The area of the rectangle is [tex]\frac{125}{9}m^{2}[/tex]
Given that the length of a rectangle is 5m more than twice its width and the perimeter of the rectangle is 20m
length of rectangle(l)=5m+2(width of rectangle)(w)
l=5+2w
The perimeter of rectangle=2(length of rectangle+width of rectangle)
Perimeter of rectangle=2(5+2w+w)
The perimeter of the rectangle=2(5+3w)
20=2(5+3w)
10=5+3w
5=3w
w=[tex]\frac{5}{3}[/tex]
l=5+2w
⇒l=5+[tex]\frac{10}{3}[/tex]
⇒l=[tex]\frac{25}{3}[/tex]
Area of rectangle =(length of rectangle)×(width of rectangle)
Area of rectangle =[tex]\frac{25}{3}[/tex]×[tex]\frac{5}{3}[/tex]
Area of rectangle = [tex]\frac{125}{9}m^{2}[/tex]
Therefore, The area of the rectangle is [tex]\frac{125}{9}m^{2}[/tex]
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Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards how many pages are needed to hold all of his cards
54 pages are needed to hold all of his cards , if Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards
Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.
Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards
Now, to get how much pages will hold 648 cards, we divide 648 by 12
648/12= 54 pages
Hence, if Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54 pages are needed to hold all of his cards
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A cell phone service provider offers a plan that charges
$30.35 per month and $0.05 per minute for phone calls. If a
person received a bill of $45.35 last month, how many
minutes of phone calls were they charged for?
Answer:
They were charged 300 minutes of phone calls.
Step-by-step explanation:
$30.35 was the monthly charge for this service provider. Subtract that from the $45.35 which would leave $15. $15 divided by $.05 = 300. 300 minutes is your answer.
Rewrite as a monomial in its standard form:
-(-0.5ac^2)^2 * (-2a^2c)^3
A = 1/2h(c + d) for C.
Solve for c.
Answer:
am i right or wrong not sure.
Step-by-step explanation:
a=1/2hc+1/2hd
Caroline made w batches of 12 cookies how many cookies did she make?
(12 cookies in each batch)
Answer:
144 i multiplied 12x12=144
Step-by-step explanation:
Y+3=7(x-2) write it in standard form
Answer:
The standard form of a linear equation is Ax + By = C
.
Step-by-step explanation:
I’m using the rest of my points please help! I’m so lost and my math teach never explained it and would only talk about politics
8EWHFSCKJYFCHBDCFAESSREDSEREDSEEEEEEEEJDUJEURYRHDNCX NX NNDND
Answer:
The translation 3 units down and 5 units to the left
Step-by-step explanation:
Graph of |x| is the one starting in the origin and the other one is the other picture
ASAP PLZ HELP WILL MARK BRAINLIST IF U WANT TO FIRST PERSON WHO ANSWERS RIGHT
Answer:
15.0
Step-by-step explanation:
Square root entire equation (-8 - 7)^2 + (-5 + 4)^2
The sum of two angles is 138.6° one angle has a measure of 54° what is M The measure in degrees of the second angle
Answer:
84.6 degrees
Step-by-step explanation:
138.6 - 54 = 84.6
Round 0.93405 to
the thousandths place.
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth. *
o 11
o 7.8
o 61
o 14.9
Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation? (x , y) → (6x, −4y) (x , y) → ( -6 x, 4y) (x , y) → (x − 6, y + 4) (x , y) → (x + 6, y − 4) Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation? (x , y) → (6x, −4y) (x , y) → ( -6 x, 4y) (x , y) → (x − 6, y + 4) (x , y) → (x + 6, y − 4)
Answer:
Step-by-step explanation:
(X,y) (x-6, y+4)
The transformation rule for the new ΔR'S'T' is (x, y) → (x - 6, y + 4). The correct option is (c).
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
The given problem can be solved by using the rule of transformation as follows,
For the translation of 6 units left and 4 units up, it can be written as,
Suppose the coordinate of a vertex of ΔRST be given as (x, y).
