Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
Complete the following table:
Number of friends (f) 5 10 15 20
Cost of party (c) 100 200 300 400
Plots the points from the table onto the graph.
Answer: Answer with Step-by-step explanation:
Since we have given that
Cost of party per person = $20.
Let the number of friends be 'f'.
Let the cost of party be 'p'.
According to question, our equation becomes
p= 2f
So, if p = 100, then f = p/2 = 100/2 = 50 if f = 10, then, p = 2f = 2 • 10 = 20 If p = 300 then, f = 300/2 = 150, If f = 20, then, p = 2f = 2 • 20 = 40 So, Table as follows:
Number of friends cost of party
50 100
10 20
150 300
20 40
Select whether to use the Pythagorean Theorem or its converse in each situation.
Pythagorean Theorem
Converse
Anight triangle has sides
of length 3 cm and 4 cm.
What is the length of its
hypotenuse?
A triangle has sides of
length 10 m, 15 m, and 8 m,
Is it a right triangle?
A square has sides of length
2 om. What is the length of
its diagonal?
A right triangle has one side
that is 15 ft. Its hypotenuse
is 17 ft. How long is the
other side?
1. Pythagorean theorem
2. Converse
3. Pythagorean theroem
4. Pythagorean theorem
Concept : Pythagorean theorem states that the sum of the squares of the base and height is equal to the square of the hypotenus Converse of Pythagorean theorem states that sum of squares of two sides are equal to the third side then it is a right angle triangle.How to Solve the problem?The problem can be solved by following steps.
1. The sides of the triangles given are 3 and 4
We need to find the third side that is hypotenus We will use the Pythagorean theorem to find the third side2. The three sides are given are 10m , 15m and 8m
We need to state that It is right angle triangle or notWe will use the converse of Pythagorean theoremto justify this statement.3. The side lengths of the squares given is 2cm
we need to find the length of the diagonal We will use Pythagorean theorem to find the length of the diagonal which will be the hypotenus of the triangle formed by diagonal in the square4. A side of Right Triangle given is 15ft and The hypotenus given is 17ft
We need to use the Pythagorean theorem to find the other side
Learn more about Pythagoras theorem here
https://brainly.com/question/343682
#SPJ2
i will give brainliest
Answer:
3532.5
Step-by-step explanation:
The formula for the volume of a cylinder is 3.14 times R^2 times H
I calculated it
Find the perimeter of the quadrant. Use 3.143.14 as an approximation for \piπ.
Answer: 19.625 cm (Formula is 2πr)
Steps: 1.) 3.14 * 12.5 = 39.25
2.) 39.25 * 2 = 78.5
3.) 78.5 / 4 = 19.625 (using the 4 because the area is a fourth of a whole circle)
I don't understand this... please help :(
Answer:
Radius is the distance from the center of the circle to the edge (if you were to cut just a slice of pizza)
diameter is directly in the middle from one end to the other (if you were to cut the pizza in half)
this means that the diameter is DOUBLE the radius
circumference is the length of the outside of the circle (so the length of the pizza crust)
this one is tricky because to find circumference you need to do [tex]2\pi r[/tex] (r is the value of the radius)
so for problem 1 the radius is 3 cm (the line is equivalent to if you were trying to cut out one slice of pizza)
the diameter is DOUBLE the radius, so if you were to cut the pizza in half all the way it would be 6 cm
and the circumference ([tex]2\pi r[/tex]) is 2 * pi * 3 cm
because it says to round pi to 3.14, the circumference would be 18.84
lmk if this wasn't a good explanation or if you want help on the other problems too
To convert Celsius temperatures to Fahrenheit, you can use the expression (C + 32). Tom says that another way to write this expression is C + 32.
What error did Tom make?
