The work in a office takes 150 hours to complete every week
each person in the office works for 32 hours a week
what is the smallest number of people needed to complete the work
Lydia ran the same race in 43.85 seconds on her first try and 43.24 seconds on her second try. How much faster was her second try?
Answer:
She ran faster on her second try by 0.61 seconds.
Step-by-step explanation:
43.85-43.24
0.61
The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.
Calculate the area of the square.
Step-by-step explanation:
Given,
length of rectangle(l)= 8cm
area of rectangle(A) = 48cm2
breadth of rectangle(b) = ?
Perimeter of rectangle (P)=?
We know ,
Area of rectangle(A) = l×b
or, 48cm2 = 8cm×b
or, 48cm2 = 8bcm
or, 48cm2/8cm = b
or, 6cm = b
or, b = 6cm
therefore, b = 6cm
Perimeter of rectangle (P) = 2(l+b)
= 2(8cm+6cm)
= 2×14cm
= 28cm
therefore, Perimeter of rectangle(P) = 28cm
Now,
According to the question,
Perimeter of rectangle(P) = Perimeter of square(P)
So,
Perimeter of square(P) = 28cm
length of square(l) = ?
Area of square (A) = ?
We know,
Perimeter of square (P) = 4l
or, 28cm = 4l
or, 28cm/4 = l
or, 7cm = l
or, l = 7cm
therefore, l = 7cm
Now,
Area of square (A) = l^2
= (7cm)^2
= 7cm×7cm
= 49cm^2
therefore, area of square (A)= 49cm^2
The area of the square based on the information is 49cm².
Since the rectangle has length 8 cm and area 48 cm², the width will be:
= 48/8 = 6cm.
Therefore, the perimeter will be:
= 2(l + w)
= 2(8 + 6)
= 28cm
Therefore, the length of the square will be:
= 28/4 = 7
Area of the square will be:
= 7cm × 7cm
= 49cm²
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On a scavenger hunt, you find 16 out of 25 objects. Write "16 out of 25" as a fraction, a decimal, and a percent.
Fraction:
Decimal:
Percent:
I need help ASAP
Answer:
Fraction: 16/25 Decimal: 6.25 Percent: 6%
Step-by-step explanation:
I am 99.99% sure this is right.. I hope it helps you.
The statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The Given statement is "16 out of 25".
The statement in mathematical form is:
16/25 (Fraction)
= 0.64 (Decimal)
= 64% (percent)
Hence, the statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
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what is the slope of the line passing through the points (0,-5) and (4,2)
Answer: 7/4.
Step-by-step explanation: To find the slope of a line, one must use the formula (y2-y1)/(x2-x1). In this case y2 is 2, y1 is -5, x2 is 4, and x1 is 0. We can plug this into the equation to get 7/4.
4 x 7/8 Pls I need help my mom is yelling at me
Answer:
3.5
Step-by-step explanation:
Answer:
7/2 or 3 1/2
Step-by-step explanation:
4 * 7/8 = 4/1 * 7/8 = 28/8 = 7/2 = 3 1/2
best estimate for 7/8-6/11
Answer:
WE ARE GONNA DIE
Step-by-step explanation:
BECAUSE BIDEN IS THE PRESIDENT AND DONALD TRUMP IS NOT. >.< I DONT LIKE BIDEN!!!!
Large chocolate bar has a base area of 48.96 square feet and its length is 0.6 foot shorter than twice its width. Find the length and width 
Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
V = Base area * heightGiven the following parameters
Base area = 48.96 square feet B = length * width48.96 square feet = lwIf the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
[tex]48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0[/tex]
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x=57 degree
Step-by-step explanation:
Answer:
x=57
Step-by-step explanation:
(x-5) + (2x+4) = 180
get all xs on the same side non xs on other side till you get
3x=171
then divide 171 by 3
x = 57
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 14cup of sugar.
Answer: 0.357
Step-by-step explanation:
Here is the remainder of the question:
What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?
We are going to solve this by using direct proportion,
y = kx
where,
x = number of cups of sugar = 14
y = number of cups of strawberries = 5
k = constant of proportionality
We slot the values into y = kx
y = kx
5 = 14k
k = 5/14
k = 0.357
The constant of proportionality is 0.357
plz
I will mark brainliest
Answer:
a)10
b)-11.4
Step-by-step explanation:
you should find common denominator bit don't forget that they are negative
Solve for x. 3(x + 4) + 2x = 5
Answer:
x=-7/5
Good Luck!!!
Answer:
x= -7/5 trust me
Step-by-step explanation:
i worked the equation out for u
Yolanda bought .5 pounds of grapes for $3.99. Find the unit rate
Answer:
1 pounds of grapes it is 7.98$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
using y=-6x what is the value of x if y=42
Answer:
Step-by-step explanation:
Y = - 6x
Putting value of 42
42 = - 6x
42/-6 = x
-7 = x
Answer:
x=-7
Step-by-step explanation:
y=-6x
y=42
use substitution
42=-6x
divide both sides by -6
x=-7
How does place value
help me subtract decimals?
Place Value helps you subtract decimals because without it it would be a mess. Everything has to be in order if not you get the wrong answer
At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?
Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the water
Answer:
[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]
Step-by-step explanation:
Original Question:
Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.Explanation:
Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]which is the solution to the inequality 2 3/5 b-8/15
Answer:
115b−120Step-by-step explanation:
Answer:
b>47/15 ... I think
Is this answer correct?
I need help with this, Its geometry
Answer:
Step-by-step explanation:
x + 17 + 6x + 10 + 4x - 34 = 180
11x + 27 - 34 = 180
11x - 7 = 180
11x = 187
x = 17
x + 17 = 17 + 17 =34
6(17)+10 = 102 + 10 = 112
4(17) - 34 = 68 - 34 = 34
Answer is D
How do I find the missing side?
Answer:
Step-by-step explanation:
as indicated by the red square, it is a right triangle. so you would a2 plus b2=c2. or in this case
11.9^2+b^2=14.7^2
141.61 + b^2 =216.09
b^2=74.48
b≈8.63
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+228x+71
Answer:
883.3
Step-by-step explanation:
thats all.
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+228x+71
dy/dx = -16(2x)+228
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 228
228 = 32x
x =7.125
Substitute the value of x in the equation to get the maximum height,
y=-16x²+228x+71
y=-16(7.125²)+228(7.125)+71
y=883.3feet
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.
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Brenda wants to buy a phone case that costs $35. It is on sale for 20% off. What would be the sales price? What are we finding?
A) part
B) whole
C) percent
Answer:
A
Step-by-step explanation:
answer this just tell me the color
Answer:
yellow
Step-by-step explanation:
Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables
Answer:
21
Step-by-step explanation:
your mom
what is the distance between points F(2,9) and G(-2,6)? Round to the nearest whole number.
Answer:
idk i need points
Step-by-step explanation:
Answer: Distance = 5
Step-by-step explanation:
I took the test yesterday and got it correct, I am reliable
Aiman has 6 pizzas to share at a party. If each person will eat 3/8 of a pizza, how many people can share the pizzas?
A 48 people
B 16 people
C 2 people
D 6 people
Answer:
The amswer is B, 16 people.
convert each terminating decimal to a fraction in its simplest form. A. 0.4 B. 0.625
Answer:
A. 2/5
B. 5/8
Step-by-step explanation:
0.4 = 4/10 = 2/5
625/1,000 = 125/200 =25/40 = 5/8
I need help please ASAP
Answer:
the answer is B (-5/7).....