Then, as per the rule the new coordinate of ΔR'S'T' is (x - 6, y + 4).
Hence, rule that best describes the transformation given in the problem is (x, y) → (x - 6, y + 4).
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Math question help pls
Answer:
The fourth answer: A person's weight, w, on the moon is 1/6 her weight on Earth, e.
Step-by-step explanation:
The equation must be translated carefully into word form.
Her weight on Earth is represented by e.
"e x 1/6" into "1/6 her weight on Earth, e"
Her weight on the moon is represented by w.
"= w" into "A person's weight, w, on the moon is"
Another way to translate: 1/6 of a person's weight on Earth, e, is equal to her weight on the moon, w.
I hope this helped :)
Can someone please help with this I don’t know the answer and I really want to pass
Answer:
I think your answer would be C. between k and L
Answer:
I don't know for sure but i think it is:
C Between K and L
Step-by-step explanation:
List all of the transformations needed to transform the parent absolute value function into the function f(x) = 7|x - 9| - 11.
Three kinds of rigid transformations needed are horizontal translation, dilation and vertical translation to obtain f(x) = 7 · |x - 9| - 11.
What kind of rigid transformations are need to create a resulting absolute value function?
In this problem we must find what kind of rigid transformations are done on the parent absolute value function to obtain the function g(x) = 7 · |x - 9| - 11. Rigid transformations are transformations applied on functions such that their Euclidean distances are conserved. There are several forms of rigid transformations:
TranslationRotationDilationReflectionAfter a quick inspection, we find that the final function is the result of horizontal translation, dilation and vertical translation:
Horizontal translation
f'(x) = |x - 9|
Dilation
f''(x) = 7 · |x - 9|
Vertical translation
f(x) = 7 · |x - 9| - 11
Three kinds of rigid transformations needed are horizontal translation, dilation and vertical translation to obtain f(x) = 7 · |x - 9| - 11.
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The following are the ages (years) of 5 people in a room: 23 , 19 , 12 , 21 , 13 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?
The age of the person who entered the room is 26.
How to calculate the age?From the information, the ages of the people are
23 , 19 , 12 , 21 , 13. Therefore the addition of the ages will give 88.
When another person entered, the person enters the room, the mean age of the 6 people is now 19. Therefore, the total ages will be:
= 19 × 6
= 114
Therefore, the age of the last person will be:
= 114 - 88
= 26
Therefore, the age of the person who entered the room is 26.
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Can anyone help me on this ASAP?
Answer:
66.6(repeating)
Step-by-step explanation:
The ratio of the sides are 3:8.
The other pentagon's ratio is 25:x
To find the ratio, you need to divide 25 by 3 and then multiply that number to 8, which gets you 66.6 repeating
Jose is working two summer jobs making $10 per hour washing cars and nine dollars per hour walking dogs last week because I worked a total of 30 hours and earned a total of $122 write a system of equations that could be used to determine the out of the number of hours Jose worked washing cars this week and the number of hours he worked walking dogs this week.
Answer:
[tex]x+y=13\\10x+9y=122[/tex]
Jose worked on washing cars for 5 hours and on walking dogs for 8 hours.
Step-by-step explanation:
Given that:
Jose works for two summer jobs.
Earnings per hour by the first job i.e. by washing cars = $10
Earnings per hour by the second job i.e. by walking dogs = $9
Total number of hours worked = 13 hours (30 hours does not give us proper answer, it must be 13)
Total money earned = $122
To find:
System of equations to find the number of hours that Jose worked on each job?
Solution:
Let number of hours worked on washing cars = [tex]x[/tex] hours
Let number of hours worked on walking dogs = [tex]y[/tex] hours
As per the question statement, we can write the following system of equations:
[tex]x+y=13 ..... (1)\\10x+9y=122 ...... (2)[/tex]
Let us use the Elimination method to find the values of [tex]x[/tex] and [tex]y[/tex].
