Answer: She now has $64 in the bank.
Step-by-step explanation:
Amount of money in bank account = $54
amount refunded by a store = $10
Total amount of money in bank =Amount of money in bank account + amount refunded by a store= $54+ $10 =$64
b = 23a + 1
b = -13a + 7
What is the answer to this?
Answer:
its the second answer i hope that helps
Answer:
Step-by-step explanation:
i have no idea
What is the slope of (-2,4) and (10,-20)?
Thanks to whoever answers.
Answer:
m=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shell tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.
Given the expression (−2x2)(3x)(x), Jose says that different products occur if the order of the quantities being multiplied changes. Is Jose correct? Explain.
Answer:
Jose is incorrect.
Step-by-step explanation:
Using the communitive property, you can rearrange (-2x2), (3x), and (x) in the problem and get the same product. You can rearrange it to (3x)(x)(-2x2). You can rearrange it to (3x)(-2x2)(x). Now matter where you rearrange them, the equation will always have the same product.
Which equation matches the graph shown?
Answer:
A
Step-by-step explanation:
Since it is upside down, it is the one with the negative sign in front of the x. The numbers will continue to increase in the negatives.
Answer:
ur ans is A
Step-by-step explanation:
GOODLUCK
Problem of the Day 7.7
Joshua swims 18 laps every day at swim practice. If he swims every day for 32 days, how many laps has he completed?
Answer:
576
Step-by-step explanation:
18 x 32 = 576
Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation. y = -2x + 1 (0, 5)
figure out the riddle
Answer:
Four
Step-by-step explanation:
All the animals are on the bed, but the bed itself has four legs.
Answer: 6
Step-by-step explanation: the legs from the bed, and your 2 legs
Linda received 3/5 of the votes in the election for student council president. What percent of the votes did Linda receive
Answer:
60.
Step-by-step explanation:
Answer:
[tex]60%[/tex][tex]%[/tex]%
Can u gimme brain plz!The student council is selling cupcakes at the school play.
The cost to make the cupcakes is a fixed \$ 75$75 plus \$ 0.17$0.17 per cupcake made.
Each cupcake sells for \$ 2.00$2.00.
Answer: 37.5
Step-by-step explanation:
75 divided by 2
3.
What is the area of triangle ABC?
2in.
2in.
B
The area of triangle ABC is
A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit of y is $4. The person receives $1 000 that all has to be spent on the two commodities x and y. Solve the utility maximization problem
Answer:
x = 250
y = 125
u(x,y) = 3125500
Step-by-step explanation:
As given,
The utility function u(x, y) = 100xy + x + 2y
[tex]P_{x}[/tex] = 2 , [tex]P_{y}[/tex] = 4
Now,
Budget constraint -
[tex]P_{x}[/tex] x + [tex]P_{y}[/tex] y = 1000
⇒2x + 4y = 1000
So,
Let v(x, y) = 2x + 4y - 1000
Now,
By Lagrange Multiplier
Δu = Δv
⇒< 100y + 1, 100x + 2 > = < 2, 4 >
By comparing, e get
100y + 1 = 2 ........(1)
100x + 2 = 4 .........(2)
Divide equation (2) to equation (1) , we get
[tex]\frac{100y + 1}{100x + 2} = \frac{1}{2}[/tex]
⇒2(100y+1) = 1(100x+2)
⇒200y + 2 = 100x + 2
⇒200y = 100x
⇒2y = x
Now,
As 2x + 4y = 1000
⇒2x + 2(2y) = 1000
⇒2x + 2x = 1000
⇒4x = 1000
⇒x = 250
Now,
As 2y = x
⇒2y = 250
⇒y = [tex]\frac{250}{2}[/tex] = 125
∴ we get
x = 250
y = 125
Now,
u(250, 125) = 100(250)(125) + 250 + 2(125)
= 3125000 + 250 + 250
= 3125000 + 500
= 3125500
⇒u(250, 125) = 3125500
The maximized value of the utility function is $3125500
The utility function is given as:
[tex]U(x,y) = 100xy + x + 2y[/tex]
The prices per unit are also given as:
[tex]P_x = 2[/tex]
[tex]P_y = 4[/tex]
When a person receives $1000, then the budget function is:
[tex]2x + 4y = 1000[/tex]
Divide through by 2
[tex]x + 2y = 500[/tex]
Differentiate the utility function with respect to x and y
[tex]U'(x) = 100y + 1[/tex]
[tex]U'(y) = 100x + 2[/tex]
So, we have:
[tex]U'(x) = P_x[/tex] and [tex]U'(y) = P_y[/tex]
The above equations become
[tex]100y + 1 = 2[/tex] and [tex]100x + 2 = 4[/tex]
Divide both equations
[tex]\frac{100y + 1}{100x + 2} = \frac 24[/tex]
Reduce the fractions
[tex]\frac{100y + 1}{100x + 2} = \frac 12[/tex]
Cross multiply
[tex]100x + 2 = 200y + 2[/tex]
Subtract 2 from both sides
[tex]100x = 200y[/tex]
Divide both sides by 100
[tex]x = 2y[/tex]
Recall that:
[tex]x + 2y = 500[/tex]
So, we have:
[tex]2y + 2y = 500[/tex]
[tex]4y=500[/tex]
Divide through by 4
[tex]y=125[/tex]
Recall that:
[tex]x = 2y[/tex]
So, we have:
[tex]x = 2 \times 125[/tex]
[tex]x = 250[/tex]
Also, we have:
[tex]U(x,y) = 100xy + x + 2y[/tex]
Substitute the values of x and y, in the above function
[tex]U(250,125) = 100 \times 250 \times 125 + 250 + 2 \times 125[/tex]
[tex]U(250,125) = 3125500[/tex]
Hence, the maximized value of the utility function is 3125500
Read more about utility functions at:
https://brainly.com/question/24922430
Select all the equations where x = 3 is a solution.
