Answer:
Where,
x: he number of tickets sold
y: the amount of money collected for the tickets
The domain of the function must be:
Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
The answer is the first table that represents viable solutions for y = 5x.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The given function is y = 5x
Where x is the number of tickets sold for the school play
And y is the amount of money collected for the tickets.
For this case we have the following equation:
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
Let's check all of the tables:
Table 1:
x = 0, y = 0 ⇒ 0 = 5 · 0 ⇒ 0 = 0
x = 10, y = 50 ⇒ 50 = 5 · 10 ⇒ 50 = 50
x = 51, y = 255 ⇒ 255 = 5 · 51 ⇒ 255 = 255
x = 400, y = 2000 ⇒ 2000 = 5 · 400 ⇒ 2000 = 2000
Since all calculations from the first table are correct.
We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
Learn more about function here:
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Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells each taco for $4 and each burrito for $6.50. Jocelyn must sell at least $780 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
We know that:
Price of a taco = $4
Price of a burrito = $6.50
x = number of tacos sold
y = number of burritos sold.
We must have that:
x + y ≤ 150 (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)
And also we know that she must sell at least $780, then:
x*$4 + y*$6.50 ≥ $780
Now we found the system of inequalities:
x + y ≤ 150
x*$4 + y*$6.50 ≥ $780
To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.
To graph them may be easier to write them as lines, you can do it as follows:
y ≤ 150 - x
y ≥ ($780 - x*$4)/$6.50
in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.
You can see the image below.
Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)
Then looking at the image, we can see that one solution can be the point
x = 20, y = 120
Ms. Jacobsen is tilling her basement floor. The floor is in the shape of a rectangle with a length of 240 inches and a width of 180 inches. Ms. Jacobson uses tiles that are 1 square foot in size. How many tiles does Ms.Jacobsen need to cover her basement floor?
Answer:
Total number of tile used = 300
Step-by-step explanation:
Given:
Length of floor = 240 inches = 240 / 12 = 20 ft
Width of floor = 180 inches = 180 / 12 = 15 ft
Size of each tile = 1 square foot
Find:
Total number of tile used
Computation:
Area of floor = 20 x 15
Area of floor = 300 square foot
Total number of tile used = Area of floor / Size of each tile
Total number of tile used = 300 / 1
Total number of tile used = 300
13- (8x - 5) – 16x
Help please!
Choose the equivalent equations!
-18x plus 8
-18x plus 57 over 4
18x plus 13 - 5 over 4
-18x plus 13 plus 5 over 4
Answer:
The answer is 6(3-4x) because I just did on a test
will mark brainliest. which is right? (a,b,c,d,e?)
Answer:
C
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
If we're talking about fractions, the smaller numbers are larger, why? I have no idea, but 1/8 is half of 1/4 making 1/4 larger. Now give me that brainliest buster.
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answer:
d,c,b,a
Step-by-step explanation:
someone please help! i need this answer!
Answer:
C
Step-by-step explanation:
Answer:
(b)
Step-by-step explanation:
At the State Park Zoo, there are 35 snakes in the reptile exhibit. There are 7 times as many snakes as iguanas in the reptile exhibit. How many iguanas are in the reptile exhibit?
Answer:
There are 245 Iguanas in the reptile exhibit
Step-by-step explanation:
There are 35 snakes in the reptile exhibit.
We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.
This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.
Iguanas = snakes X 7
Iguanas = 35 X 7 =245 Iguanas
Therefore, there are 245 Iguanas in the reptile exhibit
1. 2x+5(6x-9)=179
2. -40=6x-5(-4x-18)
solve for X
Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
Hope this helps! Please mark as brainliest.
Thanks!
HELP PLEASE!!!
When a bush was first planted in a garden, it was 20cm tall. After two months, it was 700% as tall as when it was first planted. Use mental math to find how tall the bush was after the two months.
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
70
Step-by-step explanation:
280×25%=70 pages per night
Answer:
70
Step-by-step explanation:
which expression represents 87 less than the product of 12 and 15
Answer:
I think answer is 87<180 or maybe 87<12*15
During a sale, a dress is marked down from a selling price of $ to a sale price of $44.20 What is the percent markdown?68
Answer:
35% is the answer 68-35%=44.2
Step-by-step explanation:
In a painting, The Great Pyramid of Giza is 45 centimeters tall.
If the pyramid is actually 146.5 meters tall, find the scale.
Answer:
The scale is: 1 cm = 3.26 meter
Step-by-step explanation:
Given
Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]
Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]
In order to find the scale, we can find the ratio between actual height and height in painting.
The ratio can be found by dividing the actual height by height in painting
[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]
Rounding off to nearest hundredth
= 3.26
This means that the scale is:
1 cm = 3.26 meter
is y=5 a linear function.
