Jane buys candy that costs $6 per pound. She will spend more than $30 on candy. What are the possible numbers of pounds she will buy?
Answers
Answer:
5 pounds will be your answer
Step-by-step explanation:
Related Questions
Consider the function f(x) = 3x − 2. Select True or False for each statement. The y-intercept is 2. A True B False The x-intercept is 2 3 . A True B False The slope is 3. A True B False
Answers
Answer: A false, B true, C true
Step-by-step explanation:
A) intercept with y axis
That means x=0
y= 3*0-2
y= -2 So A is false
B) intercept with x axis
That means y=0
0= 3x-2
2=3x
2/3= x B is true
C) The form of linear function is
f(x)= mx +n, where m is the slope
In this case m= 3 so C is true
1. The y - intercept is 2. ⇒ False
2. The x - intercept is 2/3 ⇒ True.
3. The slope is 3. ⇒ True.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The function is,
f (x) = 3x - 2
Now,
1. To find the y - intercept we substitute x = 0 in the function.
Hence, The y - intercept is,
f (x) = 0 - 2
f (x) = - 2
Hence, The statement y - intercept is 2 is False.
2. To find the x - intercept we substitute f(x) = 0 in the function.
Hence, The y - intercept is,
f (x) = 3x - 2
0 = 3x - 2
3x = 2
x = 2/3.
Hence, The statement x - intercept is 2/3 is True.
3. We know that;
The slope intercept form of the line is,
y = mx + b
Where, m is slope of the line.
And, b is y - intercept.
So, By comparing with the function f (x) = 3x - 2 , we get;
Slope (m) = 3
Hence, The slope is 3 is True.
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PLEASE HELPPP
A candy bar box isin the shape o a triangular prism. The volume of the box is 3,240 cubic centimeters.
Part A: what is the height of the base? show your work.
Part B: what is the approximate amount of cardboard used to make the candy box? explain how you got your answer.
Answers
To find the dimensions of the candy bar box, we need to determine the base area and the height of the triangular prism.
To proceed further, we need additional information. The problem statement does not provide specific details about the shape of the triangular base (e.g., isosceles, equilateral) or the relationship between the dimensions of the base and height. Without this information, we cannot determine the exact dimensions of the candy bar box.
If you can provide more specific details or measurements related to the triangular base (e.g., side lengths, angles), I can help you calculate the dimensions of the candy bar box.
Apologies for the confusion, but the term "height of the base" is not a standard geometric concept. The triangular prism has a base that is a triangle, and it has a height that is perpendicular to the base. However, the term "height of the base" is not clear in this context.
To clarify, could you provide more information about the shape of the base of the triangular prism? For example, are the sides of the base given, or any other measurements or angles? With more specific information, I can assist you further in determining the dimensions of the candy bar box.
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please help ASAP ...
Answers
Answer:
52%
Step-by-step explanation:
I am assuming it asking what is the chance a boy is picked.
13+12 = 25 total kids
100/25 = 4% chance for each kid to be picked
13 boys x 4 % = 52% chance for a boy to be picked.
AABC is isosceles.
AB = 3x - 4 and BC = 5x - 10.
AB = [?]
Answers
If AB = BC then set up the equation 3x - 4 = 5x - 10
Subtract 3x.
-4 = 2x - 10
Add 10.
6 = 2x
Divide by 2.
3 = x
AB is 3x - 4 so
3(3) - 4
9 - 4
5.
AB = 5
If AB is not equal to BC then this is not solvable.
But if they are I am sure AB = 5.
Hope this helps
A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
Answers
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
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which choice is equivalent to the expression below 2^7 times 19
Answers
The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432
The class average on a statistics exam is 80 with a standard deviation of 4. Which of these best represents the percentage of students who scored between 68 and 82 on the exam?
Answers
Answer:
Subtract than divide
Step-by-step explanation:
A prism has a volume of 405 cubic inches.
4.5 in.
15 in.
Which is the correct substitution for finding the height of the prism?
Answers
Answer:
405 = 15 times 4.5 times h
Step-by-step explanation:
Complete question
A prism has a volume of 405 cubic inches.
A prism has a length of 15 inches, height of h, and width of 4.5 inches
Which is the correct substitution for finding the height of the prism?
A V = l w h. 405 = 15 + 4.5 + h.
B V = l w h = 15 times 4.5 times 405
C V = l w h = 15 times 4.5 times 15
D V = l w h. 405 = 15 times 4.5 times h
Find the diagram attached
Volume of the prism is expressed as;
V = lwh
l is the length
w is the width
h is the height
Given the following
l = 15inches
w = 4.5inches
Required
Expression to calculate the height g
Substitute the given values into the formula
V = lwh
405 = 15 * 4.5 * h
Hence the required option is 405 = 15 times 4.5 times h
Answer:
405 = 15 times 4.5 times h
Step-by-step explanation:
Give it to the other person.
