The total sum of money will be $320.
Let the total sum of money be represented by x.
Based on the information given, the equation to solve the question will be:
12 1/2% × x = 40
0.125x = 40
Divide by 0.125
x = 40/0.125.
x = 320
Therefore, the total sum of money will be $320.
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Given the following sets:
A={ 2, 4, 6, 8, 10}
B={ 3, 5, 7, 9}
C={ 2, 3, 5, 7}
N={ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Match the following Unions and intersections to the correct set.
1.
What is A U C?
2.
What is A ∩ B?
3.
What is A ∩ N?
4.
What is B ∩ N?
5.
What is B U C?
{2, 3, 4, 5, 6, 7, 8, 10}
{2, 3, 5, 7, 9}
{ }
{3, 5, 7, 9}
{2, 4, 6, 8, 10}
Help Please..
Arrange from smallest to largest
0.2 , 0.06, 0.602, 0.026, 0.21
Determine the number of solutions the following system of equations will have: 1/3 y - 5 = 2x y = 15 + 6x
6. Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for the cloth if the sales tax was 5 percent? A. $5.79 B. $2.02 C. $6.08 D. $5.82
evaluate the following expressions 7/8 ×5/7 =
HELP FAST!! What is the volume of a right rectangular prism with a base that measures 4 in by 6 in. and a height of 7 in? A) 17 in.3. B) 51 in.3. C) 84 in.3. D) 168 in.3.
Answer:
d
Step-by-step explanation:
THE FIRST ANSWER GETS A BRAINLIEST BUT THE ANSWER HAS TO BE RIGHT ALSO 20 POINTS
Kiah plotted the locations of her home and the city of Huntingdon on the number line shown. Williamsburg is the same distance from Kiah’s home as Huntingdon, but it is in the opposite direction. Which statement best describes how to find the location of Williamsburg on the number line?
A) The opposite of 6.75 is −6.75, so Williamsburg is at −6.75.
B) The sum of 6.75 and 6.75 is 13.5, so Williamsburg is at 13.5.
C) The numbers 6.75 and −6.75 are the same, so Williamsburg is at 6.75.
D) Opposites, such as 6.75 and −6.75, sum to zero, so Williamsburg is at 0.
Answer:
Answer is A plz mark me as branliest like u said
Step-by-step explanation:
What is the height of a triangle that has an area of 60 yd squared and a base with a length of 12 yd
Anyone care to help with this please
A neighbor needs to put up a square fence around her garden to keep the deer out. If the area is 500 square feet, how much fence does she need to buy, rounded to the nearest tenth of a foot? Show your work.
The neighbor needs to buy approximately 89.6 feet of fencing to surround her 500 square feet garden, which is a square. This is calculated by taking the square root of the area to find the length of one side and then multiplying by four to get the perimeter.
To determine how much fence the neighbor needs to buy to surround her square garden, we need to calculate the perimeter of the square. The area of a square is given by the formula Area = side × side or Area = side². Since the area is 500 square feet, we first find the length of one side of the square by taking the square root of the area:
Side = √Area = √500 ft²
The square root of 500 is approximately 22.4 feet. Now, we calculate the perimeter, which is the sum of all four sides of the square:
Perimeter = 4 × side = 4 × 22.4 ft = 89.6 ft
Rounded to the nearest tenth of a foot, the neighbor needs to buy approximately 89.6 feet of fencing to surround her garden.
The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.
The student's question asked for finding the percentage increase in an item's price. This can be calculated by subtracting the initial price from the final price, dividing that difference by the initial price, and then multiplying the result by 100. In this case, the price of the item has increased by 140% from yesterday to today.
Explanation:To find the percentage increase of the price of an item, we subtract the initial price from the final price, then divide that number by the initial price, finally multiply that result by 100 to obtain the percentage. In this case, the initial price of the item was $115, and the final price is $276.
Here's how the calculation works:
Subtract the initial price from the final price: $276 - $115 = $161. Divide the difference by the initial price: $161 / $115 ≈ 1.4. Multiply the result by 100 to get the percentage increase: 1.4 * 100 = 140%.
