Which graph represents the solution set of the following situation? Andrew is buying fruit for a fruit salad. Bananas cost $1 a pound and oranges cost $2 a pound. He plans to buy at least 10 pounds of fruit and spend no more than $20. Let x represent pounds of bananas and let y represent pounds of oranges..
Answers
Answer:
[tex]x + y \ge 10[/tex]
[tex]x + 2y \le 20[/tex]
Step-by-step explanation:
The question is incomplete as the graphs are not shown. So, I will derive the inequalities and plot the graph.
Given
[tex]Banana = \$1[/tex]
[tex]Orange = \$ 2[/tex]
[tex]Purchase = 10lb[/tex] --- At least
[tex]Spedings = \$20[/tex] --- Not more than
And we have:
[tex]x = Banana; y = Orange[/tex]
The number of purchase will be represented as:
[tex]x + y \ge Purchase[/tex] ---- (at least)
[tex]x + y \ge 10[/tex]
The amount spent will be represented as;
[tex]1 * x + 2 * y \le 20[/tex] --- (not more than)
[tex]x + 2y \le 20[/tex]
So, the inequalities are:
[tex]x + y \ge 10[/tex]
[tex]x + 2y \le 20[/tex]
See attachment for graph
Related Questions
Graph the function.
f(x)=5/9(x+9)(x+3)
Answers
Answer: i inserted two just incase but tell me if i am wrong
Step-by-step explanation:
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.4 pounds and a standard deviation of 5.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 73 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answers
Answer:
sampling distribution = 22.4
sampling deviation = 0.68
Step-by-step explanation:
Given that :
Mean , μ = 22.4
Standard deviation, σ = 5.8
n = 73
Therefore, the sampling distribution of the mean and the standard deviation is
[tex]$\mu_{\overline x} = 22.4$[/tex]
So, [tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n}$[/tex]
[tex]$=\frac{5.8}{\sqrt {73}}$[/tex]
= 0.68
So the sampling distribution of the mean is 22.4
The standard deviation is 0.68
Help please will mark brainless 25 points due today
Answers
Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select all that apply.
Answers
Answer:
RM 4.05
Step-by-step explanation:
6mnts=70% of 500 is 350, so 150
1 year= 70% of 150 is 105, so 45
1 n half year = 70% of 45 is 31.5, so 13.5
2 years = 70% of 13.5 is 9.45, so Rm 4.05
BETTER ASK HER TO DONATE THE PHONE.....LOL
Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?
Answers
Answer:
11
Step-by-step explanation:
If A = (0,0) and B = (8, 2), what is the length of AB?
A. 8.25 units
B. 9.41 units
C. 3.16 units
D. 7.75 units
Answers
Answer:
8.25
= root under (8-0)^2+(2-0)^2
= root under (8)^2+(2)^2
=root under 64+4
= root under 68
8.25 units
I hope this will help you and plz mark me as brainest answer
Can someone help me? I am stuck on this question! and tysm for the people who helped me!! <3 have a nice day!
Answers
pls help me on this !!!
Answers
Abcdefghijklmnopqrstuvwxyz
Answer:
50
Step-by-step explanation:
22 + 18 = 40
90 - 40 = 50
no way you can round it
What is value of the expression 9x+4y when x= and y=8
Answers
Answer: sorry about that Evaluate for y=8
9x+(4)(8)
9x+(4)(8)
=9x+32
Hope this help :D
Answer:
It doesn't say what x is so once you have x all you have to do is insert the numbers in their place, so you will get 9(x) + 4(8). Now multiply 9 by x, then multiply 4 and 8, which is 32. Now add 32 and whatever 9 times x is. Hope this helps!
A stone is dropped from a 196-foot platform. Use the formula h=−16t2+v0t+196 to determine how many seconds it will take for the stone to hit the ground. (Since the stone is dropped, v0=0.) Round your answer to the nearest tenth.
Answers
The stone will hit the ground after 3.5 seconds.
Given information:
A stone is dropped from a 196-foot platform.
The height of the stone after t seconds is represented by [tex]h=-16t^2+v_0t+196[/tex]
As the stone hits the ground, the height will become zero and the initial velocity [tex]v_0[/tex] is equal to zero as it is dropped.
So, the time after which the stone will hit the ground will be calculated as,
[tex]h=-16t^2+v_0t+196\\0=-16t^2+0t+196\\16t^2=196\\t^2=12.25\\t=3.5[/tex]
Therefore, the stone will hit the ground after 3.5 seconds.
For more details, refer to the link:
https://brainly.com/question/13418564
3 2/6+8 2/9-1 1/2 ?????????
Answers
Answer:
10 1/18
Step-by-step explanation:
3 2/6 + 8 2/9 - 1 1/2 = ?
First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.
3 6/18 + 8 4/18 - 1 9/18 = ?
Now, we solve.
3 6/18 + 8 4/18 - 1 9/18 = 10 1/18
A shirt is on sale for 20% off its original price. If the shirt cost $40, how much will the shirt cost after the discount?
$8
$20
Answers
Liam has learned 31 out of the 50 words on the list for a
spelling bee. What decimal is equivalent to the fraction
of words he has learned?
Answers
Answer:
0.62
Step-by-step explanation:
31/50 =62/100 or 0.62
Step-by-step explanation:
Multiply both the numerator and denominator by 2 to get the denominator to 100 and lastly convert it into a decimal.
[tex] \frac{31 \times 2}{50 \times 2} = \frac{62}{100} = 0.62[/tex]
Jericho takes 3 test in one month the number of correct answers and the total number of questions on each test are shown in the table list the test in order from the least percent of questions correct to the greatest percent of question
Test Correct answers Total questions
Science 36 40
History 23 25
Math 44 50
Answers
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95% confident that his estimate is within seven percentage points of the true population percentage? Complete parts (a) through (c) below.
a) Assume that nothing is known about the percentage of adults who have heard of the brand,
n= ____________ (Round up to the nearest integer.)
b) Assume that a recent survey suggests that about 81% of adults have heard of the brand.
n= ____________ (Round up to the nearest integer.) Please show work for this one because they change the percentage a lot, so I may have to work this part out myself. Thank you
c) Given that the required sample size is relatively small, cculd he simply survey the adults at the nearest college?
a. No, a sample of students at the nearest college is a cluster sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults.
b. Yes, a sample of students at the nearest college is a simple random sample, so the resuls should be representative of the population of adults.
c. No, a sample of students at the nearest college is a stratified sample, not a simple random sample, so it is very possible that the results would not be representaive of the population of adults.
d. No, a sample of students at the nearest college is a convenience sample, not a simple randmom sample. so it is very possible that the results would not be representative of the population of adults.
Answers
Answer:
Part A; n= 196
Part B: n = 120
Part C:
d. No, a sample of students at the nearest college is a convenience sample, not a simple random sample. so it is very possible that the results would not be representative of the population of adults.
Step-by-step explanation:
Part A;
The sample size n can be calculated by using the formula
p^ ± z∝/2* √pq/n
this implies that
e= z∝/2* √pq/n
where e= ║p-p^║= 0.07
p^= 0.5
q^= 0.5
Putting the values
e= z∝/2* √pq/n
0.07= ± 1.96 √0.5*0.5/n
Squaring both sides
0.0049 = 3.8146*0.25/n
n= 196
Part B:
Given p^= 0.81 and q^= 1-p^= 1-0.81= 0.19
e= 0.07
Using the formula
e= z∝/2* √pq/n
Putting the values
0.07= ± 1.96 √0.81*0.19/n
Squaring both sides
0.0049 = 3.8146*0.1539/n
n= 119.809= 120
Part C:
The sample selected is not a random sample because all the adults who have heard about the brand do not have equal chances of being chosen.
It is convenience sample that is it is chosen at ease from a nearby college.
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use
Answers
Answer:
One sample t test
Step-by-step explanation:
A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :
Test statistic = (xbar - μ) ÷ (σ/sqrt(n))
Where, xbar = sample mean ;
μ = population mean
σ = population standard deviation
n = sample size
Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1500 bacteria selected
from this population reached the size of 1805 bacteria in four hours. Find the hourly growth rate parameter.
Note: This is a continuous exponential growth model.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
00
E
Answers
Answer:
The hourly growth rate parameter is of 4.74%
Step-by-step explanation:
Continuous growth model:
The continuous growth model for a population after t hours is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.
A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.
This means that [tex]P(0) = 1500, P(t) = 1805, t = 4[/tex]
Find the hourly growth rate parameter.
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]1805 = 1500(1+r)^4[/tex]
[tex](1+r)^4 = \frac{1805}{1500}[/tex]
[tex]\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}[/tex]
[tex]1 + r = (\frac{1805}{1500})^{\frac{1}{4}}[/tex]
[tex]1 + r = 1.0474[/tex]
[tex]r = 0.0474[/tex]
0.0474*100% = 4.74%
The hourly growth rate parameter is of 4.74%
help please thank you
Answers
Answer:
i think its 8r^4
hope this helps
Step-by-step explanation:
PLEASE HELP!!! Needed ASAP!
Answers
1. If the 3rd term of a geometric sequence is 1,000 and the 2nd term is 100, what is
the 1st term?
Answers
Answer: 10
Step-by-step explanation: If you do the 3rd term divided by the 2nd term, that gives you 10. So, if the 1st term is 10, you do 10 times 10 which is 100 (2nd term) and 100 times 10 which is 1,000 (3rd term).
The radius of a circle is 10 m. Find the circumference to the nearest tenth.
Answers
Answer:
[tex] \bf \large 60 \: m[/tex]
Step-by-step explanation:
Given that :The radius of a circle is 10 m.to find :Find the circumference to the nearest tenth.formulas used :circumference = 2 × π × rwhere,π = 22/7
r = 10 m
explanation :⟼ c = 2πr
⟼ c = 2 × 22/7 × 10 m
⟼ c = 2 × 3•14 × 10m
⟼ c = 6•28 × 10 m
⟼ c = 62•8 m
Round to the nearest tenth :⟼ c = 62•8 m
⟼ c = 60 m
∴ circle circumference is 60 m.
The first one, second one or third one??!
Answers
Answer:
the second one
Step-by-step explanation:
Answer: Second one
Step-by-step explanation: Because when the plus times the minus it will stay minus.
How many people have larger than a size 10 shoe?
Answers
Answer:
no not me I have a size 7 .how about you
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Answers
9514 1404 393
Answer:
the cut plane is between non-intersecting edges
Step-by-step explanation:
The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.
Someone please explain this andwer
Answers
Answer: 2756 cubic inches
Step-by-step explanation:
Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304
Then the cylinder: pi x 4(sqrd) x 9 = about 452
then add them together
I hope this helps! :)
What is the value of
5
5 units, as a fraction greater than
1
1?
Answers
Is the expression below a perfect square?
Is so then factor:
x^2 - 36
Answers
Answer:
(x-6)(x+6)
Step-by-step explanation:
What is the length,in meters,of VX?
Answers
Answer:
C) [tex]\sqrt{90}[/tex]
Step-by-step explanation:
VY = base and leg
XY = height and leg
VX = hypotenuse (c)
VY:
9 - 6 = 3
Solving for VX(c):
a² + b² = c²
3² + 9² = c²
9 + 81 = c²
c² = 90
c = [tex]\sqrt{90}[/tex]
Answer:The answer would be C 90
Step-by-step explanation:
Tyrell bought 4 liters of fruit punch for a party
Answers
Uhh, you didn't provide the actual question. All you said was "Tyrell bought 4 liters of fruit punch for a party".
Four groups of some amount equals 52 in a algebraic equation
Answers
Answer:
where's the full question
Step-by-step explanation: