The perimeter of a rectangle is 34cm.Find the breadth of the rectangle if its length is 12cm.
Answers
breadth = 5 cm :)
Related Questions
Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G"H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answers
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
on edge
7 more than the product of 8 and 4
Answers
Answer:
39
Step-by-step explanation:
product = 2 numbers multiplied by each other
8 x 4 = 32
32 + 7 = 39
The product of two numbers is when you multiply those two numbers together.
So, the product of 8 and 4 would simply be 8 * 4=32
7 more than 32 would simply be 32 + 7=39
The answer is 39
1)
► If the ratio of cars to trucks in a parking lot is 8 to 3 and there are 21 trucks, how many cars are there? I don’t know where to start I need help!! This needs to be shown full work on my college math class that’s a requirement!! Can anyone give me an explanation ASAP!!!
Answers
Answer:
So a ratio of 8:3 means for every 8 cars that is 3 trucks so we have the number of trucks which is 21 so what i did to find the answer was see how many times 3 went into 21 which is 7 times then you would take the 7 and times it by 8 and get 56 so there are 56 cars.
Step-by-step explanation:
Final answer:
To determine the number of cars, we use the ratio of cars to trucks (8 to 3) with the total number of trucks (21) to find the common multiplier. Multiplying the ratio number for cars (8) by the multiplier (7) gives us 56 cars in the parking lot.
Explanation:
Calculating the Number of Cars in a Parking Lot
To calculate the number of cars in the parking lot when we know the ratio of cars to trucks and the number of trucks, we can set up a proportion. Given that the ratio of cars to trucks is 8 to 3 and there are 21 trucks, we can represent the number of cars as 8x and the number of trucks as 3x, where x is the common multiplier for the ratio. Since we know there are 21 trucks, we can set 3x equal to 21 and solve for x:
3x = 21
Divide both sides of the equation by 3:
x = 21 / 3
x = 7
Now that we have the value of x, we can find the number of cars by multiplying the ratio number for cars (8) by x (7):
Number of cars = 8 x 7
Number of cars = 56
Therefore, there are 56 cars in the parking lot.
Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.
Jack spent $22 on 1 daylily and 5 geraniums. Julio spent $30 on 13 daylilies and 1 geranium. Find the cost of one daylily.
Answers
Cost of one daylily is $2 and cost of one geranium is $4.
Step-by-step explanation:
Let,
Cost of one daylily = x
Cost of one geranium = y
According to given statement;
x+5y=22 Eqn 1
13x+y=30 Eqn 2
From Eqn 1;
x=22 - 5y
Putting this value of x in Eqn 2;
[tex]13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256[/tex]
Dividing both sides by -64
[tex]\frac{-64y}{-64}=\frac{-256}{-64}\\y=4[/tex]
Putting y=4 in Eqn 1
[tex]x+5(4)=22\\x+20=22\\x=22-20\\x=2[/tex]
Cost of one daylily is $2 and cost of one geranium is $4.
Keywords: linear equation, substitution method
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the price of a gallon of heating oil rose from 1.60 a gallon to 1.92 . by what percent did the price increase?
Answers
Answer:
20%
Step-by-step explanation:
1.92 - 1.60 = 0.32
percentage increase = (0.32/1.60) * 100 =
0.2 * 100 = 20%
Answer: required percent increase in price=20%
Step-by-step explanation:
required percent increase in price=[tex]\frac{1.92-1.60}{1.60}[/tex]\times100
=[tex]\frac{0.32}{1.60}[/tex]\times100
=[tex]0.20\times100[/tex]
=20%
anybody help me to solve this question.
Answers
Answer:
[tex]\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP[/tex]
Step-by-step explanation:
Given that [tex](b-c)^2, (c-a)^2 , (a-b)^2[/tex] are in AP
To prove: [tex]\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}[/tex] are in AP
From given as we know if p , q, r are in AP then 2q= p+r.
[tex]2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab[/tex]
Now
[tex]\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc[/tex]
Which is the result of AP
.
Hence proved
The local appliance store is offering 15% off an entire purchase of $2,000 or more; or 30% off a single
item of $1,000 or more. Use the prices listed above to determine which offer will save the most
money on these appliances?
Answers
Answer:
The offer of 30% off a single item of $ 1000 or more will save most money on these appliances .
