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:
Which of the following represents the range if the function g(x) below? G(x) = 5(x - 2) ^ 2 - 7
Answer:
[-7,∞)
Step-by-step explanation:
This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.
Combine the Expression: (3z + 1) + (5 + 7z)
Answer:
10z + 6
Step-by-step explanation:
(3z + 1) + (5 + 7z) =
Drop the parentheses since they are unnecessary.
= 3z + 1 + 5 + 7z
Group like terms together.
= 3z + 7z + 1 + 5
Combine like terms.
= 10z + 6
Answer: 10z + 6
Step-by-step explanation: So you simplify the expression by adding 3z and 7z to get 10z. Next u add 1 and 5 to get 6. Combine those two to get the final answer of 10z+6.
What is the perimeter of the triangle?
units=
Answer:
36
Step-by-step explanation:
Use pythagorean theorem
side 1 = 9
side 2 = 12
9^2 + 12^2 = third side ^2
third side = 15
9+12+15 = 36
Hope this helpful!!!!! :)
the inverse of this equation
Answer:
[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
Step-by-step explanation:
[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
-) In this table, y is a linear function of x.
х
y
0
55
-3
85
-6
115
-9
145
-) Enter the rate of change of this function.
Answer:
I'm not great at this but I think that the rate of change is 30.
I hope this helps!
What is the volume of this rectangular prism?
4 cm
[tex] \frac{5}{2} cm[/tex]
[tex] \frac{1}{2} cm[/tex]
need answer asap
Answer:
D on Edg
Step-by-step explanation:
Answer: V = 5cm³
Step-by-step explanation: We have to follow the formula to get the volume of this rectangular prism, Volume = Length * Height * Width.
First, let's turn the fractions into deciamls:
4 cm
2.5 cm
0.5 cm
The length is 4 cm, the width is 0.5 cm, and the height is 2.5 cm.
4 x 2.5 x 0.5 = 5
5cm³
I hope this helps!
Plz I need your help I will mark brainliest!!Which answer best describes the shape of this distribution?
skewed right
skewed left
bell-shaped
uniform
An untitled line plot from 35 to 49. The plot displays the following values as dots above the corresponding value on the number line. One dot at 36. One dot at 37. One dot at 38. One dot at 40. Two dots at 41. One dot at 42. Three dots at 43. Four dots at 44. Five dots at 45. Three dots at 46. Two dots at 47. One dot at 48.
Answer:
What website is this on?
Step-by-step explanation:
Answer:
Skewed left
Step-by-step explanation:
A straight line is drawn through the intersection of the two diagonals of a parallelogram. Prove that it exactly divides the parallelogram into two equal parts by area.
Answer:
Area of rectangle APQB = Area of rectangle DPQC
Where:
PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD
Step-by-step explanation:
Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram
Given the parallelogram ABCD with a point of intersection of the two diagonals = O
We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;
The diagonals of a parallelogram bisect each other hence
OA = OC and OB = OD
Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOB ≅ ΔCOD (SAS congruence rule)
Area of ΔAOB = Area of ΔCOD
In ΔAOP and ΔCOQ, we have;
∠PAO = ∠QCO (alternate interior angles of a parallel line)
OA = OC (as above)
∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOP ≅ ΔQOC
Area of ΔAOP = Area of ΔQOC
From which we have by similarity;
ΔBOQ ≅ ΔPOD
Area of ΔBOQ = Area of ΔPOD
Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ
∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.
At 6PM, the temperature was 42°F. By 10PM, the temperature has dropped
5 degrees. By midnight, it had dropped another 7 degrees. What was the
temperature at midnight? *
30°F
35°F
37°F
47°F
Answer: 30
Step-by-step explanation: Simplify the expression.
which table represents a function
Answer:
Table 3
Step-by-step explanation:
It is the only table that has only one output f(x) from each input (x).
Maria wraps the gift she is taking to a friend’s birthday party. She doesn’t have much paper, so she does not overlap any of the edges. The dimensions of the box are: width is 30 cm, length is 15 cm, and height is 20 cm. How much paper did it take to cover the gift?
Answer:
Total paper required to wrap the gift without any overlaps: [tex]2700\ cm^{2}[/tex]
Step-by-step explanation:
Here, we need to find the total paper required without any sides overlapping to wrap the gift.
The gift is of cuboid type.
Given the following:
Length = 15 cm
Width = 30 cm
Height = 20 cm
Please refer to the attached figure.
We can infer that to find the paper required, we actually need to the find the total surface area of the cuboid.
Because the gift wrap will be done on the faces of gift (which is of cuboid shape).
Formula for Surface Area of Cuboid:
[tex]\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times 20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}[/tex]
Hence, total paper required to wrap the gift without any overlaps: [tex]2700 cm^{2}[/tex]
?? please help a dude out
Tis so easyAnswer:
1:> 2:< 3>
Step-by-step explanation:
Is this statement true or false?
