tex]12 = \sqrt[]{144} \: true \: or \: false[/tex]
e.
[tex] \sqrt{ \frac{4}{9} } = \sqrt[ 3]{ \frac{8}{27} } \: true \: or \: false[/tex]
Answer:
E
Step-by-step explanation:
Me sale a mi
Answer:
a is false, b. is true, c. is true, d. is true
Step-by-step explanation:
PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer
Given: Sorry the images are at the bottom.
To find:
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Solution:
On inspection of values of x and f(x) it is clear that f(x) is a linear function
i.e.
1)Slope of f(x) and y-intercept of f(x):
Convert the function in slope intercept form and calculate the slope.
Slope intercept form:
Here,
Slope of f(x)=1,
y-intercept of f(x)=(0,0)
2) Slope and y-intercept of g(x):
Slope of g(x)=7
Y-INTERCEPT of g(x) =(0,2)
Part A:
Slope of f(x) is 1 and slope of g(x) is 7.
Part B:
g(x) has a greater y-intercept.
Hope it helps you.
0.05x =0.5 can someone please helppppp!!!!!!!!!!
Answer:
x equals 10
Step-by-step explanation:
you are moving the 5 from the hundredth value to the tenth, meaning it is becoming a higher number. for this one, just multiply by 10.
A restaurant customer left $1.80 as a tip. The tax was 5% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip?
Answer:
it's b
Step-by-step explanation:
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
The school store sells 4 pencils for $0.50. At this rate, what is the cost in dollars) of 10 pencils?
Answer:
1.25
Step-by-step explanation:
10/4=2.5
2.5*0.5
Answer:
4 pencils = $0.50, divide 0.50 by 4, 1 pencil is $0.125. multiply that by 10, and 10 pencils is $1.25
Step-by-step explanation:
Of the 100 students that were surveyed 36 students say
they were on their phone less than one hour a day. Of the
55 females, 40 use their phone more than one hour a
day. How many males say they use their phone less than
one hour a day?
HELP
Answer:
15 females say they use their phone less than an hour a day
36 - 15 = 21 males that use their phone less than an hour a day
(equation above is the total number of students that use their phone less than an hour a day, with the 15 females that do being subtracted from it. that will leave the number of males that use their phone less than an hour a day, which is your answer.)