Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
Plus in the coordinates
-1 = -2/3(-3) + b
negative times negative = positive
-2/3 * -3 = 2
-1 = 2 +b
Use inverse operations
-2 --2
-3 = b
y = -2/3x - 3
Answer:
y = -2/3 x - 3
Step-by-step explanation:
since you have a point and a slope, you can use point - slope form
[tex]y - y_{1} = m (x - x_{1} )[/tex] plug in the point as [tex](x_{1}, y_{1})[/tex] and the slope as my - (-1) = -2/3(x - (-3)) change two negatives into positivey + 1 = -2/3 (x+3) distribute the -2/3y + 1 = -2/3x - 2 subtract 1 from both sidesy = -2/3 x -3Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w
Answer:
The original price of the food items was 24.
4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.
Answer: 2 prices
Step-by-step explanation:
Price per play = $0.50
Total amount incurred by Gina in playing =$4
Therefore, total games played :
$4 ÷ $0.5 = 8 games.
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
Probability of winning:
P(WIN) = ( required outcome / Total possible outcome)
P(win) = 3/12 = 1/4
Therefore, the number of prices she can expect to win is (1/4) × number of games (8)
(1/4) × (8) = 2
Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
Sasha is solving a multi-step equation. Her first step is shown below.
Equation: 3. - 8- 10x = 3(2x +3)
Step 1: 3 -- 10x - 8 = 6x + 9
Which properties did Sasha use to get to Step 1? Select all that apply.
addition property of equality
associative property of addition
commutative property of addition
multiplication property of equality
distributive property of multiplication over addition
Answer:
On the left side, she used commutative property
On the right side, she used distributive property
Step-by-step explanation:
If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?
Answer:
Step-by-step explanation:
First, calculate the volume of the first cylinder
V= pi * r^2 * h
= pi * r^2 * 9 = 9 pi r^2
Volume of the second cylinder
V = pi * (2r)^2 * 9 = 36 pi r^2
the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4
The number of cylinders that can be filled is given by the equation A = 4
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be V₁
The radius of cylinder 1 = r
The height of the cylinder 1 = 9 inches
Let the volume of the second cylinder be V₂
The radius of cylinder 1 = 2r
The height of the cylinder 1 = 9 inches
Now , the volume of cylinder 1 is V₁ = πr²h
Substituting the values in the equation , we get
V₁ = 9πr²
Now , the volume of cylinder 2 is V₂ = πr²h
Substituting the values in the equation , we get
V₂ = 9π ( 2r )²
V₂ = 36πr²
And , the number of cylinders that can be filled is A = V₂ / V₁
On simplifying the equation , we get
The number of cylinders that can be filled is A = 36πr²/9πr²
The number of cylinders that can be filled is A = 4 cylinders
Hence , the number of cylinders is 4
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Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a
Answer: B, C and E
Step-by-step explanation:
The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36
Answer:
35 rabbits
Step-by-step explanation:
hens : rabbits : total
3 : 5 : 3+5
3 : 5 : 8
We have 56 total animals
56/8 = 7
Multiply each term by 7
hens : rabbits : total
3*7 : 5*7 : 8*7
21 : 35 : 56
There are 21 hens and 35 rabbits
The absolute value of -1/4 is
Answer: 1/4
Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.
If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible
Answer:
likely or probable
Step-by-step explanation:
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Please help me I really need your help please help me
Answer:
Step-by-step explanation:
Q8) Diameter = 14 in
r = 14/2 = 7 in
Area of missing chunk = πr²/4
= (3.14 * 7 * 7)/4
=1/4(3.14*7*7)
option 4
Q9) 90 degrees
Q10) Each minute = 6°
In the figure shown, it is 15 minutes
= 15* 6 = 90 degrees
Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:3080”
Step-by-step explanation:
A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?
Answer:
A bag contains:
8 blue balls.
7 green balls.
5 red balls.
The probability that the ball is red would be:
P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25
Hope this helps!
:)
Answer:
0.25
Step-by-step explanation:
Total balls: 8 + 7 + 5 = 20
Red balls: 5
P(red) = 5/20 = 0.25
Solve the following:
A) a/5+3=8
B) 3b/7-1=5
Answer:
A)25
B) 14
Step-by-step explanation:
A) a/5 + 3 = 8
a/5 = 8 - 3
a = 5 x 5
a = 25
B) 3b/7 -1 =5
3b/7 = 5+1
3b = 6 x 7
b = 42/3
b = 14
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer
Step-by-step explanation:
2 Buildings : 3 Floors Each : 16 Windows per Floor
Multiply 2 and 3 to get the total amount of floors.
2 times 3 equals 6
Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.
6 times 16 equals 96
Therefore, there are 96 windows in total or 48 windows per building
Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.
Will mark Brainliest please answer
Answer:
A. (-1,-2)
Step-by-step explanation:
hope this helps :) and can i ask is that a leg next to the screen?
•
Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.
How could you quickly figure out how many baskets of 3 apples you could create?
Answer:
71 baskets of 3 apples.
Step-by-step explanation:
From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.
From each of the 5 baskets you can get 9/3 = 3 baskets of 3.
Therefore:-
From the 28 baskets you can create 28 * 2 = 56 baskets of 3.
From the 5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.
Total 15 + 56 = 71.
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3
Answer:
They do have the same solution
Step-by-step explanation:
In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).
plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch
Answer:
r = 12 inches
Step-by-step explanation:
In this question, we are asked to calculate the length of the radius of the circle.
This is accessible from using the length of an arc.
Mathematically, the length of an arc can be calculated using the formula;
Theta/360 * 2 * pi * r
Where Theta is the angle subtended at the center and r is the radius of he circle.
According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)
Thus we have;
9 pi = 135/360 * 2 * pi * r
divide through by pi
9 = 270r/360
360 * 9 = 270r
r = (360 * 9)/270
r = 12 inches
Answer:
b
Step-by-step explanation:
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Answer:
the answer you are looking for is b=7
Fourteen subtracted from the product of a number and -3 is 25
Answer:
5.5 is the number.
Step-by-step explanation:
14-(-2x)=25
Solve the equation.
2x=11
x=5.5
The value of number is -13.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Fourteen subtracted from the product of a number and -3 is 25
let the number be x
product of a number and -3= -3x
and, Fourteen subtracted from the product of a number and -3
= -3x- 14
So, -3x -14 = 25
-3x = 25+14
-3x = 39
x= -13
Hence, the value of x is -13.
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What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
Answer:
68%
Step-by-step explanation:
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .
The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.
What is the solution to the system of equations?
O (4,3)
O 1-3.4)
Answer:
(3, - 4) is the solution to the system of equations.
Step-by-step explanation:
1. Rewrite one of the equations so it eighter starts with y= or it starts with x=
Here the easy way is to write X+y=-1 in the form x=
X= - y - 1
2. Substitute X= - y - 1 in the other equation 5X+3y=3:
5X+3y=3
X= - y - 1
5(- y - 1)+3y=3
-5y -5 +3y = 3
-2y = 3 +5
2y = -8
y = - 4
3. Now substitute this value y = - 4 in X= - y - 1
X= - (y) - 1
y = - 4
X= - (- 4) - 1
X = 4 - 1
X =3
4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.
can't figure this out.. please help if you can.
Answer:
1725 square feet
Step-by-step explanation:
[tex]area \: of \: yard = \frac{1}{2} (50 + 65) \times 30 \\ = 115 \times 15 \\ = 1725 \: {ft}^{2} \\ [/tex]
Answer:
1725 sq ft
Step-by-step explanation:
50+65=115
115/2=57.5
57.5*30=1725
I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer: 30 computers.
Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.
Answer:
8534
Step-by-step explanation:
8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry
Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.
Answer: 4/8
Step-by-step explanation:
From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.
To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:
= 1 2/8 - 6/8
= 4/8
She gave 4/8 to Mr Andrews.
