A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
HELP WITH THIS QUESTION???
Answer:
The range is 9 i think I'm not sure.
step-by-step explanation:
The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down
Answer:
2 units up
Step-by-step explanation:
You're just taking the entire graph of cos(x) and then adding 2 so it moves everything up. If you added 2 to x BEFORE taking the cosine
(like y = cos (x+2) ), then you would shift it left 2. Adding and subtracting from the x moves everything left or right. Adding or subtracting at the end just moves it up and down.
The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.
Here, The function is,
⇒ y = cos x
Now, After translate 2 units up, we get;
⇒ y = cos x + 2
Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
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110-
у
70-
y = [ ? ]°
Answer:
y = 90°
Step-by-step explanation:
y + x = 110° because the sum of two interior angles is equal to an interior angle
x + 70° = y ➡ y - x = 70°
y + x = 110°
y - x = 70° add two equations
2y = 180° (x eliminated -x)
y = 90°
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Question 5 (1 point)
Answer:
B. [tex]\frac{d + 13}{d + 4}[/tex]
Hope this Helps :)
Joe has 7 shirts, 4 pairs of pants and 2 pairs of shoes. He needs to make an outfit containing one of each
item. How many different outfits are possible? (We assume that one different item makes a different outfit)
a
13 outfits
28 outfits
26 outfits
56 outfits
d
Joe has 56 possible different outfits.
What are combinations?A combination is a mathematical method in which the number of possible ways in which a set of given items can be chosen, such that the order in which it happens does not matter items.
The number of possible outfits can be chosen as shown below:Joe has 7 different choices for shirts.
Joe has 4 different choices for pants.
Joe has 2 different choices for shoes.
This means that number of combinations in which Joe can choose an outfit can be found by multiplying all the choices.
This can be done as shown below:
Number of choices for shirts * Number of choices for pants * Number of choices for shoes
= 7 * 4 * 2
= 56 combinations.
Therefore, we have found that Joe has 56 possible different outfits. The correct answer is option D.
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Complete the equation of the line through (−10,3) (−8,−8). Use exact numbers. y=
Answer:
y = -11/2x - 52
Step-by-step explanation:
Now follow the equation for slope: m = change in y / change in x.
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{-8-3}{-8--10}[/tex]
[tex]\frac{-11}{2}[/tex]
The slope is -11/2. m=-11/2
Use slope-intercept form:
y=mx+b
Plug in a point and the slope:
-8 = (-11/2)(-8) + b
-8 = 44 + b
b = -52
y = -11/2x - 52
Answer:
-11/2x-52
Step-by-step explanation:
i know it is correct
Select the correct answer from the drop-down menu.
Find the polynomial.
2(3y − 1)(y − 3) is the factored form of .
Answer:
6y² - 20y + 6
Step-by-step explanation:
Use FOIL method
(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)
= 3y²- 9y - y + 3 {add the like terms}
= 3y² - 10y + 3
2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)
= 2*3y² - 2*10y + 2*3
= 6y² - 20y + 6
The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.
Answer:
8 feet
Step-by-step explanation:
Hello, I can help you with this.
the volume of a sphere is given by.
[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]
Step one
isolate radius
[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]
According to the question the volume is 267.95 cubic feet , and pi= 3.14
put this values into the equation
let
volume =267.95
pi=3.14
[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]
so the radius of the beach ball is 4 feet, but we need its diameter
Diameter=2* radius
radius=4 feet
Diameter= 4 feet*2
Diameter=8 feet
what a big ball¡¡
I hope it helps, have a great day.
If the Lazy River is 7 ft deep, what is the volume of the Lazy River in cubic feet?
Answer:
Step-by-step explanation:
Evaluate A^2 for A = -4. -16 -8 8 16
Answer:
The answer is 4^2 (-16)
Step-by-step explanation:
If the associated Linear function of this sequence was graphed, what woulld be its slope?
A) 2
B) 4
C) 8
D)1/4
Answer:
I think it is A but the other person might be right
Jimmy is in New York City to see a Drake concert. He needs to get
from his Airbnb to the concert venue, so he decides to take a cab.
The cab charges a $3 boarding fee in addition to charging $0.50
per mile traveled. Jimmy gave the driver a $2 tip and paid $10.
How far away was the concert venue?
Answer:
16
Step-by-step explanation:
y= .5x+3
10=.5x+2
Which is a solution for the equation 3x + 13 = 73?
Answer:
x=20
Step-by-step explanation:
73-13=60
60÷3=20
Answer:
x = 20
Step-by-step explanation:
3x + 13 = 73
3x = 73 - 13
3x = 60
x = 60 : 3
x = 20
Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help
Answer:
C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
Step-by-step explanation:
Just took assignment.
