Answer:
5 chairs at each table with 3 left
Step-by-step explanation:
5×4 is 20 remainder of 3
Aisha and Carolina each sketch a graph of the linear equation y=− 3 4x+2. Aisha uses the equation y= −3 4x+2 to sketch the graph, and Carolina uses the equation y= 3 −4x+2. a. Explain how this leads them to use different steps to construct their graphs. b. Will the two graphs look the same? Explain. a. Choose the correct answer below.
A linear function is used to represent the equation of a straight line.
Aisha's graph has a rise of -3 and a run of 4Carolina's graph has a rise of 3 and a run of -4Both graphs would look the sameGiven
[tex]y = -\frac 34x + 2[/tex] --- Aisha
[tex]y = \frac{3}{-4}x + 2[/tex] --- Carolina
(a) How they use different step
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m \to[/tex] slope
[tex]b \to[/tex] y intercept
and
[tex]m = \frac{rise}{run}[/tex]
For Aisha's graph;
[tex]m = \frac{-3}{4}[/tex]
By comparison:
[tex]rise = -3[/tex]
[tex]run = 4[/tex]
This means that Aisha's graph has a rise of -3 and a run of 4
i.e. the other point used to calculate the slope is gotten by moving 3 units down and 4 units left of the y-intercept.
For Carolina's graph;
[tex]n = \frac{3}{-4}[/tex]
By comparison:
[tex]rise = 3[/tex]
[tex]run = -4[/tex]
This means that Carolina's graph has a rise of 3 and a run of -4
i.e. the other point used to calculate the slope is gotten by moving 3 units up and 4 units right of the y-intercept.
(b) Will the graph look the same?
Recall that:
[tex]y = mx + b[/tex]
[tex]m \to[/tex] slope
[tex]b \to[/tex] y intercept
For Aisha's graph
[tex]y = -\frac 34x + 2[/tex]
The slope is:
[tex]m = -\frac{3}{4}[/tex]
[tex]m = -0.75[/tex]
The y intercept is:
[tex]b = 2[/tex]
For Carolina's graph
[tex]y = \frac{3}{-4}x + 2[/tex]
The slope is:
[tex]m = \frac{3}{-4}[/tex]
[tex]m = -0.75[/tex]
The y intercept is:
[tex]b = 2[/tex]
Both equations have the same slope and the same y-intercept.
Hence, the graphs will look the same
See attachment for the graphs of their equations.
Read more about linear functions at:
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Help! Signs of expression What is the sign of a . b?
6
4
2
0
-2
-6
8
Choose 1 answer:
Positive
Negative
Zero
Answer:
6-positive
4-positive
2-positive
0-zero
-2-negative
-6-negative
8-positive
Step-by-step explanation:
whats the percent increase from $6 to $66
Answer:
6 x 1100% = $66
Step-by-step explanation:
Someone help plz right answer gets brainliest
Answer:
CGIA
Step-by-step explanation:
maths
10 1/9 + 5 14/15 please help
Answer:
16 2/45
Step-by-step explanation:
Answer:
16 2/45 aka 722/45 aka 16.0444...
Step-by-step explanation:
Hope this helped! :)
all of the following represents the same ratio except 4:3 4/3 or 3 to 4
Answer:
3 to 4
Step-by-step explanation:
cause 4:3 can be written as 4/3 or 4 to 3
but 3 to 4 is written as 3:4 or 3/4
Answer:
3 to 4
Step-by-step explanation:
All of the other ratios are 4 to 3.
Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year?
Answer:
399.37
Step-by-step explanation:
multiply the amount each week by the amount of weeks to get the answer :)
is x=-2 linear or nonlinear
Answer:
non linear
Step-by-step explanation:
Answer: I'd say linear
Step-by-step explanation:Because it is a straight line vertically on the x-axis -2
Molly rewrote the equation as shown:
-50 + 11 = 8 - 3d
-5d + 11 + 3d = 8 - 30 + 3d
Which property did she use to rewrite the equation?
O addition property of equality
o distributive property
O multiplication property of equality
O substitution property
Answer:
addition property of equality
Rob has a collection of 800 baseball cards. 30% of the cards feature pitchers. 42% of the cards feature infielders. The remaining cards feature outfielders. How many cards in Rob's collection feature outfielders? Can I please get step by step explanation
Answer:224
Step-by-step explanation:
Tina worked 5 hours and earned $100. What would happen to her wages earned if she worked for 10 hours? Explain your reasoning as it relates to direct variation.
Answer:
She would earn $200 for working 10 hours
Step-by-step explanation:
100/5= $20 per hour
10hr multiplied by $20= $200
Answer:
$200 (read below for reasoning)
Step-by-step explanation:
Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!
Sara is ordering a circular rug for her living room. The area of the rug is 157 feet squared. What is the radius of the rug to the nearest tenth of a foot?
Answer:
157/ pi= 49.97 which is r squared, so the square root of 49.97= 7.06 or 7.1
so the radius of the rug is 7.1 ft
Step-by-step explanation:
Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning, Priya and Han make oatmeal for the group. The instructions for a large batch say, "Bring 15 cups of water to a boil, and then add 6 cups of oats." Priya says, "The ratio of the cups of oats to the cups of water is . That's 0.4 cups of oats per cup of water." Han says, "The ratio of the cups of water to the cups of oats is. That's 2.5 cups of water per cup of oats." Finish the table below.
Answer:
Step-by-step explanation:
Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method
Answer:
Anna has $1460
Betty has $1060
Step-by-step explanation:
let Anna's money be x
and Betty's money be y
If Anna gave Betty $200, then they would have the same amount of money
Anna's money will reduce by 200
x=x-200
Betty's money will increase by 200
y= y+200
if they have the same amount of money, the difference will be zero
x-200=y+200
x-200-y-200=0
x-y-400=0
x-y=400--------------1
this means that Anna has $400 more than Betty
if Betty gave Anna $220, Anna would then have twice as much as Betty.
Betty's money will reduce by 220
y=y-220
Anna's money will increase by 220
x=x+220
Anna's money will double that of Betty's
x+220=2(y-220)
x+220= 2y-440
x=2y-440-220
x=2y-660--------------------2
put x= 2y-660 in eqn 1
(2y-660)-y=400-------------------------1
2y-y=400+660
y= 1060
so Betty has $1060
put y= 1060 in eqn 1
x-y=400
x-1060=400
x=400+1060
x=1460
so Anna has $1460
LINEAR EQUATIONS!
7(6-y)=-3(y-2)
Answer:
y=9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variables
move variable to left side and change its sign
42-7y+3y=6 collect like terms
-7y +3y=6-42
-4y=6-42
-4y=-36 divide both sides of the equation by -4
y=9
hope that helps :)
Kevin is 3 years older than twice Jane's age. The sum of their ages is 39. How old is each person?
Answer:
39 - 3 = 36
36/3 = 12
j = 12
Step-by-step explanation:
Will give brainlest and 25 points. By what percnet should Jack increase the number X to get the number 9/4 · X? Plllllsss help me.
9514 1404 393
Answer:
125%
Step-by-step explanation:
(9/4)X = (1 +5/4)X = (1 +1.25)X = X + 125%·X
Jack needs to increase X by 125% to get 9/4X.
_____
Example:
X = 100, 9/4X = 225
125%X = 125, so X + 125%X = 100 +125 = 225 . . . as required.
Solve the equation for x:
6 - x = 18
Answer:
Step-by-step explanation:
-x=18-6
-x=12
x=-12
What is 13 in A decimal?
Answer:
13.00 you can keep going if you want to With the zeros it won’t stop
Step-by-step explanation:
Tom has completed 26 deliveries so far this week. He needs to make 65 deliveries for the week.What percentage of his deliveries has Tom completed
A recipe that makes 4 dozen cookies calls for 2 eggs. Using this same recipe, how many dozens of cookies can be made with 7 eggs?
Answer:
14 dozen cookies can be made with 7 eggs
Step-by-step explanation:
I first saw that 2 goes into 7 three times (2*3= 6 eggs).
then I multiplied 4 dozen also by 3 to get 144 cookies (12 dozen).
since there was still one egg left I divided the 4 by a half and got 2 dozen.
2 dozen + 12 dozen = 14 dozen (168 cookies)
I'm bad at explaining sorry, and if I got the answer wrong I'm sorry as well
Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2
ASAP!!!!!!!
Answer:
B,C&F
Step-by-step explanation:
-2x>-4
multiplied by -1 gives 2x<4
And you devide both sides by 2 you get x<2
The numbers smaller than 2 in your options are 1,1.5 and -2
PLEASE HELP im to stupid
Answer:
line BC, 4 units right, and down 1 unit!
Hope This Helps!
Answer:
1. BC
2. 4
3. 1
Step-by-step explanation:
Please help!
What is the probability that the arrow will land on a number that is divisible by 3 ir Brian spins it one time?
Answer:
%25
Step-by-step explanation:
WHAT IS 0-0 NEED HELP ASAPPPPP ROCKEY PLS WILL MAKR BRAINLIEST
Answer: its 0 right or is it supposed to be a face or sumthin
Step-by-step explanation:
La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?
what is 12 = -4m ?
There are 18 people on a basketball team, and the coach needs to choose 5 to put into
a game. How many different possible ways can the coach choose a team of 5 if each
person has an equal chance of being selected?
Answer:
He can choose by each players skill and depending on how long the game is he can sub them out throughout the game
Step-by-step explanation:
The total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is, 8568 or C(18, 5)
What are permutation and combination?A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.
We have 18 people on a basketball team.
The coach needs to choose 5 to put into a game.
So the total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is:
[tex]= \rm _{18}^{}\textrm{C}_5[/tex]
[tex]= \dfrac{18!}{5!\times 13!}[/tex]
= 8568
Thus, the total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is, 8568 or C(18, 5)
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Factorise completely
a) ( 2 + 2 + 2) a) 9a(x – 3b ) - 4 (x – 3b)
b) 5a(2b – 3 ) - 4 (2b – 3)
c) x( 2h-k )+ 3y ( k – 2h )
Answer:
a) 9a(x - 3b) - 4(x - 3b) = (9a - 4)(x - 3b)
b) 5a(2b - 3) - 4(2b - 3) = (5a - 4)(2b - 3)
c) x(2h - k) + 3y(k - 2h)
= x(2h - k) - 3y(2h - k)
= (x - 3y)(2h - k)
Step-by-step explanation:
Answer:
a) (9a-4)(x-3b)
b) (5a-4)(2b-3)
c) (x-3y)(2h-k)
Step-by-step explanation:
9a(x – 3b ) - 4 (x – 3b) = (9a-4)(x-3b)
Since both 9a and -4 are multiplied by (x-3b), they can be put in a bracket too.
5a(2b – 3 ) - 4 (2b – 3) = (5a-4)(2b-3)
Since both 5a and -4 are multiplied by (2b-3), they can be put in a bracket too.
x( 2h-k )+ 3y ( k – 2h ) = x(2h-k) - 3y (-k + 2h)
We can multiply + 3y ( k – 2h ) by (-1) to switch up the arithmetic operations.
x(2h-k) - 3y (-k + 2h) = x(2h-k) -3y(2h-k)
Since both x and -3y are multiplied by (2h-k), they can be put in a bracket too.
x(2h-k) -3y(2h-k) = (x-3y)(2h-k)
Gary has 23 quarters in his bank he saves 4 more quarters each week what will the total value of Gary’s bank be in four weeks??
Answer:
39 quarters, or 9.75 dollars.
Step-by-step explanation:
We can turn this into an algebra equation.
23 + 4x If x = 4
x stands for the number of weeks.
After solving that, we get 39 quarters.
To turn it into dollars, we divide it by 4 (because 4 quarters is equal to one dollar) and then we get 9 3/4. 3/4 dollars is just .75 cents, so the answer is 9.75 dollars.
Garry will have 39 quarters or $9.75 in his bank as per linear equation in 4 weeks.
What is a linear equation?A linear equation is an equation where the variable has the highest power of one.
Give, Garry has 23 quarters.
He saves 4 quarters each week for the next weeks.
Therefore, after 4 weeks Garry will save a total of (4 × 4) quarters = 16 quarters.
Hence, after 4 weeks Garry will have in his bank account is (23 + 16) quarters = 39 quarters = $9.75.
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