A. Tom did not make an error.
B. Tom should have simplified the fraction .
C. Tom did not distribute to both terms in parentheses.
D. Tom should have added inside the parentheses before multiplying.
Answer:
a
Step-by-step explanation:
:D PLZ HELP WITH MI MATH
18cm square
I think domt know
the owner of a canoe rental shop is comparing the average monthly rainfall, in inches, to the number of canoe rentals per month. the data shows in the scatter plot.
Which sentence correct describes the best data. (Select all that apply)
A) the data have a linear association
B) The data have a nonlinear association
C) The data have a positive association
D) The data have a negative association
E) The data have at least one outliner
F) The data has no outliners
Answer:
A & D & E
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINILEST
for A you should take each plotted point and change the sign of the x values. for example (-1,3) should become (1,3) and (-4,4) should become (4,4)
for B take each point and flip the variables and x's sign. (-1,3) should become (3,1)
for C take every x value and subtract 2. (-1,3) should become (-3,3)
for D take each point and flip the variables and y's sign. (-1,3) should become (-3,-1)
Use the remainder theorem to find P(−2) for P(x) = 2x^4+2x^3−2x-4
Specifically, give the quotient and the remainder for the associated division and the value of P(−2).
-The Answer should have the Quotient and Remainder for points.
Answer:P(2) = 2(2)³ - 2(2)²- 3
= 16 - 8 - 3
= 5
Remainder or value of P(2) = 5
Quotient = (2x³- 2x² - 3)/ x-2 = 2x² + 2x + 4
Step-by-step explanation:
Answer:
P(2) = 2(2)³ - 2(2)²- 3
= 16 - 8 - 3
= 5
Remainder or value of P(2) = 5
Quotient = (2x³- 2x² - 3)/ x-2 = 2x² + 2x + 4
Step-by-step explanation:
Tommy made $72 for mowing 9 lawns. How much money would he make for mowing 15 lawns?
What number does x represent in the equation below?
3x + 7 = 34
one platter has 6 veggie wraps, 12 turkey wraps and costs 64.50 another platter has 8 veggie wraps 8 turkey wraps and costs $56
Which system of equations represents the situation if x represents the cost of a veggie wrap and y represents the cost of a turkey wrap?
A.12x + 6y = 568x + 8y = 64.50
B.6x + 12y = 64.508x + 8y = 56
C.x + 2y = 64.50x + y = 56
D.6x = 64.508y = 56
Answer: $3.25
Step-by-step explanation: The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
So, the correct option is option (B).
To understand the calculations, check below.
Linear simultaneous equation:Simultaneous linear equations are the system of two linear equations in two or three variables that are solved together to find a common solution. The simultaneous linear equation is represented as follows:
[tex]a_1x+b_1y=c_1\\a_2x+b_2y=c_2[/tex]
It is given that,
[tex]x[/tex] represents the cost of a veggie wrap and [tex]y[/tex] represents the cost of a turkey wrap.
Now, using the first part of the given question we get,
[tex]6x+12y=64.50...(1)[/tex]
Again in the second part of the given question is 8 veggies wraps 8 turkey wraps and costs $56 then we get the equation as,
[tex]8x+8y=56...(2)[/tex]
Then from equations (1) and (2) we get the equation as,
[tex]6x+12y=64.50\\8x+8y=56[/tex]
Learn more about the topic of Linear simultaneous equation:
https://brainly.com/question/10700481
Help me pleaseeeee!! <3
Which statement below is true?
A. All squares are rectangles because both are quadrilaterals, have 90 degree angles and the opposite sides are parallel.
B. All trapezoids are rectangles because the opposite sides are parallel.
C. All parallelograms are rhombus' because they have 4 congruent sides and the opposite sides are parallel.
D. All rectangles are trapezoids because all the sides are parallel.
Answer:
its a it's not c I did the test it'd A
Step-by-step explanation:
What is the slope of the line that passes through the points listed in the table?
A. -3
B. 3
C. 5
D. 7
Answer:
C
Step-by-step explanation:
took the test
A function f(x) is shown below.
f(x) = x + x + x
Write an equivalent form of f(x) in function notation that contains only one term on the right side of the equation.
Answer:
f(x) = 3x
Step-by-step explanation:
when adding x (the same variable) to eachother when there is nothing in front, you always assume the coefficient is 1. since there are 3 x's, (1)x+(1)x+(1)x=3x. hope this helps:)
5. What are 3 true statements you can claim based on
the proportional relationship between the time (hrs)
driving & the distance (mi) driving. (find 3 points
yourself)
Answer: 1 hour is equal to 46 miles 2 hours is 92 miles and 20 hours is 920 miles
Step-by-step explanation:
92/2 = 46 miles
46 x 2 = 92 miles
46 x 20 = 920
If your really good at functions can you plsss help me with this function task plsss i am really confused and stuck
Show how you calculate the rate of change
for function A . (from the table)
Show how you calculated the rate of change for function B, (from the graph)
Answer:
A. 2
B. 3
Step-by-step explanation:
Remember that the slope of a function is rise over run, or change in y over change in x
The "formula" for this would be [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where you're plugging in the values of the corresponding points (x1, y1) and (x2, y2)
I know all the x's and y's seem confusing but it'll make more sense once we actually apply it
Let's actually start with function b, since there is a graph to help you visualize this. The slope is how many squares up the line travels after going right 1 square. For example, look at the point (1,1) and count how many squares up it goes until the next point (2,4)
Its 3 squares up! and from (1,1) to (2,4) we've moved to the right only one square
so per every 1 square to the right, we move up 3
3/1 = 3, so the slope for b is 3
Note that you can do this with any two points on this graph, so if you started with the same point (1,1) and this time you counted all the way to (4,10), you would find that for 3 squares to the right, you go up 9
but now we need to find how far up you go for ONE square,
so you would do 9/3 = 3
3 up per one square over!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
okay, now let's apply this to function A
for this next step, remember that this works for any two points on the line
you can see that when x is at 1, y is at 5, so that represents a point at (1,5)
there is also a point at (2,7)
now imagine in your head you are looking at line that goes from (1,5) to (2,7)
how far up does the line go? Because you are going from 5 to 7, it goes up 2. If you're working with bigger numbers you can simply subtract, like 7-5 = 2.
next we need to know how far over the line goes. The x values go from 1 to 2, so that means you move one square to the right. This makes sense because 2-1 = 1
so, per every 1 square over, you move up 2, and therefore the slope is 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
I hope this helps, let me know if you need some clarification :)
Jamie goes to school 5 times a week. Determine the equation if w represents the number of weeks and t represents the total number of times Jamie went to school
A. t = 5w
B. w = 5t
C. t = 5 + w
D. w = 5 + t
Answer:
t=5w
Step-by-step explanation:
because if you multiple 5 days by the number of weeks (w) Jamie attends schools you will get t which is the total number times Jamie goes to school.
Answer:
A. t = 5w
Hope this helps!
Can someone explain how linear function is used in math and how it works
Answer:
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. ... It is also known as the slope and gives the rate of change of the dependent variable.
Step-by-step explanation:
Credit: http://www.columbia.edu/itc/sipa/math/linear.html#:~:text=Linear%20functions%20are%20those%20whose%20graph%20is%20a%20straight%20line.&text=A%20linear%20function%20has%20one,the%20dependent%20variable%20is%20y.&text=It%20is%20also%20known%20as,change%20of%20the%20dependent%20variable.
Use that website! It's helpful to me! :)
A retired math teacher takes his granddaughter shopping. He tells his granddaughter that they can
spend x dollars and 15x = 583.5. What operation does the granddaughter need to use to find how
much money they can spend?
Choose the correct answer below.
A. Division
B. Multiplication
C. Subtraction
D. Addition
Answer:
A
Step-by-step explanation:
you would divide both sides by 15 to isolate x and find out what x is.
Answer:
Answer Option (4) is c
Step-by-step explanation:
Absolute value is the number's distance from 5 on a number line.
