Step-by-step explanation:
The solution of for the system of linear equations shown in the graph is x = -1/2 and y = 3/2.
Given points of two lines:-
Line 1 : (0,0) , (1,-3)
Line 2 : (0,2) , (-1,1)
Let the Equation of Line 1 : y = mx + c
m = (-3-0)/(1-0) = -3/1 = -3
Putting (0,0) in y = mx + c, we get
0 = -3*0 + c
0 = 0 + c
c = 0
Hence,
Equation of Line 1 : y = -3x or y + 3x = 0 ...(1)
Similarly, we can find,
Equation of Line 2 : y = x + 2 or y - x = 2 ...(2)
(1) - (2),
4x = -2
x = -2/4 = -1/2
Putting the value of x in (2), we get,
y - (-1/2) = 2
y + 1/2 = 2
y = 2-(1/2)
y = 3/2
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Find the area of the square. 4 9cm
Answer:
2401 cm
Step-by-step explanation:
Area of square = a^2
a = side of square
a = 49cm
Hence, area of square = 49^2
= 2401cm
Which simplified ratio correctly compares 12 yards to 20 feet? 1 yard = 3 feet
please help
Answer:
3/5
Step-by-step explanation:
Given ratio 12 yard to 20 feet,
To simplify the ratio, we first need to find the common multiples of 12 and 20,
to find the common multiples of 12 and 20, we need to factorize 12 and 20.
On factorization, we get 12= 2*2*3 and 20=2*2*5.
Common multiples of 12 and 20 are that is 4.
And now simplifying the given ratio, 12 yard to 20 feet , that is 12/20=3/5
Answer: 3/5
Step-by-step explanation: To simplify the ratio, we first need to find the common multiples of 12 and 20 then once you find the common form there you should have your answer.
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Step-by-step explanation: Surface area of triangular prism = 2A + PH.
Lateral surface of a triangular prism = Length × (a + b + c)
i hope it helps u :-)
Answer:
225 and 243.4
Step-by-step explanation:
Area of triangle = bh/2
A = 4*4.6/2
A = 9.2 cm sq
A of 2 triangles = 9.2*2 = 18.4 cm sq
Now, Area of 1 rectangle = lb --> 15*5 = 75 cm sq
A of 3 rectangles = 75*3 = 225 cm sq
Now, LSA = 225 cm sq. (excluding the triangles)
TSA = A of tr. + A of rec. = 18.4 + 225 = 243.4 cm sq
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which expression is not equivalent to the other three?
a) 2x + 2+ 2x + 3x – 8
b) 4 + 7x – 2
c) –2 + 5x + 2x – 4
d) 8x – x – 6
4+7x-2
========================================================
Explanation:
Combine the like terms in choice A to find that:
2x+2x+3x = 7x2-8 = -6Therefore, choice A simplifies to 7x-6.
Choice B on the other hand simplifies to 7x+2 since 4-2 = 2.
The expressions 7x-6 and 7x+2 don't match up, which means the answer is either choice A or choice B.
--------------
Let's simplify choice C.
5x+2x = 7x-2-4 = -6Choice C simplifies to 7x-6 which matches with choice A. In other words, choices A and C are equivalent expressions. We can rule out choice A and go with choice B as the final answer.
For the sake of completeness, let's simplify choice D
8x-x-6 = 7x-6
This shows choice D matches with A and C.
--------------
Summary:
Choice A simplifies to 7x-6Choice B simplifies to 7x+2Choice C simplifies to 7x-6Choice D simplifies to 7x-6Answer:
B
Step-by-step explanation:
i did the math bc im smart :)
I have read for 1 3/5 hours and I am 4/9 of the way through my book. How long will it take me to finish the book? _ hours
Which expression is equal to 3(2x + 8) – 4x?
Group of answer choices
10x + 24
2x + 24
2x + 20
10x + 20
Thanks!
Answer: 2x+24
Step-by-step explanation:
expand brackets: 6x+24-4x
collect like terms: 2x+24
a salesperson at a store earns 8% commission each week. last week, heidi sold $540 worth of jewerly. how much did she make in commission? how much did the jewerly store make from her sales
Write an equation to represent "33 is 15 less than k."
Answer:33-15=k
Step-by-step explanation:
because 33 is 15 less which is 33-15 than k which is 33-15=k
i need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
No, they are not in proportion
Step-by-step explanation:
As when we cross-multiply 2/3 and 7/10, we get 20 = 21
When we cross-multiply 1 and 3/5, we get 5 = 3
When we cross-multiply 4/3 and 1/2, we get 8 = 3
20=21 ≠ 5=3 ≠ 8=3
∴ Hence, they are not in proportion.
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which expression is represented by the model?
Helppp please??
Have a good day!!
Answer:
B?
Step-by-step explanation:
what is it?
find n
60/66 = n/22
Step-by-step explanation:
n = 20
solve =
60 / 66 = n/22
n =( 60 / 66 ) × 22:
n = 20
Write two equivalent fractions to describe the portion of the eggs that are dark gray
Reggie works at Bright Bouquets flower shop.
Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment,
12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.
Which equation can you use to find how many roses, x, Reggie normally uses in a centerpiece?:?????????? HELP
Answer:
He normally uses 12 roses in a centerpiece
Step-by-step explanation:
The equation he can use will be,
4x - 12 = 36
4x = 48
x = 12
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The graph that shows the translation is given as follows:
Option D.
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.For this problem, we have that the translations are given as follows:
2 units left -> 2 is subtracted from each coordinate of x.5 units down -> 5 is subtracted from each coordinate of y.This means that the graph that correctly shows the translation is given by option D.
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Write an expression to represent "subtract 45 from a number c." (use / for division)
Help
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers?
Answer: 16/225
Step-by-step explanation:
i did the math
help me pls, thanks! :)
Answer:
Step-by-step explanation:
first you take a dog then you throw it then you do other things HEHEHHEHEHHEEHEHEHEHEHHHEEHEHEHEHEHEHEHEHEHEHE
Determine whether the sample may be biased. Explain.
A reporter wants to know if the majority of the people in a city want a new football stadium to be built using tax funds, so he gets the opinion of 50 random people at a local college baseball game.
A, B, or C?
Answer:
The sample may be biased. The reporter is only getting the opinion of 50 random people at a local college baseball game, which does not represent the opinion of the entire population of the city. Therefore, the results of the survey cannot be used to make a general statement about how all people in the city feel about the new football stadium.
Step-by-step explanation:
Imagine that you are plotting points on a coordinate plane. Each axis is labeled with integers from -5 to 5 explain how you would plot a point at the location (-2 1/2, -4).
Write three to four sentences.
the answer is in the above picture
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Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.
A. 1/5 = 8/x
B. 1/x = 5/80
C. 1/5 = 80/x
D. 1/x = 8/5
help please, and give me tips as well
Solve for x
1/2x - 2 = 3
A. x= 14
B. x= 10
C. x= 2
D. x=7
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Linear Function Context Questions
Answer:
Step-by-step explanation:
Pick 2 numbers to subtract the C over the M
Subtract these 2 numbers
then divide.
EX: 69.25 - 7= 62.25
61.00 - 4= 57
divide 62.25/57= whatever number u get
What is the value of:
32,538 ÷ 10 to the power of 3
Group of answer choices
3.2538
3253.8
325.38
32.538
Thanks!
Answer: 32.538
Step-by-step explanation:
10³ is the same as 1000
32,538÷10³ is the same as moving the decimal at the end 3 times to the left
Answer:
B, or 3,253.8
Step-by-step explanation:
Write an expression to represent "a number k increased by 6."
Answer:
k+6
Step-by-step explanation:
Please help me ASAP!! What is the answer to 2[tex]\frac{4}{5}[/tex] + 3 [tex]\frac{1}{2}[/tex] = ?
Answer:
6 3/10
Step-by-step explanation:
2 4/5+3 1/2
5+4/5+1/2
5+8/10+5/10
5+13/10
6+3/10
6 3/10
the graph displays the population of bacteria in a petri dish. describe the change in population over time.
He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.
Question 1
Part A
What is the slope of the line that models the function?
Enter the correct answer in the box.
Answer: 208.00
Step-by-step explanation:If Cassidy sells all of the popcorn, his profit would be equal to $208.00.
What is the slope-intercept form?
Mathematically, the slope-intercept form of a line can be modeled by using this linear function:
y = mx + b
Where:
m represents the slope.
x and y are the points.
b represents the y-intercept.
How to determine Cassidy’s profit?
In order to determine Cassidy’s profit, we would have to calculate the cost of the containers of popcorn by using this mathematical expression:
Note: the price tag for a container of popcorn is one dollar and fifty cents.
Cost of containers = revenue - total profit
Cost of containers = 1.50(15) - 5.50
Cost of containers = 22.5 - 5.50
Cost of containers = $17.00
Therefore, the linear function which models Cassidy’s profit is given by:
y = 1.50x - 17
If Cassidy sells all of the popcorn, his profit is given by:
Cassidy’s profit, y = 1.50x - 17
Cassidy’s profit, y = 1.50(150) - 17
Cassidy’s profit, y = 225 - 17
Cassidy’s profit, y = $208.00
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Complete Question:
Cassidy is selling popcorn for a fundraiser sale at the price shown.
A photo of a container of popcorn is shown. The price tag reads one dollar and fifty cents.
He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.
What is Cassidy’s profit if he sells all of the popcorn?
HInt: Substitute 150 for x to find the profit if all the popcorn is sold.