Therefore, the price of the item has increased by 140% from yesterday to today.
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Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-
The Greatest Common Divisor (GCD) of 100 and 254 can be found using Prime Factorization and the Euclidean Algorithm. Both methods produce a GCD of 2.
Explanation:The student is asking for how to find the Greatest Common Divisor (GCD) of 100 and 254 using two different methods: Prime Factorization and the Euclidean Algorithm.
Prime Factorization: Start by writing down each number's prime factors. The prime factors for 100 are 2, 2, 5, 5 and the prime factors for 254 are 2, 127. The GCD is the product of the smallest power of each common prime number. In this case, the only common prime number is 2, so the GCD by prime factorization is 2.Euclidean Algorithm: This method begins with the larger number (254) and divides it by the smaller one (100). Write down the remainder (54). Then, divide the smaller number (100) by the remainder from the last step (54) to get a new remainder (46). The process is repeated until there is no remainder. The last non-zero remainder serves as the GCD. In this case, the process would continue as follows: 54 divided by 46 equals 1 remainder 8, then 46 divided by 8 equals 5 remainder 6, then 8 divided by 6 equals 1 remainder 2, then 6 divided by 2 equals 3, no remainder. Therefore, the GCD by Euclidean Algorithm is also 2.Learn more about Greatest Common Divisor here:https://brainly.com/question/23270841
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Assume that X has a normal distribution, and find the indicated probability. The mean is μ= 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 16.1.
Answer:0.1587
Step-by-step explanation:
z = (x-μ)/σ
mean, μ= 15.2
standard deviation, σ = 0.9
To find the probability that x is greater than 16.1,
x = 16.1
z = (16.1-15.2)/0.9
= 1
Looking at the normal distribution table, the area covered by 0 to 1
=0.8413
Therefore, the probability that x is greater than 16.1, = 11- probability that x = 16.1
= 1-0.8413
= 0.1587
Can you please help me with this math problem
This question is nasty. It sounds like you should be finding area of the figure you see. I'll do that first, although I don't think it's the right answer. (But it might be).
Area Trapezoid = (b1 + b2) * h / 2
b1 = 8
b2 = 12
h = 5
Area Trapezoid = (8 + 12 ) * 5 / 2
Area Trapezoid = 20 * 5/2
Area = 50 square feet.
The problem is that no lumber yard will cut that for you without charging you. The practical answer is 12 * 5 = 60 square feet is what you will have to buy. Then you cut out the triangles for yourself.
Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2vector PQ
ANSWER
Component form:
[tex]\binom{ - 16}{2} [/tex]
2. Magnitude
[tex]2\sqrt{65} [/tex]
EXPLANATION
Given that P = (-5, 5) and Q = (-13, 6),
Vector PQ
[tex] = \binom{ - 13}{6} - \binom{ - 5}{5} [/tex]
[tex] = \binom{ - 13 + 5}{6 - 5} [/tex]
[tex] = \binom{ - 8}{1} [/tex]
2 vector PQ
[tex] = 2 \binom{ - 8}{1} [/tex]
[tex] = \binom{ - 16}{2} [/tex]
This is the component form.
The magnitude is given by
[tex] = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex] = \sqrt{ {( - 16)}^{2} + {2}^{2} } [/tex]
[tex] = \sqrt{256 + 4} [/tex]
[tex] = \sqrt{260} [/tex]
[tex] = 2\sqrt{65} [/tex]
hey can you please help me posted picture of question
A college cafeteria pays student cashiers $10.20 per hour. Cashiers earn an additional $1.30 per hour for each hour worked over 35 hours per week. A cashier worked 40 hours one week and 38 hours the second week. How much did this cashier earn in this two-week period?
Answer:
$806
Step-by-step explanation:
The regular earning of a cashier = $10.20 per hour
over 35 hours per week he gets = $10.20 + $1.30 per hour
= $11.50 per hour
He worked 40 hours in first week and 38 hours the second week.
His earnings in first week = (35 × 10.20) + (5 × 11.50)
= $357 + $57.5
= $414.50
His earnings in second week = (35 × 10.20) + (3 × 11.50)
= $357 + $34.50
= $391.50
His total earnings in this two weeks = $391.50 + $414.50
= $806
His total earning was $806.
Suppose a weather forecaster says the probability that it will rain on saturday is 2929% and the probability that it will rain on sunday is 4040%. from this information, is it possible to find the probability that it will rain on saturday or sunday (or both)? why or why not?
Which equation best presents the relationship between x and y in the graph?
If angle A is complementary to angle B, and angle B is supplementary to angle C, what is the measurement of angle C if angle A is 21 degree...
how can x2+3x+1=2x2+2x+3 be set up as a system of equations
The given equation can be converted into a system of equations by setting each side of the given equation to equal zero separately. The system of equations will then be x² - x + 2 = 0 and x² + 3x + 1 = 0.
Explanation:The given equation, x²+3x+1=2x²+2x+3, can be set as a system of equations by getting each side of the equation to equal zero. Begin by subtracting the entire left-hand side of the equation from the right-hand side which gives us:
2x² + 2x + 3 - (x² + 3x + 1) = 0
This simplifies to x² - x + 2 = 0. That's your first equation.
Now, take the left-hand side of the original equation and set it equal to zero: x² + 3x + 1 = 0. That's your second equation. So the system of equations from the original equation are:
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Which stem-and-leaf plot represents the data? 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, a stem value of 2, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 8, 8, 8. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, 8, 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15
Options: A
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5A stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Options: B
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, A stem value of 2, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8.Key: 1|5 means 15
Options: C
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5, and a stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Options: D
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Answer:
Options: D
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.Key: 1|5 means 15
Step-by-step explanation:
Given: 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48
To plot a stem and leaf plot, first rearrange the observations in ascending order: 15, 15, 15, 16, 16, 29, 30, 48, 48, 48 , 63
Next, is to get the range of values
Low: 15
High = 63
Next, is to identify the stems
Using the range of 15 to 63, we need stems of 1, 2, 3, 4, 5 and 6
In tabular form, the stems are:
Stems ||
1 ||
2 ||
3 ||
4 ||
5 ||
6 ||
Next, is to fill in the leafs
Stem || Leaf
1 || 5 5 5 6 6
2 || 9
3 || 0
4 || 8 8 8
5 ||
6 || 3
Lastly, we write out our observations
1. The stem Value 1 has leaf values 5,5,5,6,6
2. The stem Value 2 has a leaf value 9
3. The stem Value 3 has a leaf value 0
4. The stem Value 4 has leaf Values 8,8,8
5. The stem Value 5 has no leaf
6. The stem Value 6 has leaf value 3
Comparing the observation with the options, option D represents the stem-and-leaf plot representation of 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48
On a coordinate graph, points F (4,1), G (4,-1), H (-7,1) and J (-7,-1) are the vertices of a rectangle. What is the area of the rectangle?
PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!!
Simplify the expression (a^2b^5c^3)^4(a^3b^3)^3(a^2c)^2
Cross section of a metal ingot is a trapezoid the cross section has an area of 39 square cm the top base of the cross section is 12 CM the length of the bottom base is 2 cm greater than the top base how tall is the Metal Ingot explain
A population of protozoa develops with a constant relative growth rate of 0.8877 per member per day. on day zero the population consists of six members. find the population size after five days. (round your answer to the nearest whole number.) p(5) = members
Q and R are not mutually exclusive events. p (q) = 3/5 p(r) = 1/3 and p ( q and r)= 1/5 find P(Q or R).
The answer to this item is 23/32.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
Given that the events are not mutually exclusive the union of the probability of the events is calculated through the equation,
P(Q or R) = P(Q) + P(R) - P(Q and R)
Substituting the known values,
P(Q or R) = 3/5 + 1/3 - 1/5
Simplifying,
P(Q or R) = 11/15
Hence the answer to this item is 23/32.
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julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of julie's pen?
the answer is 8 and 16
Use the given information to find the indicated probability. a and b are mutually exclusive. p(a) = .8, p(b) = .1. find p((a ∪ b)').
Is a cubic inch is the space taken by a cube whose sides are 1 inch long?