Answer:
C
Step-by-step explanation:
c
What is the value of x?
B
80°
Enter your answer in the box.
x=
Х
А
55°
с
Answer:
x = 45
Step-by-step explanation:
The sum of the angles of a triangle is 180
80+55+x = 180
135 +x = 180
Subtract 135 from each side
x = 180-135
x =45
Answer:
45
Step-by-step explanation:
combining the a and b lengths gives you 135 then subtract by 180 and you get 45.
Number 11-16 please help me I must make sure You choose a Method of choice so whichever is easiest .
Answer:
#11: 1180.428 571
#12: 80.166... repeating
#13: 237.5
#14: 686
#15: 2682.333 repeating
#16: 122
Step-by-step explanation:
Hopes this helps. Also #12 and #15 are repeating. Just FYI.
burritos are on the sale for 30% off. Your favorite burrito normally costs $8.50. how much does it cost now?
Answer:
5$
Step-by-step explanation:
70%x8.50 equalss 5$
$8.5− 30
/100 = 41
/5
(Decimal: 8.2)
Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.
Can someone help me with this please? In Belleville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 9 miles and the distance between the courthouse and the city pool is 15 miles, how far is the library from the community pool?
Answer:
12 miles
Step-by-step explanation:
A right triangle is formed, where the distance between the library and the courthouse is one leg ( = 9 miles), the distance between the library and the swimming pool is the other leg (let's call it x), and the distance between the swimming pool and the courthouse is the hypotenuse ( = 15 miles).
From Pythagorean theorem:
15² = 9² + x²
225 - 81 = x²
x = √144
x = 12 miles
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.
P = 1.50n – 500
How many candy bars must be sold to make a profit of $400?
Answer:
600 candy bars must be sold to make a profit of $400
Step-by-step explanation:
Answer:
i have no clue
Step-by-step explanation:
seven subtracted from c is less than -16
Since this question is asking for an inequality formula, let's get started.
Seven subtracted from c=c-7 (it is NOT 7-c because then it would ask c subtracted by seven)
Less than means that the c-7 is less than -16, so it would face this way <
The final answer is c-7<-16
Can somebody explain step by step ?
Answer:
[tex]3m\sqrt[5]{2m^4p^4}[/tex]
Step-by-step explanation:
We want to find the fifth root of [tex]486m^9p^4[/tex]. In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 * [tex]3^5[/tex]
Ah, we see that [tex]3^5[/tex] can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus: [tex]3m\sqrt[5]{2m^4p^4}[/tex].
~ an aesthetics lover
Find the volume of the oblique rectangular prism with length 8 cm, width 7 cm, and height 9 cm.
Answer:
48
Step-by-step explanation:
2 x 8 + 2 x 7 + 2 x 9 = 48
HOPE IT HELPS!!!!
1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
I need help nothing is working for the answer p÷3> 2
Answer:
p > 6
Step-by-step explanation:
Given
[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )
Multiply both sides by 3 to clear the fraction
p > 6
Answer:
honestly idk
Step-by-step explanation:
it may be p (1/3)
hope this is right:000
PLS HELP I WILL MARK BRAINLIEST (EDITED)
Step 2: Finding the area of triangles
a) The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below.
a rectangle with a line going from the upper left corner to the down right corner. at the left corner, under the line is 60. under the right corner, is 30. there is a square at the down left corner
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points)
Answer:
51.9
Step-by-step explanation:
because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).
The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
What is a right-angle triangle?"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".
For the given situation,
A rectangular door has a diagonal, d = 60
A rectangular door has a height, h = 30
When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.
The formula of Pythagoras theorem,
[tex]Hypotenuse^{2} = base^{2}+perpendicular^{2}[/tex]
[tex]Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} } \\[/tex]
On substituting the above values,
⇒ [tex]Base = \sqrt{60^{2}-30^{2} }[/tex]
⇒ [tex]Base=\sqrt{2700}[/tex]
⇒ [tex]Base=51.9[/tex]
The formula to find the area of a right-angle triangle, [tex]A = \frac{1}{2}(base)(height)[/tex]
⇒ [tex]A = \frac{1}{2}(51.9)(30)[/tex]
⇒ [tex]A=778.5[/tex]
Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
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Convert: 15,940 feet = how many miles and feet
Answer:
3.02 miles
Step-by-step explanation:
jina works mowing lawns and babysitting she earns $7.90 an hour for mowing $7.40 an hour for babysitting how much will she earn for 1 hours of mowing and 5 hours of babysitting
Answer:
44.90
Step-by-step explanation:
1 hour mowing = 1*7.90 = 7.90
5 hours babysitting = 5*7.40 =37.00
The total is 7.90+37 =44.90
