Answer:
I think it would be 120
Step-by-step explanation:
You add 120+120 and it would equal 240. Then 240 dived by 2 which will equal 120.
(120 + 120)= 240 dived by 2= 120 I might be wrong
The income and the costs of a company are given by the equations below, where x is the number of units sold, in hundreds, and y is the total dollar amount, in thousands.
Income: y = -0.5x2 + 6x + 90
Costs: y = 2.5x + 30
Determine which of the following would be a viable solution for the number of units sold that would cause the income and the costs to be the same.
a. 700 units sold and a value of $47,500
b. 800 units sold and a value of $32,800
c. 1,000 units sold and a value of $25,000
d. 1,500 units sold and a value of $67,500
Answer:
D
Step-by-step explanation:
The income is given by:
[tex]y=-0.5x^2+6x+90[/tex]
And the costs are given by:
[tex]y=2.5x+30[/tex]
Where x is the number of units sold, in hundreds, and y is the total dollar amount, in thousands.
We want to find a viable solution for the number of units sold that would cause the income and cost to be the same.
So, we can set the two equations equal to each other and solve for x. Therefore:
[tex]-0.5x^2+6x+90=2.5x+30[/tex]
Subtract 2.5x and 30 from both sides:
[tex]-0.5x^2+3.5x+60=0[/tex]
Remove the decimals and the negative of the leading coefficient by multiply both sides by -2:
[tex]x^2-7x-120=0[/tex]
Factor. We can use -15 and 8. So:
[tex](x-15)(x+8)=0[/tex]
Zero Product Property:
[tex]x=15 \text{ or } x=-8[/tex]
The answer must be positive since we cannot sell negative units.
So, the value of x is:
[tex]x=15\text{ or } 1,500 \text{ units}[/tex]
Then using either equation, the value will be:
[tex]2.5(15)+30=67.5=\$67,500[/tex]
Our answer is D.
Answer:
d. 1,500 units sold and a value of $67,500
Step-by-step explanation:
Write 73/22 as a decimal.
Answer:
the answer of decimal is 331.82
57
a)
Plot the points
i) A (2, 3) and
ii) B (1,-4) on the grid.
4
Shape
3
tल NT
point
b)
point
Point C has the
same x-coordinate as B
same y-coordinate as A.
Plot the point C on the grid.
point
point
1
le
3 4
5 x
4 -3 -2 -1 Ol
-1
c)
-2
-3
Point D has the
same x-coordinate as the
y-coordinate of B
same y-coordinate as the
x-coordinate of A.
Plot the point D on the grid.
-41 **
-5
What happens because of nuclear fusion?
A.
Earth experiences cold temperatures needed to sustain life.
B.
Plants are unable to produce their own food.
C.
Animals receive too much heat and begin to die out.
D.
Earth is provided with heat and light energy needed to sustain life.
Answer:
D
Step-by-step explanation:
Nuclear fusion happens in the sun, D describes what the sun does.
A sleeping bag is on sale for $14.48 and has been discounted 30%. What was the original price of
the sleeping bag?
The original price of the sleeping bag was $
Answer:
50$
Step-by-step explanation:
Help meh plsssssssssssssssssssssss
Answer:
the first one is 6 ,9, 13.5
Step-by-step explanation:
A server at a restaurant works 5 hours on a weekday and 8 hours on a weekend day. Use the expression to find the number of hours the server works on 4 weekdays and 2 weekend days.
Answer: 36 hours
Step-by-step explanation:
t = total hours
t = 5d + 8w
t = 5(4) + 8(2)
t = 20 + 16
t = 36
rewrite 3/4x+3=5/8 so that it does not have fractions.
Nicole can buy 3 pounds of Luce suppose an orchard for $4.95 or she can buy a 25 ounce bag of apples from the store for $3.79 which is the better deal?
9514 1404 393
Answer:
orchard apples are lower-cost
Step-by-step explanation:
3 pounds is 48 ounces, so the equivalent to the store offering might be about 24 ounces for $4.95/2 ≈ $2.48.
This is substantially less cost per ounce than 25 ounces for $3.79. (24 and 25 are very near, but $2.48 and $3.79 are not.)
Orchard apples are the better deal.
Anyone wanna play Splatoon 2?
(if no then don't answer}
Answer:
What is that?
Step-by-step explanation:
Answer:
Sure I do not know how to join others tho and I don't have wifi sadly :(
Step-by-step explanation:
What would be the most logical first step for solving this quadratis equation?
x²+2x+13= -8
Answer:
B. Add 8 to both sides
Step-by-step explanation:
So you can have 0 at the other end and factor it properly.
Answer:
subtract 13 from both sides
Step-by-step explanation:
subtract 13 so that you will have all of the x's on one side and all of the constant numbers on the other side of the equal sign.
The difference between two numbers is 78. Six times the smaller is equal to 7 more than the larger. What are the numbers?