True
False
Answer:
True
Step-by-step explanation:
I'm also reporting the previous answer that had a link, mark me as brainliest, not the cutt link or whatever link that is because i somehow know that it's wrong
Answer:
False
Step-by-step explanation:
the absolute value is the distance from zero on the number line.
Please follow the directions. No need to explain.
Answer:1/6
Step-by-step explanation:
correct me if i’m wrong haven’t done math in a while lol
does anyone know this pls help
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds.
Select all the equations that describe this situation
a
x + 3 = 14
b
3x = 14
c
x= 14 - 3
d
x = 14 ÷ 3
Question 2 (2 points)
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?
x+3=14
a
x= 42 lbs
b
x= 17 lbs
c
x=11 lbs
d
x=14 lbs
Question 3 (2 points)
Each notebook contains 60 sheets of paper. Andre has 5 notebooks.
Select all the equations that describe this situation
a
y = 60 ÷ 5
b
y = 5 ⋅ 60
c
y ÷ 5 = 60
d
5y = 60
Question 4 (2 points)
Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?
y=5⋅60
a
y= 60 sheets
b
y=300 sheets
c
y=30 sheets
d
y=600 sheets
Question 5 (2 points)
Solve the equation.
2x=5
a
x= 5-2
b
x= 5 +2
c
x= 5/2
d
x= 5x2
Question 6 (2 points)
Solve the equation.
y + 1.8 = 14.7
a
y= 16.5
b
y= 8.1
c
y= 12.9
d
y= 14.7
Question 7 (2 points)
Solve the equation.
6=1/2z
a
z= 3
b
z=18
c
z= 12
d
z= 1/2
Question 8 (2 points)
Solve the equation.
a
w= 3
b
w= 2.5
c
w= 1 and 3/4
d
w= 2 and 3/4
Question 9 (2 points)
Solve the equation.
2.5t = 10
a
t= 4
b
t= 5
c
t= 2.5
d
t= 10
Question 10 (2 points)
Solve the equation.
3x= 18
a
x=15
b
x=5
c
x=2
d
x=6
and get branlest for all and awser righit wish you the best of luck
EXPERT HELP I'LL GIVE BRAINLIEST: EXPLAIN THE ANSWER PLEASE
Answer:
d
Step-by-step explanation:
4x4=16
15x4x0.5=30
10x10=100
110+16=146
Murray spins the pointer of the spinner shown in the image. Which of the following accurate represents the sample space?
A. {A, A, Y, Y, 3, 3, 5, 5}
B. {2/10}
C. {A, Y, 3}
D. there is no sample space.
Answer:
I say B lol
Step-by-step explanation:
The diameter of a pizza is 14 inches. The pizza has 8 slices of equal size. Which of the following is the closest to the area of a slice?
Answer:
Step-by-step explanation:
First let us find the area of the whole pizza. Area of a circle is:
[tex]A=\pi r^2[/tex]
Then, we have diameter as:
[tex]diameter\div2=radius[/tex]
So, then using these formulas we would have,
[tex]16\div2=8\\A=8\pi \text{ or }25.12[/tex]
Now, one slice is [tex]\frac{1}{8}[/tex] of the entire pizza. So, we would have:
[tex]8\pi\div8=1\pi\\\text{ or }\\25.12\div8=3.14[/tex]
HOPE THIS HELPS!!!!!!!!Which would neatly fill the gap in the prism shown below? Check all that apply. A prism has a length of 2 and one-half, height of 3, and width of 2. 12 blocks are inside of the prism. 6 blocks each measuring One-fifth times 1 times 1 12 blocks each measuring One-fourth times 1 times 1 6 blocks each measuring One-third times 1 times 1 6 blocks each measuring One-half times 1 times 1 2 blocks each measuring 1 times 1 times 1
Answer:
12 blocks each measuring One-fourth times 1 times 1 and6 blocks each measuring one third times one time 1
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation: