Answer:
[tex]W = 8.255[/tex]
[tex]L = 31.02[/tex]
Step-by-step explanation:
Let L = Length and W = Width.
So:
[tex]L = 4W - 2[/tex]
[tex]Area = 256[/tex]
Required
Find L and W
Area is calculated as:
[tex]Area = L * W[/tex]
Substitute 4W - 2 for L and 256 for Area
[tex]Area = (4W - 2) * W[/tex]
[tex]256 = (4W - 2) * W[/tex]
Open Bracket
[tex]256 = 4W^2 - 2W[/tex]
Divide through by 2
[tex]128 = 2W^2 - W[/tex]
Equate to 0
[tex]2W^2 - W - 128 = 0[/tex]
An equation [tex]aw^2 + bw + c = 0[/tex] has the roots
[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 2[/tex] [tex]b = -1[/tex] [tex]c = -128[/tex]
So:
[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]
[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]
[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]
[tex]W = \frac{1\± 32.02}{4}[/tex]
[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]
[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]
[tex]W = 8.255[/tex] or [tex]W = -7.755[/tex]
But the dimension can not be negative.
So:
[tex]W = 8.255[/tex]
Recall:
[tex]L = 4W - 2[/tex]
[tex]L = 4 * 8.255 - 2[/tex]
[tex]L = 31.02[/tex]
Noah's brother sells cars and earns 4.5% commission. He sold a truck for $62,000. How much commission will his brother earn?
Answer:
the commission earn by his brother is $2,790
Step-by-step explanation:
The computation of the commission earn by his brother is as follows
= Selling price of the truck × commission percentage
= $62,000 × 4.5%
= $2,790
Hence, the commission earn by his brother is $2,790
We simply applied the above formula so that the correct value could come
And, the same is to be considered
please help I will mark brainliest
Answer: look up alaskan pipeline
Step-by-step explanation:
help Plzz!!!!!!!!!!!!!
Answer:
$0.27
Step-by-step explanation:
Dividing 3.78 and 14 would get you 0.27 which is the unit price per tangerine.
PLEASE HEEELLLPP MEEE!!! MATH!!!
Solve the system of linear equations by subtraction!
Please and thank you!!!!
Answer:
( 5, 2)
Step-by-step explanation:
solve by subrtaction
x -2y = 1
-x -4y = -13
-6y = -12 divide both sides by -6
y=2
x-2y=1
x -2*2 =1
x=1+4=5
Answer:
(5,2)
Step-by-step explanation:
x=1+2y and x+4y=13
1+2y+4y=13
y=2
x=1+2*2
x=5
(x,y)=(5,2)
You're welcome!
Four friends bought an extra-large $12 popcorn. Each person bought their own drink. The total cost of the food can be represented by the expression 4x + $12.
Answer:
True
Step-by-step explanation:
This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.
Each friend paid $4 for popcorn.
The total cost of the food can be represented by the expression 4x + $12.
Given
Four friends bought an extra-large $12 popcorn.
Each person bought their own drink.
Let x be the number of friends.
The total cost of food= Total number of friends + cost of popcorn.
The total cost of the food can be represented by the expression 4x + $12.
Therefore;
The amount paid by each friend is;
[tex]\rm 4x=12\\\\x=\dfrac{12}{3}\\\\x=4[/tex]
Hence, each friend paid $4 for popcorn.
To know more about Equation click the link given below.
https://brainly.com/question/2272409
What is the gravitational PE of the same 61.2 kg person standing on the 6th floor (Each story is 2.5 m high)?
Answer: U is the change in PE, m is the mass raised through a distance h. So, given m = 61.2 kg, each 1 m rise is an increase of (61.2)(9.8) = 600 J. Likewise, each floor (2.5 m) represents a change in PE of 1500 J for this mass.
What is the slope of the line that contains Points (-3,-5) and (2, 7)?
Answer:
12/5
Step-by-step explanation:
Answer: there is no valid slope. unless you have a fraction for the b
Step-by-step explanation:
If a bus driver leaves her first stop by 7:00 a.M., her route will take less than 35 minutes. If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Write an inequality which represents the time it takes to drive the route, r.
Answer:
r < 35 or r ≥ 43
Step-by-step explanation:
We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.
Since the time it takes to drive the route is r, then;
r < 35
Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;
r ≥ 43
Thus;
r < 35 or r ≥ 43
ill give the crown pls <3
Answer:
Below
Step-by-step explanation:
a) [tex]y =\frac{1}{3} \sqrt{x+4}[/tex]
b) [tex]y=4\sqrt{x} +3[/tex]
c) [tex]y=\sqrt{\frac{1}{2} x} -6\\[/tex]
A customer at a store paid $42 for 4 pairs of pants and 3 shirts At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?
Answer:
A
Step-by-step explanation:
I just took the test
1. A 13-ounce package of pistachios costs $5.99. ___________________________
Problems 2-4. Find the unit rate to the nearest cent per ounce. Compare.
2. A 24-ounce box of cornflakes costs $4.59. ___________________________
3. A 36-ounce box of cornflakes costs $5.79. ___________________________
4. Which box is the better buy? ___________________________
1)
2)
3)
4)
Answer:
1) 1 ounce costs 46 cents. 2) 1 ounce of cornflakes costs 19 cents ( 0.19125).
3) 1 once cornflakes is 16 cents (0.1608) ( 36-ounces). 4) The 36 ounce box is a better buy.
Step-by-step explanation:
Divide the cost by the number of x units to find the cost of one unit. You are welcome.
