Anna, Boris, and Clara thought of 1 number each Ana's number increased by 20 is 21 greater than boris's number decreased by 22. Boris's number decreased by 20 is 21 greater than claras number increased by 22. How much less is claras number than annas number?
Answer:
Clara's number is 42 less than Anna's number
Step-by-step explanation:
We can start this problem out by setting our variables up:
A= Anna's number
B= Boris's number
C= Clara's number
so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:
- "Ana's number increased by 20"
A+20
- "boris's number decreased by 22"
B-22
- "21 greater than boris's number decreased by 22."
(B-22)+21
- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."
A+20=(B-22)+21
This is our first important equation here. Let's go with the second part of the problem:
- "Boris's number decreased by 20"
B-20
- "claras number increased by 22"
C+22
- "21 greater than claras number increased by 22"
(C+22)+21
Now the whole thing:
"Boris's number decreased by 20 is 21 greater than claras number increased by 22."
B-20=(C+22)+21
This is our second important equation.
So now we have the following system of equations:
A+20=(B-22)+21
B-20=(C+22)+21
We can now simplify the equations by combining like terms so we get:
Equation 1:
A+20=(B-22)+21
we can get rid of the parenthesis so we get:
A+20=B-22+21
We can subtract a 20 from both sides of the equation so we get:
A=B-22+21-20
We perform the subtractions so we get:
A=B-21
Equation 2:
B-20=(C+22)+21
We get rid of the parenthesis:
B-20=C+22+21
We add a 20 to both sides so we get:
B=C+22+21+20
We can now perform the additions so we get:
B=C+63
And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:
A=C+63-21
We combine like terms to get:
A=C+42
We can subtract 42 from both sides to get:
C=A-42
which reads:
Clara's number is 42 less than Anna's number.
I am confused please help. don’t use me for points.
Answer:
1. 17.2
2. 113
Step-by-step explanation:
Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages
What is the solution to this using substitution method pls show ur work
Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
Which of the following situations represents a proportional relationship?
F The amount of money in the piggy bank y, after x weeks. With an initial amount of
$35 and saving $80 per week.
The number of oranges y contained in x sacks if each sack has 45 oranges.
H The values of x and y. The value of x = 18 when y = 2, then x = 36 when y = 3.
I The weight a dog y, after x months if its initial weight is 5 pounds and gains 2
pounds per month
Answer:
The number of oranges y contained in x sacks if each sack has 45 oranges.
CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW
Answer:
20. [tex]-\frac{y^{12} }{9x^{4} }[/tex]
Step-by-step explanation:
21. [tex]3 x^{2} y^{2}[/tex]
Translate 4 units right and 3 units up.
Answer: Hope this helps! Sorry if it looks a little messy. Have an amazing day!
Step-by-step explanation:
Wendy and Connor each deposit 8,300 into accounts that earn 3.5% interest for 25 years Wendy's account earns annual simple interest sand Connor's account earns an annual compound interest who will earn more interest of 25 years and how much interest they will earn
Answer:
Connor will earn more interest because he is getting compound interest.
Step-by-step explanation:
I have to assume in this case that the interest is 3.5% Per year:
Simple Interest = P(r + t)
{P = Principle, r = interest rate, t = time)
Wendy = $8,300 x (3.5% x 25)
Wendy = $7,262.50 (2 d.p)
Wendy = $8,300 + $7,262.50
Wendy = $15,562.50
Compound Interest = [tex]P (1 +r )^{t}[/tex]
{P = Principle, r = interest rate, t = time)
Connor = $8,300 x [tex](1 + 0.035)^{25}[/tex]
Connor = $19,614.93
Wendy's Interest = $15,562.50 - $8,300 = $7,262.50
Connor's interest = $ 19,614.93 - $8,300 = $11,314.93
Connor earned more interest by $4,052.43
___________________________________________________
Hope this helps!
PLEASE MARK AS BRAINLIEST :)
Have a good day :)))))
Joseph is a college student at The University of Texas. He made good grades in high school and received a scholarship that pays for his school, housing and books. Joseph does not have a car, but still needs to pay for his own meals. He calculates that he needs to make at least $450 per month. He has a job working at the bookstore and gets paid $15 per hour. What is the minimum number of hours that Joseph must work per week to make $450 per month?
A. 40 hours
B. 7.5 hours
C. 22.5 hours
D. 11 hours
Answer:
Step-by-step explanation: cap
Answer: 7.5
Step-by-step explanation:
I don't have the energy to explain but trust me in this guys you're welcome I did a lot of math but 7.5 is the answer /srs
the width of a rectangule is 4 feet and the diagonal length of the rectangle is 13 feet, which mesurment is closest to the length of this rectangle in feet
Answer:
52 feet
Step-by-step explanation:
Answer:9 feet
Step-by-step explanation:
Rosie is building a wheelchair ramp that is 24 feet long and 2 feet high. She needs to install a vertical support piece 16 feet from the end of the ramp. What is the length of the support piece in inches?
Answer:
40ft 480inches
Step-by-step explanation:
Which shape below is the pre-image. How can you tell?
Answer:
the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!
what is the next 10 numbers of pi?
3.14
Answer:
3.14159265358
Step-by-step explanation:
Answer:
3.141592653589
Step-by-step explanation:
pi = 3.14159265358979323846264338327950288419716939937510...
Answer: 3.141592653589
Find missing side? Soh cah toa
Answer:
x ≈ 14.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.6 ( to 1 dec. place )
2
Which of the following expressions is equivalent to
V162?
O
27.32
36
27.1/6
.
9
Answer:36
Step-by-step explanation:
I hope this helps and if it does plz if u can buy a thanks and brainlist or what ever it’s called :)
what 2 numbers have a product of -36 and a sum of 9
Answer: -3 and 12
Step-by-step explanation: -3+12=9 and -3(12)=-36
Solve the system by substitution.
1. y= 7x
x − 7y = -48
Screen Shot of answer
source:Mathwa.y
Answer:
x=1
y=7
Explaination:
y=7x---------(1)* *First equation
x-7y=(-48)----(2)* *Second equation
Put (1)* into y on (2)*
x-7(7x)=(-48)
x-49x=(-48)
-48x=(-48)
48=48x
48÷48=x
1=x or x=1--------(3)* *Third equation
Put (3)* into (1)*
y=7(1)
y=7
feel free to ask me
What is the value of 2x to the power of 2 when x = 1.5?
15.0
4.45
4.50
450
Answer: 4.50 Look at the picture
Step-by-step explanation: Hope this help :D
BRAINLIEST
a. 2 root of 5
b. 4
c. 4 root of 5
d. 3
Answer:
4
Step-by-step explanation:
Because the height would be half of the base.
Hope this helps ^-^
Find area of square
Pls help
Answer:
49/64 yd²
Step-by-step explanation:
since where finding a square we do
A = bxh
A = 7/8×7/8
A = 49/64
Find the length of the third side. If necessary, round to the nearest tenth. 7 5
Answer:
11.66
Step-by-step explanation:
As far as I remember the Pythagorean theorem states that A squared + B squared = C Squared. A and B are your 2 input numbers so therefor 6squared + 10squared =136 but you have to find the Square root of that because you added the other two squared numbers. Your answer is approximately 11.661903
-4(y - 2) = 12
solve for y, thanks
Answer:
-1
Step-by-step explanation:
-4(y-2)=12
-4y+8=12
-4y=4
y= -1
Evaluate the expression for K=-16,m=-22,and n=-23.k+m+n
Answer:
-16-22-23= -61
Step-by-step explanation:
Hope it was helpful .
When rolling a die, calculate the probability as a fraction of rolling an even number. The probability is
Answer: 3/6
Step-by-step explanation:
Que funciones madre tienen su punto de inicio en el origen
Answer:
Funciones radicales
Step-by-step explanation:
Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.
B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter
the median of a data set is 100 which statement about the data set must be true? A. the data set has an average of 100 B. Half the data values are greater than 100 C.The minimum value is 80 and the maximum value is 120 D. Only one of data points in the data points in the data has a value of 120
Answer:
B
Step-by-step explanation:
The median value is in the middle.
Leslie rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 11? (5 points)
2 over 36
3 over 36
4 over 36
5 over 36
Answer:
67
Step-by-step explanation:
Answer:
2 over 36
Step-by-step explanation:
The only way to get an 11 is with a 5 and a 6 so the probability of rolling a sum of 11 is:
(2/6)(1/6)=2/36
how do you solve this two step equation? 5 -2/3x =3
Answer:
x = 3
Step-by-step explanation:
I will assume you meant 5 - (2/3)x = 3. This simplifies to -(2/3)x = -2, or
(1/3)x = 1, so that x = 3.
2
"2/3x" could be interpreted as --------- which would give us a very different
3x result. Use parentheses to
lessen the chances of
misinterpretation.
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
y=4+x
y = x − 4
y = 4 · x
y = x ÷ 4
Answer:
y=4+x
Step-by-step explanation:
Answer: A.) y=4+x
Step-by-step explanation: Took the test :P