Answer:
100
Step-by-step explanation:
Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar
.5*2=1
10*2=20
Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom
so now you have 1/20
for every one cup of sugar there are 20 cups of icecream
now you need to multiply both top and bottom by five
1*5=5
20*5=100
5/100
You can make 100 cups of ice cream
*don't forget to label your answer with cups of ice cream*
100 cups of ice cream can be made with 5 cups of sugar.
What are comparing quantities?
Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
It is given that,
10 cups of ice cream requires = 0.5 cup of sugar
⇒ 1 cup of sugar = 10/0.5 cups of ice cream
⇒ 1 cup of sugar = 20 cups of ice cream
Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.
Similarly, 5 cups of sugar = 5 x 20 cups of ice cream
⇒ 5 cups of sugar = 100 cups of ice cream
Therefore,100 cups of ice cream can be made with 5 cups of sugar.
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Yuppietown has two food stores, La Boulangerie, which sells bread, and La Fromagerie, which sells cheese. It costs $1 to make a loaf of bread and $2 to make a pound of cheese. If La Boulangerie’s price is P1 dollars per loaf of bread and La Fromagerie’s price is P2 dollars per pound of cheese, their respective weekly sales, Q1 thousand loaves of bread and Q2 thousand pounds of cheese, are given by the following equations: Q1 = 14 − P1 − 0.5P2 and Q2 = 19 − 0.5P1 − P2. (a) For each store, write its profit as a function of P1 and P2. Then find their best-response
Answer:
Step-by-step explanation:
Given that:
Q1 = 14 − P1 − 0.5P2
Q2 = 19 − 0.5P1 − P2
Recall that:
Profit = Total revenue - Total cost
π₁ = P₁Q₁ MCQ₁
π₁ = P₁(14 - P₁ - 0.5P₂) - Q₁
π₁ = 14P₁- P₁² - 0.5 P₁P₂ - 14 + P₁ + 0.5P₂
π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14
π₂ = P₂ (19 - 0.5P₁ - P₂) - 2(19 - 0.5P₁ - P₂)
π₂ = 19P₁ - 0.5P₁P₂ - P₂² - 38 + P₁ + 2P₂
π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38
The profit functions are π₁ & π₂
The best-response function from firm 1 is;
π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14
[tex]\mathbf{\dfrac{\partial \pi_1}{\partial P_1}= 15 - 2P_1 -0.5P_2 =0}[/tex]
[tex]\mathbf{P_1= \dfrac{15-0.5P_2}{2}}[/tex]
The best-response function from firm 2 is;
π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38
[tex]\mathbf{\dfrac{\partial \pi_2}{\partial P_2}= 21 - 2P_2 -0.5P_1 =0}[/tex]
[tex]\mathbf{P_2= \dfrac{21-0.5P_1}{2}}[/tex]
Here we must find the profit for each one of the two stores.
For La Boulangerie the profit is: (14 − P1 − 0.5*P2)*(P1 - $1)For La Fromagerie the profit is: (19 − 0.5P1 − P2)*(P2 - $2).Remember that profit is defined as the difference between the revenue and the cost.
For La Boulangerie we know that they sell Q1 thousand loaves. Each loaf costs $1. Each loaf is sold by P1
Then the profit is just:
P = Q1*(P1 - $1) = (14 − P1 − 0.5*P2)*(P1 - $1)
Which is already written only in terms of P1 and P2.
Similarly, for the other store we will get the profit:
P' = Q2*(P2 - $2) = (19 − 0.5P1 − P2)*(P2 - $2)
Now we must get their best response, which is given by deriving it with respect to the price and making it equal to zero:
For the first store we have:
dP/dP1 = $1 + 14 - 0.52*P2 - 2*P1 = 0
Now we solve it for P1:
P1 = ($1 + 14 - 0.52*P2)/2
Similarly, for the other store we have:
dP'/dP2 = 19 - 0.5*P1 - 2*P2 + $2 = 0
Solving it for P2 it gives:
P2 = (19 - 0.5*P1 + $2)/2
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Find the distance FG between the points F (0,-7) and G (-6,-3) . Round your answer to the nearest tenth, if necessary
Answer:
7.2
Step-by-step explanation:
The water level of a lake fell by 1 1/2
inches
during a 1 2/3
-week-long dry spell. Find the
average rate at which the water level changed
every week.
Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
During the first half of a football game, a running back ran for 9 total yards. In the second half, he ran for a loss of 12 yards. What was the running back's total yardage?
Answer:
21
Step-by-step explanation:
The running back's total yardage is 21 yards
From the question we are given the following parameters
Distance travelled in the first half of the game is 9 yards
Distance travelled in the second half of the game is 12 years
In order to determine the running back's total yardage, we will take the sum of the distance travelled as shown
Total distance travelled = 9 yards + 12 yards
Total distance travelled = 21 yards
Hence the running back's total yardage is 21 yards
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Answer please will give brainlest answer!
How do I work this problem -16f+13=2f-11
Answer:
f = 4/3
Step-by-step explanation:
-16f + 13 = 2f - 11
24 = 18f
Divide
24/18 = f
4/3 = f
[tex] - 16f + 13 = 2f - 11[/tex]
Subtract sides -13
[tex] - 16f + 13 - 13 = 2f - 11 - 13 \\ [/tex]
[tex] - 16f = 2f - 24[/tex]
Subtract sides -2f
[tex] - 16f - 2f = 2f - 2f - 24[/tex]
[tex] - 18f = - 24[/tex]
Negatives simplifies
[tex]18f = 24[/tex]
Divided sides by 18
[tex] \frac{18}{18}f = \frac{24}{18} \\ [/tex]
[tex]f = \frac{4}{3} \\ [/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Round 0.5289 to the nearest thousandth.
Answer:
0.5289 to the nearest thousandth is 0.529.
Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.
What is the number of the parking space covered by the car?
Answer:
87
Step-by-step explanation:
flip the picture upside down.
Consider the population of the city of Beaumont. Over the course of a year, 800 people move into town. Of those that moved in, 180 have dark hair, 260 have red hair, and the remaining 360 are blonde. During this year a total of 1070 people move out, 470 with dark hair, 270 redheads, and 330 blondes. There are 223 newborns, 47 with dark hair, 90 with red hair, and 86 blondes. Finally, there are 168 deaths, 31 with dark hair, 66 with red hair, and 71 with blond hair. (Assume no one goes bald or changes their hair color.) What is the accumulation of red-haired people in Beaumont, for this year
Answer:
There were 14 red-haired people accumulated in Beaumont, for this year.
Step-by-step explanation:
The number of people who moved into town is = 800Number of dark haired people = 180
Number of red haired people = 260
Number of blonde haired people = 360
The number of people who moved out of town is = 1070Number of dark haired people = 470
Number of red haired people = 270
Number of blonde haired people = 330
The number of newborns in town is = 800Number of dark haired = 47
Number of red haired = 90
Number of blonde haired = 86
The number of deaths in town is = 168Number of dark haired people = 31
Number of red haired people = 66
Number of blonde haired people = 71
Compute the accumulation of red-haired people in Beaumont, for this year as follows:
Red hair = #Moved in - #Moved out + #Newborn - #Deaths
= 260 - 270 + 90 - 66
= 14
Thus, there were 14 red-haired people accumulated in Beaumont, for this year.
Solid shape is made 4 cubes. What is the front elevation
The front elevation of the cube will be either a square or a rectangle.
What is a cube?A three-dimensional object with six congruent square faces is called a cube. The cube's six square faces all have the same dimensions.
Given that, a solid shape is made from 4 cubes.
The front face of a cube is square, therefore, the front elevation of 4 cubes will be either a square or a rectangle.
Hence, the front elevation of the cube will be either a square or a rectangle.
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Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus
a fixed $16 shipping and handling fee. The marketing director of company A wants to set up a system of equations to find
the number of hats for which the total cost of an order for the two companies is the same. He uses the variables x and y.
He lets y represent the total cost of an order. What will x represent?
O x = total cost of an order
O x = shipping costs for company B
O x = shipping costs for company A
O x= number of hats
Answer:
Its D
Step-by-step explanation:
x represents the number of hats.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee.