Step-by-step explanation:
Given as :
The purchase price = $ 2000
The offering discount = 15 %
Let The price of item after discount = x
So , x = ( $ 2000 ) - ( $ 2000 × 15 % )
Or, x = ( $ 2000 ) - ( $ 2000 × 0.15 )
Or, x = ( $ 2000 ) - ( $ 300 )
∴ x = $ 1700
Now, Again
The purchase price = $ 1000
The offering discount = 30 %
Let The price of item after discount = y
So , y = ( $ 1000 ) - ( $ 1000 × 30 % )
Or, y = ( $ 1000 ) - ( $ 1000 × 0.3 )
Or, y = ( $ 1000 ) - ( $ 300 )
∴ y = $ 700
Now, If we purchase two item at the cost price of $ 700 each , then it will cost as $ 700 × 2 = $ 1400
And for the same number of items at the cost price is $ 1700 after 15 % discount on list price of $ 2000 , So the second offer will save most .
Hence The offer of 30% off a single item of $ 1000 or more will save most money on these appliances . Answer
6. Emma uses 10 pages of paper when she writes anything. She uses an
additional 4 pages of paper every hour that she writes. Write an equation
that would show how many pages of paper she uses when writing.
Answers
Answer:
4x+10
Step-by-step explanation:
Emma is guaranteed to use 10 pages when she writes something. Since you can't tell how many hours she has written, you use x to represent the hours she has spent writing. If she writes 4 pages every hour, that would be 4 × (hours spent writing) or 4x. Add 4x to the original guaranteed 10 pages she uses and you have your expression.
I can't figure out what I'm doing wrong can you please help me I'll give you a lot of points and this this really hard :(
MICKEY AND MINNIE ARE EXPECTING.
THEY ARE A VERY HAPPY COUPLE.
THE DOCTOR SAID THEY ARE HAVING 5 BOYS AND 5 GIRLS.
MICKEY AND MINNIE ARE RATS.
EVERY THREE WEEKS AN ADULT RAT COUPLE CAN HAVE BABIES.
IT TAKES 6 WEEKS FOR A BABY RAT TO BECOME AN ADULT
AND BE OLD ENOUGH TO HAVE A BABY.
ASSUMING MICKEY AND MINNIE WANT TO HAVE AS MANY CHILDREN AS POSSIBLE AND THEIR OFFSPRING WANT TO HAVE AS MANY CHILDREN AS POSSIBLE,
WHAT WILL BE THEIR ENTIRE POPULATION IN ONE YEAR? (52 WEEKS)
(INCLUDING MICKEY AND MINNIE)
(ASSUME EVERY PREGNACY WILL CONSIST OF 5 BOYS AND 5 GIRLS)
Answers
Answer:
1,495,672
Step-by-step explanation:
Build a table to track the number of adult rats, 3-week old rats (let's call them teens), and baby rats.
[tex]\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\end{array}\right][/tex]
The pattern is this: every 3 weeks, the number of adults becomes the previous number of adults + the number of teens. The number of teens becomes the previous number of babies. And the number of babies becomes the previous number of adults × 5.
Continuing:
[tex]\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\\21&202&160&460\\24&362&460&1010\\27&822&1010&1810\\30&1832&1810&4110\\33&3642&4110&9160\\36&7752&9160&18210\\39&16912&18210&38760\\42&35122&38760&84560\\45&73882&84560&175610\\48&158442&175610&369410\\51&334052&369410&792210\end{array}\right][/tex]
So at the end of the year, there are a total of 1,495,672 rats.
A Job hotline service charges $25 plus a 4% commission c on the first month of earning if it finds work for a client. Write an equation that represents the total cost T to find a job through the hotline. What is the cost of a client earns $1500 the first month
Answers
Answer: Equation for total cost: T = $25 + 0.04E
Cost of a client who earns $1500 = $85
Step-by-step explanation:
Let E = earning in the first month
Commission (c) = 0.04 (4%) × E
Total cost will be the addition of $25 fixed amount and commission
Therefore, an equation that will represent total cost of finding a job through the hotline will be:
T = $25 + 0.04E
The cost of a client whose first month earnings is $1500 will be
T = $25 + 0.04 ($1500)
T = $25 + $60 = $85
I found that helpful
20 points for this question:
Find the domain.
