Answer:
[tex]|x - y| > 10[/tex] ---- Nita wins
[tex]|x - y| < 10[/tex] --- Eric wins
Step-by-step explanation:
The complete instruction is to determine the range at which Erik or Nita wins.
To start with, let
[tex]x \to[/tex] Erik's score
[tex]y \to[/tex] Nita's score
If the difference is greater than 10, the Nita wins.
This implies that:
[tex]|x - y| > 10[/tex] ---- Nita
If less than 10, then Eric wins
This implies that:
[tex]|x - y| < 10[/tex] --- Eric wins
Now, assume that Nita chose 5.
For Nita to win, we have:
[tex]|x - y| > 10[/tex]
[tex]|x - 5| > 10[/tex]
Remove the absolute symbol
[tex]-10 > x - 5 > 10[/tex]
Split
[tex]-10 > x - 5\ or\ x - 5 > 10[/tex]
Solve for x
[tex]5 -10 > x \ or\ x > 10 + 5[/tex]
[tex]-5> x \ or\ x > 15[/tex]
Rewrite as:
[tex]x< -5 \ or\ x > 15[/tex]
x cannot be negative.
So:
[tex]x > 15[/tex]
x cannot exceed 20.
So:
[tex]15 < x \le 20[/tex]
4/5+ 2/3 =? pls help i'm.in 5th grade
Answer:
2/15
Step-by-step explanation:
Please help me with my math guys really need it
Answer:
The answers are given in the pictures. One of them was an opinionated question, so you can just put whatever you want there. I put my opinion just in case.
Step-by-step explanation:
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 3.5%. Non money is added or withdrawn from the account. How much will be in the account after 5 years? How much will be in the account after 20 years?
Answer:
5 years : 1781.52
20 years: 2984.68
You spin a spinner that has 8 equal-sized sections numbered 1-8. Find each probability
Answer:
unlikely
Step-by-step explanation:
Answer:
1 to 7
Step-by-step explanation:
The probability of each landing on any of the numbers is 1 to 7
The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?
Your answer would be option three, y = 1/3 x -9 :)
At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?
Pleas help!
Answer:
72 hot chocolates
Step-by-step explanation:
2h + 3g=306 equation 1 h=hot chocolate g=Gatorade
h + g =126. equation 2
h=126-g isolate h in equation 2
2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1
252-2g+3g=306
g=54
solve for h:
h + g = 126
h+54=126
h=72
check answer:
2h + 3g=306
2(72) +3(54)=306
144+162=306
306=306
I need help with this question
Answer:
Step-by-step explanation:
i believe x=28?
If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x find f(x)-g(x)
Answer:
[tex]2 ( \sqrt{x} - {x}^{3} )[/tex]
Step-by-step explanation:
[tex] \sqrt{x} - x - (2 {x}^{3} - \sqrt{x} - x) [/tex]
[tex] \sqrt{x} - x - 2 {x}^{3} + \sqrt{x} + x[/tex]
[tex]2( \sqrt{x} - {x}^{3} )[/tex]
How many gallons are in 48 pints?
Answer:
6
Step-by-step explanation:
Answer:
There would be 6 gallons.
Step-by-step explanation:
Within a gallon, there are 8 pints. With this in mind, create a ratio of gallons to pints to solve the problem
Gallons : Pints
1 : 8
If we were to have 48 pints, there would therefore be 6 gallons, as 48/6 --> 8
Gallons : Pints
6 : 48
What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Use numbers 1,2,3,4,5,6
Please help I will give 60 points.
Answer
:A(2,2) _scale factor ½--A'(1,1)
B(4,6)_scale factor ½--B'(2,3)
C(6,2)_scale factor ½--C'(3,1)
is a required coordinate
Why are there so many bots on here?
Answer:
Not sure, It's getting kinda annoying ngl
Step-by-step explanation:
The perimeter of a semicircle is 15.42 inches. What is the semicircle's diameter?
Answer:
5.998
Simplified: 6
Step-by-step explanation:
difference between the place values of 2 is in 4242
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
4242
2 = 200 ( 2 is in hundred's place )
4242
2 = 2 ( one's place )
Difference = ?
[tex] = 200 - 2 \\ = 198[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
100 POINTS What is the volume of this cone? Use 3.14 for N
Answer:
D. 215.5
Step-by-step explanation:
The formula for this equation is V= 3.14 x [tex]6^{2}[/tex] x 5.72 ÷ 3
Plug all of that into your calculator and you should get 215.5296.
From here just round to the nearest tenth and you'll be left with answer D. 215.5
Answer:
68.64pi or 215.64
Step-by-step explanation:
So lets go over the formula for volume of a cone.(note if needed for future problems, this can also be used for pyramid.)
The formula is:
r^2*h*pi*1/3
Or:
[tex]\frac{r^2*h*\pi }{3}[/tex]
We know that the radius is 6.
We also know that 5.72 is height.
Lets plug these in:
[tex]\frac{6^2*5.72*pi}{3}[/tex]
Now square the 6.
[tex]\frac{36*5.72*pi}{3}[/tex]
Now multiply the 36 by 5.72.
[tex]\frac{205.92*pi}{3}[/tex]
Combine the 205.92 and pi.
[tex]\frac{205.92\pi }{3}[/tex]
Finally, divide by the 3.
[tex]68.64pi[/tex]
This is your answer!
Hope this helps! :D
Hows your day doing this is not a thing for math but just wandering
PLEASE HELP ME PLEASE what is the answer besides 3
Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units
Answer:
C, 9+ the square root of 41
Step-by-step explanation:
got it right on edge :)
Find the x-intercept and y-intercept of the line −2x − 2y = −2. Use the intercepts to graph the equation.
Answer:
Step-by-step explanation:
The x-intercept is 1, the y-intercept is 1. Convert it to slope-intercept form, then plug in 0 for y to find the x-intercept.
NEED HELP FROM SOMEONE SMART!!! A trapezoid's area can be calculated by the formula A = {(b + b2)h, where A stands for area, b, for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below.
======================================================
Work Shown:
b1 = 14 and b2 = 6 are the two parallel bases
h = 9 is the height
A = area of trapezoid
A = h*(b1+b2)/2
A = 9*(14+6)/2
A = 9*20/2
A = 9*10
A = 90 square meters
Convert 15L 25ml into litres
Answer:
15.025 L
Step-by-step explanation:
25 mL = 25 ml * 1 L/1000 mL = 0.025 L
15 L + 0.025 L = 15.025 L
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Answer:
Y=2x+4
Step-by-step explanation:
Y=Mx+b is the slope intercept formula
subtract 2x so you get -y=-2x-4. Then divide everything by-1 .
What is the volume of a cylinder of a radius if 12cm and height 8cm
Answer:
V≈3619.11cm³
Step-by-step explanation:
Answer:
3619.11 cm³
Step-by-step explanation:
V = πr²h
π · 12² · 8
3619.11 cm³
PLEASE HELP ILL DO ANYTHING
Answer:
i took this test along time ago 3,1,1
find the rational number halfway between 1/5 and 1/6
Can you construct a triangle with side lengths of 1 meter, 7 meters, and 8 meters?
Yes or no and explain
Answer:
No.
Step-by-step explanation:
No.
Each side of a triangle must have a length between the difference and the sum of the lengths of the other two sides.
Let's look at the sum and difference of lengths of 2 sides.
Side with length 1 and side with length 7; third side with length 8
sum of lengths of first two sides = 1 + 7 = 8
difference = 7 - 1 = 6
The third side would have to have a length between 6 and 8. The third side has a length of 8. For a triangle, the third side must be between the sum and difference. Here, the third side is equal to the sum, so there is no triangle.
As soon as one side does not work, there is no triangle, and you don't need to check the sums and differences of the other two sets of two sides.
What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?
Answer:
B.
Step-by-step explanation:
First find the lengths of the DE and DG
DG=
[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]
DE=
[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]
[tex] \sqrt{17} [/tex]
Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides
[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]
Determine the Surface area of the box (Show work)
Answer:
Step-by-step explanation:
Ok. If this is surface area we will have to multiply all the areas together. So, 12 x 8 x 2 = 192. Your answer will be 192.
An equation is shown below: 1 over 2 multiplied by x plus 3 over 2 equals 2 to the power of x What is the solution to the equation? (4 points) x = 1 x = 2 x = 4 x = 8
Answer: x = 1!
Step-by-step explanation:
There is an image below. Is ThIs CoRrEcT? If it's wrong, what is it?
If there were 30 questions on a test, and John got 24 of the correct, what is the percentage of the number of questions John got correct?
Answer: he got 80/100 or 80% right
Step-by-step explanation:
24/30 = 12/15
12/15 as a percent:
100/15 = 6.66666666666667
12 x 6.66666666667
15 x 6.66666666667
= 80/100 or 80%