Answer: Sales tax is $4.80 and the total cost is $64.80
Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.
To get $4.80, find the sales tax of $60.00 of 8%
We can use this formula: (selling price x sales tax rate)
The sales tax is: $4.80
To find the total cost, add 60.00 by the sales tax. ($4.80)
60.00 + 4.80 = $64.80
Therefore, these are your answers: $4.80 and $64.80
Answer:
4.80 sales tax, 64.80 total costs
Step-by-step explanation:
60 x.08=4.80 sales tax
60+4.80=64.80 total costs
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
Evaluate the expression for u = 5
Answer:
5
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
u-(5)=0
Step by step solution :
STEP
1
:
Solving a Single Variable Equation:
1.1 Solve : u-5 = 0
Add 5 to both sides of the equation :
u = 5
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
help what do i do i need help asap
I am assuming your teacher wants you to solve for v.
Therefore we need to isolate v, first step will be moving 2 to the other side then multiplying both sides by 11.
4=v/11-2
4+2=v/11
6=v/11
6*11=v/11*11
66=v
v=66
Check answers: substitute v=66 back into the equation.
right hand side:66/11-2=6-2=4
left hand side:4
RHS=LHS therefore the solution is correct.
Done!
Hope this helped, if there are any questions just ask them in the comments and I will answer them.
Answer:
66 = v
Step-by-step explanation:
4 = v/11 -2
+2 +2
6 = v/11
*11 *11
66 = v
A train covers 168 km in 2 hours whats it’s speed
Step-by-step explanation:
Distance covered is 168 km .
Time taken is 4 hours .
Speed = distance covered / time taken
=168/4
=42 kmph
In 80 minutes or 4/3 hours it would cover
42*4/3
=14*4
=56 km
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!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.
look at diagram........
Answer:
68°
Step-by-step explanation:
POR and QRO are the same size
Please help me to solve the 5th part!
Step-by-step explanation:
hope this will help you.
Hey can come one please help me with this?
Answer:
100,000,000. 10×10^7
Step-by-step explanation:
There is a function on a calculator that use exponents.
Solve for n.
3(n + 3) = 0
This is due in like a minute.
Answer:
n = -3
Step-by-step explanation:
3(-3 + 3) = 0
3(0) =0
3 x 0 = 0
Find the slope of the line passing through (3, 7) and (6, 11). Note: Use the y-y/x-x formula!
Answer:
Slope of the line [tex]m = \frac{4}{3}[/tex]
Step-by-step explanation:
Explanation:-
Given points are ( 3,7) and (6,11)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{11-7}{6-3}[/tex]
[tex]m = \frac{4}{3}[/tex]
Slope of the line [tex]m = \frac{4}{3}[/tex]
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)
I need help plz i dont know
Answer:
Hey! Ok so the height is C.10 ft.
Step-by-step explanation:
So to find the height I have to do
h=Vlw =540 12·4.5=10
So therefore its 10
Hope you have a great day! I'm Eve btw Hoped this helped and consider marking this brainiest!
1. AQRS ~ ATUV; find x
54
S
R
U
36
의
24.
x+5
T
Step-by-step explanation:
x+5=36
or, x=36-5
or, x=31
The value of x=31
What is the Scale factor
Answer:
x2
Step-by-step explanation:
hope this helps :D
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
write an equation perpendicular to y=1/5 x+9 that passes through the point (-2,-2)
Answer:
-2= 1/5x-2 +9
-2= -0.4 +9
Step-by-step explanation:
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
What is the image of (-7,-4) after a dilation by scale factor of 5 centered at the origin
Answer:
-35, -20
Step-by-step explanation:
Answer:
(-35,-20)
Step-by-step explanation:
please help thank you
the perimeter of the square is 4cm
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.
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
Washer and a dryer cost $746 combined washer cost $96 more than the dryer what is the cost of the dryer
Answer:
$325
Step-by-step explanation:
Given data
let the cost of dryer be x
let the cost of wahser be y
so
x+y= 746--------------1
y= x+96----------------2
put y= x+96 in equation 1
x+ x+96= 746
2x+96= 746
2x= 746-96
2x=650
divide both sides by 2
x= 650/2
x=325
Hence the cost of the dryer is $325
I struggle on this one to
Answer:
13. acute
14. right
15. 36
16. x = 14
Step-by-step explanation:
Can someone possibly help me with this math question?
Answer:
its 4
Step-by-step explanation:
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
I really need help,please!!
What is 0.232323... written as a
fraction?
Answer:
go to photo math and it would work
Answer:
23/99
Step-by-step explanation:
anything repeating will have a 9 as the denominator