Answer:
Length= 15, width= 9Step-by-step explanation:
perimeter of a rectangle P= 2(L+W)
L= length
W= width
48=2(L+W)---------------(1)
twice the length= 2×L= 3L
decreased by three= 2L-3
three times the width= 3×W= 3W
twice the length decreased by three is equal to three times the width
2L-3= 3W-------------------(2)
solving equation one and two simultaneously
from equation (2)
3W= 2L-3
W=2L/3-3/3
W= 2L/3 - 1----------(3)
substitute equation (3) into equation (1)
48=2(L+2L/3-1)
48=2L+4L/3-2
48×3=6L+4L-6
144=10L-6
10L=144+6
10L=150
dividing bothsides by 10
L= 15
substitute L= 15 into equation (2)
2L-3=3W
2(15)-3=3W
30-3 = 3W
27= 3W
3W= 27
dividing bothsides sides 3
3W=27/3
W=9
therefore, Length= 15, width= 9Select the correct answer.
Which function is represented by this graph?
30 Points if you answer thanks
Answer:
Step-by-step explanation:
Answer:
ok this is pretty simble you just have to subtract the bottom exponents from the top so
3-2=1
2-2=0
a^1=a
a
Hope This Helps!!!
factor 6x(x + 12) – 15(x + 12)
Given: X= 0.234523452345..... Is X rational or irrational? a If X is rational, rewrite it in a fraction.
WILL GET BRAINLIEST!!!!!!
Answer:
[tex]\sf X=\dfrac{2345}{9999}[/tex]
Step-by-step explanation:
Given:
[tex]\sf X=0.234523452345...[/tex]
Therefore, X is a recurring decimal (the decimal numbers 2345 repeat forever).
Converting a recurring decimal to a fraction
Let X equal the recurring decimal:
[tex]\implies \sf X=0.234523452345...[/tex]
Create another number with recurring 2345s by multiplying the above expression by 10000:
[tex]\implies \sf 10000X=2345.23452345...[/tex]
To solve these two equations and write X as a fraction, take away X from 10000X to remove all the recurring decimal places:
[tex]\large\begin{array}{r r l}& \sf 10000X & = \sf 2345.23452345... \\- & \sf X & = \sf \quad \:\:\:0.23452345.... \\\cline{2-3} & \sf 9999X & = \sf 2345\end{array}[/tex]
[tex]\implies \sf 9999X=2345[/tex]
Divide both sides by 9999:
[tex]\implies \sf X=\dfrac{2345}{9999}[/tex]
Therefore, 0.23452345... as a fraction is [tex]\sf \dfrac{2345}{9999}[/tex]
− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece
Answer:
-1/2
Step-by-step explanation:
it has to be a negative number since
every other number is negative
its a fraction since the numbers are decreasing
96 divided by 48 is 2
so the number being multiplied or ration must be -1/2
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the obtcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 6. Event B: The sum is divisible by 4. Write your answers as fractions.
Answers:
P(A) = 7/12
P(B) = 1/4
====================================================
Explanation:
Instead of having one die, let's say we have two dice. I'll make one red and the other blue.
I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.
Using that table, we can see the following:
There are 6 copies of "7"There are 5 copies of "8"There are 4 copies of "9"There are 3 copies of "10"There are 2 copies of "11"There is 1 copy of "12"In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.
This is out of 36 ways to roll two dice.
Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12
-----------------------------------
If a number is divisible by 4, then it is a multiple of 4.
The multiples of 4 found in the table are: 4, 8, 12
We have
3 copies of "4"5 copies of "8"1 copy of "12"This gives 1+5+3 = 9 values that are a multiple of 4
P(B) = 9/36 = (1*9)/(4*9) = 1/4
A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.
Answer:
76.47
How I did it(using a specific range)
(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47
The midpoint of overline AB is M(4, -5). If the coordinates of A are (6, -4)what are the coordinates of B?
Img attached
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
Given the function f(x) = 3|x – 2| 6, for what values of x is f(x) = 18?
The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2
How to determine the value of x?The function is given as:
f(x) = 3|x - 2| + 6
The value of f(x) is
f(x) = 18
So, we have:
3|x - 2| + 6 = 18
Subtract 6 from both sides
3|x - 2| = 12
Divide both sides by 3
|x - 2| = 4
Remove the absolute bracket
x - 2 = 4 or x - 2 = -4
Add 2 to both sides
x = 6 or x = -2
Hence, the values of x are 6 and -2
Read more about absolute values at:
https://brainly.com/question/729268
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Paul went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard
deck of 52 cards.
paul has had good luck at blackjack in the past, and he actually got three blackjacks with kings in a
row the last time he played. because of this lucky run, paul thinks that kings are the luckiest card.
the dealer deals the first card to him. in a split second, he can see that it is a black card, but he is
unsure if it is a king.
what is the probability of the card being a king, given that it is a black card? answer choices are
in a percentage format, rounded to the nearest whole number.
Using it's concept, it is found that there is a 8% probability of the card being a king, given that it is a black card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In a standard deck, there are 26 black cards, of which 2 are kings, hence the probability is given by:
p = 2/26 = 0.0769 = 7.69%.
Rounded to the nearest whole number, 8% probability of the card being a king, given that it is a black card.
More can be learned about probabilities at https://brainly.com/question/14398287
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Evaluate the expression.
Answer:
-1331
Step-by-step explanation:
Just ask. :)
PLEASE HELP WILL GIVE BRAINLEST!
Answer: The graph with green line is the graph showing a 1 radian angle in a standard position.
Step-by-step explanation:
Hope it helps you:)))))))
Have a good day
Solve this problem! Thank you! (Math *)
Answer:
9
Step-by-step explanation:
Do the powers
Then the bracket
Then x or ÷
And then + or -
LOOK AT THE PICTURE BELOW PLEASE!
Answer:
50
Step-by-step explanation:
Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).
If the cans are divided evenly among the shelves, how many cans are on each shelf?
Cans for sale: 1,200
Shelves of cans: 10
Rows per shelf: 6
To distribute 1,200 cans evenly among 10 shelves, with each shelf having 6 rows, we find that there are 120 cans on each shelf.
To find the number of cans on each shelf, we need to divide the total number of cans (1,200) by the total number of shelves (10) and the number of rows per shelf (6).
First, calculate the total number of cans in each shelf by multiplying the number of rows per shelf by the number of cans in each row:
Cans per shelf = Rows per shelf * Cans in each row
Cans per shelf = 6 * 200 = 1,200
Now, divide the total number of cans (1,200) by the total number of shelves (10):
Cans on each shelf = Total number of cans / Total number of shelves
Cans on each shelf = 1,200 / 10 = 120
So, there are 120 cans on each shelf when the cans are divided evenly among the shelves.
To learn more about distribution click on,
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Find the length of the third side. If necessary, write in simplest radical form.
2741
8
Answer:
10
Step-by-step explanation:
Let the missing side be 'x'.
Using Pythagorean Theorem, we can find the missing side.
x² + 8² = (2√41)²x² + 64 = 4(41)x² + 64 = 164x² = 100x = 10Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?
The number of adults =16 and the number of kids =4
Will give Brainliest and a lot of points! :D
Which of the following expressions factors completely to 3(x + 5)²?
A. 3x² + 25
B. x² + 10x + 25
C. 3² + 75
D. 3x² + 30x + 75
Answer:
solution
here;
answer D
Step-by-step explanation:
3(x2+10x+25) 3(x^2 +2×5×x +25)3(x+5)^2PLEASE HELP!!! This is due today and i dont understand
Which of the following expressions represents three times the sum of p and 8?
A.
3p + 8
B.
3(p + 8)
C.
3(p - 8)
D.
8(p + 3)
Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?
(please put you solution)
Answer:
4 19/36
Step-by-step explanation:
we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.
=> 10 2/9 + 5 1/4
As a c/d is a + c/d,
10 2/9 + 5 1/4 can also be written as 10+5+2/9+1/4
now we have to simplify it
=> 10+5 = 15
=> 2/9 = (2*4)/9*4) = 8/36, 1/4 = (1*9)/(4*9) = 9/36
now we have the same denominators
add,
8/36 + 9/36 = (8+9)/36 = 17/36
=> now we know that 10 2/9 + 5 1/4 is 15 17/36 ( which is 15 + 17/36)
=> next step is to convert 15 17/36 into an improper fraction
15 17/36 = [(15*36)+17]/36 = [540+17]/36 = 557/36
=> now we just have to subtract 557/26 from 20
20 - 557/36 = [(20*36)-557]/36 = [720-557]/36 = 163/36
=> we can convert 163/36 into a mixed fraction if we want to
163/36 converted into mixed fraction is 4 19/36
hope this helps :)
Cristiano ronaldo has a pass success percentage of 86% in the uefa champions league. this measure
summarizes the percentage of passess ronaldo successfully made to his teammates instead of being
intercepted by the opponent. ronaldo's coach has a strategy that in an indirect free kick, ronaldo makes
2 passess before shooting for the goal.
assuming ronaldo's passess are independent, what is the probability ronaldo successfully makes both
passes in the first indirect free kick opportunity during the next game?
Answer:
74%.
Step-by-step explanation:
As the passes are independent we multiply the individual probabilities:
The Required probability
= 0.86 * 0.86
= 0.7396
- close to 74%.
please help! the questions are in the photo.
find the value of a in this fig.
Step-by-step explanation:
[tex]1.a + 27 = 90 \: \: (complementary \: angles = 90) \\ a = 90 - 27 \\ a = 63degrees \\ 2. \: x + 101 + 109 + 90= 360 \: (revolution \: angles = 360) \\ x = 360 - (101) - (109) - (90) \\ x = 60degrees \\ 3. \: a + 85 = 180 \: (angles \: on \: str \: line = 180) \\ a = 180 - 85 \\ a = 95degrees \\ b = 85 \: (vertically \: opp \: angle) \\ c = 95 \: (vertically \: opp \: angle)[/tex]
A bag contains 3 red marbles, 4 blue marbles, and 2 yellow marbles. What is the probability of pulling out a blue marble?
Probability of pulling out the Blue Marbels = 4/9
Step-by-step explanation:
Red Marbels = 3
Blue Marbels = 4
Yellow Marbels = 2
Total Marbels = 9
P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9
0
1
2
3
7
8
9
10
4 5
+
6
+
+
Which of the following could be the number shown on the number line?
O A. √24
B. 27
C. 20
O D. 26
Answer:
A
Step-by-step explanation:
because the point number are segment
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
$73.5
Step-by-step explanation:
*1.05 interest every year
so all you have to do is 70*1.05=73.5
Answer: $73.5
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION ASAP!!!
How are monomials multiplied by binomials and trinomials?
The product of two integers is -160 if one of them is 8 find the other
Hey ! there
Answer:
Other number is -20Step-by-step explanation:
In this question we are given that the product of two integers is -160 and one of them is 8 . And we are asked to find the other integer .
For finding the other integer we are assuming ,
Other integer as ' x 'And now we can find other Integer by making equation and solving it .
SOLUTION : -
Equation is :
[tex] \quad \dashrightarrow \qquad \: 8 \times x = - 160[/tex]
or ,
[tex] \quad \dashrightarrow \qquad \: 8x = - 160[/tex]
To isolate the variable x , We are dividing both sides by 8 :
[tex] \quad \dashrightarrow \qquad \: \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{ \dfrac{ - 160}{8} }[/tex]
On simplifying it , We get :
[tex] \quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar[/tex]
Henceforth , the other integer is ❝ -20 ❞.Verifying : -
Now we are verifying whether our answer is wrong or right by substituting value of x in the equation . So ,
[tex]8 \times x = - 160[/tex]Substituting value of x :
[tex]8 \times - 20 = - 160[/tex]Multiplying 8 with - 20 :
[tex] - 160 = - 160[/tex][tex] \rm{L.H.S = R.H.S}[/tex][tex] \rm{Hence , Verified .}[/tex]Therefore , of answer is correct .
#Keep LearningAnswer:
The other integer is -20[tex] \: [/tex]
Step-by-step explanation:
[tex] \: [/tex]
Given,
The product of two integers is -160.One of the integers is 8[tex] \: [/tex]
To Find,
The other integer.[tex] \: [/tex]
Solution,
Let us assume the other integer as x[tex] \: [/tex]
So, The equation will be :
[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{x \times 8= - 160}}}}} \\ \: \: [/tex]
[tex] \longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \: [/tex]
Now, Let us divide both sides by 8 :
[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{ \frac{8x}{8} = \frac{ - 160}{8} }}}}} \\ \: \: [/tex]
[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\ [/tex]
Therefore,
The other integer is -20Which is the correct solution to ‐3x<21?
Answer:
Top right
Step-by-step explanation:
When mult/dividing by a negative number, the sign always flips.