Choose 2 answers:
А )x +4= 7
B) = 3 9 5 - 2 = 2
D) 8x = 32
E )X – 10 = 7
Answer:
Step-by-step explanation:
X +4=
8x=32
Please help me to solve the 5th part!
Step-by-step explanation:
hope this will help you.
Tom ate at a restaurant. His bill was $12.00. He left a 15% tip. How much was the amount of the tip?
Answer:
15% of 12 is 1.8
Step-by-step explanation:
15 x 10/100 = 1.8
I struggle on this one to
Answer:
13. acute
14. right
15. 36
16. x = 14
Step-by-step explanation:
Which of the following numbers is irrational? Helpppp please!!!!... due in 2 minutes!!!!.
4x – 2y = -8
y = 2x + 4
Answer:
Set any x and then compute y as 2x + 4. The pair solves the equations.
Step-by-step explanation:
4x - 2y = -8
4x = 2y - 8
2x = y - 4
y = 2x + 4
2x + 4 = y
2x = y - 4
Both equations are the same, so any pair of x and y for which 2x = y - 4 works.
Set any y and then compute x as (y - 4)/2
Alternatively
2x = y - 4
2x + 4 = y
Set any x and then compute y as 2x + 4.
Philip's bill for lunch at a restaurant was $7. He left a 15% tip. What was the amount of the
tip?
Answer:$1.05
Step-by-step explanation:
Step-by-step explanation:
:
=$7×15/100
=$1.05
Which of the following is a factor
of the expression 5x^2- 13x-6?
Answer:
(5x+2) (x-3)
Step-by-step explanation:
how do you do 20x-10y=50 10x-15y=-5 in system of equations
Answer:The point form would be (4,3) and the equation form would be x=4,y=3
Step-by-step explanation:
can I get marked brainliest
Ray did yard work for 112 hours after school every day for 5 days. How many total hours did Ray do yard work?
5th grade
HELP
i need help pls im in middle of class and have 5 min pls 20pts
Answer:
c
Step-by-step explanation:
Answer:
its the second one
Step-by-step explanation:
solve the rational equation x^2+1/x-1+x=2+2/x-1
Answer:
x=1/2
Step-by-step explanation:
Find the surface area of the rectangular prism.
3 in.
2 in.
4 in.
1.)60 in 2
2.)84 in 2
3.)26 in
4.)52 in2
Answer:
52 Inches³
Step-by-step explanation:
The surface area formula for a rectangular prism is 2 x (height x width + width x length + height x length)
SA= 2(4x2+2x3+4x3)
What is the vertex of the absolute value function below?
Answer:
add file/link/pdf
Pippin owns 2 cats, 3 dogs, and a lizard as pets. What is the ratio of the number of cats to the total number of pets Pippin owns?
Choose 1 answer:
is it
A 1/6
B 1/3
C 2/5
D 1/2
or E 2/3
Answer: B) 1/3
2 cats/6 total animals
simplified is 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
plz make me brainliest
Json has 4 gallons of hand sanitizer that contains 25% alcohol. He want sto make a hand santizer that contains 50% alchahol. How many gallons of pure alcohol should he add?
Answer:
2
Step-by-step explanation:
1+x/4+x = 1/2
4+x = 2 + 2x
x = 2
Which group of numbers is in order from smallest to largest?
0.34, 45%, 13/25
9/10, 0.8, 75%
27%,3/4 , 0.09
0.24, 37%, 3/10
Answer:
0.3, 45%, 13/25
Step-by-step explanation:
Is the smallest to largest
Answer:
0.34, 45%, 13/25
Step-by-step explanation: