The dealer's cost of refrigerator is $456.
We are given the total selling price and mark up according to dealer's cost. So, let us assume the dealer's cost be x.
x + 5% × x = 478.80
Converting mark up percentage to fraction and then decimal form
x + 0.05x = 478.80
Performing addition on Left Hand Side of the equation to find the value of x
1.05x = 478.80
Shifting 1.05 to Right Hand Side of the equation
x = 478.80 ÷ 1.05
Performing division to Right Hand Side of the equation to find the value of x
x = 456
Hence, the dealer's cost will be $456.
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I want to record some programmes over Christmas. I have 5 hours of space left on my TV recording box. The programmes I want to record are as follows:
Two Ronnies Christmas Special: 1 hour 30 mins
All Creatures Great and Small Christmas Special: 1 hour 45 mins
Die Hard 2: 1 hour 55 mins
How many minutes will I miss because the space ran out
Answer:
10 minutes.
Step-by-step explanation:
5 hours = 300 minutes
90 minutes + 105 minutes + 115 minutes = 310 minutes of programmes.
310-300 = 10 leftover minutes missed
Determine the intercepts of the line
Answer:
Step-by-step explanation:
y-intercept: (0 , 2.5)
x-intercept: (3.5 , 0)
Using the picture below find the area of the trapezoid ?
Answer:
(a) 8x-16 [tex]cm^2[/tex]
Step-by-step explanation:
From the given figure of trapezoid:
Height, h=8 cm
Bases, [tex]b_1=(x-6)cm \; and \; b_2=(x+2)cm[/tex].
Area of the trapezoid,
[tex]A=\frac 1 2 h (b_1 + b_2) \\\\=\frac 1` 2 \times 8 ( x-6+x+2) \\\\=4(2x-4) \\\\[/tex]
[tex]=8x-16 cm^2[/tex]
Hence, option (a) is correct.
pennsylvania sales tax is charged at the rate of 6%. Find the tax and the total price you would pay for an $860 TV
The sales tax will be $51.6, bringing the total cost of $860 TV to $911.6.
What do we mean by sales tax?A sales tax is a tax levied on the sale of certain goods and services and paid to a governing body. Generally, laws allow the seller to collect tax funds from the consumer at the point of purchase.A use tax is a tax on goods or services that is paid directly to a governing body by a consumer. Food, education, and medicines, for example, are frequently exempt from sales and use tax under state law. A value-added tax (VAT) on goods and services is similar to a sales tax. Key differences can be found in the comparison with sales tax.So, to find the sales tax we need to find out the 6% of $860.
= 860/100 × 6= 8.60 × 6= 51.6So, the total price will be 860 + 51.6 = $911.6Therefore, the sales tax will be $51.6 and the total price we would pay for an $860 TV will be $911.6.
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Please help me out! Hope you are having a good day
Answer:
Fraction: x= 5/6 Decimal: x= 0.83
The formula to determine the period of one swing of a simple pendulum is T=2\pi\sqrt{\frac{L}{g}},T=2π g L , where LL is the length of the string and gg is the acceleration due to gravity. Solve the formula to solve for LL in terms of \pi,π, TT and g.G.
Answer:
L = (T² × g) / 4π²
Step-by-step explanation:
T = 2π√L/g
Where,
L = length of the string
g = acceleration due to gravity
T = 2π√L/g
square both sides of the equation to eliminate the square root
T² = (2π)²√(L/g)²
T² = (2π)²(L/g)
(2π)²
= 2π × 2π
= 4π²
T² = 4π²(L/g)
Multiply both sides by g
T² × g = 4π²(L/g) × g
T² × g = 4π²L
Divide both sides by 4π² to get L
L = (T² × g) / 4π²
I need to know the answer to this question?!
Answer:
Answer is C
Step-by-step explanation:
You divide fractions by multiplying with the inverse
[tex]\frac{-3}{8}\\[/tex] * [tex]\frac{9}{5}[/tex] = [tex]\frac{-27}{40}[/tex]
True or false The opposite of a number is always positive
Answer:
Be specific about which number you are trying to say. if it's positive or negative.
Step-by-step explanation:
Positive numbers are numbers that are greater than 0. Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive.
11. Albert is selling cupcakes at a fund-raiser for a charity. He made 160 cupcakes and
spent $120 on ingredients and baking supplies. He sold all the cupcakes for $480.
Select all the statements that are true.
A. Albert sold each cupcake for $3.
B. Albert sold each cupcake for $4.
C. Albert spent $3 on each cupcake.
D. Albert spent $0.75 on each cupcake.
E. Albert earned a profit of $3 on each cupcake sold.
F. Albert earned a profit of $2.25 on each cupcake sold.
Answer:
a c e
Step-by-step explanation:
Brainliest Please?
what is 4h-8h in like terms and terms and identify expression
Answer:
4h
Step-by-step explanation:
Expression: 4h-8h=4h
Because both 4h and 8h end in the same variable they can be subtracted when you subtract 4 and 8 you get 4. and You can't forget your variable so you end with 4h
Your expression is a group of terms without an equal sign. 4h and 8h are your terms as well as your answer.
Your expression ends as 4h-8h=4h
What is the remainder R when the polynomial p(x) is divided by (x -1)?
P(x) = 2x3 + x2 - 2x - 1
Answer:
The remainder is 0
Step-by-step explanation:
Using the remainder theorem,plug in the zeros of the factor into the polynomial.
The zeros of the factor—›x-1=0,x=1
Plugging 1 into the polynomial
P(1)=2(1)³+(1)²-2(1)-1=0
helpp please!
How much would the painting company charge to paint a house that needs 20 hours of labor?
(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?
The limit of the function as the variable n tends to minus infinity is -1
Limit of a functionGiven the limit of a function expressed according to the equation;
a(n) = 6n²-n-3n³/3n³+n-1
The value of the function if n tends to minus infinity is expressed as show:
a(n) = 6n²-n-3n³/3n³+n-1
Divide both all the terms by n³
a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³
a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)
a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)
a(n) = -3/3
a(n) = -1
Hence the limit of the function as the variable n tends to minus infinity is -1
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a bus is traveling at a velocity of 25 m/s straight south what effect will an acceleration of 4m/s2 north have on a bus
Answer:
The acceleration will cause the bus to travel for 6.25secs
Step-by-step explanation:
For us to get the effect the acceleration will have on the bus, we need to calculate the time taken by the bus to travel.
Using the acceleration formula;
Acceleration = Velocity/Time
Given
Acceleration = 4m/s²
Velocity = 25m/s
Required
Time
From the formula;
Time = Velocity/acceleration
Time = 25/4
Time = 6.25secs
Hence the acceleration will cause the bus to travel for 6.25secs
Please Help me!
At the market, a farmer is selling carrots and potatoes by the pound. The table below shows the amount of each (in pounds) purchased by two customers and the total amount paid (in dollars).
Based on the table on the amount of carrots and potatoes purchased, the cost of each pound of carrots and potatoes are Cost per pound of carrots: $1.50 and per pound of potatoes: $2.00
What is the cost?As you have been given options, you can use the prices in the options to see which price tallies with the total amount that each customer paid.
If you checked all the options, you would find the correct option is the correct option.
The first customer would pay:
= (4 x 1.50) + (6 x 2)
= $18
The second customer:
= (2 x 1.50) + (2 x 9)
= $21
These tally with the amounts paid by the customers so they are the prices of the unit pound of carrots and potatoes.
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2900 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 13 years, to the nearest cent?
Answer:
$8,890.83
Step-by-step explanation:
To find the answer we have to use this equation:
[tex]A = P(1 + r)^t[/tex]
A = The total amount
P = The initial amount
R = The interest rate
T = Time
Given in the question:
A = ?
P = 2,900
R = .09
T = 13
Plug it into the equation and solve:
[tex]A = 2900(1 + .09)^1^3\\A = 2900(1.09)^1^3\\A = 2900(3.065804612)\\A = 8890.83[/tex]
Therefore, after 13 years there will be $8,890.83 in the account.
I hope this helps!!
