Answer:
C
Step-by-step explanation:
the equation of the line is always in the form y = mx + c where 'm' (the coefficient/number before x) is the gradient/slope of the line.
Here, the coefficient is 4/5 so the gradient /slope will be 4/5.
A motorcycle travels 1076 meters in 12 minutes. What was the average speed of the motorcycle?
Answer:
89.6 meters per minute
Step-by-step explanation:
The double box-and-whisker plot compares
the battery life (in hours) of two brands of cell phones.
a. What is the range of the upper 75% of each brand?
b. Which battery has a longer battery life? Explain.
a.To find the range of the upper 75% of each brand, you need to look at the values between the median (Q2, the 50th percentile) and the maximum value (Q4, the 100th percentile) on the box-and-whisker plot.
a. The range of the upper 75% of each brand can be calculated as follows:
- For Brand A: Q3 = 30 hours, Q1 = 24 hours
Range = Q3 - Q1 = 30 - 24 = 6 hours
- For Brand B: Q3 = 34 hours, Q1 = 28 hours
Range = Q3 - Q1 = 34 - 28 = 6 hours
Therefore, the range of the upper 75% of each brand is 6 hours.
b. The medians for each brand are:
- For Brand A: 28 hours
- For Brand B: 32 hours
Since the median for Brand B is higher than that of Brand A, it means that Brand B has a longer battery life than Brand A. Therefore, the answer is Brand B.
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An acute angles measure is:
Answer:
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Raina has 3 buckets.
She pours a total of 30 liters of water into these buckets.
If every bucket gets the same amount, what is the volume of water in each bucket?
Answer:
30/3=10
so every bucket gets 10 liters
Step-by-step explanation:
A computer store buys a computer system at a cost of 465. 60$. The selling price was first at 776$, but then the store advertised a 30% markdown on the system. Answer parts a and b
The discount amount was $232.80, and the new selling price of the computer system after the discount was applied was $543.20.
First, we need to calculate the amount of the discount. We can do this by multiplying the original price of the computer system by the percentage discount:
Discount = 30% x $776
Discount = 0.30 x $776
Discount = $232.80
So, the discount offered by the store is $232.80.
Next, we need to calculate the new selling price of the computer system after the discount has been applied. To do this, we need to subtract the discount amount from the original price:
New Selling Price = Original Price - Discount
New Selling Price = $776 - $232.80
New Selling Price = $543.20
Therefore, the new selling price of the computer system after the discount is $543.20.
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Complete Question:
A computer store buys a computer system at a cost of $465.60. The selling price was first at $776, but then the store advertised a 30% markdown on the system.
A) Find the new selling price. Round to the nearest cent if necessary.
find all possible values of the expression 1/x if 7< x< 13
Answer:
1/13<x<1/7
Step-by-step explanation:
1/7, 1/13
1/7>1/13
1/13<x<1/7
help with practice problem
Answer:
-5<x<-3
Step-by-step explanation:
Hope this helps! ;-)
A triangular prism is 8 yards long. It has a triangular face with a base of 12 yards. The volume of the prism is 720 cubic yards. What is the height of its triangular face
The height of the triangular face is 15 yards.
To find the height of the triangular face, we will use the formula for the volume of a triangular prism:
Volume = (1/2) * Base * Height * Length.
We are given the following values:
- Volume (V) = 720 cubic yards
- Length (L) = 8 yards
- Base (B) = 12 yards
We need to find the height of the triangular face (H).
Let's plug in the given values into the formula and solve for H:
720 = (1/2) * 12 * H * 8
First, simplify the equation:
720 = 6 * H * 8
720 = 48 * H
Now, divide both sides by 48 to find the value of H:
H = 720 / 48
H = 15 yards.
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Elizabeth ships a gift through the mail. The gift weighs 8 pounds 11 ounces. She packs the gift in a shipping box with bubble wrap. The package weighs 12 pounds 4 ounces. How much does the shipping box and bubble wrap weigh?
Answer:
3lbs 9 ounces
Step-by-step explanation:
16 ounces in a pound
9514 1404 393
Answer:
3 lb 9 oz
Step-by-step explanation:
Sometimes, addition is easier than subtraction when it comes to finding the difference.
There are 16 ounces in a pound.
8 lb 11 oz + 5 oz = 9 lb
9 lb + 3 lb 4 oz = 12 lb 4 oz
To get from 8 lb 11 oz to 12 lb 4 oz, we have added ...
5 oz + 3 lb 4 oz
= 3 lb 9 oz . . . . weight of packing materials
__
Or, you can do the subtraction in the usual way.
total weight = gift weight + packing weight
packing weight = total weight - gift weight
= (12 lb 4 oz) - (8 lb 11 oz)
= (12 lb -8 lb) + (4 oz -11 oz)
= 4 lb - 7 oz
packing weight = 3 lb 9 oz
PLS HELP!!!
1. Write an inequality to represent the situation below.
2. Define your variable in words
3. Solve the inequality.
4. Describe what the solution means in the context of the problem.
Desiree was planning on going to the local amusement park with friends. She had saved $35 to go. She planned to spend $15 on food and the rest on tickets for rides. Each ticket to ride costs $1.75.
Answer: Answer in detail below
Step-by-step explanation:
1. Write an inequality to represent the situation below:
Let "x" be the number of tickets Desiree can buy.
The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:
Total amount - Amount spent on food = Amount spent on tickets
Therefore, the inequality to represent this situation is:
1.75x ≤ 35 - 15
2. Define your variable in words:
"x" represents the number of tickets Desiree can buy.
3. Solve the inequality:
1.75x ≤ 20
x ≤ 20 ÷ 1.75
x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)
4. Describe what the solution means in the context of the problem:
The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.
1. What is 50% of $736?
Answer:
$368
Step-by-step explanation:
What is 50% of $736?
50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)
We Take
736 x \(\frac{1}{2}\) = $368
So, 50% of $736 is $368.
Whitch expression is equivocal to this polynomial
The expression that is equivalent to the given expression, (8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y), is 8x²y² - 15x²y + xy² + 5y
Determining equivalent expressionsFrom the question, we are to determine the expression that is equivalent to the given expression.
The given expression is
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
To determine the expression that is equivalent to the given expression, we will simplify the given expression.
Simplifying the expression
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
Clear the parentheses by applying the distributive property
8x²y² - 9x²y + 9y - 6x²y + xy² - 4y
Collect like terms
8x²y² - 9x²y - 6x²y + xy² - 4y + 9y
Simplify
8x²y² - 15x²y + xy² + 5y
Hence, the equivalent expression is 8x²y² - 15x²y + xy² + 5y
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What was the loss in value during the first year
To find the loss values we have to find the equation of the line .
The slope is given by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)We are going to take the points:
(2 , 6) and (5 , 3)
Notice that both points are part of the graph.
Replacing:
\(m=\frac{3-6}{5-2}=\frac{-3}{3}=-1\)The slope is equal to -1.
Now, the equation of the line in the slope-intercep form is given by:
\(y=mx+b\)Replacing the point (2 , 6) and the slope m=-1 to find the y-intersect (b):
\(\begin{gathered} 6=-1*2+b \\ b=6+2=8 \end{gathered}\)The equation of the line is:
\(y=-x+8\)Finally, we are going to find the loss during the first year, it means x=1. Substituing:
\(y=-1+8=7\)Answer: The loss during the first year was 7 thousands of dollars.
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x^2+ 3x-5 =0
Answer:
X would be -5/2 and 1
Step-by-step explanation:
The quadratic formula is (-b±√(b^2-4ac))/2a. By substituting the values in, we get the expression (-3±√(3^2-4(2)(-5))/2(2). By Simplifying, we get (-3±√(9+40))/4. More simplification: (-3±√(49))/4. Even more simplification: (-3±7)/4. The expression now splits into two parts, (-3-7)/4, and (-3+7)/4. The first expression becomes -10/4, which simplified is -5/2. The second expression becomes 4/4, which simplifies to 1. Therefore, your answers are x=1, -5/2.
Hope this helps!
simplify 3q+3q+4q²
Explanation and working out please
Answer:
6q+4q²
Step-by-step explanation:
3q+3q+4q²
All you have to do is combine like terms(CLT)
3q+3q=6q
You can't combine 6q and 4q².
The end result is 6q+4q².
-hope it helps
Answer:
2q(2q+3)
Step-by-step explanation:
What is the value of x? enter your answer in the box. x = cm
The value of x in the given equation will be 2/5
From the data,
We have to determine the value of x.
The given equation is: 18x-16=-12x-4
For determining the value of x, we will first shift the like terms on one side of the equation.
So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.
So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,
We will get it as:
18x+12x = -4+16
30x=12
Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.
So, the value of x will be = 12/30 = 2/5
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The correct question may be:
What is the value of x
18x-16=-12x-4
Enter your answer in the box.
a six-sided dice is rolled twice. what is the probability that neither roll shows a 2 given that they sum to 7?
The probability that neither roll shows that given sum to 7 is 5/6
Let's understand what is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
we have to find what is the probability that neither roll shows that given sum to 7.
if we rolled twice then we will get 6 ways such that sum will be 7.
(1 , 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1)
So we have to remove these ways.
P(Not getting sum as 7) = 1- P(getting sum as 7)
P(Not getting sum as 7) = 1- 6/36
P(Not getting sum as 7) = 1- 1/6
P(Not getting sum as 7) = 5/6
The probability that neither roll shows that given sum to 7 is 5/6
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Store E offers a book that Karen wants for 20% off its regular price of $15.00. Store F sells the same book for $15, before a $3.00 mail-in rebate. Where should Karen purchase the book? Explain your reasoning.