An automobile with an automatic transmission does not have a clutch pedal to change gears while driving.
true
false
14
Select the decimal that is equivalent to
40
Answer
40% = 0,4
ExplantionDivide 40 by 100
remove the 0s from both side
it will be
4 ÷ 10=
you go one step to the right and add a zero before the dot
which equal to
0.4
(4) to the power of negative 2 simpfiled
Answer:
0.0625
Step-by-step explanation:
PLEASE HELP 35 POINTS!!!!!!
In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.
Answer:
Step-by-step explanation:
A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.
Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money
While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.
The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.
In essence, the 529 plan is a specific investment while a money market account is more general in nature.
Answer:
im grounded bc i cheated with this
Step-by-step explanation:
Jordan is cutting a 2 m by 1 1\4 piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the peices
Answer:
The area of the original piece is (2)(5/4)
A cut along the diagonal makes to equal pieces.
I need help marking brainliest
1)
Increases as the habitat is increasingly polluted
2)
Decreases as the habitat is increasingly polluted
3)
Remains the same as prey population remains the same
4)
Remains the same as predator population remains the same
Answer:
2) Decreases as the habitat is increasingly polluted
Step-by-step explanation:
number 1 make no sense. 3; at the start, say the population is x. but taking into account the pesticide, it cant no longer ramain the same (pesticide kills some of the x) . 4; similar to the case for answer 3
Help !!!!!!!!!!!!!!!!!!! Please !!!!!
Answer: (A). 6x^8y^5
B). 4x^5y^8
C). 12a^9b^7
D). 6s^9t^3
Step-by-step explanation:
Solve for x
HELPP PLEASEE
20 points!
Answer:
[tex]\sqrt{119}[/tex]
Step-by-step explanation:
Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.
a^2+5^2=10^2
a^2+25=100
a^2=75
square root of 75
a=5[tex]\sqrt{3}[/tex]
5[tex]\sqrt{3}[/tex]^2+x^2=12^2
[tex]\sqrt{119}[/tex]
Answer:
8 1/3, or 8.307
Step-by-step explanation:
First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!
[tex]10^{2} - 5^{2} = 75[/tex]
Now, you have two options:
A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.
B) If you need to have something written down for your though process, go ahead and square root 75.
I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!
For the second half of the problem, to find x, we must again use the Pythagorean Theorem!
[tex]12^{2} = x^{2} + 75[/tex]
144 - 75 = 69
[tex]\sqrt{69} = 8.30662386292[/tex]
And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!
Hope this helps! Math is fun!
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
There are 21 cards numbered 1 to 21.if you pick a card what is the probability that choose an odd number or a two?
1/2
4/7
11/21
44/147
Answer:
4/7
Step-by-step explanation:
There are 11 odd numbers less than or equal to 21.
There is 1 two.
11 + 1 = 12 ways
12 outcomes/ 21 total outcomes =
4/7
A polygon has verticies of (-2,0), (0,2), (4,3), (5,-2), and (1,-3). What type of shape is it?
A. Hexagon
B. Parallelogram
C. Trapazoid
D. Pentagon
Answer:
I think it c ssry if it is wrong
Answer:
D. pentagon
Step-by-step explanation:
Any shape that has 5 verticies is a pentagon.
Solve and graph
on number line.
a-17>-9
Answer:
Hey I dont know how to graph it but the answer is a > 8. Hope this helps
Step-by-step explanation:
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
a jar contains 6 red marbles, 9 yellow marbles, and 5 green marbles. What fraction of the marbles in the jar are red?
Answer: 6/20 are red
Step-by-step explanation: add all the marbles together and put the number of reds over the total number of marbles
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples.
The number of apples can be represented by the equation 2 – 6 = 36. Plot a point on the
number line to represent x, the number of apples Mariana picked.
39
40
43
41
42.
44
36
37
38
32
31
33
35
30
34
help please! 100 points! question is in photo
Answer:
D
Step-by-step explanation:
Answer:
C) [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
This question requires trigonometry. Trigonometry is used to work out lengths or angles when you are already given some. In this question we are given which formula to use but I will tell how to figure it out if the question doesn't give it to you. The formula's are
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
First of all we have to label the sides,
→ The hypotenuse is the angle opposite the right angle so it is 13
→ The opposite is the side opposite the angle so it is 5
→ The adjacent is the remaining side so it is 12
In the question it has given us the formula to use so we use it,
→ Sin⁻¹ = Opposite ÷ Hypotenuse
⇒ Substitute in the values
→ Sin⁻¹ = 5 ÷ 13
The value of sinM is [tex]\frac{5}{13}[/tex]
Select all the correct answers.
Which classifications describe this figure?
Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle
Parallelogsam
Answer:
parallelogram, quadrilateral, rhombus
Step-by-step explanation:
opposite sides are parallel and equal
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
Answer:
[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
Step-by-step explanation:
Given the information:
A'B'C' reflection over x = −1dilation by a scale factor of 4 from the origin<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
We choose C.
Hope it will find you well.