. Assume that the annual percentage rate increases by 5%, 10%, 20%, 40%, and 60%. [30 marks] a. Calculate the approximate doubling time (Dappx) b. Calculate the exact doubling time (Dexact) c. Calculate the percentage error in calculating the doubling time for each case.
Answers
a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.
Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)
The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%
≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%
≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%
≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%
≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.
Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.
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A die with sides numbered 1 to 6 is rolled. Find the probability of rolling each outcome.
P(5)=
P(1 or 2)=
P(odd number)=
P(not 6)=
P(even number)=
P(1,2,3, or 4)=
PLEASE HELP IM LIKE IN A RUSHHH TYSM IF U ANSWER QUICKLY
Answers
Step-by-step explanation:
Probability is the ratio of number of success/ total outcomes
So let calculate each probability
We have six total outcomes here in each scenario.
P(5)=1/6
P(1 or 2)=2/6=1/3
P(odd number )=3/6=1/2
P(not 6)= 5/6
Also
P(not 6)=1-P(6)=5/6
P(even number)=3/6=1/2
P(1,2,3,4)=4/6=2/3
P(5) = 1/6 (since there is only one side with the number 5, and there are six equally likely outcomes)
P(1 or 2) = P(1) + P(2) = 1/6 + 1/6 = 2/6 = 1/3 (since there are two sides with the numbers 1 and 2)
P(odd number) = P(1) + P(3) + P(5) = 1/6 + 1/6 + 1/6 = 3/6 = 1/2 (since there are three odd numbers: 1, 3, and 5)
P(not 6) = 1 - P(6) = 1 - 1/6 = 5/6 (since there are five sides that are not 6)
P(even number) = 1 - P(odd number) = 1 - 1/2 = 1/2 (since there are three odd numbers and three even numbers)
P(1, 2, 3, or 4) = P(1) + P(2) + P(3) + P(4) = 1/6 + 1/6 + 1/6 + 1/6 = 4/6 = 2/3 (since there are four sides with the numbers 1, 2, 3, and 4)
I hope this helps! Let me know if you have any further questions.
Question
Point C(6, −4) is translated using the rule (x−5, y+9).
What is the y-coordinate of C′?
Enter your answer in the box.
Answers
The width of a rectangle is the length minus 6 units. The area of the rectangle is 27 units. What is the length, in units, of the rectangle?
Answers
Answer:
9 units
Step-by-step explanation:
Area of rectangle= length ×width
Let the length of the rectangle be x units.
Width of rectangle= (x -6) units
Area of rectangle= 27 units²
x(x -6)= 27
x(x) -x(6)= 27 (expand bracket)
x² -6x -27= 0
(x -9)(x +3)= 0 (factorise)
x -9= 0 or x +3= 0
x= 9 or x= -3 (reject)
∴ The length of the rectangle is 9 units.
seven people (a, b, c, d, e, f, g) are lining up to enter a museum. 1. how many ways are there to line up the seven people if b is somewhere before g, although not necessarily immediately before? 2. how many ways are there to line up the seven people if e, f and g are next to each other? 3. how many ways are there to line up the seven people if c must be next to e but d and f can not be next to each other?
Answers
The total number of ways to line up the seven people if c must be next to e but d and f cannot be next to each other is 5760 ways.
How many ways are there to line up the seven people if b is somewhere before g, although not necessarily immediately before?In this problem, we are supposed to find out the total number of ways in which 7 people (a, b, c, d, e, f, g) can be lined up to enter the museum in a way that b is somewhere before g. However, b doesn't need to be immediately before g.
To solve this question, we can consider b and g as a single unit. That means we need to line up six units (a, bcdefg). Now, we can arrange these six units in 6! ways.However, in the original problem, b and g can also be arranged in 2! ways. So, the total number of ways to line up seven people if b is somewhere before g would be 6! × 2! = 1440 ways.2. How many ways are there to line up the seven people if e, f and g are next to each other?In this problem, we are supposed to find out the total number of ways in which 7 people (a, b, c, d, e, f, g) can be lined up to enter the museum in a way that e, f, and g are next to each other. We can consider e, f, and g as a single unit. That means we need to line up five units (a, b, c, d, efg).
Now, we can arrange these five units in 5! ways. However, in the original problem, e, f, and g can also be arranged in 3! ways. So, the total number of ways to line up seven people if e, f, and g are next to each other would be 5! × 3! = 720 × 6 = 4320 ways.3.
