First, let's calculate the total cost for food. We know that we have 20 people to feed, and it costs $5 to provide food for each person. Therefore, we multiply the number of people by the cost per person to get the total cost for food. That would be:
20 people * $5/person = $100
So, the total cost for food is $100.
Next, let's calculate the total cost for the games. We're assuming that each person is playing x number of games, and that each game costs $1 to play. Therefore, we multiply the number of people by the cost per game and the number of games each person plays to find the total cost for games:
20 people * $1/game * x games = $20x
So, the total cost for the games depends on the number of games that each person plays.
If we want to find out the total cost of the party, we need to add the total cost for food and the total cost for games. This can be represented as:
$100 + $20x
This means the total cost of the party will be $100 plus $20 times the number of games each person plays. The exact total cost will depend on the value of x, i.e., the number of games each person plays.
If negative 5C +6 equals -69 what is the value of 6c-15
-5c + 6 = -69
-5c = - 75
c = 15
6c - 15
6(15) - 15
90 - 15
75
If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)
( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
[tex]\frac{1}{2}[/tex] (2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
[tex]\frac{1}{2}[/tex] (8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )
when does a figure have rotational symmetry
Choose an object and rotate it up to 180 degrees around its center. If at any point the object appears exactly like it did before the rotation, then the object has rotational symmetry.
Step-by-step explanation:
We are asked to determine when does a figure have rotational symmetry.
We know a figure has a rotational symmetry, when the figure maps onto itself after rotating it less than 180 degrees.
In other words, we can say it is the property that a shape has when it looks the exactly same after some rotation.
When a figure maps onto itself exactly at 180 degrees, then the figure has a point symmetry.
Therefore, a figure has rotational symmetry if it maps onto itself after a rotation less than 180 degrees.
Which ordered pair is a solution of the equation Y=- 7X +2
Answer:
neither
Step-by-step explanation:
thirty students are eating at 5 lunch tables. each table had the same number of stdents. how many students are sittimg at each table?
How much of an alloy that is 10% copper should be mixed with 600 ounces of an alloy that is 60% copper in order to get an alloy that is 20% copper?
Answer:
1800 oz.
Step-by-step explanation:
There are already 600 ounces of alloy of nickel.
Of this 600 oz, 50% is pure i.e. copper content = 600(0.5) = 300 oz
Now available is
Copper Other metals
300 300
Let x oz of 10% copper is added.
Then new alloy will have 300+0.1x oz copper in total of 600+x oz.
Percentage pure = [tex]\frac{300+0.1x}{600+x} =20%[/tex]
Simplify to get
[tex]\frac{300+0.1x}{600+x} =\frac{20}{100} \\\\Cross multiply:\\20(600+x) =100(300+0.1x)\\12000+20x =30000+10x\\10x = 18000\\x = 1800[/tex]
Hence answer is 1800 oz should be added.
12y+d=−19y+t
Solve for y
Hi!
Solve for d.
[tex]12y+d=-19y+t[/tex]
Subtract by 12y from both sides.
[tex]12y+d-12y=-19y+t-12y[/tex]
[tex]Answer---> d=-31y+t[/tex]
Solve for y.
Add 19y from both sides.
[tex]d+12y+19y=t-19y+19y[/tex]
[tex]d+31y=t[/tex]
Add d from both sides
[tex]d+31y+-d=t+-d[/tex]
[tex]31y=-d+t[/tex]
Divide by 31 from both sides.
[tex]\frac{31y}{31}=\frac{-d+t}{31}[/tex]
[tex]Answer ----> y=\frac{-1}{31} d+\frac{1}{31}t[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Need help with number 60 plz. Multi-step math :)
Problem 60)
Solution
Part 1
Joy earns $8 per hour. She earns $128 per month.
The number of hours worked in each month = 128/8 = 16 hours.
She works 16 hours each month in order to earn $128.
Part 2
After six months she gets a $2 per hour raise.