Answers
Answer:
The Domain D = {y ∈ R / y ≠ [tex]\dfrac{b}{2}[/tex] y ≠ 0}
Step-by-step explanation:
Let ,
f(y) = [tex]\dfrac{b^{2} - 4by }{2y^{2} - by }[/tex] - [tex]\dfrac{4y}{b-2y}[/tex]
The above function would be defined only when the denominator of anyone or both the terms of the function do not become 0 -
[tex]2y^{2} - by[/tex] ≠ 0 and b - 2y ≠ 0
∴ y(2y - b) ≠ 0 and y ≠[tex]\dfrac{b}{2}[/tex]
Either y ≠ 0 or y ≠ [tex]\dfrac{b}{2}[/tex]
∵ The domain of a function consists of only those points where the function is defined -
The Domain D consists of all y ∈ Real numbers such that y ≠ 0 and y ≠ [tex]\dfrac{b}{2}[/tex]
Write an equivalent expression for 48+18x
Answers
Answer:
2(24+9x)
Step-by-step explanation:
Answer:
6(8+3x)
Step-by-step explanation:
48+18x=6(8+3x)
Select the correct answer.
The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of
the object.
E = mv2
Solve the formula for v.
Answers
You can solve the kinetic energy formula E = mv² for 'v' by first dividing by 'm' to get E/m = v² and then taking the square root of both sides, resulting in v = sqrt(E/m).
Explanation:The kinetic energy of an object is given by the equation E = mv², where 'm' is the mass of the object and 'v' is its speed. If you want to solve this formula for 'v', you would start by dividing both sides of the equation by 'm'. Doing this, you would get: E/m = v². Then, you would take the square root of both sides to isolate 'v'. This would give you: v = sqrt(E/m), where sqrt stands for 'square root'.
This means that the speed of the object can be found by taking the square root of the kinetic energy divided by the mass of the object.
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The expression for y is y = [tex]\frac{2E}{m}[/tex].
To solve the kinetic energy formula E=[tex]\frac{1}{2}[/tex] [tex]mv^{2}[/tex] for y, we need to isolate y on one side of the equation. The formula can be rearranged as follows:
E=[tex]\frac{1}{2}[/tex][tex]mv^{2}[/tex]
Multiply both sides of the equation by 2 to eliminate the fraction:
2 E = [tex]mv^{2}[/tex]
Now, to solve for y, which is represented by [tex]mv^{2}[/tex] , divide both sides by m:
y = [tex]\frac{2E}{m}[/tex]
So, the expression for y is y = [tex]\frac{2E}{m}[/tex] .
This final equation tells us that y (representing [tex]mv^{2}[/tex] ) is equal to twice the kinetic energy (E) divided by the mass (m) of the object.
In physics, [tex]mv^{2}[/tex] is often associated with momentum or the force needed to change the object's velocity.
This derived formula provides a clear representation of the relationship between kinetic energy, mass, and velocity in terms of y.
Question
The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of the object. E= 1/2 mv^2 Solve the formula for y.
wuts 4x +6x= plzzzzzzzzzzzzzz help me im in 4th grade
Answers
Answer:
10x
Step-by-step explanation:
Answer:
10x
Step-by-step explanation:
since they both are the same just add them and done
How many solutions does this system have?
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
3x-5y=15
6x-10y=30
----------------
simplify 6x-10y=30 into 3x-5y=15
Answer:
C, Since there is is more then one solution
Step-by-step explanation:
7. 6h - 18 < 6h + 1
Answers
Answer:
Explanation:In this exercise we have to solve the following inequality:
[tex]6h-18<6h+1[/tex]
Step 1. Subtract 6h from both sides:
[tex]6h-18-6h<6h+1-6h[/tex]
Step 2. Simplify:
[tex]6h-6h-18<6h-6h+1 \\ \\ -18<1[/tex]
This is always true because -18 is a number less than 1. Therefore, for any real h-value the inequality is always true.
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If a figure is translated 7units to the right and 4 units down what can be said about the perimeter of the transformed image
Answers
Answer:
nothing has changed about the shape
Step-by-step explanation:
the shapes perimeter has neither grown or shrunk as it wasn't dialated only moved
What equation is the result of solving 7+4x=3y for x
Answers
Answer:
x=3y/4 - 7/4
Step-by-step explanation:
Answer:
x = [tex]\frac{3y-7}{4}[/tex]
Step-by-step explanation:
Given
7 + 4x = 3y ( subtract 7 from both sides )
4x = 3y - 7 ( divide both sides by 4 )
x = [tex]\frac{3y-7}{4}[/tex]
y-1=-2(x+3) in standard form
Answers
Answer:
2x + y + 5 = 0
Step-by-step explanation:
y − 1 = -2 (x + 3)
y − 1 = -2x − 6
2x + y + 5 = 0
Which equation is equivalent to 3=87/h?
Answers
Answer:
h=87/3
Step-by-step explanation:
3=87/h
h=87/3
Tom simplified an expression in three steps, as shown:
Which is the first incorrect step and why?
Step 1, all the exponents are increased by 4
Step 2, the exponents of the same base are added during multiplication
Step 3, the exponents of the same base are subtracted during division
Step 3, all the exponents are added during division
Answers
Answer:
Step 1) is incorrect.
Step-by-step explanation:
Answer:
Step one is the one that is wrong
Step-by-step explanation:
Cat hacker
The cost
y
y
(in dollars) to rent a kayak is proportional to the number
x
x
of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.
a. Write an equation that represents the situation.
An equation that represents the situation is
y=
y=
.
Question 2
b. Which is the best Interpretation of the slope?
It costs $9 every 3 hours to rent a kayak.
It costs $9 per hour to rent a kayak.
It costs $81 per hour to rent a kayak.
It costs $24 per hour to rent a kayak.
Question 3
c. How much does it cost to rent the kayak for 5 hours?
It costs $ ? to rent the kayak for 5 hours.
Answers
a. An equation that represents the situation is y = 9 x
b. The best Interpretation of the slope is " It costs $9 per hour to rent a kayak " ⇒ 2nd answer
c. It costs $45 to rent the kayak for 5 hours
Step-by-step explanation:
Proportional relationship means two quantities vary with each other
If y varies directly as x, then
y ∝ x y = k xk is called the constant of proportionality You can find k by using the initial values of x and yThe cost " y " in (dollars) to rent a kayak is proportional to the
number of hours " x " that you rent the kayak
∵ y ∝ x
∴ y = k x , where k is the constant of proportionality
∵ It costs $27 to rent the kayak for 3 hours
∴ y = 27 and x = 3
- Substitute these value in the equation above
∴ 27 = k (3)
- Divide both sides by 3
∴ 9 = k
∴ y = 9 x
a. An equation that represents the situation is y = 9 x
∵ The slope is the unit rate of the cost
∵ The slope = 9
∴ The unit rate is $9 per hour
b. The best Interpretation of the slope is " It costs $9 per hour to rent a kayak "
∵ y = 9 x
∵ x = 5 hours
- Substitute x by 5 in the equation above
∴ y = 9 (5) = $45
c. It costs $45 to rent the kayak for 5 hours
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Final answer:
The equation representing the situation is y = 9x. The slope indicates that it costs $9 per hour to rent the kayak. For 5 hours of rental, the cost is $45.
Explanation:
If the cost (y) to rent a kayak is proportional to the number (x) of hours the kayak is rented, and it costs $27 to rent the kayak for 3 hours, we can use this information to write a linear equation that represents the situation. The cost is $9 per hour since $27 ÷ 3 hours = $9 per hour. Our equation is thus y = 9x.
For the interpretation of the slope, since we've determined the cost is $9 per hour, the correct interpretation of the slope is that it costs $9 per hour to rent the kayak.
To find out how much it costs to rent the kayak for 5 hours, we simply plug in x = 5 into our equation y = 9x. So, it costs y = 9 × 5 = $45 to rent the kayak for 5 hours.
how long will it take for an investment to triple if it is compounded continuously at 12%
Answers
Answer:
9.694 years
Step-by-step explanation:
Let the investment is $P.
So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.
Let the time is y years.
So, from the formula of compound interest we can write
[tex]3P = P(1 + \frac{12}{100} )^{y}[/tex]
⇒ [tex](1 + \frac{12}{100} )^{y} = 3[/tex]
⇒ [tex](1.12)^{y} = 3[/tex]
Now, taking log both sides we get,
y log 1.12 = log 3 {Since, [tex]\log a^{b} = b \log a[/tex] }
⇒ 0.04922y = 0.477712
⇒ y = 9.694 years (Answer)
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The volume of gas in a container is 125,000
liters, and the pressure is 1.2 atmospheres. Suppose the temperature remains constant, and the pressure changes to 1.6 atmospheres.
What is the new volume of the gas in liters?
Answers
Answer:
93750 L
Step-by-step explanation:
P1V1 = P2V2
1.2 atm*125000L = 1.6 atm* V2
V2 = 93750 L
The new volume of the gas is 93750 liters.
Given,
The volume of gas in a container is 125,000 liters.
