How many more games will it take until tom and will have scored the same number of points
Answers
Answer:
Both players will need to play 7 more games to have the same score.
Step-by-step explanation:
Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.
We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.
Let's call x to the number of games that both players will play. Will will have a number of points equal to:
W = 483 + 18x
And Tom will have:
T = 462 + 21x
For both number of games to be equal, the equation to solve is:
483 + 18x= 462 + 21x
Move 18x to the right side and 462 to the left side:
483 - 462 = 21x - 18x
Operating:
21 = 3x
x = 21 / 3 = 7
Thus, both players will need to play 7 more games to have the same score.
Related Questions
3 less than one fourth of a number
Answers
Answer:
one fourth a number minus three
¼x-3
Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?
Answers
Answer:
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
Step-by-step explanation:
Total amount with Tamara = $30,000
Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.
She wants to invest no less than $8,000 into corporate bonds.
So, the inequality is [tex]8000\leq x[/tex]
Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.
[tex]3y\leq x[/tex]
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
5(x-6)+3x=.75(2x-8)
solve.
Answers
Answer:
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
5x - 30 + 3x = 1.5x - 6
6.5x = 24
x = 3.7
Simplify (-8a-5a-10c)-(2a+10b+20c)
Answers
Answer:
-15a-10b-30c
Step-by-step explanation:
(-8a-5a-10c)-(2a+10b+20c)
(-13a-10c)-(2a+10b+20c)
(-13a-10c)-2a-10b-20c
-15a-10b-30c
Answer:
-15a-30c-10b
Step-by-step explanation:
(-8a-5a-10c)-(2a+10b+20c)
(-13a-10c)-2a-10b-20c
-13a-10c-2a-10b-20c
-15a-30c-10b
You can tell if there a proportional relationship just by looking at an equation true or false
Answers
Answer:
True.
Step-by-step explanation:
Look at the ratio of y to x. To see if its a proportional relationship, just put a 0 for x and then proceed to solve for y.
True...
I think
-3/5 divided by -1 1/10
Answers
Answer:
o.54545454545
Step-by-step explanation:
On calculater showed this answer
A sports arena is in the shape of a rectangle. The arena has a length of (x − 3) feet and a width of (2x + 4) feet. Which of the following represents the area of the arena?
Answers
Answer:
2x² - 2x - 12
(x-3)(2x + 4)
expand brackets:
2x² + 4x - 6x - 12
then simplify:
2x² - 2x - 12
hope this helps
brainliest please?
x
Answer:
2x² - 2x - 12 Step-by-step explanation:
Write an arithmetic sequence that has a common difference of -3 and whose
fourth term is 17. *
Your answer
Answers
Answer:
You can put this solution on YOUR website! Write the next term in the sequence. Then write a rule for the nth term. -5, 10, -15, 20,
Step-by-step explanation:
If it weren't for the signs, we won't be able to get through it
1. A friend lends you $400 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?
Answers
Answer
a = 200 + 0.5 (200) = $210
Step-by-step explanation:
On Saturday, 15,598 people attended a music festival. How does the value represented by the 5 in the hundreds place compare with the value of the 5 in the thousands place? A:The value in the hundreds place is 10 times as much as the value in the thousands place. B:The value in the hundreds place is one-tenth as much as the value in the thousands place. C:The value in the hundreds place is 100 times as much as the value in the thousands place.D: The value in the hundreds place is one one-hundredth as much as the value in the thousands place.
Answers
Answer:
B
Step-by-step explanation:
5 in the hundreds place equals 500, but put in the thousands place equals 5,000 and that's 10 times larger than 500. Or as how answer B puts it, 500 is one-tenth as much as 5,000. Either way, it's the same thing
please hurry i need these fast
Answers
Answer:
Is option 1 hope this helps
How many baby elephants were weighed?
Please help as soon as possible.
Answers
Answer:
just remember that each baby elephant weight 3/8 of a ton
and all together weight 3/4 of a ton
so how many baby elephants will be ,let be x a unknown number of them
so
x*(3/8) =3/4
because multiplying the number of baby elephants with their body weight gives the total weight of all baby elephants.
so
x=(3/4)*(8/4)=2
the number of baby elephants is 2
Help Me Please. ? And Thank You
Answers
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
Is the answer True or false
Answers
Answer:
true
Step-by-step explanation:
true
What is the quotient of 3.496x10^9 x 3.8 x 10^5 In scientific nation ? Please help
Answers
3496000000
380000
2Step-by-step explanation:
find the value of each missing variable? y=
Answers
Answer:
The symbol stands for an unknown number, the symbol y stands for an unknown number and the symbol 2 stands for a known number, two. In algebra when two symbols that stand for a number are placed beside each other the operation between them is taken to be multiplication.
Step-by-step explanation:
find the equation of this line
simplify the fractions
Answers
Answer:
top dot 1 1/4
bottom dot -1 1/2
Step-by-step explanation:
See I'm not sure if it was those dots on the picture
Gabi has 7 bags of apples with x apples each. a. Write an expression to represent the total number of apples.
Answers
Answer:
7x
Step-by-step explanation:
Describe two different ways to use transformations to change f(x) = x into g(x)=-3x-12
Answers
Answer:
See below
Step-by-step explanation:
GivenFunction f(x) = xTransformation ways1. Reflection by a factor of (-3) and vertical shift down -12 units
f(x) = x → (-3) ⇒ h(x) = -3x → (-12) ⇒ g(x) = -3x - 122. Vertical shift up by 4 units and reflection by a factor of (-3)
f(x) = x → (+4) ⇒ h(x) = x + 4 → (-3) ⇒ g(x) = -3x - 12What is −5/6÷9/10? DO YOU LIKE CHEESE?
−27/25
−4/3
−25/27
−3/4
Answers
Answer:
− 25 /27
Step-by-step explanation:
Answer:
-25/27
Step-by-step explanation:
get fraction calculator plus very helpful on Android and Apple
what's 2 + 1 ? this thing is making me type 20 words
Answers
Answer:
3
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 3
Step-by-step explanation:
I typed it into my calculator and it came back as 3 so...
Solve the equation for x
Answers
Answer:
There is no answer for x
Step-by-step explanation:
What does (X^2)^3 equal
Answers
Your answer is X^6
Which pair of angles shares ray a f as a common side?
Answers
Answer:
it's the last one.
Step-by-step explanation:
both of them have ÀF as part of their angle.
Answer:
Step-by-step explanation:
it would the the second one
whats 5 divided by 10??????? sim
Answers
Answer:
0.5
Step-by-step explanation:
I feel nice today, Here is 100 points
Answers
Answer:
oh well thanks
Step-by-step explanation:
The graph of the SLOPES of the red function has which color?
Answers
Answer: Orange.
Step-by-step explanation:
The graph of the slopes of the red function is equal to the derivate of the red function.
First, let's analyze the red function (from left to right).
First we can see that the red function is positive, and it decreases (so we must have a negative slope here).
Then we can see a little inflection point where the red function seems to be constant for a bit (here the slope must become zero for a little bit).
Then the red function keeps decreasing (so the slope is negative again).
Then the graph of the slope is:
Negative, then it increases to zero, and it decreases again.
The only graph that does this is the orange one, so the answer is orange.
Only right answers get five stars and a thanks.
Answers
Answer:
y = 5/4x + 9
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
m = 5/4
Random point (-8, -1)
y = 5/4x + b
Step 2: Find y-intercept b
-1 = 5/4(-8) + b
-1 = -10 + b
b = 9
Step 3: Write linear equation
y = 5/4x + 9
-2.30 as a fraction....
Answers
Answer:
Step-by-step explanation:
3 5/7
Answer: 23/10 or 2 3/10
Step-by-step explanation:
I used a calculator
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8, 9)
Line 2: (2, - 4), (11, - 6)
The slope of line 1 is.
The slope of line 2 is.
The two lines are...
Answers
use
[tex]y - y_{1} = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \times (x_{2} - x_{1})[/tex]
slope is
[tex]m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\[/tex]
[tex]if \: \: m_{1} = m_{2} \: \: lines \: are \: parallel \\ [/tex]
[tex]if\:m_{1} = - \frac{1}{m_{2}} \\ lines \: are \: perpendicular \: to \: each \: other[/tex]
Parallel lines have the same slope
The slope of line 1 is -2/9The slope of line 2 is -2/9The two lines are parallelThe slope of a line is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
The slope of line 1 is:
[tex]\mathbf{m_1 = \frac{9 - 5}{-8 - 10}}[/tex]
[tex]\mathbf{m_1 = \frac{4}{-18}}[/tex]
[tex]\mathbf{m_1 = -\frac{2}{9}}[/tex]
Hence, the slope of line 1 is -2/9
The slope of line 2 is:
[tex]\mathbf{m_2 = \frac{-6 - -4}{11 - 2}}[/tex]
[tex]\mathbf{m_2 = \frac{-2}{9}}[/tex]
[tex]\mathbf{m_2 = -\frac{2}{9}}[/tex]
Hence, the slope of line 2 is -2/9
The lines have the same slope.
Hence, the two lines are parallel
Read more about slopes of lines at:
https://brainly.com/question/16114771