Let's use an equation to solve this problem.
[tex]y=24x+16[/tex]
Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.
[tex]57=24x+16[/tex]
[tex]41=24x[/tex]
[tex]x=\frac{41}{24}[/tex]
Which simplifies around to $1.71 dollars.
Hope this helps.
頑張って!
Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether. Explain how you know
Answer:
15 pints of paint 6 red 9 yellow
Step-by-step explanation:
3x3=9 so 9 yellow pints
and 2x3=6 so 6 red pints
6+9=15 so 15 pints of paint in total
Si la época prehistórica sucedió desde hace 2.5 millones de años a.C., hasta hace 2.500 años a.C.; el período Paleolítico (2.5 millones de años a.C. Hasta 10.000 a.C.; el Mesolítico 10.000 a.C. Hasta 5.000 a.C. Y, el Neolítico sucedió desde el 5.000 a.C. Hasta el 2.500 a.C. ¿A qué fracción de la época prehistórica corresponde el período paleolítico? *
Answer:
El período paleolítico corresponde a [tex]\frac{332}{333}[/tex] de la época prehistórica.
Step-by-step explanation:
En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)
Época Prehistórica
[tex]\Delta T = -2500-(-2500000)[/tex]
[tex]\Delta T = 2497500\,years[/tex]
Período Paleolítico
[tex]\Delta t = -10000 - (-2500000)[/tex]
[tex]\Delta t = 2490000\,years[/tex]
La fracción de la época prehistórica que corresponde al período paleolítico es:
[tex]r = \frac{\Delta t}{\Delta T}[/tex]
[tex]r = \frac{2490000\,years}{2497500\,years}[/tex]
[tex]r = \frac{332}{333}[/tex]
El período paleolítico corresponde a [tex]\frac{332}{333}[/tex] de la época prehistórica.
Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be
Answer:
0.05 mile per minutes
Step-by-step explanation:
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered
Miles covered = 1 mile
Time covered = 20 minutes
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)
= 1 mile / 20 minutes
= 0.05 mile per minutes
20 minutes
= 20 × 60 seconds
= 1200 seconds
Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)
= 1 mile / 1200 seconds
= 0.0008333333333 miles per seconds
Approximately 0.000833 miles per seconds
the library is having a fall festival to raise money ashley spend 3.60 on popcorn 0.75on a drink and 5.00 to ride the ferris wheel how much money did ashley spend at the fall festival
Answer:
$9.35
Step-by-step explanation:
To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.
Popcorn $3.60
Drink $0.75
Ride $5.00
Total Cost $9.35
I hope this helps!
-TheBusinessMan
Answer:$9.35
Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35
I NEED SERIOUS HELP NOW PLZ
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.
Answer:
Step-by-step explanation:
Hello,
[tex](y-9)^2=(y-9)(y-9)=y^2-2*9*y+9^2=y^2-18y+81[/tex]
thanks
Answer:
yes
Step-by-step explanation:
1.5r+15=2.25 just need help to show steps
Answer:
Step-by-step explanation:
Step 1: Subtract 15 from both sides.
1.5r+15−15=2.25−15
1.5r=−12.75
Step 2: Divide both sides by 1.5.
1.5r
1.5
=
−12.75
1.5
r=−8.5
Answer: r=-8.5
Step-by-step explanation:
1.5r+15=2.25
1.5r+15-15=2.25-15
1.5r=-12.75
1.5r/1.5=-12.75/1.5
r=-8.5
PLEASE HELP meeeeeeee
======================================================
Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
-----------------------
Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
-------------------------
Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
--------------------------
In summary, we found...
x = 1 is the y intercept of f(x)x = 2 is the y intercept of g(x)Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
А
B
1. Village A, B and C lie on the edge of the Namib Desert.
Village A is 30 km due North of Village C. Village C is 65 km
due East of A.
Calculate the shortest distance between village C and B,
giving your answer to the nearest 0.1km
How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800
Answer:100/400
Step-by-step explanation:
The answer is 10 calories per minute, will tai burn in 1 minute while biking.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
We do not have much information to go on such as the speed that Tai is biking or his/her weight.
Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.
Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.
Therefore we can assume that Tai is burning roughly 10 calories per minute.
his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.
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complete question:
How many calories will tai burn in 1 minute while biking? Enter the answer in the box.
A water tank is 2/3 full. 40 litres of water are taken from the tank. The tank is now 1/2 full. How many litres does the tank hold when full?
⅔ - ½ = 4/6 - 3/6 (make denomenator the same)
= 1/6
Thus, 1/6 = 40 litres
A full tank is 6/6 which equals to 1 whole
So,
1 unit (from 1/6) = 40 litres
6 units (from 6/6) = 40 × 6
= 240 litres
Therefore, the tank holds 240 litres when it is full.
( i hope my solution helps :3 )
The number of liters does the tank hold when full is 240 liters.
Number of litersFormulate
x=40÷⅔ - ½
Let find the common denominator
x=40÷4-3/6
Calculate the sum or the difference
x=40÷1/6
Divide the fraction
x=40×6
x=240 liters
Inconclusion the number of liters does the tank hold when full is 240 liters.
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2x-30+5x+2=2 plz help
Answer:
30/7
Step-by-step explanation:
So we have the equation:
[tex]2x-30+5x+2=2[/tex]
Combine like terms:
[tex](2x+5x)+(-30+2)=2[/tex]
Add:
[tex]7x-28=2[/tex]
Add 28 to both sides:
[tex]7x=30[/tex]
Divide both sides by 7:
[tex]x=30/7[/tex]
So, our answer is 30/7
Or approximately 4.2857 :)
How much should Jenna save up to prepare for car repairs and maintenance? (A lump sum emergency fund just for car repair/maintenance that may come up in the future)
Answer:
$500 per year.
Step-by-step explanation:
Car repairs and maintenance expense is based on the usage of car as well as its present condition. If the car is bought from showroom and is new then it will incur only small amount of expense as its maintenance but if the car is used by various owners then it is likely that maintenance expense can be huge. The average car repair expense is $500 to $800 per year depending on car condition. Since Jenna car is new she should keep the repair estimate to be minimum that is nearly $500 per year or $42 per month.
Danny is trying to determine the product between a rational and irrational number
Answer:
2√3=2√3, which is irrational
Simplify: -3(y+2)^2-5+6y
Answer:3y^2+18y+7
:) happy to help
Move. After the origin, (0,0), set the equation of EF is y=x. no record the coordinates of the vertices of a polygon ABCD. what are the coordinates of the vertices of the reflected polygon AefBefCefDef where EF is the line of reflection? enter the coordinates on the table
Answer:
Vertex Coordinate Vertex Coordinate
A (1, 1) AEF (1, 1)
B (2, 3) BEF (3, 2)
C (3, 2) CEF (2, 3)
D (2, 1) DEF (1, 2)
Step-by-step explanation:
Plato sample
We have wrote the coordinates.
What is an Expression?An expression is a number, a variable, or a combination of numbers and variables and operation symbols
How to solve it?We have
Vertex Coordinate Vertex Coordinate
A (1, 1) AEF (1, 1)
B (2, 3) BEF (3, 2)
C (3, 2) CEF (2, 3)
D (2, 1) DEF (1, 2)
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Solve for d. dt=v What is d equal to? A. d=vt B. d=t/v C. d=v-t D. d=v/t
Answer: I think the answer is "d = vt"
Step-by-step explanation:
Multiply both sides of the equation by;
t * d = v * (t)
Multiply, v by t
Answer; d = vt
Hope this helps :)
The value of d, is equivalent to d = v/t.
What is a function?
An expression in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). For example -
f(x) = 4x + 6
Given is the following equation -
dt = v
We have -
dt = v
d = v/t
Therefore, the value of d, is equivalent to d = v/t.
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Which represents a function
Answer:
the one on the right
Step-by-step explanation:
one input cannot have more than one output
I need to know about the gradient
Answer:
Step-by-step explanation:
Please help, Solve Systems of Linear Equations
Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation using elimination:
Solve the following system:
{3 x + 2 y - z = 8 | (equation 1)
2 z + 2 x = -4 | (equation 2)
3 y + x = 4 | (equation 3)
Subtract 2/3 × (equation 1) from equation 2:
{3 x + 2 y - z = 8 | (equation 1)
0 x - (4 y)/3 + (8 z)/3 = -28/3 | (equation 2)
x + 3 y+0 z = 4 | (equation 3)
Multiply equation 2 by 3/4:
{3 x + 2 y - z = 8 | (equation 1)
0 x - y + 2 z = -7 | (equation 2)
x + 3 y+0 z = 4 | (equation 3)
Subtract 1/3 × (equation 1) from equation 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x - y + 2 z = -7 | (equation 2)
0 x+(7 y)/3 + z/3 = 4/3 | (equation 3)
Multiply equation 3 by 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x - y + 2 z = -7 | (equation 2)
0 x+7 y + z = 4 | (equation 3)
Swap equation 2 with equation 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y + z = 4 | (equation 2)
0 x - y + 2 z = -7 | (equation 3)
Add 1/7 × (equation 2) to equation 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y + z = 4 | (equation 2)
0 x+0 y+(15 z)/7 = -45/7 | (equation 3)
Multiply equation 3 by 7/15:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y + z = 4 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract equation 3 from equation 2:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y+0 z = 7 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Divide equation 2 by 7:
{3 x + 2 y - z = 8 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract 2 × (equation 2) from equation 1:
{3 x + 0 y - z = 6 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Add equation 3 to equation 1:
{3 x+0 y+0 z = 3 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Divide equation 1 by 3:
{x+0 y+0 z = 1 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Collect results:
Answer: {x = 1 , y = 1 , z = -3
1) f(x) = 3x - 4
g(x) – x2 + 3x
Find f(g(x))
Answer:
x=4/3
Step-by-step explanation:
The length of a rectangle is 2 yards less than 3 times the width.The perimeter is 68 yards. Find the width
Answer:
length = (3*width) -2
length + 2 = 3*width
width = (length +2) / 3
2*length + 2*width = 68
OR: 2*length = 68 -2*width
If length = (3*width) -2 then
2*length = 6 * width -4
therefore,
6 width -4 = 68 -2 width
8 width = 72
width = 9
Since 2 length + 2 width = 68
then 2 length = 68 -2 width
2 length = 68 -18
length = 25
Step-by-step explanation:
Using inductive reasoning, what number is the most reasonable conjecture for the next number in the pattern 27,23,19,15,
Answer:
11
Step-by-step explanation:
The pattern here is to subtract by 4, so 15-4=11
Owen is fishing from a dock he starts with the bait 2 feet below the surface he reels out the boat 19 feet then reels it back in 7 feet what is the final position of the bait relative to the surface of the water
Answer:
The bait is 14 feet below the water surface
Step-by-step explanation:
Here, we want to know the final position of the bait relative to the surface of the water.
Firstly, he starts with the bait at 2 feet below the water surface. The reels out the bait a further 19 feet, the new position of the bait relative to the water surface will be 2 + 19 = 21 feet
Now, he reels the bait back by 7 feet.
Thus, the new depth of the bait relative to the water surface will be 21-7 = 14 feet
Find the distance between each pair of points
L(-7,0) ,Y(5,9)
Answer: The distance is 15
Step-by-step explanation:
To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.
-7-5= -12
0-9 = -9
12^2 + 9^2 = d^2 where d is the distance
144 + 81 = d^2
225 = d^2
d= [tex]\sqrt{225}[/tex]
d= 15
The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag
Answer: 15
Step-by-step explanation: 5/9=15/27. 27-15=12
The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.
What is Ratio?A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
For given information,
The ratio of yellow to blue skittles in the bag is 5:9
The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y
Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14
Fraction of the total skittles that are blue = 9/(5+9)= 9/14
The total number of skittles = Yellow + Blue
in this Y as yellow; Y+12 as blue.
Y + Y + 12 = 2·Y + 12
The fraction of the total skittles that are blue = 9/14
we have 9/14 × (2·Y + 12) = Y + 12
-> 9 × (2·Y + 12) = 14 × (Y + 12)
-> 18·Y + 108 = 14·Y + 168
-> 18·Y - 14·Y = 168 - 108 = 60
-> 4·Y = 60
-> Y = 60/4 = 15
∴ The number of yellow skittles in the bag = 15
The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.
Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.
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A 12.5 oz box of cereal has a price of $2.07. What is the unit ratio of price to weight rounded to the nearest cent?
Answer:
16 cents
Step-by-step explanation:
The answer is 16 cents because 207 cents divided by 12.5 oz equals 16 cents.
what is the value of x in the equation 3x-4y=65 when y=4 HELLP PLEEAASE !!!!
Answer: x=27
Step-by-step explanation:
How do you divide 506 in the ratio 2:4:5 ?
Answer:
Step-by-step explanation:
If the ratio is 2:4:5 there are 2+4+5=11 equal parts...
506/11=46
So each part is equal to 46 so 506 in a ratio of 2:4:5 is:
92:184:230
What is the value of 6 x 90.6 ?
Answer:
543.6
Step-by-step explanation:
=> 6 x 90.6
=> 543.6
C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
Total cost to produce 1000 shirts will be $3500.
Linear equation: A linear equation with two variables 'x' and 'y' are given by,y = mx + b
Here, m = constant
Given in the question,
Equation representing company's total cost C(x) and number of shirts 'x' as,
C(x) = mx + 500
Here, m = constant
And x > 0
If C(x) = $800, x = 100,800 = m(100) + 500
m = 3
Equation for the total cost to produce the 'x' shirts will be,
C(x) = 3x + 500
If x = 1000,C(x) = 3(1000) + 500
x = $3500
Therefore, total cost to produce 1000 shirts will be $3500.
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