Answer:
Her new salary per month is $2750.
Step-by-step explanation:
Given:
A person’s salary is $2500 per month.
She receives a 10% raise.
Now, to find the new salary.
Salary per month = $2500.
She receives raise = 10% of $2500.
Now, to get the new salary:
[tex]2500+10\%\ \times 2500[/tex]
= [tex]2500+\frac{10}{100} \times 2500[/tex]
[tex]=2500+0.10\times 2500[/tex]
[tex]=2500+250[/tex]
[tex]=2750.[/tex]
Hence, the new salary = $2750.
Therefore, her new salary per month is $2750.
The person's new salary, after receiving a 10% raise, is $2750 per month.
Step 1: Calculate the raise amount:
Raise Amount = Original Salary × Raise Percentage
Raise Amount = $2500 × 0.10 = $250
Step 2: Add the raise amount to the original salary:
To determine the new salary, add the raise amount to the original salary.
New Salary = Original Salary + Raise Amount
New Salary = $2500 + $250 = $2750
Therefore, the person's new salary, after receiving a 10% raise, is $2750 per month.
Expression:
New Salary = Original Salary + (Original Salary × Raise Percentage)
New Salary = $2500 + ($2500 × 0.10)
New Salary = $2500 + $250
New Salary = $2750
Express 18 hours as a percent of 3 days
Answer:
25%
Step-by-step explanation:
Convert days into hours
3 days = 3×24 = 72 hours
18/72 × 100 = 25%
Three freshmen, 3 sophomores, 3 juniors, and 3 seniors are participating on the debate team. The team's captain is randomly selected from any grade level. What is the probability that a freshman will NOT be selected as captain?
A)
1
4
B)
1
3
C)
3
4
D)
5
6
Answer:
C) [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given:
Number of freshmen = 3
Number of sophomores =3
Number of juniors =3
Number of seniors = 3
The team's captain is randomly selected from any grade level.
To find the the probability that a freshman will not be selected as captain.
Solution:
Total number of members in the team = [tex]3+3+3+3[/tex] = 12
Probability that a freshman will be selected as captain will be:
⇒ [tex]\frac{Number\ of\ freshmen}{Total\ members}[/tex]
⇒ [tex]\frac{3}{12}[/tex]
Reducing to simple fraction by dividing numerator and denominator by 3.
⇒ [tex]\frac{3\div3}{12\div 3}[/tex]
⇒ [tex]\frac{1}{4}[/tex]
Thus, probability that a freshman will not be selected as captain will be given as:
⇒ [tex]1-\frac{1}{4}[/tex]
Taking LCD.
⇒ [tex]\frac{4}{4}-\frac{1}{4}[/tex]
Subtracting the numerators.
⇒ [tex]\frac{3}{4}[/tex] (Answer)
Answer:
c
Step-by-step explanation:
HELP I WILL PAY YOU WITH TONS OF POINTS
options: (choose 3)
4.5
2
1/2
6
10
Answer:
I believe 4.5, 2 and 1/2
Answer:
4.5 , 2 , 1/2
Step-by-step explanation:
Because if you multiply 5 by 0.9, which is less than 1, you will get 4.5
If you multiply 5 by 0.4, which is less than 1, you will get 2
And finally if you multiply 5 by 0.1, which is less than 1, you will get 1/2
What postulate would justify the following statement if D is between A and B then Ad plus DB equals Ab
Answer:
Segment addition postulate justify the statement if D is between A and B then Ad plus DB equals Ab
Step-by-step explanation:
This postulate states that if two points A and B are given and third point D lies on line segment AB only if distance between the points satisfy the equations AD+DB=AB.
Answer:
Segment Addition Postulate
Step-by-step explanation:
The whole line segment would be AB. The midpoint of the line segment would be D. If we add AD (the first portion of the line segment), and DB (the second portion of the line segment), then we get AB (A-D-B)
Representation:
(AD) (DB)
|--------------------------|---------------------------|
A D B
|------------------------------------------------------|
(line segment AB)
AB is parallel to CD. What is the length of BE? 3.75 6 3.33 7.5
Answer:
The correct option is 7.5
Therefore the length of BE is 7.5 units
Step-by-step explanation:
Given:
AB || CD
AE = 5
DE = 2
EC = 3
DC = 1.5
To Find:
BE = ?
Solution:
In Δ ABE and Δ DCE
∠ABE ≅ ∠DCE …………..{ Alternate angles are equal since AB || CD }
∠AEB ≅ ∠DEC ……….....{Vertical opposite angles are equal}
Δ ABE ~ Δ DCE….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{BE}{CE} =\dfrac{AE}{DE}=\dfrac{AB}{DC} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{BE}{CE} =\dfrac{AE}{DE}[/tex]
[tex]\dfrac{BE}{3}=\dfrac{5}{2}\\\\BE=\dfrac{15}{2}=7.5[/tex]
Therefore the length of BE is 7.5 units
What is 9+10?
A) 910
B) 21
C) 19
D) 90
Answer:
C) 19
Step-by-step explanation:
9+10 = 19
Answer:
B) 21
Step-by-step explanation:
Because 3×3=9 and 2×5=10
If you switch it, 3×2 and 3×5, that is equal to 6 and 15.
6+15=21
How does soil begin to form?
Answer: Rock particles clump together in aggregate
Step-by-step explanation:
Soil minerals form the basis of soil. They are produced from rocks (parent material) through the processes of weathering and natural erosion. Water, wind, temperature change, gravity, chemical interaction, living organisms and pressure differences all help break down parent material.
Answer:
D
Step-by-step explanation:
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
Answer for Blank 1:
Replace a and b with the given values:
3.14(3^2 + 3x4)
Simplify:
3.14(9 +12)
3.14(21)
Multiply:
3.14 x 21 =65.94
Erin and Karissa are 114 miles apart, traveling towards each other. If Karissa travels 12 mph and Erin travels 7 mph how long until they meet?
Answer:
[tex]They\ will\ meet\ after\ 5.43\ hours\ or\ 5\ hours\ 25.8\ minutes.[/tex]
Step-by-step explanation:
[tex]Let\ they\ meet\ after\ x\ hours.[/tex]
Distance covered by Karissa:
[tex]Speed=12\ mph\\\\Time=x\ hours\\\\Distance=speed\times time\\\\Distance=12\times x\\\\Distance=12x[/tex]
Distance covered by Erin:
[tex]Speed=9\ mph\\\\Time=x\ hours\\\\Distance=speed\times time\\\\Distance=9\times x\\\\Distance=9x[/tex]
Total distance:
[tex]Total\ distance=114\ miles\\\\Total\ distance=Distance\ covered\ by\ Karissa+Distance\ covered\ by\ Erin\\\\Total\ distance=12x+9x\\\\12x+9x=114\\\\21x=114\\\\x=\frac{114}{21}\\\\x=5.43\ hours[/tex]
PLEASE HELP
what is an equation of the line?
The equation of line is [tex]y+3=2(x+2)[/tex]
Option A is correct.
Step-by-step explanation:
We need to find the equation of the line.
Looking at the graph the two points are: (2,5) and (-2,-3)
We will first find the slope of these points using formula:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here x₁ = -2, y₁=-3, x₂=2 and y₂=5
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-(-3)}{2-(-2)}\\Slope=\frac{8}{4}\\Slope=2[/tex]
So, slope of the line is 2.
Considering that both lines are parallel (as not given in question). both lines will have same slope.
Now using Point slope form to find the equation.
[tex]y-y_1=m(x-x_1)[/tex]
Using point (-2,-3) and slope m= 2
[tex]y-y_1=m(x-x_1)\\y-(-3)=2(x-(-2))\\y+3=2(x+2)[/tex]
So, the equation of line is [tex]y+3=2(x+2)[/tex]
Option A is correct.
To the nearest tenth, what is the population density of bacteria at the end of the third hour in petri dish A?
Answer:
The question is not complete or missing details. Here is a similar question ; Suppose the rate of growth of bacteria in a Petri dish is given by q(t)=2t, where t is given in hours and q(t) is given in thousands of bacteria per hour. If a culture starts with 3,000 bacteria, find a function Q(t) that gives the number of bacteria in the Petri dish at any time t. How many bacteria are in the dish after 4 hours? Round your answer to the nearest thousand and do not include units.
Step-by-step explanation:
The detailed steps are as shown in the attachment.
q(t)=2t
dq/dt = 2t
Integrating both sides as shown in the attachment.
Any other question can be approached the same way.
Check 56 divided 16 using multiplication
Answer:
3.5
Step-by-step explanation:
3.5x16=56
There are 4 elephants in length for every blue whale, 4 blue whales for every
Redwood tree in height, and 2 Redwood trees for every Washington Monument
tall. How many elephants tall is the Washington Monument?
Which of the following sets of equations correctly represents this situation?
Answer:
32
Step-by-step explanation:
4 elephants = 1 blue whale
4 blue whales = 1 tree = 16 elephants
2 trees = 1 monument = 32 elephants
The Washington Monument is 32 elephants tall.
To determine how many elephants tall the Washington Monument is, we need to set up a proportion using the given comparisons between elephants, blue whales, Redwood trees, and the Washington Monument.
First, let's establish the individual proportions:
1 blue whale = 4 elephants in length.
1 Redwood tree = 4 blue whales in height.
1 Washington Monument = 2 Redwood trees in height.
Now we can combine these proportions to find out how many elephants equal the height of one Washington Monument:
1 Washington Monument = 2 (Redwood trees) = 2 * 4 (blue whales) = 2 * 4 * 4 (elephants) = 8 * 4 elephants = 32 elephants.
Thus, the Washington Monument is 32 elephants tall.
13. Three weeks ago John bought stock at 49'/s; today the stock is valued at 49'/s. We could say the stock is performing at which of the following?
A. Above par
B. Below par
C. On par
D. Par equality
Answer:
awnser b
Step-by-step explanation:
what’s the value of the ratio 21:45
Answer:
im not sure but I think it's 1.5
Answer:
7:15
Step-by-step explanation:
21:45
21/3 = 7 and 45/3 = 15
Thus, 21:45 ratio simplified is 7:15
There are 130 people on a bus trip. They stop at a restaurant for lunch. Each table at the restaurant can seat 8 people. What is the least number of tables that will seat all the people? 8 16 17 18 PLZ HELP ASAP I WILL GIVE THE BRAINLEST
AND 100 POINTS
The least number of tabke that will seat all the bus members is 17.
Calcualting the number of seats requiredTo find the least number of tables needed to seat all 130 people, you can divide the total number of people by the number of people each table can seat (8).
Number of tables = Total number of people / Number of people per table
Number of tables = 130 / 8
Number of tables = 16 tables with 2 people left over
To seat all 130 people, you would need at least 17 tables.
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To find the least number of tables needed to seat all 130 people, you divide 130 by 8, and then round up to the nearest whole number. This gives you a total of 17 tables.
Explanation:The subject of this question is a Mathematics problem, specifically a division problem involving the concept of rounding up. You are asked to determine the least number of tables needed to seat all 130 people, given that each table can seat 8 people.
In order to solve this problem, you need to divide the total number of people by the number of people that can be seated at each table (130 ÷ 8 = 16.25). Because you can't have a fraction of a table, you round this value up to the nearest whole number. Thus, you will need 17 tables to seat all 130 people.
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The perimeter of a
rectangle is 60m while
the area is 216m².
Find the dimensions
of the rectangle.
Answer:
18m by 12m
Step-by-step explanation:
Check attachment
I hope this was helpful, Please mark as brainliest
Answer:length is 18m and breadth is 12m
Step-by-step explanation:see attachment for detailed explanation
975,462 were downloaded in one day. Round this number to the nearest hundred thousand to estimate how many songs were downloaded in one day
Answer:
975,462.00000
Step-by-step explanation:
975,462 rounded to hundred thousand
The number 975,462 rounded to the nearest hundred thousand is 1,000,000 because the ten thousand digit (7) is more than 5.
Explanation:To round the number 975,462 to the nearest hundred thousand, you have to look at the ten thousand digit. In this case, that's 7. If this digit is 5 or more, you round up the hundred thousand digits. If it is less than 5, you leave the hundred thousand digits as it is. In our number, the ten thousand digit is 7, so we round up the hundred thousand digit which is 9 to 10. Since there is no '10' in the digit system, it overflows to the next digit, making it 1,000,000. So, 975,462 rounded to the nearest hundred thousand is 1,000,000.
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simplify the expression.
2k^8 • 3k^3
A. 6k^24
B. 6k^11
C. 5k^11
D. 5k^24
Answer:
B. 6k^11
Step-by-step explanation:
2k^8 • 3k^3
The • sign means
multiplication
So 2k^8 x 3k^3
6k^8+3
6k^11
is 54183 divisble by 5,6,and 9
Answer: No.
Step-by-step explanation:
If you divide 54183 by each number, it would be in decimal form.
Answer:
No
Step-by-step explanation:
A librarian receives two boxes of books for the library. The first box has 136 books.
The second box has 58 fewer books than the first box. What is the total number of books the
ibrarian receives?
Final answer:
The librarian receives a total of 214 books, with the first box containing 136 books and the second box containing 78 books (58 fewer than the first).
Explanation:
To find the total number of books the librarian receives, we first need to determine how many books are in the second box. We are told that the second box has 58 fewer books than the first box, which contains 136 books. Therefore, we can calculate the number of books in the second box by subtracting 58 from 136.
The calculation for the second box will be: 136 books - 58 books = 78 books.
To find the total number of books, we then add the number of books in the first box to the number of books in the second box:
Total books = 136 books + 78 books = 214 books.
Thus, the librarian receives a total of 214 books.
Final answer:
Subtract 58 from 136 to find the number of books in the second box (78 books), then add the number of books from both the first and the second box to get the total (214 books).
Explanation:
The student has asked how to calculate the total number of books a librarian receives if the first box contains 136 books and the second box contains 58 fewer books than the first. To find the number of books in the second box, we subtract 58 from 136, which gives us 78 books. To find the total number of books received, we then add the number of books in both boxes together: 136 books from the first box plus 78 books from the second box equals 214 books in total.
The answer to this question
Volume =9,145.33 pi in^3
Diameter =38
Answer: [tex]diameter=38\ in[/tex]
Step-by-step explanation:
Based on the picture I assume that the exercise asks for the diameter of the sphere.
So, it is necessary to remember the following:
1. the volume of a sphere can be calculated with the following formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where "r" is the radius.
2. The radius is twice the diameter.
So, knowing that the volume of the sphere is:
[tex]V=9,145.33\pi\ in^3[/tex]
You can substitute them into the equation and then solve for "r" in order to find its value:
[tex]9,145.33\pi\ in^3=\frac{4}{3}\pi r^3\\\\\frac{(3)(9,145.33\pi\ in^3)}{4\pi}=r^3\\\\\sqrt[3]{\frac{(3)(9,145.33\pi\ in^3)}{4\pi}}=r\\\\r=19\ in\\\\[/tex]
Then, the diameter is:
[tex]d=2r\\\\d=2(19\ in)\\\\d=38\ in[/tex]
A group of marine biologists are scuba diving. For safety, they dive in pairs. The two divers in a pair must be at most 35 feet away from each other at all times. One diver is 122 feet below sea level. The other driver is at 159 feet below sea level. How far apart are the divers?
Answer: They are 37 feet apart each other
Step-by-step explanation:
We are told that two divers are at a certain distance between them. The first diver is at a depth of 122 ft and the second diver is at a depth of 159 feet.
Note we are talking about depth, since both divers are below sea level.
Now, if we want to know the distance that separates them, we only have to take the difference between both depths:
[tex]159 ft-122 ft=37 ft[/tex] This is the distance beweent both divers.
This means they have to reduce their distance by 2 feet in order to accomplish the safety rules.
how many packs of pencils can you get if there is 1,440 pencils and 6 in each pack
Divide 1440 by 6 to get 240 packs.
Taylor and Morgan would like to spend some time on the river while camping with their family. Taylor wants to rent a two-person kayak. There is a $5 setup fee for kayak rentals and then kayaks are rented at $8 per hour. The setup fee for canoes is $9 and they are rented at $6 per hour. Determine the number of hours it takes for canoe rentals and kayak rentals to cost the same amount.
Answer:
After 2 hrs canoe rentals and kayak rentals cost would be same.
Step-by-step explanation:
Let the number of hours be 'x'.
Given:
Set up fee for Kayak rental = $5
Hourly rate for Kayaks rental = $8
Solution:
First we will find the total cost of Kayak rentals.
total cost of Kayak rentals can be calculated by sum of Set up fee for Kayak rental and Hourly rate for Kayaks rental multiplied by number of hours.
framing in equation form we get;
total cost of Kayak rentals = [tex]5+8x[/tex]
Now Given:
Set up fee for Canoe rental = $9
Hourly rate for Canoe rental = $6
Now we will find the total cost of Canoe rentals.
total cost of Canoe rentals can be calculated by sum of Set up fee for Canoe rental and Hourly rate for Canoe rental multiplied by number of hours.
framing in equation form we get;
total cost of Canoe rentals = [tex]9+6x[/tex]
Now to find the number of hours when both rentals would cost same we will make both the equation equal we get;
[tex]5+8x=9+6x[/tex]
Combining like terms we get;
[tex]8x-6x=9-5\\\\2x=4[/tex]
Now Dividing both side by 2 we get;
[tex]\frac{2x}{2}=\frac{4}2\\\\x=2\ hrs[/tex]
Hence After 2 hrs canoe rentals and kayak rentals cost would be same.
Final answer:
To find when the cost of renting a canoe equals the cost of renting a kayak, we set up an equation for each rental's cost, equalize them, and solve for the number of hours. It takes 2 hours for both to cost the same.
Explanation:
To determine the number of hours it takes for canoe rentals and kayak rentals to cost the same amount, we can set up an equation based on the cost structures provided:
Kayak rental: $5 setup fee + ($8 per hour × number of hours)Canoe rental: $9 setup fee + ($6 per hour × number of hours)If we let h be the number of hours, the costs for both rentals can be expressed as $5 + 8h (kayak) and $9 + 6h (canoe). To find when they cost the same, we can set these expressions equal to each other:
5 + 8h = 9 + 6h
Now, let's solve for h:
Subtract 6h from both sides to get the terms involving h by themselves:
5 + 8h - 6h = 9 + 6h - 6h
5 + 2h = 9
Next, subtract 5 from both sides to solve for h:
2h = 9 - 5
2h = 4
Finally, divide both sides by 2:
h = 4 / 2
h = 2
The number of hours it takes for the cost of renting a canoe and a kayak to be the same is 2 hours.
Margo borrows $100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay.
Margo will pay $1.5 in interest after borrowing $100 at an annual interest rate of 6% for 6 months, using the simple interest formula I = PRT.
Explanation:To calculate the interest Margo will pay after 6 months on a $100 loan with an annual interest rate of 6%, we have to first convert the annual rate to a semiannual rate because interest is being calculated for half a year. The formula for simple interest is I = PRT, where I is the interest, P is the principal amount ($100), R is the rate of interest per period, and T is the time the money is borrowed for, in years.
In this case, R would be 6% per year, or 0.06 (when converted to a decimal). However, since only half a year (which is 6/12 or 0.5 years) has passed, we will need to adjust this interest rate by half, resulting in R = 0.03 for 6 months. We then calculate the interest I using the formula:
I = PRT = $100 * 0.03 * 0.5 = $1.5
Therefore, Margo will pay $1.5 in interest after 6 months.
Elena and Koran are playing a board game. After one round, Elena says, “You earned so many more points than I did. If you earned 5 more points, your score would me twice mine!”
Kiran says, “Oh, I don’t think I did that much better. I only scored 9 points higher than you did.”
Write a system of equations to represent each student’s comment. Be sure to specify what your variables represent.
The system of equations to represent each student comment is:
2x - y = 5
x - y = -9
Solution:
Let "x" be the score point of Elena
Let "y" be the score point of Koran
Elena says, “You earned so many more points than I did
If you earned 5 more points, your score would me twice mine
Which means,
Koran score + 5 = twice of Elena
y + 5 = 2x
Rearranging it we get,
2x - y = 5 ------- eqn 1
Kiran says, “Oh, I don’t think I did that much better
I only scored 9 points higher than you did
Elena score + 9 = Koran score
x + 9 = y
Rearranging it we get,
x - y = -9 --------- eqn 2
Thus eqn 1 and eqn 2 represents eacch student comment
The system of equations which represents the scenario described based on the statements made by kiran and Elena are :
2x - y = 5 - - - - - - (1) x - y = - 9 - - - - - (2)Representing their scores using variables :
Elena's score = x Kiran's score = yUsing Elena's statement :
Kiran's score + 5 = Elena's score × 2
y + 5 = 2x
2x - y = 5 - - - - - - (1)
Using Kiran's statement :
y = x + 9
x - y = - 9 - - - - - (2)
Hence, the system of equation is (1) and (2)
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If you were to describe a translation of triangle ABC, what information would you
need to include in your description?
Answer:
The information you'll include is the amount of spaces moved from ABC to form A'B'C' which will be based on the opposite side.
To describe a translation of triangle ABC, you need to identify the direction and distance of the translation. The triangle's shape, size, and orientation remain the same after translation.
Explanation:In describing a translation of triangle ABC, you would include the direction and distance of the translation. The direction could be up, down, left, or right. The distance would determine how far the triangle moves from its original position.
For instance, you may describe a translation as moving the triangle ABC 3 units to the right and 2 units down. It's important to note that under a translation, the shape of the triangle does not change. The size, shape, and orientation of triangle ABC remain consistent in the translated image.
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I need an accurate answer please
x = –6
Solution:
Given expression is [tex]\sqrt[3]{x-2}+5=3[/tex].
Step 1: Isolate the radical by subtracting 5 from both sides of the equation.
[tex]\Rightarrow\sqrt[3]{x-2}+5-5=3-5[/tex]
[tex]\Rightarrow\sqrt[3]{x-2}=-2[/tex]
Step 2: Cube both sides of the equation to remove the cube root.
[tex]\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3[/tex]
Cube and cube root get canceled in left side of the equation.
[tex]\Rightarrow\ x-2=-8[/tex]
Step 3: To solve for x.
Add 2 on both sides of the equation.
[tex]\Rightarrow\ x-2+2=-8+2[/tex]
[tex]\Rightarrow\ x=-6[/tex]
Hence the solution is x = –6.
7th grade math problem! Please help!
Volume of the hexagonal prism = 1732.7772 ft³
Solution:
Height of the prism (H) = 15.4 ft
Side of the hexagon base (b) = 6.58 ft
Height from center to the side length (h) = 5.7 ft.
Let us first find the area of the base.
Area of the base (B) = [tex]6\times\frac{1}{2}\ bh[/tex]
[tex]$=6\times\frac{1}{2}\times 6.58 \times 5.7[/tex]
Area of the base (B) = 112.518 ft²
To find the volume of the hexagonal prism:
Volume of the hexagonal prism = Area of the base × Height
= 112.518 × 15.4
= 1732.7772 ft³
The volume of the hexagonal prism is about 1732.7772 ft³.