Now her earning per become $10.
She works 16 hours each month.
Joy earning per month = 16*10 = $160.
Hope you will understand the solution. Thank you :)
Best answer will get Brainliest! A circular picture is 8 inches in diameter. Part A What is the area of the picture in square inches?
A. 4 π square inches
B. 8 π square inches
C. 16 π square inches
D. 32 π square inches
Part B A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 4 π square inches
B. 12 π square inches
C. 36 π square inches
D. 40 π square inches
We have to apply the formula to calculate the area of a circle. Area = π *R²
But since they have given us the diameter we have to divide it by two to obtain the radius.
R = diameter/2 = 8inches/2 = 4inches
Now we apply this value in the area formula :
Area = π *R² = (4 inches)²*π = 16inches²π = 16 π square inches
Answer A] : C.) 16 π square inches
Part BIf a 2-inch frame surrounds the figure, then we now have a circle with the radius increased by 2 inches.
R = 4 inches + 2 inches = 6 inches
Now we apply this new value in the area formula :
Area = π *R² = (6 inches)²*π = 36inches²π = 36 π square inches
Answer B] = C.) 36 π square inches
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
Quiz: 4.12: Step Functions
I'll give brainliest!!!
Please Help me
#4 How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉?
Multiplying by 2 compresses the graph of g(x)=2⌈x⌉ vertically by a factor of 2.
Multiplying by 2 shifts the graph of g(x)=2⌈x⌉ up 2 units.
Multiplying by 2 shifts the graph of g(x)=2⌈x⌉ down 2 units.
Multiplying by 2 stretches the graph of g(x)=2⌈x⌉ vertically by a factor of 2.
#5 How does the graph of g(x)=⌊x⌋−3 differ from the graph of f(x)=⌊x⌋?
The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.
The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted right 3 units.
The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted left 3 units.
The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted up 3 units.
Question 4: The correct option is d. Multiplying by 2 stretches the graph of g(x) = 2⌈x⌉ vertically by a factor of 2.
Question 5: The correct option is a. The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.
Question 4:
The graph illustrates the functions f(x) = ⌈x⌉ and g(x) = 2⌈x⌉. Multiplying by 2 does not compress or shift the graph vertically, but rather stretches it. Each step on f(x) has a height of 1 unit, while on g(x), the steps have a height of 2 units.
This indicates that g(x) is a vertical stretch of f(x) by a factor of 2. The red dotted lines highlight the vertical distance between corresponding steps of f(x) and g(x), showing that g(x) is indeed twice the height of f(x) at every step. Therefore, the correct statement is:
Multiplying by 2 stretches the graph of g(x) = 2⌈x⌉ vertically by a factor of 2.
The representation of the graph is given below.
Question 5:
The graph demonstrates the functions f(x) = ⌊x⌋ and g(x) = ⌊x⌋−3. The graph of g(x) is identical in shape to the graph of f(x), but it is shifted downward by 3 units. This is visually represented by the dashed line of g(x), which follows the same step pattern as f(x) but is consistently 3 units lower across the entire domain.
Therefore, the correct statement is:
The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.
The representation of the graph is given below.
The parents are making sandwiches for the class picnic. They have 72 turkey slices and 18 cheese slices what is the greatest number of sandwiches they can make if each sandwich has the same filling
To determine the maximum number of sandwiches that can be made with the given turkey and cheese slices, we need to divide the total number of each type of slice by the number of slices needed for one sandwich. The minimum of these two results gives us the maximum number of sandwiches. In this case, the maximum number of sandwiches that can be made is 18.