- Kay :)
A pool gained 10 gallons of water on Friday due to rain. How could the owner of the pool bring the water level back to its previous level? Select all that apply. Let 10 gallons of water evaporate. Add 10 gallons of water with a hose. Increase the amount of water by 10 gallons due to rain. Let her kids play in the pool and splash out 10 gallons of water. Drain 10 gallons of water from the pool. Fill 10 old milk gallons with water and dump them into the pool.
Answer
Let her kids play in the poop and splash out 10 gallons or Drain 10 gallons of water from the pool.
Hope this helped!!
Step-by-step explanation:
What is the slope of the line shown in the graph?
-2
-1
-1/2
1/2
Answer:
I'm going for the third one (-1/2)
hope this helped you
I’m not really sure what to choose..
Answer:
i think it would be SAS, sorry if I'm wrong!
Step-by-step explanation:
9514 1404 393
Answer:
SAS
Step-by-step explanation:
The hash marks on the segments of the triangle indicate congruence. The "one hash mark" segments are congruent to each other, and the "two hash marks" segments are congruent to each other. That is, two corresponding sides are marked congruent.
Similarly, the arc on the angle indicates the angle is congruent to one with a similar mark. We notice that the marked angle is between the sides that have hash marks. So, we have, in order around the triangle, congruent Sides, Angles, Sides. The appropriate choice is ...
SAS
The range of a function is called the dependent variable or the output of the function
True False
What is the prime factorization of 72?
O2-2-3-3-3
O2-2-2-3.3
O2-2-2-3
O2-2-2-5
Answer:
2 * 2 * 2*3*3
Step-by-step explanation:
To get the prime factorization of 72, break 72 down into primes
72 = 9*8
Both 9 and 8 are not prime, so break 9 and 8 down
= 3*3 * 4*2
4 is not prime so break 4 down
= 3 * 3 * 2 * 2 * 2
a spinner is divided into 6 equal sections numbered 1 through 6 this spinner will be spun 600 times how many times will the spinner be expected to land on a 2 or a 4
Answer:
450 times
Step-by-step explanation:divide 600 by 2 and get 300 and divide 600 by 4 and get 150 and add 300 and 150 get your answer 450.
Find the greatest factor of 12 and 32
Answer:
the greatest common factor of 12 and 32 is 4
The shape is composed of three squares and two semicircles.Select all the expressions that correctly calculate the perimeter of the shape
Answer:
100+20π
Step-by-step explanation:
Find the diagram attached.
Perimeter of a square =4L
L is the side length of a square
From the diagram;
L = 10
Perimeter of a square = 4(10) = 40
Perimeter of 3 squares = 3(40) = 120
2 semi circle = a circle
Perimeter of a circle= 2πr
radius of the Circle = length of a side of the square.
Area of the circle = 2π(10)= 20π
Perimeter of the shape = Perimeter of the two semicircle + area of the 4squares = 100+20π
How do i resolve this? like im so confused
Answer: its C)
Step-by-step explanation:
Hello it's me again lol such a small world isn't it ?
by the way I don't know Spanish so would translate the question for me to solve it please ?
Graph the line passing through the given point and having the given slope.
(1,-1), m= - 3/4
Answer: y=-3x/4 -1/4
Step-by-step explanation:
y=mx+b
-1=-3/4 * 1 +b
-1=-3/4 + b
(-1=-3/4 + b)*4
-4=-3+4b
4b=-1
b=-1/4
y=-3x/4 -1/4
Solve the following equation: -3 = 1 3/5+ m.
Answer:
m=-4 3/5
Step-by-step explanation:
I don't have the steps sorry
What is the result of 3.94 x 1,000? O 3.94 O 39.4 O 394 O 3,940
Answer:
3940 is the correct answer
pls help me and i mark u as brainlist
Answer:
the fourth one, H
Convert the percentage into a fraction.
3%
Answer:
3/100
Step-by-step explanation:
since every percent is out of 100 if you put into fraction form 3% would turn into 3/100
Answer:
3/100
Step-by-step explanation:
Since its a percentage, it's out of 100!! So, 3 out of 100 is simply 3/100. This one was easier and doesn't provide a large explanation, but I hope this helped!! I'm here if you need any more answers!! :)