Step-by-step explanation:
Given the following expression;
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
x is the number of days since the games went on sale
In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)
M(d) = R(d)
x^2-9x-10 = 2x+10
x^2-9x-10 -2x-10 = 0
x^2-11x-20 = 0
factorize
x = 11±√121-4(-20)/2
x = 11±√121+80/2
x = 11±√201/2
x = 11±37.16/2
x = 11+37.16/2
x = 48.16/2
x = 24.06
Hence the revenue for each game will be the same after 24 days
It takes about 13 days for the revenue for each game the same.
Revenue is the amount of money made from selling a particular amount of products.
Given that the revenue is given by:
Math Game: M(d)=x²-9x-10
Reading Game: R(d)=2x+10
For both games to have the same revenue, hence:
M(d) = R(d)
x² - 9x - 10 = 2x + 10
x² - 11x - 20 = 0
x = -1.6 or x = 12.6
Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.
Find out more at: https://brainly.com/question/19682087
PLEASE HELP ,,,,1. If AMNP is an equilateral triangle, find the values of x
and y.
An equilateral triangle is a triangle in which all three sides have the same length[tex].[/tex]
⭆ 14 = 3x - 4
⭆ 3x = 14 + 4
⭆ 3x = 18
⭆ x = 18/3
⭆ x = 6
In equilateral triangle, all three internal angles are also same and each are of 60°.
⭆ 5y - 5 = 60
⭆ 5y = 60 + 5
⭆ 5y = 65
⭆ y = 65/5
⭆ y = 13
★ Final answer :
x = 6y = 13Hope It Helps!Answer:
x = 6y = 13Step-by-step explanation:
equilateral triangle, all sides are equal,
MN = MP
14 = 3x - 4
x = 18/3
x = 6
internal angles are also equal.
5y - 5 = 60 (180/3 = 60)
5y = 65
y = 13
A number problem states, “–5 times a number, minus 22 gives a result of 23.” What is the number?
Answer:
im pretty sure its -9
Step-by-step explanation:
the equation explained would look something like this...
-5x-22=23
so you would isolate the variable by first adding 22 to both sides and the dividing by -5 on both sides
-5x-22=23
+22 +22
-5x/-5=45/-5
x=-9
Solve 5x-8y=19 for y.
Answer:
-19/8+5x/8
Step-by-step explanation:
Answer:
912
Step-by-step explanation:
8x19= 152
152x5= 760
760+152=
A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need?
Answer:
144?
Step-by-step explanation:
1+3+5+7+9+11 blah blah blah...
1+3+5+7+9+11+13+15+17+19+21+23 which gives 144.
At Norris Middle School 11 out of 22 students bike to school. At Lewis and Clark Middle School 14 out of 28
students bike to school. Determine whether the ratios are equivalent and explain your reasoning in the
workspace provided.
I can add fractions with unlike denominators. 2/5 + 3/10 =
Answer:
7/10
Step-by-step explanation:
2/5 multiply the denominator by 2 which will make it 10. Then multiply the numerator by 2 which will make it 4. So it will be 4/10. Then add 4/10 to 3/0 which makes 7/10.
A plumber earns $50 for a repair job, plus an additional $75 per hour he works. On Tuesday, he completed 3 repair jobs and earned a total of more than $600. Part A: Write an inequality that can be used to determine h, the number of hours the plumber worked Tuesday.
Answer:
[tex]150 + 75h > 600[/tex]
Step-by-step explanation:
The inequality that can be used to determine h is shown below:-
As per the given situation, it is mentioned that a plumber could earns $50 for a repair job, so for three jobs he earned $150 as a total amount
Now
We presume h be the number of hours
Also he earns additional $75 per hour worked so $75
Total amount is $150 + $75h)
The total amount is more than $600
So, the inequality equation is as given below:
[tex]150 + 75h > 600[/tex]
Explain how you would solve for the value of x when you are given the solution to a function.
Answer:
Substitute
Step-by-step explanation:
Substitute the values given in the function
and you will get the answer.
P.s. It depends on the question
It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walk of different lengths. Which friend is walking at the same rate as Caroline? *
0/1
Captionless Image
Answer:
Please comment the image, it won't load.
Step-by-step explanation:
What to use? Pick two points from the table and
use the slope formula to find the slope.
Example: The table below has a constant rate of
change. Find the slope.
Х
Y
- 1
4
0
6
1
8
2
10
3
12.
4.
14
Answer:
The slope is 1/2
Step-by-step explanation:
AS seen in the graph I provided you can see that the points are increasing by 1/2
Write the nature of roots of the quadratic equation 9x^2 -6x+2
Answer:
roots are not real
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
Then the nature of the roots can be found using the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then roots are not real
Given
9x² - 6x + 2 = 0
with a = 9, b = - 6, c = 2 , then
b² - 4ac = (- 6)² - (4× 9 × 2) = 36 - 72 = - 36
Since b² - 4ac < 0 then the roots are not real
Endpoint: (-8, -10), midpoint: (10,-7)
Answer:
(28,-4)
Step-by-step explanation:
Diana usually drives at average rate of 30 mph.
If Diana drives with the average rate x mph, how long would it take her to get to Tony's house?
Answer:
12/x hours
Step-by-step explanation:
d=12
s*t=d
t=d/s
t=12/s
Hope this helps pls if it help u mark me BRAINLIST pls thank u.
Answer:
12
Step-by-step explanation:
no
-5(-6k + 10) =
Help ASAP
Answer:
30k - 50Step-by-step explanation:
-5 (-6k + 10)
= 30k - 50
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than an oxygen molecule.
Which statements describe writing 0.00000000003 in scientific notation? Check all that apply.
Answer:
3 x 10 to the 11th
Step-by-step explanation:
move the decimal to the right, keeping it positive, 11 times to make it 0.3
Answer:
The exponent represents the number of places the decimal moves.
The decimal moves to the right.
The exponent is negative.
Step-by-step explanation:
You need to find two numbers where one number is 4 times as large as the other and where the difference is
the two numbers are 39. What are the numbers?
equation
Solve the system x+2z=30 y+z=12 z=1
Answer:
x=28 y=11 z=1
Step-by-step explanation:
plug in 1 for z in x+2z=30 to get x+2(1)=30. Then you should get x+2=30 which is x=28.
Then, plug 1 in for the second equation of y+z=12 so you get y+1=12. Then you should get y=11.
Please help me it would mean a lot
42.5 i think
The whole angle is 127 minus the angle we know (32) this leaves us with 85 for the rest of the angle but we still have to deal with the angle bisector so we divide it by 2 leaving us with 42.5 I'm pretty sure.
Help me with algebra 1 core if its the right answer i'll make you the brainliest! Help me ASAP please i'll give some extra points.
Answer:
y=3x
Step-by-step explanation:
y=3x
the line passes through the origin so when x=0, y=0
Which of the following types of numbers is irrational?
A.) a whole number
B.) fractions
C.) the number pi
D.) a decimal that terminates
Answer:
C
Step-by-step explanation:
the definition of an irrational number is an infinite decimal that has no repeating pattern. rational numbers can be converted into fractions.
A is incorrect because a whole number can be converted into a fraction.
ex: 1 is also 3/3
B is incorrect because the definition of a rational number is that it can be converted into a fraction.
D is incorrect because a terminating decimal can be made into a fraction.
ex: 4.5 is also 9/2
D)
Step-by-step explanation:A Irrational number is a decimal that terminates. I hope this helps! Please rate Brainiest!
-Aslina
PLEASE HELP ASAP!!!!!!!!!! YOU WILL GET BRAINLEST!!!!!!!!!!!!!!!!
The model represents an equation. What value of x makes the equation true?
A) 3/4
B) 9/2
C) −3/4
D) −9/2
Answer:
I am not completely sure I think it is A im not positive but I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
On the left, we have 7 -Xs and 7 1s. So, the left can be represented by the expression:
[tex]-7x+7[/tex]
On the right, we have 5 (positive) Xs and 16 1s. So, the right can be represented by the expression:
[tex]5x+16[/tex]
They are equal to each other. So:
[tex]-7x+7=5x+16[/tex]
Solve for x. Add 7x to both sides:
[tex]7=12x+16[/tex]
Subtract 16 from both sides:
[tex]-9=12x[/tex]
Divide both sides by 12:
[tex]x=-9/12[/tex]
Reduce:
[tex]x=-3/4[/tex]
So, our answer is C.
Stephanie has $250 in her account. She withdraws $50 on October 1st to pay the electric bill. Then she withdraws $125 on October 10th to pay the internet. What is the total amount of money she withdraws from her account?
I need help my mom is going to kill me
Answer:
x=8
m<FGH=32
m<HGI=32
m<FGI=64
Step-by-step explanation:
The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:
5x-8=6x-16
Then you will find x which is 8. After you find x just plug in x for one of the equations like so:
5(8)-8=_ or 6(8)-16=_
You only need to plug in x for one of the angles because they are congruent so you will get the same answer.
To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.
Some one help me please..?
Answer:
x = -18
Step-by-step explanation:
3 + -18 = -15
Answer:
the answer is d
Step-by-step explanation:
collect the like terms
A box Jelly fish travels at a rate of 6.5 feet per second. What is the distance after 5 seconds?
Answer:
32.5ft
Step-by-step explanation:
Answer:
32.5 feet per 5 seconds
Step-by-step explanation:
multiply 5 by 6.5 you get 32.5
what is the answer for 2(5/3+3/4)-4/3s
Newton has 10 more dimes than nickels. He has
twice the number of quarters than nickels. If he
has $6.20, how many of each coin does he have?
Given:
Newton has 10 more dimes than nickels.
He has twice the number of quarters than nickels.
Total amount he has = $6.20.
To find:
The number of each coin.
Solution:
Let the number of nickels be x.
Newton has 10 more dimes than nickels.
Dimes = x+10
He has twice the number of quarters than nickels.
Quarters = 2x
We know that, 1 nickel = $0.05, 1 dime = $0.10 and 1 quarter = $0.25.
Total amount he has is $6.20.
[tex]x\times 0.05+(x+10)\times 0.10+2x\times 0.25=6.20[/tex]
[tex]0.05x+0.10x+1+0.50x=6.20[/tex]
[tex]0.65x=6.20-1[/tex]
[tex]0.65x=5.20[/tex]
Divide both sides by 0.65.
[tex]x=\dfrac{5.20}{0.65}[/tex]
[tex]x=8[/tex]
Now,
Number of nickels = 8
Number of dimes = 8 + 10 = 18
Number of quarters = 2(8) = 16
Therefore, the number of nickels, dimes and quarters are 8, 18 and 16 respectively.
can you help? 6+(−4 3/4)+(−2 1/8)
Answer:
I believe it's -7/8
you have to make the fractions improper first with a common denominator and since -4 3/4 and -2 1/8 are negative and 6 is positive, you come out with -7/8
Please help, I'm stuck and really need this.
Answer:
r = 8
Step-by-step explanation:
To find the radius with only the area you do r = [tex]\sqrt{A/\pi }[/tex]
Since your area 64[tex]\pi[/tex] = 201.0619298 then 201.0619298/[tex]\pi[/tex] = 64
[tex]\sqrt{64}[/tex] = 8
Hope this helps!!
someone help me please please please I really need this
Answer:
Step-by-step explanation:
12
rs st tw rt rw sw
13
sr sw tr st tw
14
tr and tw
sr and st
I'll depend on you to add the proper markings on the answer.