[tex]\huge\blue{ANSWER}:—[/tex]
A solution for a pair of lines means that they are equal to each other. This occurs when they instersect. Since the lines have the same slope, but are not the same line, they are parallel, so they will never intersect. This means there are zero solutions.
Hope this helps!The provided set of equations for the lines Q and S have no solutions.
What is the Slope of a line?The slope of a line is a measure of how steep the line is and is defined as the change in y divided by the change in x between any two points on the line. In other words, the slope is the ratio of the vertical distance between two points on the line to the horizontal distance between them.
What are parallel lines?Parallel lines are two or more straight lines that are equidistant from each other at all points and do not intersect, no matter how far they are extended in both directions. Parallel lines are often denoted by a double vertical line symbol (||) drawn between them.
In the given information:
Line Q crosses the y-axis at 3 and has a slope of one-half.
Therefore,
x=0 and y= 3
Straight line equation: y= mx + c
where m is the line's slope
The values in this equation should be replaced.
y= mx + c
3= (1/2) ×0+c
3 = c
y= (1/2) x + c
Line S crosses the y axis at -2 and has a slope of one half.
Thus, the c will be negative.
After that, the line's equation is y = (1/2) x - 2.
Use the equation to plot the graph.
So,
Line Q and Line S are parallel lines.
Due to the fact that it won't intersect, there is an equation.
Thus, the provided pair of equations for lines Q and S have no solutions.
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A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A pool maintenance worker filled a pool with 429,000 gallons of water. The pool is now 65% full. How many gallons of water does the pool hold when 100% full? *
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 π and enter your answer as a decimal.
Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
Answer:
Step-by-step explanation:
A full circle has a circumference of 2*pi * r
r = 1
so Full Circle = 2 * PI
1/4 Circle = 2*pi / 4 = 1/2 pi
The length of the arc length = 1/2 pi
Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57
Graph each inequality on a number line.
d. You must be at least 38 inches tall to ride the roller coaster.
(number line photo attached)
Answer:
Create a black dot that is filled in, then an arrow going towards the right.
The difference of seven and a number is not equal to the sum of twice the number and two
Answer: [tex]x\neq \frac{5}{3}[/tex]
Step-by-step explanation:
[tex]7-x\neq 2(x)+2\\7\neq 3(x)+2\\5\neq 3(x)\\\frac{5}{3}\neq x[/tex]
Solve by factoring
x^2-8x-9 = 0
Answer:
the answer is ( x-9) (x+1) = 0
Step-by-step explanation:
more to the solution is x= -1, 9
After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2 inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide. What will the total volume of the wedding cake be?
PLZ HURRY WILL MARK BRAINLIEST
Can someone help me with this two because I am very confused
Answer:
Let the height of the larger box = h
and length and width of the larger box = l and w , repectively
Now , Let find the volume of the larger box
Volume = length * width * height
So Volume of the larger box = l*w*h = lwh
Now the question says
the height of the smaller box is 80% of the height of the larger box
It means
Height of the smaller box = 80% of h = 0.80*h = 0.80h
and the other two dimensions are same so it means length and width of the smaller box = l and w
so, Volume of the smaller box = l*w*0.80h = 0.80lwh
So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box
therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh
Step-by-step explanation:
solve by factoring
x^2 -10 = 9x
Answer:
(10,0)(-1,0)
Step-by-step explanation:
x^2 - 9x - 10 = 0
(x - 10)(x + 1) = 0
The two solutions are
x - 10 = 0
x = 10
or
x+1 = 0
x = - 1
Answer:
x=10, x=-1
Step-by-step explanation:
Hi there!
We are given this equation:
x²-10=9x
And we want to solve it by factoring
Factoring is easier to do when all of the terms are on the same side, so let's subtract 9x from both sides
x²-9x-10=0
Now we must think of two numbers that add up to -9, but multiply to get -10
Those numbers are -10 and 1
So factor the polynomial using FOIL:
(x-10)(x+1)=0
Now split and solve via the zero product property:
x-10=0
Add 10 to both sides
x=10
x+1=0
Subtract 1 from both sides
x=-1
Hope this helps!
Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies. Before winter break, he bought a new racing video game for $49.86. How much money did Perry have left?
Answer:
[see answer below]
Step-by-step explanation:
"Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies."
4 * 20 = 80
2 * 10 = 20
3 * 0.1 = 0.3
2 * 0.01 = 0.02
80 + 20 + 0.3 + 0.02 = $100.32
100.32 - 49.86 = 50.46
Hope this helps you.
Answer:
$50.46
Step-by-step explanation:
Math problem for high school
Answer:
50/3
Step-by-step explanation:
area of triangle = 10
area of circle = 10
area of triangle + area of circle = 20
The white sector of the circle has central angle 60°.
Its area is 1/6 the area of the circle.
To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.
gray area = 20 - (1/3)10
gray area = 20 - 10/3
gray area = 60/3 - 10/3
gray area = 50/3
Answer:
The white sector of the circle = (1/6) (10) = 10/6 = 5/3
So....the grey area = 10 + 10 - 2 (5/3) = 20 - 10/3 = 60/3 - 10/3 = 50 / 3
MARK BRAINLIEST
what is the equation
Answer: -12 - 3 = -15
Explanation:
We start at -12 which goes in the first box.
Moving to the left 3 units means we subtract off 3, so that's why 3 goes in the second box.
The arrow is pointing at -15 as the final destination, which goes in the final third box.
Write an equation to find the nth term. Then find ₐ₂₄
1, 3, 5, 7,.......
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is 1 and d is the difference, which in this sequence the next term is found by adding 2 to the previous term, so d = 2 and n is the term you want to find.
The equation is:
an = 1 + (n-1)2
a24 = 1 + (24-1)2 = 1 + 23(2) = 1+46 = 47
A person riding in a elevator travels 240 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y=8x; 8 feet
B. y=1/8x; 1.25 feet
C. y=8x; 80 feet
D. y=6x; 60 feet
Answer:
The answer to this question is letter C
We can approach this by first finding the rate of feet per second traveled.
240(feet)/30(seconds)= 8 feet per second.
This answer resembles the slope for answer choice C.
To find the distance traveled in 10 seconds we do 10*8= 80 feetStep-by-step explanation:
have a great day and good luck
Simplify
l3r-15l if r<5
SOLVE NOW PLEASE
Answer:
-3r + 15 ---> answer
Step-by-step explanation:
r < 5
You are going to multiply both sides with 3. The reason being is that 3 is a positive number and the equality sign will not change if you use +3.
3r < 15
Now, subtract 15 from both sides, you will get this:
3r < 15
-15 -15
-------------
3r — 15 < 0
Lastly, using the Modulus function, we are going to add a negative sign to the content of our previous step because it's already negative.
So, -3r + 15 is the final solution if r < 5 in the given equation of l3r-15l
Answer:
Step-by-step explanation:
3
I need help! ASAP
( 6th grade tape charts! )
what comparison does the ratio 6 to 21 represent
Answer:
3:7
Step-by-step explanation:
hope it help you....
Answer:
2:7
Step-by-step explanation:
You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)
HELPPPPPPPPPP HELPPPPPP
Answer:
14c decrease Option D
Step-by-step explanation:
The temperature was 8c at 12 am and -7c at 7 pm to find the difference subtract to get 14c.
whats wrong im only in 7th grade
Step-by-step explanation:
hello!! So I’m in 5th grade (middle school in my state :]) and I have a question.
what is 5 x 23 x 2 ? Please help! I didn’t understand anything in the mah lesson today and I’m behind.
if you can help that’d be a help!
also please tell me how the answer was gotten!
5 x 23 x 2
Answer:230
Step-by-step explanation:
5 x 23= 115
115 x 2= 230
please help me find what equals to x
I a local store, almonds are sold at a rate of $15 per kg. Write an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg
Answer:
C = 15m
Step-by-step explanation:
Since the almonds are $15 per kg, the cost can be represented by 15m, where m is the number of kg.
To create the equation, set this equal to C, the cost in dollars:
C = 15m
So, the equation is C = 15m
Here is an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg of almonds sold at a rate of $15 per kg at a local store: C = 15m
The mass of the almonds closely relates to how much they cost. This implies that the price of almonds will rise along with the mass of the nuts. Since the proportionality constant is $15, the price will be $15 for every kilogram of almonds.
Let's use an illustration to try to comprehend this. A 2 kg purchase of almonds will cost $30. Since 2 x 15 = 30, this is the case.
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Evaluate the expression: 4p^2 / 9 - 4
Please show your work
The volume of this prism is cubic inches.
Answer:
140
Step-by-step explanation:
The prism shown is a rectangular prism
Volume of a rectangular prism = length * width * height
Given length: 3 1/2
Given width: 5
Given height: 8
Volume = 3.5 * 5 * 8 = 140
Answer:
[tex]A=140[/tex]
Step-by-step explanation:
The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular prism, its volume can be found using the following formula,
[tex]A=l*w*h[/tex]
Substitute the given values into this formula,
[tex]A=l*w*h[/tex]
[tex]A=8*5*3\frac{1}{2}[/tex]
Simplify,
[tex]A=8*5*3\frac{1}{2}[/tex]
[tex]A=40*3\frac{1}{2}[/tex]
Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).
[tex]A=40*3\frac{1}{2}[/tex]
[tex]A=40*\frac{(3*2)+1}{2}[/tex]
[tex]A=40*\frac{6+1}{2}[/tex]
[tex]A=40*\frac{7}{2}[/tex]
To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,
[tex]A=40*\frac{7}{2}[/tex]
[tex]A=20*7[/tex]
Multiply to finish simplifying and get the answer,
[tex]A=20*7[/tex]
[tex]A=140[/tex]
Please whoever knows they can solve this, help me!
I have attached the questions down below. Please add diagrams if the questions permit you to do so. I will be marking the brainiest. Thanks.
ANYONE??
Darren fed his dog 3/4 pound of canned food and 1 1/3 pounds of dry food today. How many pounds of food was that in all?
Answer:
2 1/12 lbs
Step-by-step explanation:
Add the canned and the dry together
3/4 + 1 1/3
Get a common denominator of 12
3/4 *3/3 + 1 1/3 *4/4
9/12 + 1 4/12
1 13/12
1 + 12/12 + 1/12
2 1/12 lbs
Answer:
2 1/12 pounds of food
Step-by-step explanation:
First find the LCM which is 12 and then convert the two fractions into a 12th.
It would be 1 4/12 and 9/12 and then just add.
Can I have Brainliest?
25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 10 cars per hour 20 cars per hour B) 30 cars per hour D 40 cars per hour
Answer:
B. 30 cars per hour
If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour
hope you got it xx
On the set of axes below, draw the graph of the equation y = -3/4x + 3. Is the point (3, 2) a solution to the equation? Explain your answer based on the graph drawn
(3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The graph of the equation is given as y = -3/4x + 3.
We have to find if the point (3, 2) a solution to the equation.
So, we will subtitute the point to to satify the equation;
y = -3/4x + 3.
y = -3/4(3) + 3
y = -9 / 4 + 3
y = 3/3 = 1
Thus, (3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
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Some 10-13 year olds were asked where to buy snacks. If 12% or 24 children, said a convenience store, how many children were asked to buy snacks?
Answer:
200 children
Step-by-step explanation:
so 12% is 24 children
12/24
simplify
1/2
1% is 2 children
multiply 1% by 100 to get 100%, along with 2 for the children
200 children
William has a 26-liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85 marbles, he will have to add 20.9 liters of of water.
What is the volume of each marble?
How much water is necessary if William uses 200 marbles?
Answer: 0.06/marble | 14 liters
The volume of the marbles is 26-20.9 = 5.1 l and there ar e85 marbles
5.1/85 = .06 l/marble
then 200 marbles would requrie .06 l/marble x 200 marbles = 12 liters
so he would only need 26-12= 14 liters of water to fill the tank !
Answer:
14 marbles
Step-by-step explanation:
Hey! Can anybody help? I’m stuck on this question