How many ways are there to line up the seven people if c must be next to e but d and f cannot be next to each other?In this problem, we are supposed to find out the total number of ways in which 7 people (a, b, c, d, e, f, g) can be lined up to enter the museum in a way that c must be next to e but d and f cannot be next to each other. We can break this problem into two cases:Case 1: When c is to the immediate right of eIn this case, we can consider (ce) as a single unit. Now, we need to line up five units (a, b, d, f, (ce), g).
We can arrange these five units in 5! ways. However, in the original problem, (ce) can also be arranged in 2! ways. So, the total number of ways to line up seven people if c is immediately to the right of e would be 5! × 2! = 240.Case 2: When c is to the immediate left of eIn this case, we can consider (ec) as a single unit. Now, we need to line up five units (a, b, d, f, (ec), g).
We can arrange these five units in 5! ways. However, in the original problem, (ec) can also be arranged in 2! ways. So, the total number of ways to line up seven people if c is immediately to the left of e would be 5! × 2! = 240.Total number of ways in which c is next to e = 240 + 240 = 480 ways.Now, let's consider the total number of ways in which d and f can be lined up.
We can place d and f in the two corners of a 5-unit permutation (a, b, c, e, g) in 2! ways. Then, we can arrange the remaining three units (b, c, e) in 3! ways. So, the total number of ways in which d and f cannot be next to each other would be 2! × 3! = 12 ways.Total number of ways in which c is next to e and d and f are not next to each other = 480 × 12 = 5760 ways.Therefore, the total number of ways to line up the seven people if c must be next to e but d and f cannot be next to each other is 5760 ways.
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PLEASE HELP IM BEGGING YOU !!!!!!! Which value would solve for k for the equation y=kk in the graph below?
a: 1/6
b: 6
c: 1/3
d: 3
Answers
Answer:
a: 1/6
Step-by-step explanation:
4p5q3xp2q-4 simplify
Answers
The simplified form of the given expression is 4p⁷/q.
The given expression is 4p⁵q³×p²q⁻⁴.
Using the exponential law, aⁿ×aˣ=aⁿ⁺ˣ, we get
4(p⁵×p²)(q⁻⁴×q³)
= 4p⁵⁺²q⁻⁴⁺³
= 4p⁷q⁻¹
= 4p⁷/q
Therefore, the simplified form of the given expression is 4p⁷/q.
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Algebra
Please help me
Answers
Answer:
Step-by-step explanation:
3) slope is rise over run.. look at the graph and count
from the dot rise=4 run=2 4/2 = 2 slope of 3) is 2
4) rise = -3 run =1 slope of 4) is -3
5) rise =1 run =2 slope of 5) is 1/2
6) rise = ∞ run = 0 slope of 6) is undefined
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
18.3
Step-by-step explanation:
a^2 + b^2 = c^2
We can call the unknown side x. The hypotenuse (25) is c.
Knowing this, you know that x^2 + 17^2 = 25^2.
Now simpify!
x^2 + 289 = 625
Subtract 289 from both sides:
x^2 = 338
Now take the square root of 338 which is 18.3 rounded to the nearest tenth.
Hope this helped! :)
Libby earns $10 each hour for babysitting. Let m = the money she earns, and t = the time in hours she is babysitting. What equation represents this proportional relationship?
Answers
Answer:
$10t=m
Step-by-step explanation:
If for each hour is $10.
She would earn the number of hours times $10.
Example: She did babysitting for 4 hours this weekend. The equation is $10(4)=m or $10 x 4 = m. m=40
The table and Circle Chart display proportions of the expenditure of a local government. Which statement describes how the Circle Chart misrepresents the data?
A. The sum of the percentages in the sections is not 100.
B. The size of each section does not correspond to the percent expenditure for each category given in the table.
C. One of the categories in the table is not represented in the circle chart.
D. The size of the section representing highways is greater than the size of the section representing education.
Answers
This exercise refers to the identification of statistics that is misleading or erroneous. In this case, a circle graph and a table are involved.
What is a circle graph?A circle graph is simply a pie chart. It is used to depict information in percentages. An example is attached.
Although charts and tables are very useful descriptive and or illustrative statistics, they can be misleading.
This can happen when:
The sum of the percentages in the sections is not 100;The size of each section does not correspond to the percent expenditure for each category given in the table; andOne of the categories in the table is not represented in the circle chart.This answer is general in nature due to the limited information provided.
