Answer
A. The area of an object with a perimeter of 26 centimeters
Step-by-step explanation:
I just took the quiz.
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
Total number of bills of one, five and ten = 165
Total amount = $893
There are twice as many five dollar bills as there are ones and tens combined.
To find:
Number of bills of each type.
Solution:
Let number of bills of one, five and ten are x, y and z respective.
Total number of bills of is 165.
\(x+y+z=165\) ...(i)
Total amount is $893.
\(1x+5y+10z=893\) ...(ii)
There are twice as many five dollar bills as there are ones and tens combined.
\(y=2(x+z)\) ...(iii)
From equation (iii), we get
\(\dfrac{y}{2}=x+z\) ...(iv)
Putting \(x+z=\dfrac{y}{2}\) in (i), we get
\(\dfrac{y}{2}+y=165\)
\(\dfrac{3y}{2}=165\)
\(3y=330\)
\(y=110\)
Putting y=110 in (iv), we get
\(x+z=\dfrac{165}{2}\)
\(x+z=55\)
\(x=55-z\) ...(v)
Putting y=110 and x=55-z in (ii), we get
\((55-z)+5(110)+10z=893\)
\(55-z+550+10z=893\)
\(9z+605=893\)
\(9z=893-605\)
\(9z=288\)
Divide both sides by 9.
\(z=32\)
Putting z=32 in (v), we get
\(x=55-32\)
\(x=23\)
Therefore, the number of one, five and ten bills are 23, 110 and 32 respectively.
There are 23 bills of $1 type.
There are 110 bills of $5 type.
There are 32 bills of $10 type.
According to the given situation
You are given $893 in one, five, and ten dollar bills.
Let the number of $1 bills be "x"
Let the number of $5 bills be "y"
Let the number of $10 bills be "z"
Total number of bills = x + y + z
Also it is given that there are twice as many five dollar bills as there are ones and tens combined
hence we can write the equations in the form of 3 variables
\(\rm x + y + z = 165........(1) \\x +5y + 10z = 893.........(2) \\y = 2\times (x+z) ..........(3) \\\)
These are three linear equations with 3 variables that can be solved for x, y and z .
On solving equations (1) , (2), and (3) we get
\(x = 23 \\y = 110 \\z = 32 \\\)
So we can conclude that there are 23 bills of $1 type.
There are 110 bills of $5 type.
There are 32 bills of $10 type.
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A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
Which is the correct factorization of x 2 - 10x -24? please tell me
Answer:
-2(5x+11)
Step-by-step explanation: you have to find the polynomial
Answer:
ufmmvfjyffvjjghjghncffgghjvdthvdfbn
Simplify the expression: –5(–6 + 2c)
Steps to solve:
-5(-6 + 2c)
~Distribute
30 - 10c
Best of Luck!
Write
3
2
3
as an improper fraction. You must show your work to receive all possible points.
Answer:
2a + 4 > 12
Step-by-step explanation:
An army camp had a food provision of 35 days for 800 soldiers on the first day of the month. On
the same day, some of the soldiers were transferred to another camp. The food provision lasted for
50 days for the remaining soldiers. How many soldiers were transferred to the other camp?
(Assume that each soldier consumes equal quantity of food per day.)
240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.
Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.
After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.
Since the amount of food remains the same, we can set up the following equation:
\(28,000 = (800 - x) * 50\)
Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:
\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)
By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.
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Kuis [+50]:
I had $100 with me, and spent 3/4 of the total for groceries, and 1/5 of the total for dinner outside. The rest was for beer. How much money have I spent for beer?
Question↓
I had $100 with me , and spent 3/4 of the total for groceries, and 1/5 of the total for dinner outside. The rest was for beer. How much money have I spent for beer?
Answer↓
The Answer Would Be 10$
Because 3/4 of 100$ Is 75$ And 1/5 of 75 Equals 90$ Leaving 10$ for Beer.
xXxAnimexXx
Hope this Helps! ^ω^
Answer:
The answer is $10... If I'm doing the math correctly.
Step-by-step explanation:
Think of $100 as $1, if you spent 3/4 of a dollar you basically spent 75 cents. Since it's $100 you would've spent $75, so that's your new total.
Now 1/5 of 75 is 15, so there for you spent an extra $15, so you only have $10 left.
Can someone please hope and show the work?
Answer: 16 pounds of grain.
Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.
(let me know if you would like me to explain more on this)
find the length and the slope of each side of the triangle below. then, find the coordinates of the midpoint of each side. when the slope is undefined, write undefined in the response box.
The triangle has three side x,y and √(x²+y²), the slope of x is zero, the slope of y is undefined, the slope of √(x²+y²) is tanα. The coordinate of the midpoint of x is x/2,0 and y is 0, y/2
how to determine the length and slope of the side of a triangle?suppose the triangle is right-angled and the sum of other two angles are also 90 degrees. we know that the side opposite to the right angle is called hypotenuse. let the other two side is denoted by x and y. Now, x is the base of triangle, and the rest of the side is y. The angle between hypotenuse and base is denoted by α . As per Pythagorean theorem, hypotenuse = √(x²+y²).
slope can be calculated by tanα or using the formula (y₂-y₁)/(x₂-x₁)
according to trigonometric ratio, tanα = opposite side/base = x/y
tanα is the slope of hypotenuse.
the side length x is along the horizontal axis, so its y coordinate is zero and slope is also zero.
the side length y is along the vertical axis whose x coordinate is zero that means slope is undefined.
When does a slope is defined?As per the formula (y₂-y₁)/(x₂-x₁) used to calculate slope, whenever x coordinate is zero the result is written as undefined.
hence, the triangle is right-angled, and the biggest side has a slope only.
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What is 29% of 150?
Show work
Answer:
To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.
Then, we multiply 0.29 by 150 to find the answer:
0.29 * 150 = 43.5
So, 29% of 150 is equal to 43.5.
Here's the work:
29% * 150 = 0.29 * 150 = 43.5
\(\huge\text{Hey there!}\)
\(\mathsf{29\%\ of \ 150}\)
\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)
\(\mathsf{= \dfrac{29}{100} \times 150}\)
\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)
\(\mathsf{= \dfrac{29(150)}{100(1)}}\)
\(\mathsf{= \dfrac{4,350}{100}}\)
\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)
\(\mathsf{= \dfrac{87}{2}}\)
\(\mathsf{= 43 \dfrac{1}{2}}\)
\(\mathsf{= 43.5}\)
\(\huge\text{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)
\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)
\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)
\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)
\(\huge\text{Good luck on your assignment \& enjoy your day! }\)
I guessed Andy was 32 years old, but he's actually 38 years old. What is my percent of error?
Answer:
32 of 38 is 84.210% that's your answer
Answer:
15.7895%
Step-by-step explanation:
Stretched 1 cm beyond its natural length, a rubber band exerts a restoring force of magnitude 2 newtons. Assuming that Hooke's Law applies, answer the following questions:
(a) How far will a force of 3 newtons stretch the rubber band?
(b) How much work does it take to stretch the rubber band this far?
A) The distance that a force of 3 newtons would stretch the rubber band is; 0.015 m
B) The amount of work it takes to stretch the rubber band this far is; 0.0225 J
How to solve Hooke's Law?
From Hookes's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.
F = Ke
Where;
F = force
K = force constant
e = extension
Thus, for a restoring force of magnitude 2 newtons ;
2 N = K(1 × 10⁻²) m
K = 2 N /(1 × 10⁻²) m
K = 200 N/m
a) For a force of 3 newtons, we have;
3N = 200 N/m × a
Where a is the extension in meters
a = 3N/200 N/m
a = 0.015 m
b) The formula to find the work done is;
P.E = ¹/₂Ke²
P.E = ¹/₂ * 200 * 0.015²
P.E = 0.0225 J
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What are the domain and range of the function below?
Answer:
Step-by-step explanation:
Domain
-infinity < x < + infinity
Range
-infinity < y < + infinity
Notice that the answers look somewhat the same. There are no breaks in the graphed line and it looks like what you are dealing with is a line, not a line segment, and not a ray.
Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 16 planters cost?
Answer:
$48
Step-by-step explanation:
first you have to divide 18 by three to see how much one costs then multiply that number by 16. that number was 3.
The cost of 16 planters is $48.
Given that, Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price.
We need to find how much will 16 planters cost.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Now, let the cost of 16 planters be x.
Then, the proportion is 6:18::16:x
Product of means=18×16
Product of extremes=6×x
So, Product of means=Product of extremes
18×16=6×x
⇒x=288/6
⇒x=48
Therefore, the cost of 16 planters is $48.
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Solve for x. I attached the question. Pls help me :(
Answer:
x = 16°
Step-by-step explanation:
What we know:
∠JML = 47°
∠JKL = (7x + 21)°
∠JML is an inscribed angle
∠JKL is an inscribed angle
Inscribed angles are half of the value of their intercepted arc
So if m∠JML = 47° then mArc JL is double that or 94°
And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so
mArc JL + Arc JML = 360°
94 + Arc JML = 360
Subtract 94 from both sides to isolate Arc JML
Arc JML = 266°
So if Arc JML = 266° then it's intercepted inscribed angle is half of that.
Arc JML ÷ 2 = ∠JKL
266 ÷ 2 = ∠JKL
133 °= ∠JKL
Now we can use this value and set it equal to the expression to find the value of x
(7x + 21) = 133
Subtract 21 from both sides to isolate the x
7x = 112
Divide both sides by 7
x = 16
A and B are complementary angles. If m A is 30°, what is the
measure of B?
Answer:
A+B=90'(being complementary angle)
30'+B=90'
B'=90'-30'
B'=60'
Thank you
The prices of paperbacks sold at a used bookstore are approximately Normally distributed, with a mean of $7.85 and a standard deviation of $1.25.
Use the z-table to answer the question.
If the probability that Joel randomly selects a book in the D dollars or less range is 56%, what is the value of D?
$4.46
$7.75
$8.04
$8.10
(C) 8.04
Answer:
The answer you want is indeed, (C).
8.04
ED2021
Answer:
C) 8.04
Step-by-step explanation:
edge 2023
What is the distance between the points (-1,2) and (2,3).
9514 1404 393
Answer:
3.16 ≈ 3.2
Step-by-step explanation:
Put the numbers in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10
d ≈ 3.16 ≈ 3.2
The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = \(\frac{3}{2}\)x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answer:
1 1/2
Step-by-step explanation:
Hi. Could someone please help me with this !!
Answer:
The slope is 5.
Hope this helps!
Step-by-step explanation:
( x, y )
( 6, 50 ) and ( 12, 80 )
\(\frac{80-50}{12 - 6} < = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)
\(\frac{30}{6} = \frac{5}{1} = 5\)
The slope is 5.
\( \bf \: If \: f(t) = 50 sin ( 100 π + 0.4 ) Then \: \: ST \: \: f( \frac{1}{50} + 1) = f(t) \)
Thank You! :)
Here it is given that
\(\displaystyle \sf{f(t) = 50 \: \sin(100\pi t+ 0.4)}\)
Now
\(\displaystyle \sf{f \bigg( \frac{1}{50} + t \bigg) }\)
\(\displaystyle \sf{ = 50 \: \sin \Bigg[100\pi \bigg( \frac{1}{50} + t \bigg)+ 0.4 \Bigg] }\)
\(\displaystyle \sf{ = 50 \: \sin \Bigg[ \bigg(100\pi \times \frac{1}{50} + 100\pi t \bigg)+ 0.4 \Bigg] }\)
\(\displaystyle \sf{ = 50 \: \sin \Bigg[ \bigg(2\pi + 100\pi t \bigg)+ 0.4 \Bigg] } \\ \\ \displaystyle \sf{ = 50 \: \sin ( 100\pi t + 0.4 ) }\)
\(\sf{ = f(t)}\)
Hence proved━━━━━━━━━━━━━━━━Based on the proof, the function \(f(\frac{1}{50} +t)\) is equal to f(t).
What is a function?A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.
Given the following function:
\(f(t)=50sin(100 \pi t+0.4)\)In this exercise, you are required to show that the given function is equal to \(f(\frac{1}{50} +t)\).
Substituting for t, we have:
\(f(\frac{1}{50} +t)=50sin(100 \pi (\frac{1}{50} +t)+0.4)\\\\f(\frac{1}{50} +t)=50sin( \frac{100 \pi}{50} +100 \pi t+0.4)\\\\f(\frac{1}{50} +t)=50sin(100 \pi t+0.4)\\\\f(\frac{1}{50} +t)=f(t)\)
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The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in. What is the current temperature?
Factor $9p^2 + 30p + 25.$ pls help
Answer:
(3p + 5)^2
Step-by-step explanation:
9p^2 + 30p + 25
9p^2 is the square of 3p = a
25 is the square of 5 = b
This may be the square of a binomial.
We need to check the middle term.
(a + b)^2 = a^2 + 2ab + b^2
2ab = 2(3p)(5) = 30p
This is the square of a binomial.
9p^2 + 30p + 25 = (3p + 5)^2
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
Maria is sitting on a Ferris wheel such that she rotates around a circular path whose radius is 22 feet. Through what
radian angle does Maria rotate if she travels a distance of 552 feet?
Answer:
25 radians
Step-by-step explanation:
The appropriate formula is that for arc length: s = rФ, where Ф represents the central angle in radians.