Answer:
Karen should purchase her book from store E because 20% off would be $3 off making it $12 therfore store F would come to a total cost off $18 making it more expensive, meaning that Karen should buy her book from store E
Step-by-step explanation:
:) hope this helpss!
which integer has greatest value -16 or -14
Answer: -14
Step-by-step explanation:
-14 has the greatest value because, as the negative number goes higher the positive goes lower and -14 on a number line would be closest to zero.
f(n) = 3n+3 ;Find (1)
Answer:
plug in 1
answer is 6
Step-by-step explanation:
Answer:
f(1)=6
Step-by-step explanation:
for these kind of problems f(n)=3n+3 turns into f(1)=3(1)+3so then you just simplify from there(I'm not gonna simplify because this is just basic addition at this point)
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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WILL REWARD BRAINLIEST AND 100 POINTS AFTER ANSWER I WILL MAKE NEW QUESTION IF U HELP PLEASE HELP Complete the arithmetic sequence 3,5,7,9 if n is an integer which of these functions generate the sequence choose the answers that apply IT SHOWS MORE THAN 1 OPTION PLEASE HELP WILL REWARD U WITH BRAINIEST IF U HELP
Answer:
2n+3 for ≥0
Step-by-step explanation:
the formula that generate the sequence is
2n+3
the difference between the arithmetic sequence is 2
2(0)+3
0+3=3
2(1)+3
2+3=5
2(2)+3
4+3=7
2(3)+3
6+3=9
n≥0 means n can start from 0 till infinity
if n is substitute into the formula, it will give the arithmetic sequence which means formula generated is correct
Hope this helps!
Need help ASAP!!!!!!!!!
3.\(\root 3 \of{27} = 3.\)
what's the square root of the area of a square with side 13?
Area :-
\(\\ \rm\rightarrowtail side^2\)
\(\\ \rm\rightarrowtail 13^2\)
\(\\ \rm\rightarrowtail 169\)
Square root:-
√169=13Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 28+65H \leq 25028+65H≤25028, plus, 65, H, is less than or equal to, 250 (Choice B) B 28+65H \geq 25028+65H≥25028, plus, 65, H, is greater than or equal to, 250 (Choice C) C 65+28H \leq 25065+28H≤25065, plus, 28, H, is less than or equal to, 250 (Choice D, Checked) D 65+28H \geq 25065+28H≥25065, plus, 28, H, is greater than or equal to, 250 2) What is the largest whole number of hours that Anand can afford? hours
Answer: (1) C. 65 + 28H < 250
(2) 6
Step-by-step explanation:
Here is the correct question:
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:
= 65 + 28H < 250
That means option C is the correct answer.
Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.
2)'The largest whole number of hours that Anand can afford goes thus:
65 + 28H < 250
28H < 250 - 65
28H < 185
H < 185/28
H < 6.6
Therefore, the largest whole number of hours that Anand can afford is 6.
Answer: The Answer is 65+28H < 250 and the largest amount of hours is 6
Step-by-step explanation:
Name the part of the given expression that is asked. What is "20" in the expression: 7x - 15y + 20
Answer:
y value
Step-by-step explanation:
Simplify (4^-2)^5 Pls help
Answer:
4^-10
Step-by-step explanation:
(4^-2)^5
4^-2 x 5
= 4^-10
hope this helped have fun doing school haha
Answer:
\(\frac{1}{32768}\)
Step-by-step explanation:
\((4^{-2})^{5}\)
\((\frac{1}{4^{2} }) ^{5}\)
\((\frac{1}{8})^{5}\)
\(\frac{1}{32768}\)
True or false: Under appropriate circumstances, many discrete random variables can be described by the normal distribution.
True. Under appropriate circumstances, many discrete random variables can be described by the normal distribution.
Under appropriate circumstances, many discrete random variables can be approximated by the normal distribution using the Central Limit Theorem. This theorem states that the sum of a large number of independent and identically distributed random variables, regardless of their individual distributions, tends to follow a normal distribution.
This is often the case in practice, making the normal distribution a useful tool for modeling and analyzing data. However, it's important to note that not all discrete random variables can be accurately described by the normal distribution, and it's important to assess the appropriateness of the normal approximation on a case-by-case basis.
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an exam has 12 problems. how many ways can (integer) points be assigned to the problems if the total of the poitns is 100 and each problem is worth at least five points
The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.
To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.
Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.
Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.
The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).
Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).
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At a company meeting, there were 65 people in attendance. 80% of them were manager. How many manager were in the meeting?
The number of managers in attendance at the company meeting can be calculated as follows: 65 people * 80% = 52 managers. So, there were 52 managers in attendance at the company meeting.
At a company meeting, there were 65 people in attendance and 80% of them were managers. To find the number of managers, we can simply multiply the total number of attendees by the percentage that were managers. 65 people * 80% = 52 managers.
This means that 52 of the 65 people in attendance were managers. The calculation shows that the majority of the people in attendance at the company meeting were managers, with 80% of the attendees being managers and 20% being non-managers.
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