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Answer:
C
Step-by-step explanation:
write a number with the numbers 1, 2, 3 and 4.
write the closest one to 2 000.
can someone help me, I don’t understand
Answers
Answer:
2,134
Step-by-step explanation:
Answer:
4,321
Step-by-step explanation:
The problem is saying write a large number with 1 , 2 , 3 , and 4 that will be closer to 2000.
Like, you arrange the numbers 1, 2, 3, and 4 to make the largest number possible that will be close to 2000.
Which is closer to 2,000, A, B, C, or D?
A) 1234
B) 2341
C) 3412
D) 4321
D, right? Just line up the numbers to create number that is close to 2000
A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm
Answers
Answer:
15.6km
Step-by-step explanation:
Given the map scale 1:200000
1cm on the map represents 200000 cm on ground or in actual distance
Hence, if distance from Belfast to Larne is 7.8vm on map ;
Actual distance will be :
7.8 * 200000 = 1560000 cm
Converting to km :
Recall :
1000 m = 1km
100 cm = 1 m
Hence,
100000 cm = 1km
Therefore, (1560000 / 100000) km
= 15.6km
Hence, distance between Belfast and Larne is 15.6km
Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?
Answers
Answer:
Joey has $257 dollars after 6 months.
Step-by-step explanation:
6*$15.50 = $93
$350 - $93 = $257
Have a nice day! :-)
Answer:
he has 257 in his bank account
Step-by-step explanation:
\(15.5 \times 6 = 93\)
\(350 - 93 = 257\)
a manufacturer of batteries would like to insure that their defective rate is less than 5%. in order to be sure that their batteries meet this quality control standard, the supervisor randomly samples 100 batteries and finds that 4 are defective. is there significant statistical evidence that the manufacturer is meeting their quality control standards?? find the p-value rounded to 4 decimal places.
Answers
Since the p-value (0.1021) is greater than the significance level (0.05), we fail to reject the null hypothesis.
What is null hypothesis?The null hypothesis is a type of hypothesis that describes the population parameter and is used to examine the validity of experimental results.
To test whether the manufacturer's defective rate is less than 5%, we can use a one-tailed hypothesis test with a significance level of 0.05.
Let p be the true proportion of defective batteries in the population. The null hypothesis is that p >= 0.05, and the alternative hypothesis is that p < 0.05.
We can use the normal approximation to the binomial distribution, since n = 100 and p₀ = 0.05 > 10. The test statistic is:
z = (x - np₀) / √(np₀(1-p₀))
where x is the number of defective batteries in the sample, n is the sample size, and p₀ is the hypothesized proportion under the null hypothesis.
Plugging in the values, we get:
z = (4 - 100*0.05) / √(100*0.05*0.95) = -1.2649
The p-value for this test is the probability of getting a test statistic as extreme as -1.2649 or less, assuming the null hypothesis is true. From a standard normal distribution table, the probability of getting a z-score of -1.2649 or less is 0.1021.
Since the p-value (0.1021) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that the manufacturer is not meeting their quality control standards.
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do any questions that you can from any page!!!! I will still give you the points! Show your work, please!!!! literally do whatever you can!!!!!
Answers
Answer:
I think that the awnser to 59 is 24x⁴-15x²+27x
Need help ASAP 50 points ?!!!
Answers
Answer:
f(x) = 8 + x
f(5) = 8 + 5
[What I just did there: I replaced x with 5]
f(5) = 13!
Answer: sorry took look long F(5)= 13
Step-by-step explanation:
Solve equation Y=9x-70 and y=2x-32
Answers
Step-by-step explanation:
y = 9x - 70 ...1
y = 2x - 32 ...2
...1 - ...2
0 = 7x -38 ...3
7x - 38 = 0
7x = 38
x = 38/7
Find the value of z.
Answers
2z = 15
z = 7.5
what is 14/20 equivalent to
Answers
The expression 14/20 is equivalent to 7/10
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Given the expression:
14/20
The common term between the numerator and denominator is 2. Hence:
= 7/10
The expression 14/20 is equivalent to 7/10
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What is the simplified form of (9c^-9)^-3? A. 9c^27 B. 1/729c^27
C. 729c^27
D. 9/ c^27
Answers
Answer:
1 /729 c ^27
Step-by-step explanation:
Answer:
good well done
Step-by-step explanation:
g
o
o
d
2(x+1)^2 +4(x+1)+7 as a simplified polynomial
Answers
Answer:
2x^2+8x+15
Step-by-step explanation:
\( {2(x + 1)}^{2} + 4(x + 1) + 7\)
\(2({x}^{2} + 2x + 1) + 4x + 4 + 7\)
\(2 {x}^{2} + 4x + 2 + 4x + 13\)
\(2 {x}^{2} + 8x + 15\)