The following system of linear equations is shown in the graph.
y equals one fourth times x minus 1
x − 4y = 4
a coordinate plane with two lines that pass through the points 0 comma negative 1 and 4 comma 0
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
The system of linear equations is given as:
y = 1/4x - 1
x - 4y = 4
To find the solution, we can substitute y in the second equation with 1/4x - 1:
x - 4(1/4x - 1) = 4
x - x + 4 = 4
4 = 4
The equation 4 = 4 is always true, which means that the system of linear equations has infinitely many solutions.
Therefore, the answer is:
Infinitely many solutions.
Related Questions
Money is put into two accounts. Account A earns 3.5% interest annually, and account B ears 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answers
Answer:
The total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.
Step-by-step explanation:
After 6 years, the total interest earned on account A would be:
Interest = Principal x Rate x Time
Interest = $10,000 x 0.035 x 6
Interest = $2,100
The total interest earned on account B would be:
Interest = Principal x Rate x Time
Interest = $10,000 x 0.026 x 6
Interest = $1,560
Therefore, the total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.
Someone please solve this for me, I'm offering 30 points, I need a screenshot of your work and a explanation of how you did it to fully understand. Thank you, This is a Middle school level question . I need you to work this on paper, take a picture and attach it to your answer.
Answers
I hope this is what you needed
Explanation: There are a total of 14 movies since each of the numbers shown above represents the number of minutes in a movie so all you have to do is count how many movies have 85-89, 100-114, 115-129, 130-144 minutes
Suppose you have $1500 and want to have $8000 in 15 years. What simple interest rate will you need? Please tell me
Answers
Answer: Rate = 0.289 or 28.9%
Step-by-step explanation:
To determine the simple interest rate required to turn $1500 into $8000 in 15 years, we can use the formula:
Simple Interest = Principal x Rate x Time
where:
Principal = $1500
Time = 15 years
Simple Interest = $8000 - $1500 = $6500
Substituting the given values, we have:
$6500 = $1500 x Rate x 15
Simplifying the equation:
Rate = $6500 / ($1500 x 15)
Rate = 0.289 or 28.9%
Therefore, a simple interest rate of 28.9% is required to turn $1500 into $8000 in 15 years. Note that this assumes that the interest is compounded annually. If the interest is compounded more frequently, a lower interest rate would be required to reach the same goal.
A teacher selects two different numbers, x and y, and states that x + y = 0. Which statement could be true about these two numbers?
Both numbers are positive.
Both numbers are negative.
One number is zero and the other is positive.
One number is positive and the other is negative
Answers
Answer:
One number is positive, and the other is negative. The numbers are additive inverses. x + y = 0 -----> y = -x
I really need help with this one.
Answers
Answer:
1/2x + 1/3
Step-by-step explanation:
1/4x + 3/4x - 1/2x + 1 - 2/3
= 1/4x + 3/4x - 2/4x + 3/3 - 2/3
= 2/4x + 1/3
= 1/2x + 1/3
to add or subtract fractions, you have to convert them so they all have the same least common denominator
How many different possible outcomes are in the sample space?
Answers
Work Shown:
3 choices for the 1st column2 choices for each subsection in the next column3 choices for each subsection after that3*2*3 = 18 different outcomes possible in the sample space. This is the number of possible pathways in the tree diagram.
Order the numbers from least to greatest.
NO
FAKE
ANSWERS
Answers
Answer: First pic: 7/8, 90%, 0.925, 0.93, 15/16
Second pic: 0.27, 27.3%, 11/40, 28%, 0.3
Step-by-step explanation: First Pic : 15/16 = 93.75% 90% = 90%
0.925 = 92.5% 7/8 = 87.5% 0.93 = 93%
Second pic: 0.3 = 30% 27.3% = 27.3% 11/40 = 27.5% 28% = 28% 0.27 = 27%
Kate and Mike are discussing the hourly earnings at their summer jobs. The graph represents the amount of money Kate earns every hour at her summer job.
a. $10.00
b. $18.00
c. $20.00
d. $40.00
*Can't show the graph but look it up*
Answers
Answer:
A.
Step-by-step explanation:
The slope is 1, so for every hour, it goes up $10.
Please answer all question,s formula is there. Explain how you got the answer for the first one.
Answers
1.
Area- 18 in^2 (Base multiplied by Height and then divded by 2)
Perimeter- 21 m (Add all sides)
2.
Area- 6 ft^2
Perimeter- 13 ft
3.
Area- 15 in^2
Perimeter- 22 in
4.
Area- 12 cm^2
Perimeter- 18 cm
5.
Area- 5 ft^2
Perimeter- 12 ft
6.
Area- 14 m^2
Perimeter- 19 m
7.
Area- 12 in^2
Perimeter- 20 in
8.
Area- 6 cm^2
Perimeter- 12 cm
9.
Area- 27 ft^2
Perimeter- 26 ft
Area- 18 in^2 (Base multiplied by Height and then divded by 2)
Perimeter- 21 m (Add all sides)
2.
Area- 6 ft^2
Perimeter- 13 ft
3.
Area- 15 in^2
Perimeter- 22 in
4.
Area- 12 cm^2
Perimeter- 18 cm
5.
Area- 5 ft^2
A cardboard storage carton has a length of 3 feet, a width of 2 feet, and a volume of 12 ft³.whatis the minimum amount of cardboard needed to make the box? [hint: you're given volume, so find the missing height. then use your 3 dimensions to find the total surface area.]
Answers
Brainlist pls
Volume = Length x Width x Height
Substituting the given values, we get:
12 = 3 x 2 x Height
Solving for the height, we get:
Height = 12 ÷ (3 x 2) = 2 feet
Now, we can use the dimensions to find the total surface area of the box. The surface area of a rectangular box can be found using the formula:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the box, respectively.
Substituting the given values, we get:
Surface Area = 2(3 x 2) + 2(3 x 2) + 2(2 x 2) = 12 + 12 + 8 = 32 square feet
Therefore, the minimum amount of cardboard needed to make the box is 32 square feet
PLEASE HELP ASAPPP WILL MARK BRAINLIEST!!!
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of one eighth to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
Answers
Answer:
The third option
Step-by-step explanation:
Multiply all coordinates by 1/8 or 0.125
So
A(−4, 6) → A(-0.5, 0.75) when both points are multiplied by 0.125
B(−2, 2) → B(-0.25,0.25) when both points are multiplied by 0.125
We could go on and find all the values but the third option is the only one that has the right values so it has to be correct
Vertex A′: (x', y') = (kx, ky) = (1/8) * (-4,6) = (-1/2, 3/4)
Therefore, the coordinates of A′ are (-1/2, 3/4)
Vertex B′: (x', y') = (kx, ky) = (1/8) * (-2,2) = (-1/4, 1/4)
Therefore, the coordinates of B′ are (-1/4, 1/4)
Vertex C′: (x', y') = (kx, ky) = (1/8) * (4,-2) = (1/2, -1/4)
Therefore, the coordinates of C′ are (1/2, -1/4)
Vertex D′: (x', y') = (kx, ky) = (1/8) * (4,4) = (1/2, 1/2)
Therefore, the coordinates of D′ are (1/2, 1/2)
So, the vertices of dilated polygon A′B′C′D′ are (-1/2, 3/4), (-1/4, 1/4), (1/2, -1/4), and (1/2, 1/2).
A restaurant serves you a 16-fluid ounce glass of juice that is 30% ice. How many fluid ounces of juice do you actually get? Show all of your work
Answers
to solve how much ice there is you need to do 16 • .30, which would get you 4.8
Now you need to subtract 4.8 from 16, since the 4.8 is the amount of ice in the glass of juice.
So you would actually get 11.2 ounces of juice.
What is 8/15 simplified?
Answers
Answer:
Nothing
Step-by-step explanation: Your answer can't be simplified. So, your answer is 8/15 because your answer can't be simplified.
1) Simplified form of expression is, 0.533
2) The solution is, 8/15
Now, We can simplify 8/15 as,
8 / 15
After divide we get;
8/15 = 0.533
And, We have to simplify the expression,
= 2/3 x 4/5
= 8 / 15
Therefore, We get;
1) Simplified form of expression is, 0.533
2) The solution is, 8/15
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
PLSSsSS HELP IM FAILING THIS CLASS UR AN ANGEL IF U HELP ME
HUNDRED PTS
Shade all products in this multiplication table that appear most frequently. List the multiplication problems that create them. Why do they appear so much?
And also
List all the numbers between 1 and 50 that do not appear in this multiplication table. Why are they missing?
Answers
Answer:
I'm guessing that the products that would be considered appearing most frequently would be appearing 3 or more times, so you should shade the following numbers 4, 6, 8, 12, 16, 18, 24, and 36, if not, shade the numbers that appear 2 or more times.
All the numbers between 1 and 50 that don't appear are 11, 13, 17, 19, 22, 23, 26, 29, 31, 33, 34, 37, 38, 39, 41, 43, 44, 46, 47
They are missing because their factors are larger than 9
Please help! Question on image:
Answers
Answer: A. The location is on Main Street
Step-by-step explanation:
East and West are opposite and have the exact same length from right to left as it describes to X=0 so the 0 would be Main Street (^._.^)/
Show all of your work. Partial credit is only available if all your work is shown.
For problems 1 – 4, convert to customary units. (3 points each)
Answers
The conversions are solved to obtain
1. 48,000 oz = 3000 lb
2. 4.5 T = 9000 lb
3. 7 gal = 56 pt.
4. 125 fl oz is equal to approximately 3.91 qt.
How to do the conversionsUsing unit conversion the following is done as follows
1.
1 lb = 16 oz
48,000 oz = x lb
hence x = 48000 / 16 = 3000 lb
2.
To convert from pounds (lb) to tons (T), we divide by 2000 (since 1 ton = 2000 lb). Therefore, T = 4.5 T * 2000 = 9000 lb
3.
To convert from gallons (gal) to pints (pt), we multiply by 8 (since 1 gal = 8 pt). Therefore, 7 gal = 7 * 8 = 56 pt.
4.
To convert from fluid ounces (fl oz) to quarts (qt), we need to divide by 32 (since 1 qt = 32 fl oz). Therefore:
125 fl oz = 125 / 32 qt
= 3.90625 qt (rounded to 5 decimal places)
Learn more about conversions at
https://brainly.com/question/97386
#SPJ1
which of the following numbers would make the inequality below true?
__________<-2.047
A. -1.9
B.-2.039
C.-2.05
D.-2.046
Answers
Answer:
C. -2.05
Step-by-step explanation:
When a number is in the negatives, the number that is closest to the number 0 on the number line will always be greater than a negative number with a larger number. So since -2.047 is closer to 0 than -2.05, -2.047 will be greater than -2.05
Point B has coordinates (4,1). The x-coordinate of point A is -2. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answers
Answer: (-2, -7) or (-2, 9)
Step-by-step explanation:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
We know the coordinates of point B are (4, 1), and the x-coordinate of point A is -2. Let's assume the coordinates of point A are (x, y). Using the distance formula, we can write:
10 = sqrt((4 - (-2))^2 + (1 - y)^2)
Simplifying the equation, we get:
100 = (4 - (-2))^2 + (1 - y)^2
100 = 36 + (1 - y)^2
64 = (1 - y)^2
Taking the square root of both sides, we get:
8 = 1 - y or 8 = y - 1
Solving for y in each case, we get:
y = -7 or y = 9
Therefore, the POSSIBLE COORDINATES of POINT A: are (-2, -7) and (-2, 9).
I hope this helps!
i need help i can't figure it out lol
Answers
Answer:
28.5 units squared
Step-by-step explanation:
Let's make this easier by dividing the same into a triangle and a rectangle.
The dimensions for the triangle is a 3 x 3 square (divided by 2) and the dimensions for the rectangle is 3 x 8.
Rectangle:
3 x 8 = 24
Triangle:
3 x 3 =9
9/2 = 4.5
24+4.5 = 28.5
Answer:
Step-by-step explanation:
48
because its 6 up the shape and 8 width of the shape that make 48 6 times 8.
graded assignment
unit test part 2
Answers
Answer:
I dont have an answer I would answer it for you but it's very blurry
Step-by-step explanation:
I'm sorry but do u still need help?
Math question someone pls explain how to answer it I am stuck pt.6
Answers
Answer:
The surface area of the prism is 136m²
Hope this helps!
Step-by-step explanation:
To find the surface area, you need to find the area of the three squares and the two triangles.
The two triangles are the same, so [tex]\frac{1}{2}[/tex] × 6m × 4m = 12m.
One triangle has an area of 12m so the two triangles have an added area of 24m.
The base square has an area of 42m ( 6m × 7m ).
The slanted squares ( the squares on top ) are also the same so 5m × 7m = 35m, 35m + 35m = 70m
Add all the values together : 24m + 42m + 70m = 136m²
PLS HELP ASAPPP WILL MARK BRAINLIEST
Polygon ABCD with vertices at A(1, −2), B(3, −2), C(3, −4), and D(1, −4) is dilated to create polygon A′B′C′D′ with vertices at A′(4, −8), B′(12, −8), C′(12, −16), and D′(4, −16). Determine the scale factor used to create the image.
Answers
Answer:
D. 4
Step-by-step explanation:
The Dilation can be measured by vertices A. it started at (1, -2) but went to (4, -8). 1 x 4 = 4 and -2 x 4 = -8
After school, some friends play double Dutch with their jump ropes. There must be at least
3 people to play double Dutch. Which inequality represents the number of people, x, needed to play double Dutch?
A x > 3
B x < 3
с x ≥ 3
D x≤ 3
Answers
Answer: D
Step-by-step explanation: Because we don't know if they have exactly 3 people or less than.
Answer: D
Step-by-step explanation:
It could be any number of people , it does not matter as they have not specified .
I'll give brainly and 100 point pls answer quick
Christina bought 999 ounces of chocolate. 0.7 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Christina buy?
Answers
Answer: 998.3 ounces was dark chocolate
have an amazing day and crush that homework/class!
branliest?
A rectangular pyramid and a rectangular prism have the same length, width, and height. If the volume of the rectangular pyramid is 75 cubic centimeters, what is the volume of the rectangular prism in cubic centimeters?
Answers
Answer:
225 cubic centimeters
Step-by-step explanation:
The formula for the volume of a rectangular pyramid is V = (1/3)Bh, where B is the area of the base and h is the height. The base of the rectangular pyramid is a rectangle with the same length and width as the rectangular prism. Let's call the length, width, and height of both shapes "l", "w", and "h", respectively. Then:
V_pyramid = (1/3)B_pyramid * h
75 = (1/3)(lw) * h
We also know that the rectangular prism has the same length, width, and height as the rectangular pyramid, so its volume can be calculated using the formula V_prism = lwh:
V_prism = lwh
V_prism = lwh = l * w * h
Since l = w = h in this case, we can simplify this to:
V_prism = l * w * h = l^3
We can use the equation for the volume of the rectangular pyramid to solve for h:
75 = (1/3)(lw) * h
225 = lw * h
h = 225/(lw)
Substituting this value for h into the equation for the volume of the rectangular prism gives:
V_prism = l^3 = l * w * (225/(lw))
V_prism = 225 cubic centimeters
Therefore, the volume of the rectangular prism is 225 cubic centimeters.
ill give 60 pointsssssss
Answers
Answer: (x, y) = (x-2, y + 9)
Step-by-step explanation: pay attention in class next time.
Answer:
(x, y) = (x-2, y + 9)
Step-by-step explanation:
I really hope this helps
Which statement explains why the system of equations has no solution? y=−3x−5 and y=−3x+5
Answers
Explanation: The equations are parallel and will never intercept. Therefor they have no solution.
I don't understand this at all, it's saying I'm wrong.
Answers
Answer:
108
Step-by-step explanation:
first you need to look where it saids there are 18 cabins and each cabin has eight beds
so you will multiply
18 * 8 = 144
and if there is 252 campers you need to subtract 252 by 144
252 - 144 = 108
Meaning that 108 campers will have to sleep in tents
A jacket has an original price of $50. You have a 20% off coupon. The sales tax will be 4%. What will you pay for the jacket after the discount and sales tax?
Answers
20% * $50 = $10
So the discounted price of the jacket is:
$50 - $10 = $40
Next, we need to calculate the sales tax on the discounted price. The sales tax is 4% of the discounted price of $40, which is:
4% * $40 = $1.60
Finally, we add the sales tax to the discounted price to get the total price:
$40 + $1.60 = $41.60
Therefore, you will pay $41.60 for the jacket after the discount and sales tax.
Answer:
$41.6
Step-by-step explanation:
The formula to find discount is (discount% x Original price) - original price.
In this case, that would be .20 times 50, which is 10.
Now you need to subtract 10 from 50, which is 40.
40 is the discounted price of the jacket before tax.
To find the tax price, you need to multiply the store price times the % tax, and add it to total cost.
In this case it would be 40 x .04, which is 1.6.
Now you add 1.6 to 40 which is $41.6.
Therefore, you will pay $41.6 for the jacket.
IM SO SORRY IF THIS DIDN'T MAKE SENSE!
Pls help, am offering 100 points
Answers
3/16
2 1/4 = 36/16
Answer:
The answer is:
12 sheets per stack
3/16
2 1/4 = 36/16
Step-by-step explanation:
If you have any questions ask me please! :)