Answer: x=95 and y=17
Step-by-step explanation:
X-y=78
6y=7+x
6y-7=x
6y-7-y=78
5y-7=78
5y=85
y=17
x-17=78
x=78+17
x=95
Answer:
x=143
y=25
thus ur two numbers are 143 and 25
A group of 7500 individuals take part in a survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as “Sick” has the disease, while someone listed as “Not Sick” does not. “Tested Positive” means the test indicated the person was sick, and “Tested Negative” means the test indicated they were not sick. The test is believed to be around 99% accurate.
Answer:
Please include the table below and the question
Step-by-step explanation:
One angle of a triangle is three times larger as another. the measure of the third angle is 50 degrees more than that of the smallest angle. Find the measure of each angle.
Answer:
Smallest angle of triangle=26 degrees
Second angle of triangle =78 degrees
Third angle of triangle =76 degrees
Step-by-step explanation:
Let x be the smallest angle of triangle
Second angle of triangle=3x
Third angle of triangle=x+50
We know that
Sum of angles of triangle=180 degrees
Using the property
[tex]x+3x+x+50=180[/tex]
[tex]5x=180-50[/tex]
[tex]5x=130[/tex]
[tex]x=\frac{130}{5}[/tex]
[tex]x=26[/tex] degree
Smallest angle of triangle=26 degrees
Second angle of triangle =3(26)=78 degrees
Third angle of triangle =26+50=76 degrees
HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES
Answer:
Your answer is A
Step-by-step explanation:
which of the following lines are parralell to x=7
Since x=7 is a vertical line, the slope is undefined. To find an equation that is parallel, the slopes must be equal. Since the slope is undefined, the slope of the parallel line is also undefined. However answer is x=4.
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = [tex]\frac{3}{2}[/tex]x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answer:
1 1/2
Step-by-step explanation:
Will give brainliest
Answer:
its all sides are equal and diagonal make 90° angle.
so, the answer option c.
I need help please help me
Answer:
look below
Step-by-step explanation:
1*2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
11^2=121
12^2=144
13^2=169
14^2=196
15^2=225
I had to memorize all of these up to 20 squared 2 years ago lol
Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kayla’s number?
Answer:
414Step-by-step explanation:
Let the number be aba as it is a palindrome
It divisible by 18, so it is an even number with sum of digits divisible to 9
2a + b = 9kIt is one less than a multiple of 5:
aba = 100a + 10b + a = 101a + 10bMultiple of 5 will end with 0 or 5, it has to be 5 as a is even, then:
a = 5 - 1 = 4The number 4b4 is divisible by 9 only if b = 1:
2*4 + b = 9k ⇒ b = 1So the number is:
414Lets verify:
414/18 = 23414 + 1 = 415- divisible by 5414 - is palindromeAnswer:
414
Step-by-step explanation:
EE
Pleaaaaaase help this is due today
What does the statement “ The shortest distance between two points is the straight line between them” have to do with the Triangle Inequality Conjecture?
Do not answer this with one, none, or a ridiculous response please... this is serious
Answer:
https://geometryhelp.net/triangle-inequality-theorem/
Step-by-step explanation:
This is from that site. Visit it and you may find what you're looking for.
If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.
Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.
Need help on this please
QUESTION: What type of correlation does this scatter plot show? *
Help ASAP I’ll mark brainliest
Sixteen less than w is three. What is the value of w?
Group of answer choices
13
19
20
48
Answer:
19
Step-by-step explanation:
19 - 16 = 3
I will give brainliest to the right answer:)
Answer:
178.1
Step-by-step explanation:
In the first blank, write in 7 for x, and in the second blank, write in 8 for y. Then perform the indicated multiplication and addition.
12.3(7) + 11.5(8), or
86.1 + 92 = 178.1
Answer the attachment
And subscribe to Offxcial Prxmiise
The answer is -77
Sorry if it is wrong but this is what I got
Question 11
Simplify - 4(x + y).
-4(x+y)
= -4x - 4y
pls give me brainliest
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8 square inches
Step-by-step explanation:
The formula for are is A=wl if we plug our numbers in we have A=4x2=8 In other terms we now know A=8
6. When a company receives an order, there is a probability of 0.42 that its value is over $1000. If an order is valued at over $1000, then there is a probability of 0.63 that the customer will pay with a credit card. a. What is the probability that the next three independent orders will each be valued at over $1000
Answer:
0.074088
Step-by-step explanation:
Let
A:Value of order over $1000
B:Customer pay with credit card
We are given that
Probability of value of order over $1000,P(A)=0.42
If an order is valued at over $1000, then the probability that the customer will pay with a credit card, P(B/A)=0.63
We have to find the probability that the next three independent orders will each be valued at over $1000
We know that
When two two events A and B are independent then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
Using the formula
The probability that the next three independent orders will each be valued at over $1000=[tex]0.42\times 0.42\times 0.42[/tex]
The probability that the next three independent orders will each be valued at over $1000=0.074088
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
8 apples for 9.25
Step-by-step explanation:
because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.