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year.
Complete question :
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year. What is her sales tax?
Answer:
$48.24
Step-by-step explanation:
Given that:
Sales price = 670
Discount = 10% off
Sales tax = 8%
Discounted price = (1 - 0.1) * 670
Discounted price = 0.9 * 670 = $603
Hence, purchase price = $603
Hence, sales tax = 8% of purchase price
8% of $603
0.08 * 603 = $48.24
HELP ME!
a student measures the length of an object to be 152 cm. what is the measurement in km?
Answer: 0.00152 km
Step-by-step explanation:
Answer: 0.00152km
Step-by-step explanation:
Eric had $15.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?
13
14
15
16
Answer:
13
Step-by-step explanation:
so you take $15 ÷ $1.14 = 13.15789. so you round it to 13
please help.............
Answer:
The answer is 4
Answer:
image 1
Step-by-step explanation:
because pointing down is then 180 and taking another 90 degrees and go in counterclockwise direction
best answer=brainiest can someone please explain algebraic expressions?
Answer: In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.
Step-by-step explanation:
Answer:
An algebraic expression includes variables. Variables are letters that stand for a potential number; most commonly you see x, y, and z used but you can use any letter. Constants are also common in algebraic expressions, and are numbers that are added or subtracted, as well as coefficients, which are what you multiply the variable by.
For example:
3x + 1
Here, the variable is x. The constant is 1. The coefficient is 3.
These are different then other expressions because of the addition of variables. 4 + 4 is not an algebraic expression, but 4x + 4 is.
Algebraic expressions also do not have equal signs, they are not equations.
They can also be more complicated than the ones I've expressed already. 3x^4 + 2x^2 + 4 is an algebraic expression too.
Hope this helps!
Solve for w
-6=2w+6
Simplify your answer as much as possible.
what would be the answer to this question?
Answer:
w = -6
Step-by-step explanation:
2w + 6 = -6
-6 -6
2w = -12
÷2 ÷2
w = -6
Answer:
Step-by-step explanation:
w - 6 = 2w + 6
Subtract 6 from both sides
w - 12 = 2w
subtract 1w, or w, from both sides
-12 = w
I neeed help pls :p Math
Answer:
C 4cm
Step-by-step explanation:
times 1.3 by 4 then divide 16 by 4
Rewrite
19/8
as a mixed number.
Answer:
189
8/91
8/19 your welcomeeeeeeeeeeee:)))))
3²+26+[tex]\sqrt{125\\}[/tex]-625
Answer:
−590+5√5
^-^hope this helped^-^
17 people over max capacity as an expression is what?
Answer: x + 17
Step-by-step explanation:
if capacity is x, 17 is added to x, hence x + 17
Help pls fast I really need help
Answer:
104
Step-by-step explanation:
13x4x2
Answer:
104 cubic inches
Step-by-step explanation:
Which expression is NOT equivalent to 6 × 14?
Answer:
D
Step-by-step explanation:
10(40)= 400
6(400)= 2,400
6(14)= 84
Therefore they are not equal.
1: How many half miles are in 12 miles?
2: How many quarter hours are in 5 hours?
3: How many one-third cups are in 9 cups?
4: How many one-eighth pizzas are in 4 pizzas?
5: How many one-fifths are in 7 wholes?
Molly has cups of flour. If this is / of the amount she needs to make bread, how many cups does she need?
Answer:
yes
Step-by-step explanation:
Answer: 1) 6
2) 20
3) 3
4) 32
5) dont know sorry
Step-by-step explanation:
12y - 15x + 6 please hurry
Answer: negative 8 or -8
Step-by-step explanation:
would include explanation but it would take a while hope it helped and may i have brainliest please?!
1+1-1/1+11-1/11=
First to answer gets Brainliest!!
Answer:11.9090909
Step-by-step explanation:
Answer:
11 10/11
1 + 1 - 1 + 11 - 1/11
12 - 1/11
12x11/11-1/11
132-1/11
131/11
11 10/11
Four students have rewritten the expression with rational exponent xi in radical form as shown.
Jodie
Mark
Paul
Sally
Who has rewritten this expression correctly?
A. Jodie
B. Mark
C. Paul
D. Sally
Factor this polynomial completely
x2 - 8x+ 12
O A. (x-2)(x-6)
B. (x + 2)(x-6)
c. (x - 2)(x+6)
D. (x-3)(x - 4)
Answer:
(x-2)(x-6)
Step-by-step explanation:
We look for two integers which multiply to +12 but add to -8 and we find those numbers by looking at the factors of 12={1,2,3,4,6,12}
We find that by picking 6 and 2,6×2=12 but 6+2 is not -8 so we tweak that as -6 and-2
By so doing, now -6×-2=12,-6+(-2)=-8
so we factor to get (x-2)(x-6)
If there are 360 g of radioactive material with a half life (decreased by half or 50% )of 1 hour, how much of the radioactive material will be left after 4 hours ?
After 1 hour, 360 g decays to 180 g.
After another hour (total 2 hours), 180 g decays to 90 g.
After another hour (total 3), 90 g decays to 45 g.
After one more (total 4), 45 g decays to 22.5 g.
More quickly, with a half-life of 1 hour, the 360 g of starting material decays to
(360 g) / 2⁴ = 22.5 g
In general, if the half-life is 1 hour, then after n hours, an initial amount A of this substance decays according to
A / 2ⁿ
It was -5Cin Copenhagen and -12C in Oslo. Which city was colder?