Let x be the number of hats and y be the total cost for x hats
For Company A:
per hat charges = 11
charge for x hats = 11 * x
Since, shipping charges = 7
Thus,
Total cost for x hats, y = 11x + 7
For Company B:
per hat charges = 8
charge for x hats = 8 * x
Since shipping charges = 16
Thus,
Total cost for x hats, y = 8x + 16
If the Cost is the same,
11x + 7 = 8x + 16
3x = 9
x = 3
therefore, If we order 3 hats then the cost from both companies will be the same. and x represents the number of hats.
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You have space in your garden for 50 small flowering bulbs. Bulb A cost $0.45 each and
bulb B cost $0.65 each. Your budget allows you to spend $26.90 on bulbs. How many of bulb A and how many of bulb B can you buy?
_______number of bulb A
_______number of bulb B
Answer:
A = 28
B = 22
Step-by-step explanation:
All money will be recorded in pennies
Let A = the 45 Bulb
Let B = the 65 bulb
A + B = 50 (1)
45A + 65B = 2690 (2)
Multiply (1) by 45 and subtract that from (2)
45A + 65B = 2690
45A + 45B = 2250 Subtract
20B = 440
B = 22
A + B = 50
A + 22 = 50
A = 50 - 22
B = 28
Check
45*28 + 22* 65 =
1260 + 1430 = 2690
A group of friends go to the haunted museum
together. Each person pays $6.50 to get in. They
spend a total of $21 for the zombie exhibit. The
total cost is $60. Write an equation and then solve to
find how many people went to the haunted museum.
Find the volume in cm3 of a length of pipe which has these measurements
Volume of cylinder=TTr2h
TT = 3.14
Answer:
√3.14,-√3.14
Step-by-step explanation:
What is the effective annual rate for an APR of 10.60 percent compounded quarterly?
Answer:
The effective annual rate is 11.03%
Step-by-step explanation:
The effective interest rate is calculated through the formula:
[tex]r = (1 + i/n)^n - 1[/tex]
In this formula, r represents the effective interest rate, i represents the stated interest rate or APR, and n represents the number of compounding periods per year.
For a quarterly compounded interest, n=4. The APR i=10.60%=0.106
Given an APR r, the effective annual rate for a quarterly compound is:
[tex]r = (1 + 0.106/4)^4 - 1=1.0265^4-1[/tex]
[tex]r=1.11029-1=0.1103[/tex]
The effective annual rate is 11.03%
I need help please!!!
Answer:i think 39
Step-by-step explanation:
You earn $35 for washing 7 cars. You earn $45. How many cars did you wash?
Answer:
she washed 9 cars
Step-by-step explanation:
5×7 is 35
9×5 is 45
Answer:
You washed 9 cars
Step-by-step explanation:
35/7 is 5 and 45/5 is 9 therefore if you get $5 per car washed and you earn $45 you have washed 9 cars total
[tex]\frac{x}{5}[/tex] + 7 = -3
Answer:
[tex]\huge{\fbox{\sf{ x = -50}}}[/tex]
Step-by-step explanation:
[tex]\frac{x}{5} + 7 = -3[/tex]
Take the L.C.M of 5 and 1 ( i.e 5 )
⇒[tex]\frac{x+7 * 5}{5} = -3[/tex]
⇒[tex]\frac{x+35}{5} = -3[/tex]
Do cross multiplication
⇒[tex]x + 35 = -3 * 5[/tex]
⇒[tex]x + 35 = -15[/tex]
Move 35 to right hand side and change its sign
⇒[tex]x = -15 - 35[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
⇒[tex]x = -50[/tex]
The value of x is [tex]\boxed{\sf{ -50}}[/tex]
Hope I helped!
Best regards!
~[tex]\text{ TheAnimeGirl}[/tex]
Here's a linear equation in variable x and we have to compute the value of x for the above equation.
Given equation:
[tex] \large{ \rm{ \dfrac{x}{5} + 7 = - 3}}[/tex]So, Let's start solving the above equation:
Move 7 to the Right hand side,
Remember: Inverse of addition is subtraction
[tex] \sf{ \dfrac{x}{5} = - 3 - 7}[/tex]
[tex] \sf{ \dfrac{x}{5} = - 10}[/tex]
Now multiplying 5 in other side because again the inverse of division is multiplication,
[tex] \sf{ x = - 10 \times 5}[/tex]
[tex] \sf{x = \boxed{ \red{ - 50}}}[/tex]
And the required value for x is -50. So, we are done....
Carry On Learning !
Please help! (95 points)
Answer:
303.61
Step-by-step explanation:
if you need explantion tell me and i will edit my answer
Answer:
24.4M
Step-by-step explanation:
For what values of the variable does each of the following expressions make sense? We call the set of this values the domain of the expression. \sqrt{4-6a}
Given:
The expression is [tex]\sqrt{4-6a}[/tex].
To find:
The domain of the expression.
Solution:
We have,
[tex]\sqrt{4-6a}[/tex]
We know that, the square root is defined for only non-negative values. So,
[tex]4-6a\geq 0[/tex]
[tex]4\geq 6a[/tex]
Divide both sides by 6.
[tex]\dfrac{4}{6}\geq a[/tex]
[tex]\dfrac{2}{3}\geq a[/tex]
Thus, the value of variable less than [tex]\dfrac{2}{3}[/tex] make any sense.
Therefore, the domain of the given expression is [tex](-\infty,\dfrac{2}{3}][/tex].
The domain of a function is the set of input values the function can take
The domain of the expression is: [tex]\mathbf{(-\infty, \frac 23]}[/tex]
The expression is given as:
[tex]\mathbf{\sqrt{4 - 6a}}[/tex]
Set the radicand to 0
[tex]\mathbf{4 - 6a = 0}[/tex]
Add 6a to both sides
[tex]\mathbf{6a = 4}[/tex]
Divide both sides by 6
[tex]\mathbf{a = \frac 23}[/tex]
This means that, the value of a must not be greater than 2/3.
Hence, the domain of the expression is: [tex]\mathbf{(-\infty, \frac 23]}[/tex]
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Given f(x) = x2 – 2x, what is f(-6)?
A school newspaper reporter decides to randomly survey 20 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 24% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.Part (a)In words, define the Random Variable X.the types of festivities offered at the schoolthe number of students that will attend Tet the number of students in the schoolthe school newspaperCorrect: Your answer is correct.Correct! This is a numerical measure of the outcome of the survey.Part (b)List the values that X may take on.X
2p+22q2-p someone help please
Answer:
2p+22q2-p = 22q^2+p
Answer:
22q2+p
Step-by-step explanation:
simplify step-by-step.
2p+22q2−p
=2p+22q2+−p
Combine Like Terms:
=2p+22q2+−p
=(22q2)+(2p+−p)
=22q2+p
Answer:
=22q2+p
Determine the equation of the inverse of y = e x + 3 - 4
Answer:it would be a
Step-by-step explanation:
I got it right on odseyware
We need a rock garden with perimeter of 12 feet and an area of 8 square feet
Answer:
Width: 4
Length: 2
Step-by-step explanation:
Write the equation of the line that contains the points (5,7) and (5, -12):
Step-by-step explanation:
Well you first have to find the slope, which is y2-y1/x2-x1
Which is -12-7/5-5 and that equals to undefined.
So since you can't find the slope the answer should be undefined.
Hope this helps <3
Marcus is buying a pair of running shoes that are discounted 20% from the original price
of $100. The store is also having a holiday sale, so they will take an additional 20% off the
sale price. How much will Marcus pay for his shoes?
Answer: $64
Step-by-step explanation:
20% of 100 is 20 so 100-20=80. Also 20% of 80 is 16. So 80-16=64. So that’s the answer.
please answer!!
Graphs of Linear Functions
write an equation for a line parallel to y= 2x- 4 and passing through the point (2,7)
y= ?
Answer:
Y= -8
Step-by-step explanation:
i think so......
KKKKKKKKKKKKKKKKKKK
-3
0
-1
4
2
7
4
What is the range
Answer:
10
Step-by-step explanation:
total number count:7
Lowest #: -3
Highest #: 7
Range: 10
<3
RedFind the distance between the points -6.2 and -9.8. Show your work.
Answer:
3.6
Step-by-step explanation:
subtract the numbers
