Answer:
$76,487.50
Step-by-step explanation:
Will give brainliest
Answer:
its all sides are equal and diagonal make 90° angle.
so, the answer option c.
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:
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.
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
Matthew makes a drink using lemonade and orange juice.
210ml of his drink was lemonade
140ml of his drink was orange juice
Rosie makes more of the drink for a party using the same ratio of lemonade to orange juice.
Rosie uses 6 litres of lemonade.
How much orange juice does Rosie use?
Answer: 4
Step-by-step explanation:
Matthew makes a drink using lemonade and orange juice.
210ml of his drink was lemonade
140ml of his drink was orange juice
Based on the above, we can see that the ratio of lemonade to orange juice is 3:2. 70 is a common factor to 210 and 140. 210/70 = 3 while 140/70 = 2.
Therefore, since Rosie uses 6 litres of lemonade, the amount of orange juice that Rosie use will be:
= 6 × 3/2
= 4
Rosie needs 4 litres of orange juice.
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
Step-by-step explanation: Speed is distance an object travelled per unit time.
It is represented by letter v and can assume various units.
1) [tex]v=\frac{distance}{time}=\frac{d}{t}[/tex]
[tex]v=\frac{90}{5}[/tex]
v = 18 miles per hour
Her average speed is 18 mph.
2) Rearraging formula for distance:
d = v.t
d = 70 * 4
d = 280 miles
You would travel 280 miles.
3) [tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{315}{6}[/tex]
v = 52.5 mph
My average speed is 52.5 mph.
4) Rearranging formula to determine time:
[tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{210}{90}[/tex]
t = 2.34 hours
It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.
5) The unit change but the way of calculating time is the same.
[tex]t=\frac{2000}{4}[/tex]
t = 500 s
or t = 8.34 minutes
It will take, for an athlete to run 2000m, 8.34 minutes.
6) a) All units must match, so for a speed in mph:
45 minutes is 0.75 hours. Total time is 8.75 hours.
[tex]v=\frac{420}{8.75}[/tex]
v = 560 mph
The average speed is 560 mph.
b) [tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{420}{63}[/tex]
t = 6.67 hours
Sam will take 6.67 hours to covered the distance.
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
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
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:
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:
QUESTION: What type of correlation does this scatter plot show? *
Help ASAP I’ll mark brainliest
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.
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.
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.
Need help on this please
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:
Which expression is greater than the exact answer to the problem 2789 x 3.875
A 2800 x 4
B 3000 x3
C2700 x 4
D 2800 x 3
hurry quick pls
Answer:
Answer is A
Step-by-step explanation:
when u multiply 2789 x 3.875 u will get 10807.375 so now u have to figure out which answer give a greater amount of number than that, when you try the first answer which is 2800 x 4 u will get 11200 which is greater than the original equation
Help meh plsssssssssssssssssssssss
Answer:
the first one is 6 ,9, 13.5
Step-by-step explanation:
how many seconds were in the month of February 2017? and how did you calculate the answer?
Answer:
2419200 seconds
Step-by-step explanation:
this is the answer to your question
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.
Question 11
Simplify - 4(x + y).
-4(x+y)
= -4x - 4y
pls give me brainliest
Answer the attachment
And subscribe to Offxcial Prxmiise
The answer is -77
Sorry if it is wrong but this is what I got
What is the domain of the function f(x)= x^2-16/x-4
Answer:
Step-by-step explanation:
this is a rational function thus the domain is all real numbers except the values which make zero to denominator
hence x-4=0 ;x=4
the domain of that function is R- {4}
HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES
Answer:
Your answer is A
Step-by-step explanation:
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
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
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
Write 73/22 as a decimal.
Answer:
the answer of decimal is 331.82
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
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