Answer:
Jody needs to lose the third round by 6 points to win the game.
Step-by-step explanation:
The rule of the game is the person who scores closest to zero points after three rounds win.
Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.
So, total points for Robyn = 5-8+4=1
So, the magnitude of the closeness of Robyn's score from zero
=|1-0|=1
Jody scored 10 points in the first round and lost 4 points in the second round.
Let Jody score x point in the third round.
Total points for Jody= 10-4+x=6+x
So, the magnitude of the closeness of Jody's score from zero
=|6+x-0|=|6+x|
The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e
|6+x|<1
Case 1: If [tex]x\geq -6[/tex],
6+x<1
[tex]\Rightarrow x<-5[/tex], which is not possible for this case.
Case 2: If [tex]x\leq -6[/tex],
-(6+x)<1
[tex]\Rightarrow x+6>1[/tex]
[tex]\Rightarrow x>-5[/tex]
For this case [tex]x= -6[/tex] is the only possibility.
So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
Answer:
d+m=120
d=2m
Step-by-step explanation:
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six
Answer:
C
Step-by-step explanation:
2-(p*6)
minus=the difference of
(p*6)=p times 6
Fully written out: The difference of two and p times six
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
2÷5 × -4 what Is the answer please?
Answer:
-1 3/5
Step-by-step explanation:
2÷5 × -4
Work from left to right
2/5 * -4
-8/5
-1 3/5
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation:
What Is 2+4? I need to know.
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6! Hope this helps have a great night!!!!
Step-by-step explanation:
May I plz have brainliest?
Can someone tell this word please. Identify the vocabulary word that matches the picture.
Answer:
proably and acute angle
Step-by-step explanation:
acute angles are angles that are less than 90 degrees and the picture obviouly shows an angle that is less than 90
Write an equation for the line that passes through (2,5) and (6,7)
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Find the slope of the line first using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the two given points into this formula.
[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).
[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]Simplify the equation so it's easier to read.
[tex]y-5=\frac{1}{2} (x-2)[/tex]Distribute 1/2 inside the parentheses.
[tex]y-5=\frac{1}{2}x-1[/tex]Add 5 both sides of the equation.
[tex]y=\frac{1}{2}x+4[/tex]Answer:
The slope is the change in y over the change in x.
(7-5) / (6-2) = 2 / 4 = 1 / 2
In y = mx + b, we know y, m, and x. Now solve for b:
Let's use the point (2, 5).
5 = (1/2)(2) + b
5= 1 + b
b = 4
Now put it together:
y = (1/2)x + 4
Step-by-step explanation:
Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12
help pls ?? anyone ?? :(
7. yes
8. yes
9. no
10. no
What is the slope of the line?
I NEED HELPP?!
Answer:
Slope of a line = rise/run
Your answer:
m = 8/5
(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.
Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math
Answer:
Company B
Step-by-step explanation:
Given. That :
Company A:
Initial charge = $215
Charge per square foot = 0.50
Company B:
Initial charge = $100
Charge per square foot = 0.75
Which company if installing 400 square feet of carpet :
Company A:
Total bill:
$215 + 0.50(400) =$415
Company B:
Total bill:
$100 + 0.75(400) = $400
Hence, Company B will be a better option as the total cost is cheaper than company As cost.
simplify 3x(4x-5)+3 and its value for X = 3
Answer:
Step-by-step explanation:
3x ( 4x - 5 ) + 3
12x^2 - 15x + 3
12 × 3^2 - 15 × 3 + 3
12 × 9 - 45 + 3
= 108 - 45 + 3
= 66
Hope this helps
plz mark as brainliest!!!!!!
Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has
$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for
writing the check?
Answer:
she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store
Step-by-step explanation:
We are told she wrote a check to the grocery store for $156.00.
And that when she looked at her check register later that day, she had only $122.66.
This means she doesn't have sufficient balance for the grocery.
It means the bank will pay the overdraft and it attracts charges which may vary for different banks.
Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store
Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
Answer:
$216
Step by step
Explanation:
First we subtract $ 20 from $ 84 giving us a total of $ 64 and when we add that to $ 152 we get $ 216
.
Answer:
-60
Step-by-step explanation:
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
rrange the numbers in decreasing order.
a.
8.508
8.58
7.5
7.058
Answer:
8.58
8.508
7.5
7.058
Step-by-step explanation:
Answer:
8.58, 8.508, 7.5, 7.058
Step-by-step explanation:
Um, I think this means greatest to least.
8.58, 8.508, 7.5, 7.058
Look at the place values.
Find the x-intercept of the graph of y = -10x - 36
The x-intercept is_____
What is the range of the function graphed below?
Answer:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Step-by-step explanation:
Range of a Function
Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.
If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.
Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.
Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.
The first interval of the range is [-4,0)
Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).
The range of f is the union of both intervals:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Answer:
B
Step-by-step explanation:
solve 3(x-4)=16+5x show work
Answer:
hi… I think it's written that way
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
Evaluate the expression for z = 3.
z2
Answer:
6
Step-by-step explanation:
z=3
z2= 3*2 = 6
Good luck
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
-140 = x
Step-by-step explanation:
Answer:
-140 =x
Step-by-step explanation:
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
During this basketball season trey took 250 shots and made 72 shots what was his shooting percent
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
19.04
Step-by-step explanation:
convert 170% into decimal form number:
1.7
Then multiply by 11.2:
1.7 × 11.2 = 19.04
Pls consider marking my answer as Brainliest! It would mean a lot!