Solving for Ф, we get Ф = 552 ft / 22 ft = 25 radians, approximately.
Since 1 radian is approximately 57.1 degrees, this 25 radian result is roughly equivalent to 1428 degrees.
please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Answer:
Step-by-step explanation:
(9x-22) + 61 + (5x-7) + 34 = 360
14x = 294
x = 21°
:::::
arc GK = 9x-22 = 167°
:::::
arc HJ = 5x-7 = 98°
:::::
arc HGK = arc GK + 61 + 34 = 262°
:::::
arc GKJ = arc GK + 34 = 201‡
Angles in a circle add up to 360 degrees.
\(\mathbf{x = 21}\)\(\mathbf{GK = 167}\)\(\mathbf{HJ = 98}\)\(\mathbf{HGJ = 262}\)\(\mathbf{GKJ = 201}\)The given parameters are:
\(\mathbf{GH = 61}\)
\(\mathbf{HJ = 5x - 7}\)
\(\mathbf{JK = 34}\)
\(\mathbf{KG = 9x - 22}\)
The sum of angles in a circle is 360 degrees.
So, we have:
\(\mathbf{GH + HJ + JK + KG=360}\)
So, we have:
\(\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}\)
\(\mathbf{14x = 294}\)
Divide both sides by 14
\(\mathbf{x = 21}\)
GK is calculated as:
\(\mathbf{GK = 9x - 22}\)
\(\mathbf{GK = 9 \times 21 - 22}\)
\(\mathbf{GK = 167}\)
HJ is calculated as:
\(\mathbf{HJ = 5x - 7}\)
\(\mathbf{HJ = 5 \times 21 - 7}\)
\(\mathbf{HJ = 98}\)
HGJ is calculated as:
\(\mathbf{HGJ = HG + GK + KJ}\)
\(\mathbf{HGJ = 61 + 167 + 34}\)
\(\mathbf{HGJ = 262}\)
GKJ is calculated as:
\(\mathbf{GKJ =GK + KJ}\)
\(\mathbf{GKJ = 167 + 34}\)
\(\mathbf{GKJ = 201}\)
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Completely 225c to the 7th power b to the second power+75cb to the second power. factor .
Answer:
Step-by-step explanation:
Example:
Calculate the exponent for the 3 raised to the power of 4 (3 to the power of 4).
It means = 34
Solution:
3*3*3*3 = 81
4 to the 3rd power = 81
Therefore the exponent is 81
2 raised to the power calculator.
Example:
What is the value of exponent for 2 raise to power 9 (2 to the 9th power)
It means = 29
Solution:
2*2*2*2*2*2*2*2*2 = 512
2 to the 9th power = 512
Therefore the exponent is 512.
Example:
How do you calculate the exponents of 5,6,7 to the power of 4?
It means = 54, 64, 74
Solution:
5*5*5*5 = 625
6*6*6*6 = 1296
7*7*7*7 = 2401
Therefore the exponents are 625, 1296, 2401.
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
Hartman Motors has $15 million in assets, which were financed with $6 million of debt and $9 million in equity. Hartman's beta is currently 1.4, and its tax rate is 30%. Use the Hamada equation to find Hartman's unlevered beta, bU. Do not round intermediate calculations. Round your answer to two decimal places.
Answer:
Unlevered beta ≈ 1.09
Step-by-step explanation:
Unlevered beta is basically the unlevered weighted average cost as it shows the volatility of returns without financial leverage. Unlevered beta is also known as asset beta, while the levered beta is commonly known as equity beta. Unlevered beta is calculated from the hamada equation as:
Unlevered beta = Levered beta/[1 + ((1 - Tax rate) × (Debt / Equity))]
We are given;
Levered beta = 1.4
Tax rate = 30% = 0.3
Debt = $6 million
Equity = $15 million
Thus, plugging these into the hamada equation, we have;
Unlevered beta = 1.4/[1 + ((1 - 0.3) × (6/15))]
Unlevered beta = 1.4/(1 + (0.7 × 0.4)
Unlevered beta = 1.4/(1 + 0.28)
Unlevered beta = 1.4/1.28
Unlevered beta = 1.09375
To 2 decimal places;
Unlevered beta ≈ 1.09
The greatest sum of two consecutive integers is at most 400. Find a pair of integers with the greatest Sum.
Answer:
199 + 200
Step-by-step explanation:
The greatest sum of two consecutive integers that is either less than or equal to 400 is 199 + 200.