The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?
Answer:
Width: 13/2 ft.
Length: 12 ft.
Step-by-step explanation:
Let's assume the width is x
This means that the length is 2x-1, because it it one less than double the width.
The formula for the area of a rectangle is length*width, so
(2x-1)*x=78
Now let's solve for x
2x^2-x=78
2x^2-x-78=0
Use the quadratic formula
x=13/2 and x=-6
x cannot be negative, so we can rule out x=-6 and are left with x=13/2.
Substituting x back into our original assumptions, we now know that
The width is x=13/2 and
The length is 2x-1=2(13/2)-1=12
Final answer: The width is 13/2 ft. and the length is 12 ft.
24 swimmers are swimming in the pool. 9 of them are female. What fraction of swimmers are male?
Answer:
15/24 or 5/8
Step-by-step explanation:
Well 9 are female
The rest of the 24 has to be male so
24-9=15
15/24 or 5/8
The fraction of male swimmers is 5/8.
Given,
24 swimmers are swimming in the pool.
9 of them are female.
We need to find what fraction of male swimmers.
How do we find fraction of items from the total items?We write in two parts numerator and denominator.
= Numerator / Denominator
= Number of required items / Total number of items
Find the total number of swimmers.
= 24
Find the number of male swimmers.
= Total swimmers - Female swimmers
= 24 - 9
= 15
Find the fraction of male swimmers.
= Number of male swimmers / Total number of swimmers
= 15 / 24
Taking out the common factor
= 3 x 5 / 3 x 8
= 5/8
Thus the fraction of male swimmers is 5/8.
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Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).
What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.
Answer:
0.31 (31%)
Step-by-step explanation:
answer steps attached
Plz help ill give brainiest to who does PLZZZZ
Answer:
9.42 i think
Step-by-step explanation:
radius is 1.5 height is 4 so
V=1/3nr^2h
V=1/3n(1.5)^2(4)
V=1/3n(2.25)(4)
V=9.42
Hope this helps :)
Which expression represents the perimeter of the of the figure below?
Answer:
10x - 20
Step-by-step explanation:
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you assuming some things. First of all, for a two dimensional shape, the perimeter is defined as the distance around it. Suppose we have a rectangle whose dimensions are:
In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day
Answer:
The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:
= 1.
Step-by-step explanation:
a) Data and Calculations:
Endoscopies EP Studies Total
Projected number of studies 60 5 65
Time in minutes for per study 5 15
Total time required (in minutes) 300 75 375
Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.
b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1. The FTE has 450 minutes available for the additional procedures. She will only require 375 minutes. Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!
Find the Compound Interest
Principal: 100
Interest Rate: 0.4%
Time: 1 year
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]
=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
find the value of x.
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 8.4 cm and volume of 3119.5 cm3. Give the approximate answer rounded to 2 decimal places.
Thank you!
Answer:
r=8.4cm
v=3119.5cmcube
volume of a cylinder
=pie r square height
pie=22/7
22/7×8.4×8.4×h=3119.5cm cube
221.76cmsquareh=3119.5cm cube
___________________________
221.76cm square(both sides)
h=14.07cm
The height of the cylinder is h = 14.09 cm
Given data:
To find the height of the cylinder, the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.
Given that the radius is 8.4 cm and the volume is 3119.5 cm³, substitute these values into the formula and solve for h.
3119.5 cm³ = π(8.4 cm)²h
To isolate h, divide both sides of the equation by π(8.4 cm)²:
h = 3119.5 cm³ / (π(8.4 cm)²)
Now, calculate the approximate value of h as:
h ≈ 3119.5 / (π * 8.4²)
≈ 3119.5 / (3.14 * 70.56)
≈ 3119.5 / 221.1264
≈ 14.0989 cm
Hence , the height is 14.09 cm
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Mcm de 12 21 63
Encontrar el resultado
Answer:
Lo mcm es 252.
Step-by-step explanation:
El objetivo de esta queston es encontrar el mínimo multiplo comun de estes tres numeros.
Para eso, factoramos estes numeros en valores primos, e despues multiplicamos estos factores.
12 21 63
12 - 21 - 63|2
6 - 21 - 63|2
3 - 21 - 63|3
1 - 7 - 21|3
1 - 7 - 7|7
1 - 1 - 1
2*2*3*3*7 = 252
Lo mcm es 252.
Jade and Henry work for a company that sells buckets of popcorn. The company wants to have a special offer.
Here is Jade's idea for the special offer.
Put 20% more popcorn into each bucket and do not change the price.
Here is Henry's idea for the special offer.
Reduce the price and do not change the amount of popcorn in each bucket.
Henry wants his idea to give the same value for money as Jade's idea.
By what percentage, to the nearest whole number, does Henry need to reduce the price?
Answer:
17%
Step-by-step explanation:
17%
Step-by-step explanation:
Jade:
p-price
so 100%+20%=120% for the amount of cereal
Find 100%
120%=p
divide by 6
20%=p/6
times by 5
100% = 5p/6
Henry:
5p/6=83% Its the same amount of cereal but for 83% of the price
so 100-83=17%
which is the reduction
Find the area of the square or rectangle write your answer as a fraction
The solution is, the area of the square is 4/9 in^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).
i.e. A= l× l
here, we have,
In this problem we have a square
so
the area of a square is
A=b^2
we have
b=2/3 in
substitute
A=(2/3)^2
A=4/9 in^2
Hence, The solution is, the area of the square is 4/9 in^2.
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Which point is located in Quadrant I? A) (0, -5) B) (0, 0) C) (0, 5) D) (5, 1)
help please hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp
Answer:
uhm please show a graph
Step-by-step explanation:
could you show the graph?
the area of a square room is 144square metres what is the perimeter of the room
Answer:
the answer is 48
Step-by-step explanation:
12×12=144
4×12=48
ANSWER THIS PLEASE!!!!
Answer:
J
Step-by-step explanation:
Done.
In the geometric sequence below, what is the common ratio?
Sequence: 64,16,4,1
9514 1404 393
Answer:
1/4
Step-by-step explanation:
The common ratio is the ratio of successive terms:
16/64 = 4/16 = 1/4
The common ratio is 1/4.
Please help!
Which expression is equivalent to (1/2x+6)-(1/4x+2)?
A. 1/4 x - 4
B. 1/4 x + 4
C. 3/4 x - 4
D. 3/4 x + 4
Answer:
Choice B. 1/4 x + 4
Step-by-step explanation:
(1/2x+6)-(1/4x+2)
1/2x + 6 - 1/4x - 2
1/2 = 2/4
combine same values
1/4 x + 4
Please help!!!
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77
Answer:
B. $257.82 and $272.18
Step-by-step explanation:
PLATO USERS
1 A local college rents calculators to students
taking math classes. The cost to rent the
calculator is $5 per month plus a
nonrefundable fee of $10. Write an equation
to represent the cost, c, of renting a
calculator for m months.
2
Fleanor hart
Answers please and explain
Answer:
34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter
Step-by-step explanation:
type it in the calculator bc i dont have mine rn
Answer:
102
Step-by-step explanation:
Well it says use 3 instead of pi. So (3)(34)
Which is 102
write each of the following expression without using absolute value.
|6m-54|, if m<9
9514 1404 393
Answer:
54 -6m
Step-by-step explanation:
For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...
-(6m -54) = 54 -6m
What is a fraction? What does it represent? Give an example.
First to answer with a question that makes sense gets brainiest.
Answer:
Its how you represent a number. Less than a whole number.
Step-by-step explanation:
Answer:
.......................
Step-by-step explanation:
Find the 51th term of the arithmetic sequence 29 9 -11
Answer:
-971
Step-by-step explanation:
I plugged the numbers into a arithmetic sequence calculator
1/8 divided by 5 pls help
Answer:
1/40
Step-by-step explanation:
Answer:
decimal form- 0.025
fraction form- 1/40
Step-by-step explanation:
The cost to rent a U-Haul is $30 per day plus $0.75 per mile driven. What is the
maximum number of miles that can be driven in one day if the total rental cost cannot
exceed $135?
Answer: 140 miles
let me know if this is wrong
Step-by-step explanation:
135-30=105
105÷0.75=140
divide 12 unto two parts such that
their product is 35
Convert grams (g) and milligrams (mg) to grams.
Answer:
1mg= 1000g
Step-by-step explanation:
1000 grams makes up 1miligram
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
c -1 and 2
Step-by-step explanation:
can i have BRAINLIEST?