The pressure is 1.2 atmospheres.
Suppose the temperature remains constant.
The pressure changes to 1.6 atmospheres.
We have to find the new volume of the gas.
What is the ideal gas law equation?The equation is given by:
PV = nRT
Where P is the pressure of the gas.
V is its volume.
n is the number of moles of the gas.
T is its kelvin temperature.
R is the ideal (universal) gas constant.
Let the initial volume and pressure of the gas be [tex]V_{1}[/tex] and [tex]P_{1}[/tex].
The final volume and pressure of the gas be [tex]V_{2}[/tex] and [tex]P_{2}[/tex].
We have,
[tex]V_{1}[/tex] = 125000 litres.
[tex]P_{1}[/tex] = 1.2 atmospheres.
Since temperature remains constant.
[tex]P_{1} V_{1}[/tex] / nR = T and [tex]P_{2} V_{2}[/tex] / nR = T
We can write as:
[tex]P_{1} V_{1}[/tex] / nR = [tex]P_{2} V_{2}[/tex] / nR
[tex]P_{1} V_{1}[/tex] = [tex]P_{2} V_{2}[/tex]
Putting the values we get,
[tex]P_{1} V_{1}[/tex] = [tex]P_{2} V_{2}[/tex]
1.2 x 125000 = 1.6 x [tex]V_{2}[/tex]
[tex]V_{2}[/tex] = (1.2 x 125000) / 1.6
= 93750 litres.
Thus the new volume of the gas is 93750 liters.
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Leroux Health Insurance is considering changing the options in one of their health care plans (Plan A) based on customer feedback that prescriptions and regular visits to the doctor are too expensive for the insured individual. How can Leroux reduce the costs of regular health care without driving up the price of their health care plan?
a.
Reduce the monthly premium but increase the co-pay amounts to compensate for the lower premium.
b.
Reduce the annual deductible, but increase the co-pay amounts so that the monthly premium can stay the same.
c.
Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.
d.
Reduce the co-pay amounts but increase the monthly premium to compensate for the lower deductible.
Answers
The best way that Leroux can reduce the costs of regular health care without driving up the price of their health care plan is this: c. Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.
What is the best way to reduce costs?The best way that Leroux can reduce the costs of regular health care without increasing the price of the plan would be for then to reduce the co-pay amounts and then increase the annual deductible.
Annual deductibles are the amounts that the customers are expected to pay themselves while the premium is covered by the health company.
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In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mile taxi ride
Answers
47 miles taxi ride will cost $32.9
Step-by-step explanation:
Given,
Cost every 36 miles = $25.20
Cost of one mile = [tex]\frac{Cost\ for\ 36\ miles}{36}[/tex]
Cost of one mile = [tex]\frac{25.20}{36}\\[/tex]
Cost of one mile = $0.7
Cost of 47 miles = Cost of one mile * 47
[tex]Cost\ of\ 47\ miles = 0.7*47\\Cost\ of\ 47\ miles = \$32.9[/tex]
47 miles taxi ride will cost $32.9
Keywords: Division, multiplication
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What is the standard to slope intercept form 4x - 4y = -8
Answers
Answer:
y = x + 2
Step-by-step explanation:
4x - 4y = -8 can be rearranged to slope-intercept form by isolating y.
[tex]4x - 4y = -8\\-4y = -8 - 4x\\y =\frac{-8-4x}{-4} \\y = 2 + x\\y = x + 2[/tex]
John draws 15 cards from a deck of cards, if the card drawn is Queen, King, or Jack it worth 10 points
others worth 5 points. If he receives a total of 125 point. How many cards of each he draws from the
deck.
Answers
Answer:
10 face cards and 5 non-face cards
Step-by-step explanation:
If x is the number of face cards, and y is the number of non-face cards, then:
x + y = 15
10x + 5y = 125
Solve the system of equations. Using substitution:
10x + 5 (15 − x) = 125
10x + 75 − 5x = 125
5x = 50
x = 10
y = 15 − x
y = 5
He drew 10 face cards and 5 non-face cards.
Which expression is equivalent to
3(x + 6)?
F. x + 3 + 6
G. 3x + 6
H. x+6
J. 3x + 18
Answers
Answer:3x+18
Step-by-step explanation:
A painter can paint a wall with an area of 3280 square feet with 8 gallons of paint which rate best represents the relationship between the area of the wall and the amount of paint needed
Answers
Answer:
410:1
Step-by-step explanation: