[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
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Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
Plzzzzz help asappppppp
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?
Perimeter = 9.5
Perimeter = 10.6
Perimeter = 15.2
Perimeter = 17.4
Answer:
wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the
Step-by-step explanation:
The perimeter of the smaller triangle will be 17.4. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.
The shortest side of the other triangle has a length of 3 inches.
Then the perimeter of the smaller triangle will be
Let the other two sides of the smaller triangle be x and y. Then we have
3/10 = x/18 = y/30
From the first two terms, we have
3/10 = x/18
x = 5.4 inches
Then from the first and third terms, we have
y/30 = 3/10
y = 9
Then the perimeter of the triangle will be
P = 3 + 5.4 + 9
P = 17.4 inches
More about the triangle link is given below.
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Help me out plz. Struggling :( 5 and 4
Answer:
#5 = $676.40
#6 = $522.50
Step-by-step explanation:
Lets start with number 5.
Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week
Now for number 6
He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:
Solve for his pay on a normal week:
11 * 40 = 440 a week on a normal week
Find out how much overtime
45-40 = 5 hours
Calculate the pay for the overtime
(11*1.5) x 5 =
16.50 x 5 = 82.5
Add the two pays together
440 + 82.50 = $522.50
also #4 is not provided to me to solve so if you want it solved update this question to include it
Hope this helps :)
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Answer: 63%
Step-by-step explanation:
First step
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]
x = 37%
Second step - Survival rate
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?
Answer:
6.25 kilometers
Step-by-step explanation:
2.45km + 3.8km
= 6.25km
Answer: 6.25 Kilometers
Step-by-step explanation:
First, take 2.45 Kilometers from day one
Then take 3.8 Kilometers from day two
Now add them together for the result of
6.25 Kilometers
4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST
Answer:
102
Step-by-step explanation:
1.2*85=102
Answer:
Step-by-step explanation:
A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas
B. If you are using the 102 pizzas:
65/102= 63.73% of the 102 pizzas so a decrease.
If you are going by the 85 pizzas:
65/85= 74.47% decrease from original 65 pizza
What is the orders pair that is a solution to this equation, y=x+2
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)
The GCF of 26 39 and 65
Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?
The number of books that can be fit on a shelf is 1 meter long and will be 40.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Kaelyn is reading a book.
The book's thickness is 25 millimeters.
Then the number of the books that can be fit on a shelf is 1 meter long will be
Let x be the number of the books.
The thickness of the book in meters will be 0.025 m.
Then we have
0.025x = 1
x = 1 / 0.025
x = 40
More about the Algebra link is given below.
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find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
factor 2x^2-9x+9=0 and please show ur steps
Answer:
♡ hi there, madi here! ♡
hope your having a great day.
I did the math so here's your answer.
2x−3)(x−3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x-3=0. x-3=0
Set the first factor equal to 0 and solve.
x=3/2
Set the next factor equal to 0 and solve.
x=3
Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.
Which simulation design could she use to estimate the probability?
A. Number cube
Let 1,2,3,4 = rock
Let 5,6 = pop
Roll cube three times. Repeat.
B. Random Digits
Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop
Select three random digits. Repeat
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
D. Number cube
Let 1 = rock
Let 2 = pop
Roll cube three times. Repeat
Answer:
number cube
let even number= country
let odd number= not country
roll cube three times. repeat.
------------------------
Step-by-step explanation:
a p e x :))
The simulation design could she use to estimate the probability is;
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.
For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.
Looking at the options, the only one that corresponds to our simulation is option C.
Read more about probability simulation at; https://brainly.com/question/10333446
how much sugar is in a 1 l bottle of soda
Answer:
Step-by-step explanation:
It is about 52 grams of sugar in one bottle of soda.
Answer:
It contains a 108 grams of sugar
Graph f(x)=8+2x. Then find the value of f(x) when x=1/2
Answer:
9
Step-by-step explanation:
f(1/2)=8+2(1/2)
f(1/2)=8+1
f(1/2)=9
Answer:
f ( 1/2 ) = 9
Step-by-step explanation:
Step 1:
f ( x ) = 8 + 2x Function
Step 2:
x = 1/2 Given
Step 3:
f ( 1/2 ) = 8 + 2 ( 1/2 ) Input x value
Step 4:
f ( 1/2 ) = 8 + 1 Multiply
Answer:
f ( 1/2 ) = 9
Hope This Helps :)
Division expression
Find the volume of the prism
Answer:
do you have an image for that?
Step-by-step explanation:
PLEASE HELP!! GEOMETRY!!
=685.67Step-by-step explanation:
what is the remainder of 58,511 divided by 21, the quotient is 2,786 R
Answer:
the remainder is 5. 2,786 R 5
List the solvent and solute(s) in the scenarios below.
A solution of 32% ethanol and 68% water
Answer:
no
Step-by-step explanation:
help! open the attachment below!
Answer:
yes it is
Step-by-step explanation:X=side lenghths 2/3
Y=perimeter 12/18
2 time 6=12 and 3 times 6=18 and it is paraticly telling you
2/6 and 3/6 i beleve i need a lil more info
Please answer fast !!!!!!
Look at the picture
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
Write a equation
3. slope = 5, goes through the point (2,7)
Answer:
y=5x-3
Step-by-step explanation:
Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b
Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept
7=5(2)+b
Then you just solve for b
7=10+b
-10
-3=b
So the final equation is y=5x-3
The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
The standard equation of the line using the point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the following parameters
m = 5
(x0, y0) = (2, 7)
Substitute the given expressions into the formula as shown:
y - 7 = 5(x-2)
y - 7 = 5x - 10
y - 5x = -10 + 7
y - 5x = -3
Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
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If I have a black lab, then I have a dog. What is this statement called: if I do not have a dog then I do not have a black lab. HELP PLEASE
A) inverse
B) converse
C) conditional
D) contrapositive
Answer:
contrapositive
Step-by-step explanation:
which is a characteristic of any function created by the product of two linear factors?
A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts
Answer:
the answer is d
Step-by-step explanation:
The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.
According to the question;
We are required to determine which is a characteristic of any function created by the product of two linear factors.The product of two linear factors results in a quadratic function.
Since a quadratic function is a polynomial of degree two, 2.
In essence, the resulting function created by the product of two linear factors has two x-intercepts.
Read more;
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for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on