Answer:
6/11
Step-by-step explanation:
The ratio says that, for every 6 girls, there are 5 boys.
For every 6 girls, there are 6 + 5 = 11 students.
So the fraction of girls is
6/11
calculate Z
z = 81
z = 30
z = 15
z = 20
choose the only correct answer
Help me with this math question plss
Answer:
C. 8/17
Step-by-step explanation:
PM = 16+14 = 30 cm
KP= LN = 16×tan45° = 16×1 = 16cm
by using pythagorean theorem, we find :
KM² = PM²+KP²
= 30²+16²
= 900+256
= 1156
=> KM =√1156 = 34cm
so, cos theta = KP/KM = 16/34 = 8/17
What is the solution to the equation 1/4x - 1/8 = 7/8 + 1/2x ?
A. x = -5
B. x = -4
C. x = 4
D. x = 5
Hey there! I'm happy to help!
We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.
1/4x - 1/8 = 7/8 + 1/2x
We add 1/8 to both sides.
1/4x=1+1/2x
We subtract 1/2x from both sides.
-1/4x=1
We divide both sides by -1/4 (same thing as multiplying -4).
B. x=-4
Have a wonderful day and keep on learning! :D
A cookie company expanded its standard package of 36 cookies to include 4 extra cookies of a brand new flavor. If all of the cookies from an expanded package were put in a container and one were selected at random, what is the probability that it will be a cookie of the new flavor?
Answer:
1/9 probability
Step-by-step explanation:
The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9
Can you answer this, please?
Answer: C) 3
Explanation:
The degree of a single variable polynomial is the largest exponent, which in this case is 3.
order of operations. please help!
when is it hard to show if a set is closed or not closed?
solve by completing the square pls show work i will mark brainliest
Answer:
[tex]3(x-1)^2 +6[/tex]
Step-by-step explanation:
Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].
Factor out 3.
[tex]3(x^2 -2x+3)[/tex]
Add and subtract [tex]\left(-1\right)^2\:[/tex].
[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]
You dont have to write this section down but its for notes:
[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]
[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]
Continue writing this down to show work:
Complete the square
[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]
Simplify
[tex]3\left(x-1\right)^2+6[/tex]
A gas has a density of 0.824 g/L and occupies a volume of 3.00 liters. What is the mass in grams?
Density is mass per unit volume,
ρ = m/v
Solving for mass gives
m = ρv
so that a gas with density 0.824 g/L that occupies 3.00 L has a mass of
m = (0.824 g/L) (3.00 L) = 2.47 g
The product of 4 and a number x
Answer:
you can`t multiply an integer with a variable unless the variable represents something
ex: if x = 10 then the product of 4 and x is 40
Answer:
4x
Step-by-step explanation:
'Product' refers to multiplication.
Problem 11
Six friends who enjoy tennis decide to play a game of singles and a game
of doubles every day of the 7-week school holidays.
(a) Show that at least four of the games of singles will be between friends
playing each other for the fourth time.
(b) Show that at least four of the games of doubles will be between pairs
playing the same opposing pair for the second time.
Number combination can be used to find the number of selecting n items from m items
The known parameters are;
Number of days the six friends play a game of tennis = Every day = 7 days
Number of weeks the six friends the friends play for = 7 weeks
Therefore the total number of days = 7 × 7 days = 49 days
Required:
(a) The number of ways the friends can play with each other once is given as follows;
[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]
The number of ways the six friends can play with each other once is 15 ways
Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;
[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]
Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time
(b) The number of ways the friends can play game of doubles is given as follows;
[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
The number of pairs = ₆C₂ = 15
The number of games of doubles = 49
In 49 games, we have;
The number of times the same opposing will play a game of doubles where a member of the pair can be on either side of the court will given as follows;
[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]
Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time
Learn more about combination here:
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18/73 and 4/16. Proportional or Not Proportional
Answer:
not proportional
Step-by-step explanation:
We can check using cross products
18/73 = 4/16
18*16 = 73*4
288=292
Since this is not equal, this is not proportional
5. Classify the number 15.
O Whole, integer, rational, real
Integer, rational, real
O Natural, whole, integer, rational, real
O rational, real
Answer:
O Natural, whole, integer, rational, real
Step-by-step explanation:
it can be expressed as a fraction of 45/3, which means that it is rational.
it is a whole number because it does not contain a fraction or decimal.
it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc
it is a natural number because it is a positive integer.
and it is an integer because it does not contain a decimal.
Answer: Natural, whole, integer, rational, real
A 180-inch pipe is cut into two pieces.one piece is three times the length of the other.find the length of the shorter piece.
The length of the shorter piece is 45 inches.
How to determine the length of the shorter piece.Let's represent the length of the shorter piece as "x" inches.
According to the information given, the length of the longer piece would be three times the length of the shorter piece, which means it's 3x inches.
Since the total length of the pipe is 180 inches, we can set up an equation:
x (shorter piece) + 3x (longer piece) = 180
Now solve for x:
4x = 180
x = 45
Therefore, the length of the shorter piece is 45 inches.
Learn more about length at https://brainly.com/question/26589728
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(Please help) Solve.
-4+4(-8+2n) = -37+8n
Answer:
No solutions for n
Step-by-step explanation:
Distribute the 4 to the -8 and the 2n
-4 + 4*-8 + 4*2n = -37 + 8n
Multiply
-4 - 32 + 8n = -37 + 8n
Subtract 8n on both sides
-4 - 32 = -37
Subtract on the left
-36 = -37
No solutions because -36 does not equal -37
Answer:
No solution
Step-by-step explanation:
-4 + 4(-8 + 2n) = -37 + 8n
-4 - 32 + 8n = -37 + 8n
-36 + 8n = -37 + 8n
8n - 8n = -37 + 36
0 = -1
Since 0 does not equal 1, this is a “No Solution”
Help please.
Simplify: 5i/ 3 + 2i
Answer:
10+15i/13
Step-by-step explanation:
This question is about complex numbers.
so,
in this type of questions we have to multiply this fraction by the conjugate of the denominator
conjugate of the denominator is 3-2i
1) 5i(3-2i)/(3+2i)(3-2i)
2) 15i-10i^2/9-4i^2 ( we know that i^2 = -1 )
3) 15i+10/9+4
4) 15i+10 / 13
Subtract.
−135−(−258)
Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]
Answer:
123/1
Step-by-step explanation:
-135- (-258)
123
123/1
brainliest is appreciated
Let x represent the side length of a square. Find a regular polygon with side length x whose perimeter is twice the perimeter of the square. Find a regular polygon with side length x whose perimeter is three times the length of the square
Answer:
Step-by-step explanation:t55
An octagon has 8 sides. If each of them has a length of x, then the perimeter is 8x which is twice the perimeter of the square. (The square has a perimeter of 4x)
A dodecagon is a 12 sided regular polygon. It will have 12 sides all of which are equal to x. Since the square has a perimeter of 4x and the dodecagon has a perimeter of 12x the perimeter of the dodecagon is 3 times that of the given square.
Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
What numbers are 3 units from -2 on a number line?
A number line ranging from negative 10 to positive 10
Select from the drop-down menus to correctly complete the statements.
______is 3 units left from -2 on a number line.
______- is 3 units right from -2 on a number line.
The answers are
-1
-5
1
5
please hurry
Answer:
___-5___is 3 units left from -2 on a number line.
___1___- is 3 units right from -2 on a number line
identity the value for a, b, and c.
2x^2=-7x-9
Identify the rule for the following pattern:
4, 24, 144
Answer:
It is being multiplied by 6 each time.
Step-by-step explanation:4x6, 24x6
Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )
= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )
= [tex]\frac{1}{3}[/tex]
Someone help pleasee
Answer:
a horizontal translation 3 units to the right because-3 has been added to the exponent
please help me is for my homework
Answer:
35/100 if I remembered correctly, XD
Answer:
[tex]\frac{35}{100}[/tex]
Step-by-step explanation:
if you want to convert decimal to fraction you first have to observe the decimal point
here the decimal point is after 2 numbers so
u will take 100 to be divided with
[tex]\frac{35}{100}[/tex]
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
Round
63.999
to two decimal places?
Answer:
64.00
Step-by-step explanation:
64.00 is the correct answer.
63.999 rounded to 2 decimal places is 64.00
What is the 5 rounding rule?In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.
For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.
Learn more about rounding off here https://brainly.com/question/10679598
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If 2x minus 4 equals negative 18 what is x with shown work
Answer:
-7
Step-by-step explanation:
Equation: 2x - 4 = -18
First, add 4 to both sides:
2x = -14
Finally, divide both sides by 2:
x = -7
Check (optional):
2(-7) - 4 = -18
-14 - 4 = -18
-18 = -18 so this is correct
If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)
Find type of angle and solve for x.Please help.
Step-by-step explanation:
72° and a° is the angle of a straight line so
a+72°=180
a=180-72
a=108°
By using alternate exterior angle definition:
7x+24=180
7x=108-24
7x=84
x=84/7
x=12
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
