Which graph shows the solution to the system of linear equations?
y equals negative one fourth times x plus 1
y = −2x − 1
Answers
Answer:
The First graph
x= -1 1/7
y= 1 2/7
Step-by-step explanation:
y = (-1/4)x +1 .........(1)
y = -2x -1 ..........(2)
STEP I:
(1) ·8
8y = -2x + 8 .........(3)
Step 2:
(3) - (2)
8y = -2x + 8
-) y = -2x -1
____________
7y = 9 , y = 9/7 = 1 2/7
y = 9/7 as input
x = -8/7 = -1 1/7
The solution to the system of linear equations is the point (8/7, -9/7). Graphically, this point represents the intersection of the two lines.
Explanation:To find the solution to the system of linear equations, we need to find the point where the two equations intersect. To do this, we can set the equations equal to each other and solve for x. -1/4x + 1 = -2x - 1. Simplifying the equation, we get 7/4x = 2. By multiplying both sides by 4/7, we find that x = 8/7. Plugging this value back into either equation, we find that y = -9/7. Therefore, the solution to the system of linear equations is the point (8/7, -9/7).
Graphically, the solution to the system of linear equations is represented by the point where the two lines intersect. The graph of y = -1/4x + 1 is a line with a slope of -1/4 and a y-intercept of 1, while the graph of y = -2x - 1 is a line with a slope of -2 and a y-intercept of -1. By plotting these lines on a graph, we can identify the point of intersection and determine the solution.
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Related Questions
The length of a rectangle swimming pool is 3 1/4 yards. If the area is 9 3/4 square yards, what is the width of the swimming pool?
A- 3 yards
B- 31 11/16 yards
C- 6 1/2 yards
D- 2 3/4 yards
Answers
Answer:
Let's start by using the formula for the area of a rectangle:
area = length x width
We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:
9 3/4 = (13/4) x width
To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:
(9 3/4) x (4/13) = (13/4) x (4/13) x width
3 = width
Therefore, the width of the swimming pool is 3 yards, which is option A.
please help me I'm behind and hopefully y'all can read it this time
Answers
Answer:
Step-by-step explanation:
2- 4.5 m(squared)
3- 314.16 (this is rounded to the neared hundreds
A fair 6-sided die is rolled 550 times. What is a reasonable prediction for the number of times the event of landing on an even number will occur?
A: 92
B: 150
C: 275
D: 325
Thanks!
Answers
Answer:
b beach you know
Step-by-step explanation:
I took the test
(c)
Explanation
If it is rolled 550 times and there are six sides there are 3 even numbers if you have ever seen a die it there is a 123456 but there are 3 even numbers 2:4:6 so you would take half of 550 which would be (c) 275
Hope this helps :)
Brainlist pls
PLS HELP ASAP! WILL GIVE BRAINLIEST!!!
A tree measured 8 3/4 feet in height. Over the next 6 3/8 years, the tree grew to a height of 51 1/4 feet.
During the 6 3/8 years, what was the average yearly growth rate of the tree?
(A) 6 2/3 feet per year
(B) 42 1/2 feet per year
(C) 5 1/4 feet per year
(D) 6 1/4 feet per year
Answers
Answer:
i think the answer is C im only writing it like this bc it wont just let me put C lol
What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?
Responses
A 2
B 6
C 3
D 4
Answers
Answer: 4
Step-by-step explanation:
c1: c2:
H - H
T - T
T - H
H - T
Example: you role two dice how many outcomes are there?
There are two dice with six sides so you would multiply 6•6 to get 36
Which of the following quotients are true? Select all that apply.
A. 1/2 ÷ 2 = 4
B. 1/3 ÷ 4 = 4/3
C. 1/2 ÷ 6 = 1/12
D. 1/5 ÷ 2 = 10
E. 1/8 ÷ 3 = 1/24
Answers
Answer:
Step-by-step explanation:
A. 1/2 ÷ 2 = 4
1/2 ÷ 2/1 = 1/2 × 1/2 = 1/4 not 4
B. 1/3 ÷ 4 = 4/3
1/3 ÷ 4/1 = 1/3 ×1/4 = 1/12 not 4/3
C. 1/2 ÷ 6 = 1 1/2
1/2 ÷ 6/1 = 1/2 × 1/6 = 1/12
D. 1/5 ÷ 2 = 10
1/5 ÷ 2/1 = 1/5 × 1/2 = 1/10
E. 1/8 ÷ 3 = 1 1/4
1/8 ÷ 3/1 = 1/8 × 1/3 = 1/24
Answer:
The correct quotients among the given options are:
B. 1/3 ÷ 4 = 4/3
C. 1/2 ÷ 6 = 1/12
E. 1/8 ÷ 3 = 1/24
Pls help asap!!! WILL GIVE BRAINLIEST!!!
Julio made curtains from a roll of material that was 76.5 yards long. He made 18 identical curtains and had 10.8 yards of material left over. What was the length in yards of the material Julio used per curtain?
Answers
Answer:
3.65
Step-by-step explanation:
First do 76.5-10.8=65.7
Then do 65.7/18= 3.65
3.65 yards per curtain
step by step:
76.5-10.8= 65.7
65.7 / 18 = 3.65
Question 12(Multiple Choice Worth 2 points)
(Three-Column Tables MC)
The relationship between the number of pies-to-cakes chosen by middle school students as their favorite dessert is shown in the table.
Pie 36 42 60
Cake D 7 C
Total 42 A B
What is the value of C in the table?
6
10
49
70
Answers
Answer:
The value of C in the table is 0. Total number of cake lovers = Total - (number of students who chose pie) = 138 - (36 + 42 + 60) = 138 - 138 = 0
Step-by-step explanation:
The value of C in the given table is 10. Therefore, option B is the correct answer.
What is proportionality?The property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
From the given table,
42/7 = 60/C (Using proportionality)
6=60/C
C=10
Therefore, option B is the correct answer.
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There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,300 liquid gallons and has a radius of 2.6 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.
2.0 feet
8.2 feet
61.2 feet
114.5 feet
Answers
The height of the water tank is 8.2ft
What is volume of a cylinder?
A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis.
The volume of a cylinder = πr²h
there are 7.48 liquid gallons in a cubic foot.
therefore in 1100 liquid gallons there will be 1300/7.48 = 173.7 ft³
147.1 = 3.14 × 2.6² ×h
147.1 = 21.2h
h = 173.7/21.2
h = 8.2ft(nearest tenth)
therefore the height of the tank is 8.2ft
Your welcome!
Find the 24th term.
-9, 0, 9, 18, 27, ...
24th term = [? ]
Answers
Answer:
198
Step-by-step explanation:
Answer: 198
Step-by-step explanation:
Firstly, you must find the nth term.
the sequence is: -9, 0, 9, 18, 27, ...
find the difference between each term. in this sequence, the difference is 9, so it is 9n
then you must find the difference between the sequence 9n and this sequence. 9n is:
9, 18, 27, 36, 45, ...
now find the difference between 9n and our sequence.
adjustment = -18
so the nth term is 9n - 18
now you need to substitute 24, as that is the term you would like to find out, in place of n.
so, our n term looks like this: 9(24)-18
9 x 24 = 216
216 - 18 = 198
hence, the answer is 198.
hope this helps.
When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.
three sevenths
five sevenths
three eighths
five eighths
PLEASE HELP ASAP!!!!!
Answers
Answer:
3/8
Step-by-step explanation:
3/8 are vowels
Where would -4,9 be on a coordinate grid
A-1st
B-2nd
C-3rd
D-4th
Answers
The x-coordinate represents the horizontal position of the point, while the y-coordinate represents the vertical position of the point.
In this case, the x-coordinate is -4, which means the point is 4 units to the left of the origin. The y-coordinate is 9, which means the point is 9 units up from the origin.
Therefore, the point (-4,9) is located in the 2nd quadrant of the coordinate grid, since it is to the left of the origin (in the negative x-direction) and above the origin (in the positive y-direction).
So, the correct answer is B-2nd.
There are 70 dogs and 55 cats at the
shelter. 7 dogs and 8 cats get adopted.
What % of the animals got adopted?
Answers
Answer: 12% of the animals at the shelter got adopted
Step-by-step explanation:
1) 7 + 8 = 15 total animals that got adopted
2) 70 + 55 = 125 total animals at the shelter (before the adoptions)
3) 15 ÷ 125 = 0.12
4) 0.12 × 100 = 12%
Hence, 12% of the animals at the shelter got adopted.
Answer: 12%
Step-by-step explanation: There are a total of 125 pets at the shelter between both cats and dogs. The number that got adopted was 15. 125x15x100%=12% Good luck!
PLEAS HELP ASAPPP!! WILL MARK BRAINLIEST
Determine the length of sides AB and BC in triangle ABC.