Answer:
No, y=5 is NOT a linear function.
Step-by-step explanation:
In order for a linear function to be true, it need to include a slope-intercept. For example, a commonly used equation, y = mx+b y = m x + b, is an example of a linear function, since it meets both the variables of m and b and criteria of x and y. In this case, when drawing out y=5 on a graph, marking it down reveals no slope.
I hope this helped to answer your question.
We now know that y = 5 is not a linear function as it cannot be written as y = MX + b.
What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The formula y = MX + b can be used to represent any linear function, where m denotes the slope and b is the y-intercept (slope-intercept form). The alternative formula for a linear function is y - y₀ = m(x - x₀), where m denotes the slope and (x₀, y₀) the line's origin (point-slope form).As, in the description it is cleary said that linear functions can be represented in y = MX + b form, and y = 5 cannot be represented in the same form.
Therefore, y = 5 is not a linear function as it cannot be written as y = MX + b.
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What’s the slope of the line that passes through (-9, -4) and (6, 15).
URGENT NEED OF HELP PLEASE ILL GIVE BRAINLEST
Answer:
umm.. I think the answer choices are wrong because the slope is -2.
y = mx + b
y = (slope)x + (y-intercept)
y = -2x + 4
and i have proof!
Step-by-step explanation:
Negative 1.5 (4 minus r) = negative 12
Answer:
r = - 4
Step-by-step explanation:
Given
- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )
4 - r = 8 ( subtract 4 from both sides )
- r = 4 ( multiply both sides by - 1 )
r = - 4
Answer:
12
Step-by-step explanation:
1.5(4-r) = -12
To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.
With the simplified expression, you can solve for r.
Subtract 6 from both sides then divide by -1.5.
-1.5r=-18
r=12
what is 9 divided by 3 plus for times 6 plus 8
Answer: 50
Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50
Answer:
35
Step-by-step explanation:
9 ÷ 3 + 4 · 6 + 8
Do 9 ÷ 3 first
3
Plug this value back into the equation
3 + 4 · 6 + 8
Do 4 · 6 next
24
Plug this value back into the equation
3 + 24 + 8
Add 3 to 24
27
Plug this value back into the equation
27 + 8
Add
35
Hope this helps :)
Please consider Brainliest :)
The following table provides information about the median income in four states in
2016. Virginia had an index of 127.2 that year. What was the median income in Virginia?
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE SHOW STEP BY STEP EXPLANATION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$68,213
Step-by-step explanation:
The median is the middle value number.
So you need median for Virginia.
First lets see how index and income are connected.
To do this divide the income by the index to see if you have a constant value you can use.
535.434783 = Arkansas
535.381944 = Alabama
535.58 = Arizona
535.669236 = Alaska
535 is constant in all of these.
Let's multiply the index by 535.
127.2*535 =68212.5
For median income, you need a whole number so lets round up.
68213
So Virginia would have a median income rate of $68,213
If you have anymore questions, don't be afraid to reach out and I hope that helps!
Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph?
Answer: no no yes
Step-by-step explanation:
HELP PLEASE what's the slope of the line?
Step-by-step explanation:
The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
the slope of the line would be 1/2 I think
ASAP solve 21x+6=300 30 points
Answer:
x = 14
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.
A ten pound bag of cherries cost $33.50. How much is one pound of cherries?
what is the answer ?
Answer:
C and D
Step-by-step explanation:
Now, I'm not 100% sure on this answer. But, these two look the most efficient answers to go for.
I hope this helps you!
please help !!
find the slope of the line through each pair of points ( -5, 10) , (-16, 8)
Answer:
-2/11
Step-by-step explanation:
y2-y1/x2-x1
8-10 / -5 -(-16)
-2/-5 + 16
-2/11
find the slope of Y(-5,0) Z(-2,-4)
Answer:
m=-4/3
Step-by-step explanation:
y2-y1
x2-x1
x1=−5 ,
y1=0,
x2=−2,
y2=−4.
m=(−4)−(0)(−2)−(−5) =−4/3=−4/3.
What is the result when x^3-8x^2+19x-14x 3 −8x 2 +19x−14 is divided by x-2x−2? If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) .
Answer:
The result when x^3-8x^2+19x-14 is divided by x^2-2x−2 is
[tex]x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex] .
Step-by-step explanation:
Seems the divisor in the question is x^2-2x−2. If so, the solution to the division is shown using the long division method in the attachment below.
The result is
[tex]\frac{x^{3}-8x^{2} +19x -14}{x^{2} -2x-2} = x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex]
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
7 students have 3 books each. Which helps you find the total
number of books?
A.
7-3
B.
7+3
C.
7 x3
D.
7 + 3