Multiplying the equation (1) by 10 and then subtracting the equation (2) from it:
[tex]y = 130 - 122 = 8\ hours[/tex]
Using the equation (1):
[tex]x = 5[/tex] hours
Therefore, Jose worked on washing cars for 8 hours and on walking dogs for 5 hours.
exact decimals of 7 5/6
Answer:
7.83 repeating
Step-by-step explanation:
Cal’s
On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 51 inches and Snowman B was built to a height of 36
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 6 inches per hour and
Snowman B's height decreased by 3 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Determine the number of hours after sunrise both snowman will have equal height and determine how tall each snowman is when they are the same
height.
Using linear functions, it is found that both snowman's will have the same height of 21 inches after 5 hours.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The initial height is the intercept.The melting rate, as a negative, is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.They will have the same height when:
A(t) = B(t)
51 - 6t = 36 - 3t
3t = 15
t = 5.
The height will be of:
B(3) = A(3) = 51 - 6(5) = 21 inches.
Both snowman's will have the same height of 21 inches after 5 hours.
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Simplify
I really need help on this. I'll mark brainliest but I don't know how to do that till it tells me to.
Answer:
Hope this helps.
Step-by-step explanation:
Teams are given ten minutes and 30 seconds to demonstrate all motions provided to them during the presentation section of the contest. How many points are deducted for every second over this time?.
Answer: TWO
Step-by-step explanation: I promise I did this before
Write an equation that represents the line that passes through the points (– 2, – 3) and (−1, 2).
help please
will give brainliest don't guess:)
Answer: I think it’s y = mx+b?
Step-by-step explanation: well if you really need it-
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
graph the function: g(x)=3x^2+1
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
It was vertically compressed by a factor of 3, due to the multiplication by 3.It was shifted up 1 unit, due to the addition of 1.In the graph at the end of the answer, both functions are shown, with f(x) in red and g(x) in blue.
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Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
Answer:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Step-by-step explanation:
So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.
Answer:
602.88 in^3
Step-by-step explanation:
3.14 * 4^2 * 12
3.14 * 16 * 12
50.24 * 12
(50 * 12) + (0.24 * 12)
600 + 2.88
602.88 in^3
amanda solve the folling problem below. did she solve it correctly? If not, what was her error? how can you check to be sure?
Plz hurry
I make brainlist
Dawn would like to join straws that measure 4.5 inches, 6 inches and 7.5 inches together to form a triangle. Will it be a right triangle? Explain.
Answer:
Yes,it is a right triangle
Step-by-step explanation: use pythagorean theorem: 4.5^2+6^2=7.5^2
The measure 4.5 inches, 6 inches and 7.5 inches together form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
To determine whether the triangle formed by joining the straws will be a right triangle
we need to check if it satisfies the Pythagorean theorem
Let us assume that the 7.5-inch straw is the hypotenuse of the triangle. We need to check whether the sum of the squares of the other two sides (4.5 inches and 6 inches) is equal to the square of the hypotenuse (7.5 inches).
Using the Pythagorean theorem, we have:
7.5² = 4.5² + 6²
56.25 = 20.25 + 36
56.25 = 56.25
The sum of the squares of the two shorter sides is equal to the square of the longest side.
The triangle formed by joining the 4.5-inch, 6-inch, and 7.5-inch straws satisfies the Pythagorean theorem and is therefore a right triangle.
Hence, the measure 4.5 inches, 6 inches and 7.5 inches together form a triangle.
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Which expression is equivalent to 2(9 + 7)? (1 point)
18 + 14
18 + 7
11 + 9
11 + 7
Carly works 6 hours each day for 4 days a week.
She earns £360 each week.
How much does Carly earn per hour?
Answer:
£15
Step-by-step explanation:
We know that Carly works 6 hours each day for 4 days. This means she works a total of 24 hours per week.
In addition, we know that she makes £360 per week.
Therefore, let [tex]x[/tex] be the amount in £ that she makes per hour:
[tex]24x = 360 \text{ // Divide by 24}\\x = 15[/tex]
Carly earns £15 per hour.
11(x+10)=132[tex]\sqrt{x}[/tex]
Divide both sides by the numeric factor on the left side, then solve.
x = 2