Explanation:To find the greatest number of sandwiches they can make, we need to determine how many sandwiches can be made with the available turkey slices and cheese slices. Since each sandwich has the same filling, we need to divide the number of slices of each type by the number of slices needed for one sandwich.The number of sandwiches that can be made with the turkey slices is determined by dividing the total number of turkey slices by the number of turkey slices needed for one sandwich. Similarly, the number of sandwiches that can be made with the cheese slices is determined by dividing the total number of cheese slices by the number of cheese slices needed for one sandwich.We want to make the maximum number of sandwiches, so we take the minimum of the two results. This ensures that we have enough filling to make as many sandwiches as possible without running out of any particular type of filling.In this case, we have 72 turkey slices and 18 cheese slices.
Let's assume each sandwich requires 2 turkey slices and 1 cheese slice. The number of turkey sandwiches that can be made is 72 divided by 2, which equals 36. The number of cheese sandwiches that can be made is 18 divided by 1, which equals 18.Therefore, the maximum number of sandwiches that can be made is the minimum of the number of turkey sandwiches and the number of cheese sandwiches, which is 18.
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The sum of the base and the height of a triangle is 30 cm. Find the dimensions for which the area is a maximum.
The triangle with the maximum area has a height of ____cm and a base of ____cm
If the sum of the base and the height are 30, then b+h=30 or h=b-30.
Remember that the area of any triangle is A=½bh.
If you substitute in b-30 for h, then you create a function for the area in terms of the base.
A = ½b(30-b)=15b-½b2
The maximum area would be at the vertex of the parabola that would result from the function. We can graph to find the max, but there is a simple formula for the x-coordinate of the vertex: -b/2a where b=the linear coefficient and a=the quadratic coefficient.
-15/2(-½)=15 meaning that a base of 15cm would provide the maximum area. The corresponding height would be 30-15 or 15cm as well.
Mark me as brainlest plz
The maximum area of a triangle where height plus base equals 30 cm occurs when both the base and height of the triangle are 15 cm each.
Explanation:This is a problem of maximization. It's based on the principle that a right triangle will have its largest area when the two legs (in this case, the base and the height) are equal. This maximizes the product of the two dimensions. As a result, both the base and the height of the triangle are each 15 cm.
Here are the steps to confirm this: let's denote the base as b and the height as h. The area (A) of a triangle is given by the formula A = 0.5*b*h. Given that the sum of base and height is 30 cm (b + h = 30), we can substitute h = 30 - b into the area formula, giving A = 0.5*b*(30 - b).
By applying the quadratic formula, you find that the maximum area of the triangle is achieved when b = 15 cm. Because the sum of base and height is 30, we then find that h = 15 cm.
So, for maximum area, both base and height should be 15 cm.
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Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What was the price of each?
Hey there!!
The total cost is $52.
She paid $12 more for the layer cake than the cupcake.
Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x
The sum of these would result in $52.
... x + x + 12 = 52
... 2x + 12 = 52
... 2x = 52 - 12
... 2x = 40
... x = 20
Hence, the price of the cupcake is $20 and the price of the layer cake is $32.
Hope my answer helps!!
The volume of a rectangular prism can be computed using the formula v= Iwh what is the length of a prism that has a volume of 1334 cubic cm a width of 8 cm and height of 12 cm ?
A. 896 cm
b. 14 cm
c. 18 cm
d. 111cm
Answer:
Length of the prism is 18.8958cm (Rounded off to four decimal places)
Step-by-step explanation:
Volume of a rectangular prism = Length * Width * Height
Volume of the rectangular prism = [tex]1334cm^{3}[/tex]
Width of the prism = 8cm
Height of the prism = 12cm
We need to find the length of the Prism,
For that first make the Length as subject of the equation,
Length = [Volume of the rectangular prism/(Width * Height)]
=[tex]1334cm^{3}[/tex]/(8cm*12cm)
=[tex]1334cm^{3}[/tex]/[tex]96cm^{2}[/tex]
=18.8958cm (Rounded off to four decimal places)
What is a third variable condition that could create the following correlation? The popularity of online job portals is correlated to the number of people changing jobs. A. internet connectivity B. peer pressure C. lots of available jobs D. health benefits E. availability of better technology
b hope this helps i think
Answer:
C lots of available jobs
a plane flew 187 miles from New York city, to Boston Massachusetts. it therefore 273 miles from Boston to Philadelphia, Pennsylvania. the plane flew the same distance on the return trip. how many miles did the plane fly?
Answer:
920 miles
Step-by-step explanation:
Distance from New York City to Boston Massachusetts = 187 miles
Distance from Boston to Philadelphia, Pennsylvania = 273 miles
Total Distance of one side = 187 + 273
Total Distance of one side = 460 miles
The return distance will be the same that is 460 miles.
Total Distance of both sides = 460 + 460
Total Distance of both sides = 920 miles
Therefore, the plane flew total 920 miles.
!!
How to solve |3x-6|<30
[tex]|3x-6|<30 \\\\|x-2|<10\\\\x-2<10 \wedge x-2>-10\\\\x<12 \wedge x>-8\\\\x\in(-8,12)[/tex]
[tex]Solution, solve\:for\:x,\:\left|3x-6\right|<30\quad :\quad -8<x<12[/tex]
[tex]Steps:[/tex]
[tex]|f\left(x\right)|<a\quad \Rightarrow \:f\left(x\right)<a\quad \mathrm{and}\quad \:f\left(x\right)>-a, 3x-6<30\quad \quad \mathrm{and}\quad \:\quad \:3x-6>-30[/tex]
[tex]3x-6<30\quad :\quad x<12[/tex]
[tex]3x-6>-30\quad :\quad x>-8[/tex]
[tex]\mathrm{Combine\:the\:ranges}, -8<x<12[/tex]
The correct answer is -8<x<12
Choose the true statement.
-2 < -3
-2 > -3
-2 = -3
-2>-3
Because -2 is less far down than -3.
Which equation demonstrates the distributive property?
A)
20 + 36 = 56
B)
20 x 36 = 36 x 20
C)
20 + 36 = 4(5 + 9)
D)
(5 + 9)4 = 4(5 + 9)
Answer:
C) 20 + 36 = 4(5 + 9)
Step-by-step explanation:
The distributive property:
a(b + c) = ab + ac
Therefore your answer is C)
4(5 + 9) = (4)(5) + (4)(9) = 20 + 36
Answer: c
Step-by-step explanation: 20 + 36 = 36 x 20
Mercury melts at 38
below zero .write this temperature as an integer
"38 below zero" can be displayed as -38.
The negative sign implies that the number is whatever the value is less than the value of 0.
Thus, -38 + 38 = 0.
the integer is -38 because an integer can not be a fraction or a decimal.. and the problem says that mercury melts at 38 below zero, so, this would be 0-38=-38
What is the maximum value of the objective function, P, with the given constraints?
P=20x+35y
x+y≤12
5x+y≤20
x≥0
y≥0
80
390
420
700
Answer:
Option C - 420
Step-by-step explanation:
Given : Objective function, P, with the given constraints
[tex]P=20x+35y[/tex]
Constraints,
[tex]x+y \leq 12[/tex]
[tex]5x+y \leq 20\\x \geq 0\\y \geq 0[/tex]
To find : What is the maximum value
Solution :
First we plot the graph through the given constrains.
As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)
Refer the attached figure.
So, we put all the points in P to, get maximum value.
[tex]P=20x+35y[/tex]
Point (0,0)[tex]P=20(0)+35(0)=0[/tex]
[tex]P=20x+35y[/tex]
Point (0,12)[tex]P=20(0)+35(12)=420[/tex]
Point (2,10)[tex]P=20(2)+35(10)=40+350=390[/tex]
Point (4,0)[tex]P=20(4)+35(0)=80[/tex]
Therefore, The value is maximum 420 at (0,12)
So, Option C is correct.
Answer:
420
Step-by-step explanation:
A band earns 2/3 of their profit from selling concert tickets and 1/5 of their profit from selling merchandise. The band earns $1500 from selling concert tickets. How much money does the band earn from selling merchandise?
The band makes $300 from selling merchandise.
I found this out by finding the LCD for 3 and 5, which is 15.
Then I multiplied the 2 from 2/3 by 5, and the 1 from 1/5 by 3, which results in 10/15 and 3/15.
Next I divided 1500 by 15, which is 100.
Then I multiplied 100 by 3, and got 300.
The band earns $450 from selling merchandise.
Explanation:To find out how much money the band earns from selling merchandise, we need to determine what fraction of their profit comes from merchandise sales. We know that the band earns 2/3 of their profit from selling concert tickets, which equals $1500. Let's use this information to find the total profit.
Since 2/3 of the profit is $1500, we can find the total profit by multiplying $1500 by 3/2. $1500 x 3/2 = $2250. Therefore, the total profit the band earns is $2250.
Next, we need to find out how much money the band earns from selling merchandise, which is 1/5 of the total profit. To find this amount, we can multiply the total profit of $2250 by 1/5. $2250 x 1/5 = $450. So, the band earns $450 from selling merchandise.
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What are the factors of m2-6m+6m-36
m^2-36
(m+6)(m-6)
or
m(m-6)+6(m-6)
(m+6)(m-6)
PLEASE HELP!! ASAP!!! 20 POINTS. David proved the Law of Cosines with reference to triangle abc using a different method.Arrange the steps of his proof in the correct sequence
Answer:
Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.
Step-by-step explanation:
The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.
Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.
the sum of three consecutive odd numbers is 81.What is the smallest of the three numbers?
The three consecutive numbers are 25,27,29. The smallest is 25
Evaluate the expression when x = 2
Pls help forgot to do this
The surface area of a rectangular prism is the sum of the areas of its faces added together. From the picture, we can see that the prism is constructed of 4 faces that measure 7 cm by 9 cm and 2 faces that measure 7 cm by 7 cm.
The area of one 7 cm by 9 cm face is 63 cm². Together, all four of the faces add up to 252 cm².
The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².
Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².
A scientist is working with 1.3 m of gold wire use the facts to find how long this is in millimeters
there are 1300 millimeters in 1.3 meters
1 meter = 100 centimeters
1 centimeter = 10 millimeters
So 1 meter = 100(10) millimeters = 1000 millimeters
Then 1.3 meters = 1300 millimeters
Nine less than five times a number is equal to -30
To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.
The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.
5x - 9 = -30
Get all terms with x on one side and the constants on the other
5x - 9 +9 = -30 + 9
Simplify
5x = -21
Now, we can divide both sides by 5 to get our answer of x = -[tex]\frac{21}{5}[/tex]
An equation can be formed with the given information.
"Nine less than" → -9
"Five times a number" → 5x
"Is equal to -30" → =-30
So our given equation is: 5x-9=-30
To solve this, first add 9 on both sides of the equation.
5x-9+9=-30+9
5x=-21
Divide both sides by 5 for x.
[tex]\frac{5x}{5}[/tex]=[tex]\frac{-21}{5}[/tex]
x=[tex]\frac{-21}{5}[/tex] , or -4.2.
I need help with the question above in the picture
First you would need to simplify.
4³=64
100/24=4
5 ^0= 1 (anything to the power of 0 is 1)
So your equation now looks like 64 * 4 - 1
Your answer would be 255.
PEMDAS: Parentheses, Exponents, Multiplication & Division, Addition & Subtraction. This is the order that operations are to be performed.
First, Parentheses
4³ * [tex](\frac{100}{25})[/tex] - 5⁰
= 4³ * 4 - 5⁰
Next, Exponents
4³ * 4 - 5⁰
= 64 * 4 - 1
Then, Multiplication & Division
64 * 4 - 1
= 256 - 1
Last step, Addition & Subtraction
256 - 1
= 255
Answer: 255