Bob, Celia, Sam and Daniel gave money to buy their boss a retirement gift. Sam and Daniel each gave the same amount of money. Celia gave $12 more than Daniel. Bob gave half as much as Celia gave. If the four workers contributed a total of $81, how much did Celia give?
Answers
here's the equation: x+x+(x+12)+ 1/2(x+12) =81
combine like terms
(x+x+x+1/2x) + (12+6) = 81
simplify
7/2x +18=
subtract 18 from both sides.
7/2x=63
multiply by reciprocal (aka 2/7)
x=18
18+12=30 so celia gave 30.
Hope this helps!
Related Questions
Find the area of the shaded segments. Leave your answer in terms of pi or round to the nearest 10th.
Answers
Given:
The radius of the circle is 2. and the sector angle is 90 degrees.
The area of the sector is calculated as,
\(\begin{gathered} A_S=\frac{\theta}{360^{\circ}}\pi\times r^2 \\ A_S=\frac{90^{\circ}}{360^{\circ}}\times\pi\times2^2 \\ A_S=\pi \end{gathered}\)Now, find the area of the triangle. Whose height and the base are 2 units.
\(\begin{gathered} A_T=\frac{1}{2}\times h\times b \\ A_T=\frac{1}{2}\times2\times2 \\ A_T=2 \end{gathered}\)So, the area of the shaded region is,
\(undefined\)SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
Answers
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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• Write this number as a fraction:178.25
Answers
Answer: 178 1/4 or 713/4
Step-by-step explanation:
178.25 = 178+0.25 = 178+25/100
gcd(25,100) = 25
178.25 = 178+(25/25)/(100/25) = 178+1/4 = 713/4
I NEED AN EXPLANATION!!!
Answers
The interior angles of a triangle are always equal to 180 degrees. If you substitute -30 into the equations you will get both 60 degrees and 30 degrees.
30+60+90=180.
hope that helps!
Mrs. Young has p goats and q cows on his farm. He has 23 fewer cows than goats.
What are the missing values in the table?
PLSSSS QUICK
Answers
Step-by-step explanation:
35:12
40:17
45:22
50:27
55:32
Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?
To find the length of Bentley’s long run, you would use:
5 – 2.25
Question 1 options:
True
False
Answers
Answer:
True
Step-by-step explanation:
If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.
Please help find the answer. Thank You!
Answers
Answer:
Step-by-step explanation:
208
Here is a list of numbers.
-45
-21
-16
12
33
40
a) Write down two numbers from the list that add up to -9.
-16 and 12
b) Write down two numbers from the list that have a difference of 29.
c) Work out the sum of all the numbers in the list.
Negatives - Adding and Subtracting
View One Minute Version
Overview
FOUNDATION 1a - Integers and Place Val
Clin 68
Answers
Answer:
12+-21 hope it helped jejdjdjdjd
You pick a card at random, put it back, and then pick another card at random.
3 4 5
What is the probability of picking a 4 and then picking a number greater than 4?
Write your answer as a fraction or whole number.
Answers
Step-by-step explanation:
so, we have only 3 cards in total ?
picking a number greater than 4 means to pick a 5.
out of 3 cards the probability to pick a specific one (like a 4 or a 5) is then 1/3.
so, the probability to pick a 4 as first card is 1/3.
now we put that card back and then draw a second card.
the probability to draw a 5 there is also 1/3.
so, the combination of the probabilities of both events is 1/3 × 1/3 = 1/9 = 0.111111111...
Describe a function that takes an input, adds 2, and then multiplies by 4
Answers
Answer:
Step-by-step explanation:
Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4
A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.
Answers
The surface area of the cylinder is 905 square centimeters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 12 cm
Height, h = 18 m
This means that
Radius, r = 12/2 = 6 cm
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 6 * (6 + 18)
Evaluate
Surface area = 905
Hence, the surface area is 905 square centimeters
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convert 30 minutes into seconds
Answers
Answer:
1800 seconds.
Step-by-step explanation:
30 × 60 = 1800
Answer: 1800 seconds
Just multiple the time value by 60.
What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math
Answers
The area of the triangle is:
A = (base•height) : 2 = (3•2) : 2 = 3 m2
So the volume is:
V = 3 • 8 = 24 m3
explain how to write function rule from the table below. Then write a function fule. x=0,2,4,6. y=2,1,0,-1
Answers
Both representations are equivalent and describe the same function.the function rule for this table is: f(x) = -1/2 x 2
What do you mean by Slope in Graph ?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.
To write a function rule for a given array, we need to determine how the values in the output column (y) relate to the values in the input column (x).
Looking at the given data, we notice that the output values decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .
The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values decrease by 1 every time the input values increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.
Therefore, the function rule for this table is:
f(x) = -1/2 x 2
where x is the input value and f(x) is the output value.
Alternatively, we can also represent the function in table entries, for example:
f(0) = 2
f(2) = 1
f(4) = 0
f(6) = -1
Both representations are equivalent and describe the same function.
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A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Use 3.14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
The radius of the circle is 24.5 units
Step-by-step explanation:
The formula for the circumference of a circle is \(C=2\pi r\)
Where \(C\) is the circumference and \(r\) is the radius.
Lets solve for \(r\).
Divide both sides of the equation by \(2\pi\).
\(\dfrac{C}{2\pi}=r\)
Now we have an equation to evaluate the radius.
Numerical Evaluation
In this example we are given
\(C=153.86153\\\pi =3.14\)
Substituting our values into our equation for the radius yields
\(r=\dfrac{153.86153}{2*3.14}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=24.5\)
A teaspoon of salt has a mass of 6 grams what is its mass in milligrams
Answers
Answer:
6000 milligrams
Step-by-step explanation:
trust
Question 1 Multiple Choice Worth 4 points)
(08.02)The coordinate grid shows the plot of four equations.
A
B
A
-72625
Which set of equations has (2, 2) as its solution?
A and D
Band D
A and C
Band C
Answers
Answer:D
Step-by-step explanation:
They who answer first, brainliest is thy prize
Answers
Answer:
Quotient: 3x+3
remainder: -2x+5
Step-by-step explanation:
Use polynomial long division
football team gained 9 yards on one play and then 22 yards on the next. Write a sum of integers to find the overall change in field position A.
Answers
gained 9 yards, then lost 22:
9-22=c
-13=c
Therefore, the football team lost 13 yards in overall change in field position. Meaning, the team didn't gain any yards, they lost 13.
Answer:
Step-by-step explanation:
Gained -> (+) added
Since the team gained 9 yards and then gained another 22 yards, they gained 9+22, or 31 yards total.
Chairs need to be set up for the audience members. You want to use. the fewest number of chairs and still meet these three additional condions.
• There are 23 rows of chairs.
• There are the same number of chairs in esch row.
• There are an even number of chairs in cads rom.
Based on the number of students expected to attend, design a plan to set up the chairs. State how many total chairs there are, and explain why your plan meets these conditions.
Answers
There must be 46 chairs in each row and total number of chairs are 1058
To meet the given conditions, we need to find a number that has the following properties:
It should be divisible by 2, as there are an even number of chairs in each row.
It should be divisible by 23, as there are 23 rows of chairs.
It should be the same number in each row.
The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.
So, we need to set up 46 chairs in each row.
The total number of chairs required will be:
Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs
Hence, the total number of chairs are 1058
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Please help me with this question please help me I beg you
Answers
Step-by-step explanation:
Given
f(x) = 5 / 2x - 1
f^-1( x) = ?
Let
y = f(x)
y = 5/2x - 1
Interchanging the roles of x and y we get
x = 5/2y - 1
2y - 1 = 5/x
2y = 5/x - 1
y = (5/x - 1)/ 2
f^-1(x) = ( 5/x - 1) / 2
Hope it will help :)
Bo big cookies for two hours and 30 minutes he finished baking at 8:30 PM when did bo start baking
Answers
Answer:
6:00 pm
Step-by-step explanation:
Factor the polynomial completely. 2x^2-9x+7
Answers
The polynomial is a quadratic function, and the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)
How to factor the polynomial?The polynomial expression is given as:
2x^2 - 9x + 7
Expand
2x^2 - 9x + 7 = 2x^2- 2x - 7x + 7
Factorize the above expansion
2x^2 - 9x + 7 = 2x(x - 1) - 7(x - 1)
Factor out x - 1
2x^2 - 9x + 7 = (2x -7)(x - 1)
Hence, the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)
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HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answers
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
The graph shows the hourly wage requirement m (in dollars) *
for employees in a state. Which inequality represents
the state's hourly wage requirement. (section 2.2)
7.5
8
m≥ $9.5 per hour
m> $9.5 per hour
m≥ $9.25 per hour
m> $9.25 per hour
8.5
9
9.5 10
1 point
Answers
An inequality that represents the state's hourly wage requirement include the following: C. m ≥ $9.25 per hour.
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Assuming the variable m represent the state's hourly wage requirement. Additionally, each interval on the number line represent 0.25 per hour.
Since the shaded circle (dot) is located at point 9.25 and the arrows points or increases to the right, an inequality that represents the state's hourly wage requirement is m ≥ $9.25 per hour.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
how do i solve this?
Answers
Answer:
5\(\sqrt{3}\)
Step-by-step explanation:
This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5\(\sqrt{3}\)
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answers
Answer: C
Step-by-step explanation:
Estimate the sum of 379+409=
Answers
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
You and your best friend have decided to go out Friday night to spend the money you received from having a great report card. The amount of money each received is $25. You are deciding if you would like to go bowling at Splitsville or go to a movie at Paragon Village.
Question : Write an equation to determine the number of friends who can come to the movie (Paragon Village) with both of you if you and your best friend put your money together and only buy one large combo.
Paragon Village: Tickets are $5 per person and a large combo (Large Popcorn and Large Drink) is S7 together.
Splitsville: Games are $6.00 per person and shoe reantal is $2.
I need help, please try you're best and show you're work(if you want). I need a eqation. Hope you the best of luck.
Answers
Answer:
Step-by-step explanation: X=-4y+4
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
Answers
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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