Answers
Explanation
Since triangle ABC is similar to DEF
We know AC to DF is the ratio we can use to find unknown sides
6.71 /6.1 = 1.1 ratio or dilation from pre image DEF to image ABC
AB is our unknown
8.8 is our pre image x 1.1 dilation = 9.68
BC is our unknown
6.4 is our pre image x 1.1 dilation = 7.04
The following system of linear equations is shown in the graph.
y equals one fourth times x minus 1
x − 4y = 4
How many solutions does the system of linear equations have?
No solution
Infinitely many solutions
One solution at (4, 0)
One solution at (0, −1)
Answers
Answer:
Step-by-step explanation:
its B. trust me fr fr
Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?
(Answer quick please, 11:30pm-12:30pm)
Answers
Answer:
the answer is 864 in3
Step-by-step explanation:
12 x 18 x 24 = 5,184 cubic inches
The volume of Lim's aquarium is:
12 x 30 x 12 = 4,320 cubic inches
To find how much more volume Jerome's aquarium has than Lim's, we can subtract the volume of Lim's aquarium from the volume of Jerome's aquarium:
5,184 - 4,320 = 864 cubic inches
Therefore, Jerome's aquarium has 864 cubic inches more volume than Lim's aquarium.
Preimage polygon VWYZ and image polygon V′W′Y′Z′ are shown on a coordinate plane.
What transformation takes polygon VWYZ to polygon V′W′Y′Z′?
Vertical translation
90° clockwise rotation
Reflection across the y-axis
Reflection across the x-axis
Answers
Answer: reflection across the x-axis
Step-by-step explanation: It would either be a reflection or a translation, but because of the locations of the image compared to the pre-image it has to be a reflection. For example, Y and Y' are equidistant from the x-axis. If this was a translation the whole image would have "slid" down and Y' would be where Z' is.
Answer: THe answer is verticle translation and NOT a reflection over an axis because the letters on the corner of the box would be opposite not equal.
Step-by-step explanation: i did the test
Romi and her friends ran in a terrain race. Their distance, in miles, from the starting line over time, in minutes, is shown on the graph.
Which of the following descriptions could represent the graph?
From the starting line, Romi ran 4 miles in 40 minutes, rested for 20 minutes, jogged back 2 miles toward the starting line in 40 minutes, rested for 20 minutes, and walked the last 2 miles back to the starting line.
From the starting line, Romi ran 4 miles in 40 minutes, rested for 40 minutes, jogged back 1 mile toward the starting line in 20 minutes, rested for 20 minutes, and jogged the last 3 miles back to the starting line.
From the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 40 minutes, and jogged the last 4 miles back to the starting line.
From the starting line, Romi ran 2 miles in 20 minutes, rested for 40 minutes, jogged 1 more mile away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line.
Answers
Answer:
option c is the correct answer
help me thank you :D
Answers
Answer:3
Step-by-step explanation:as u know area is multiplication so u multiply 3/5 by 5 or 5/1 And get 3 (Here like this)
When Emily went to work, it was 83.8 degrees outside. When she was done working, it was 67.9 degrees outside. What was the change in temperature?
Answers
Answer:
The difference in temperature is 15.9 degrees.
Step-by-step explanation:
83.8 - 67.9 = 15.9
Answer: 83.8
-67.9 = 15.9
In a pile of playing cards, there are six hearts, twelve clubs, and six diamonds. What is the probability that you will draw a heart?
1/2
1/6
1/4
1/3
Answers
Answer:
Step-by-step explanation:
1/4 because all equal 24 together
and so
12 is half so pulling a club would be 1/2
6 is a fourth so pulling a diamond or heart would be 1/4
because 6x2=12 so pulling a diamond or heart would be 50 - 50 from pulling a heart/diamond or a club
6=cards
2=diamonds and hearts
The probability of drawing a heart from the pile of 52 cards is 0.25.
The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.
We know, the probability of an event = Number of favorable outcomes/Total number of outcomes.
As it is given that there are 6 hearts, 12 clubs, and 6 diamonds in a pile of playing cards.
Therefore, the total number of outcomes = 6+12+6= 24
and number of favorable outcomes = 6
Now, the probability of an event = 6/24
= 1/4
= 0.25
Therefore, the probability of drawing a heart is 0.25.
To learn more about the probability, visit:
brainly.com/question/11234923.
I need help with this it too hard and I'm also trying to get caught up thankssss
Answers
Answer:
the picture is to blurry to interpret
Find volume of these figures. Best answer will receive brainliest. 100 points. ASAP
Answers
Question 4 — 132 yard³
Question 5 — 190 inch³
Question 6 — 744 foot³
Question 7 — 972 foot³
Question 8 — 90 yard³
Question 9 — 1118 inch³
Step-by-step explanation (Question 4):The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).
Length of the Vertical Cuboid = 16 yards
Width of the Vertical Cuboid = 3 yards
Height of the Vertical Cuboid = 2 yards
Area of the Vertical Cuboid = Length * Breadth * Height
= 16 * 3 * 2
= 96 yard³
Length of the Horizontal Cuboid = ( 8 - 2 ) = 6 yards
Width of the Horizontal Cuboid = 3 yards
Height of the Horizontal Cuboid = 2 yards
Area of the Horizontal Cuboid = Length * Breadth * Height
= 6 * 3 * 2
= 36 yard³
As per the above information we can figure out that the total area of the figure is —
Area of the Horizontal Cuboid + Area of the Vertical Cuboid
36 + 96 = 132 yard³
The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).
Length of the Vertical Cuboid = 11 inches
Width of the Vertical Cuboid = 5 inches
Height of the Vertical Cuboid = 2 inches
Area of the Vertical Cuboid = Length * Breadth * Height
= 11 * 5 * 2
= 110 inch³
Length of the Horizontal Cuboid = ( 15 - 5 ) = 10 inches
Width of the Horizontal Cuboid = 2 inches
Height of the Horizontal Cuboid = 4 inches
Area of the Horizontal Cuboid = Length * Breadth * Height
= 10 * 2 * 4
= 80 inch³
As per the above information we can figure out that the total area of the figure is —
Area of the Horizontal Cuboid + Area of the Vertical Cuboid
80 + 110 = 190 inch³
The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).
Length of the Vertical Cuboid = 12 foot
Width of the Vertical Cuboid = 3 foot
Height of the Vertical Cuboid = ( 5 + 4 ) = 9 foot
Area of the Vertical Cuboid = Length * Breadth * Height
= 12 * 3 * 9
= 324 foot³
Length of the Horizontal Cuboid = 12 foot
Width of the Horizontal Cuboid = ( 10 - 3 ) = 7 foot
Height of the Horizontal Cuboid = 5 foot
Area of the Horizontal Cuboid = Length * Breadth * Height
= 12 * 7 * 5
= 420 foot³
As per the above information we can figure out that the total area of the figure is —
Area of the Horizontal Cuboid + Area of the Vertical Cuboid
420 + 324 = 744 foot³
The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).
Length of the Vertical Cuboid = 18 foot
Width of the Vertical Cuboid = 2 foot
Height of the Vertical Cuboid = 12 foot
Area of the Vertical Cuboid = Length * Breadth * Height
= 18 * 2 * 12
= 432 foot³
Length of the Horizontal Cuboid = 18 foot
Width of the Horizontal Cuboid = 5 foot
Height of the Horizontal Cuboid = 6 foot
Area of the Horizontal Cuboid = Length * Breadth * Height
= 18 * 5 * 6
= 540 foot³
As per the above information we can figure out that the total area of the figure is —
Area of the Horizontal Cuboid + Area of the Vertical Cuboid
540 + 432 = 972 foot³
The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).
Length of the Vertical Cuboid = 3 yards
Width of the Vertical Cuboid = ( 8 - 6 ) = 2 yards
Height of the Vertical Cuboid = 5 yards
Area of the Vertical Cuboid = Length * Breadth * Height
= 3 * 2 * 5
= 30 yard³
Length of the Horizontal Cuboid = 6 yards
Width of the Horizontal Cuboid = 2 yards
Height of the Horizontal Cuboid = 5 yards
Area of the Horizontal Cuboid = Length * Breadth * Height
= 6 * 2 * 5
= 60 yard³
As per the above information we can figure out that the total area of the figure is —
Area of the Horizontal Cuboid + Area of the Vertical Cuboid
60 + 30 = 90 yard³
The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).
Length of the Vertical Cuboid = 13 inches
Width of the Vertical Cuboid = 4 inches
Height of the Vertical Cuboid = 11 inches
Area of the Vertical Cuboid = Length * Breadth * Height
= 13 * 4 * 11
= 572 inch³
Length of the Horizontal Cuboid = 13 inches
Width of the Horizontal Cuboid = 6 inches
Height of the Horizontal Cuboid = 7 inches
Area of the Horizontal Cuboid = Length * Breadth * Height
= 13 * 6 * 7
= 546 inch³
As per the above information we can figure out that the total area of the figure is —
Area of the Horizontal Cuboid + Area of the Vertical Cuboid
546 + 572 = 1118 inch³
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
PLS HELP ASAP!!! WILL GIVE BRAINLIEST
The original selling price of an antique clock was c, dollars.
The selling price at a later date was represented by the expression 1.2(0.85c).
Which description could explain what happened to the price of the antique clock?
(A) The price decreased by 20% and then increased by 85%
(B) The price decreased by 80% and then increased by 15%
(C) The price decreased by 15% and then increased by 20%
(D) The price decreased by 15% and then increased by 85%
Answers
Answer:
(C) The price decreased by 15% and then increased by 20%
Step-by-step explanation:
0.85c = c - 0.15c
This means that c was decreased by 0.15c which is equal to 15%.
Being multiplied by 1.2 makes the number increase. think about 1.2 as 120%. In other words, being increased by 20%.
The price was decreased by 15% first and then increased by 20%
C
What is the circumference of the circle with a radius of 4.5 meters? Approximate using π = 3.14.
14.13 meters
28.26 meters
56.52 meters
63.59 meters
Answers
Answer: the circumference of this circle is : 28.26 meters.
Step-by-step explanation:
The formula for circumference is = 2*pi*radius
Here,
pi=3.14
radius=4.5meters
hence,
using the formula; 2*pi*r
circumference =2 * 3.14 * 4.5m
circumference = 28.26 meters.
Answer:
The Circumference of circle os 28.26 meters.
Step-by-step explanation:
Given : Radius of circle is 4.5 meter
To Find : Circumference of circle
Using Formula :
[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]
Solution :
Finding the Circumference of circle by substituting all the given values in the formula :
[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]
[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \times \pi \times r}[/tex]
[tex]\sf{\leadsto{Circumference_{(Circle)} = 2 \times 3.14\times 4.5}}[/tex]
[tex]\sf{\leadsto{Circumference_{(Circle)} = 6.28\times 4.5}}[/tex]
[tex]\sf{\leadsto{Circumference_{(Circle)} = 28.28 \: meteres}}[/tex]
Hence, the Circumference of circle is 28.26 meters.
————————————————A prism is completely filled with 540 cubes that have edge length of 1/3 cm.
What is the volume of the prism?
Answers
Answer: 20
Step-by-step explanation:Each little cube is 1/27 cm cubed. If you multiply by 540, you get 540/27. This equals 20.
ANSWER BOTH PLS 20 POINT <3
Answers
Answer:d is the correct answer
Answer: D and 10 am.
Step-by-step explanation:
A scatter plot is shown.
Which of these statements are true for the scatter plot? Select all that apply.
The scatter plot shows a negative association
The scatter plot shows a nonlinear association
The scatter plot shows two clusters of a data
The scatter plot shows a positive association
The scatter plot shows an outlinear
Answers
Answer: The scatter plot shows a nonlinear association
The scatter plot shows a negative association
Step-by-step explanation:
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 3
2 2
3 10
4 9
5 7
6 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
0.74
0.35
0.26
0.11
PLEASE HELP ASAP!!!!!
Answers
From the given data, we can see that the total number of students surveyed is:
1 + 3 + 2 + 10 + 9 + 7 + 3 = 35
And the number of students who studied for 4 hours is:
9
Therefore, the probability that a student studied for exactly 4 hours is:
9/35 = 0.26 (rounded to the nearest hundredth)
So the correct answer is 0.26.
ASAP! WHOEVER ANSWERS RIGHT GETS BRAINLIESTS OR WHATEVER ITS CALLED A college cafeteria is looking for a new dessert to offer its 5,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the scoops of ice cream the college will need?
The college will have about 1,800 students who prefer ice cream.
The college will have about 800 students who prefer ice cream.
The college will have about 600 students who prefer ice cream.
The college will have about 144 students who prefer ice cream.
Answers
Answer: the college will have about 600 students who prefer ice cream
Step-by-step explanation: add them up multiple by225 and then divide
Answer:
Step-by-step explanation:
Given, A college cafeteria is looking for a new dessert to offer its to 5,000 and the sample is 225,
it is, (5000/225)=22.22 time the sample.
from the table 27 students prefer cookies.
the college is required to make (22.22x27)=600
The college will have about 600 students who prefer ice cream.