Answer:
9,687,600
Step-by-step explanation:
27P5
= 27!/(27-5)!
= 27!/22!
= 27*26*25*24*23
= 9,687,600
A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.
Answer:
Step-by-step explanation:
This will open to the left and the vertex will be at (0, -4).
Equation us (y + 4)^2 = -4*-11x
44x = (y + 4)^2
9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.
Check the picture below.
[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]
[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]
Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?
Hi there!!
The ratio of red jelly beans to yellow is 7:3.
There are 40 jelly beans.
7+3 is 10.
40/10 is 4.
7*4 is 28.
Therefore, 28 jelly beans are red.
What is the weight of a dry substance in 150 g of a 3% substance solution?
4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.
Round 909.09 to the nearest hundredth
Answer:
909.1
The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
For more about the number system,
https://brainly.com/question/22046046
#SPJ2
What is the value of x in the solution to this system of equations?
y = x + 1
y = 5x + 13
Step-by-step explanation:
y=x+1
y=5x+13
=13x/1
=5x/x
Please any math experts helps thank you
Answer:
[tex]\frac{t^2-16}{t^2-8t+16}[/tex]
We can factorise the numerator which the difference of squares formula:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
---------------------------------
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]
Next, factorise the denominator:
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]
[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]
Cancel out the common factor of (t-4):
[tex]\frac{t+4}{t-4}[/tex]
-
3-(2n + 5)
3 + (2n + 5)-1
Answer:
I think it's 3n+7
-------
3n+8
Step-by-step explanation:
3. 13.2 -0.006
How would you show the work
Answer:
13.194
Step-by-step explanation:
13.2
- 0.006
-----------------
Just add zeros on the part where there are no numbers
13.200
- 0.006
------------------
13.194
on a photograph an ant is enlarged at scale 25:1 In the photo the ant leg is 15 cm what is the actual length of the ants leg
Answer:
0.6 cm
Step-by-step explanation:
15/25=0.6
Answer:
0.6 Is the answer
Step-by-step explanation:
Hope this helped ¬∪ω∪¬
Evaluate x? - x + 8 for x = -2.
=
Answer:
tan
(
x
)
,
x
=
−
π
3
x
+
2
y
+
z
x
+
y
+
z
,
x
=
2
,
y
=
3
,
z
=
1
csc
(
x
)
,
x
=
π
Answer:
6
Step-by-step explanation:
X+8 first substitute x
-2+8 solve
=6
Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?
Answer:
112
Step-by-step explanation:
32*2+29*2=112
Determine the greatest common factor of the numbers 24 and 56
Answer:
8
Step-by-step explanation:
yw :)
Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2
Answer:
[tex]p>-2[/tex]
Step-by-step explanation:
[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]
Answer:p < -2
Step-by-step explanation:
29 years ago, James put some money into a savings account with 8% interest compounded quarterly (4 times a year). He just remembered it and saw that there was now $7328 in it. Find the original amount he invested.
Answer:
$0.97
Step-by-step explanation:
7328*100/108^(4*29)
a bunch of math later, with rounding...
0.97
*note-may be wrong
2) Subtract and simplify. 11 7\10 − 7 3\10 =
Answer:
4 2/5
Step-by-step explanation:
11 7/10
- 7 3/10
----------------
4 4/10
4 4/10 = 4 2/5
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y=mx+b
Answer:
y=7x+2
Step-by-step explanation:
Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.
Hope it helped!
The equation of the line is y = 7x + 2.
What is the equation of a line?The equation of a line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
m = 7 and c = 2
The equation of a line is,
y = mx + c
y = 7x + 2
Therefore, the equation of the line is y = 7x + 2.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ2
there are 5 major train tracks from city x to city y and 3 major train tracks from city y to city z. how many trips can be made from city x to city z, passing through city y?
Answer:
3 trips
Step-by-step explanation:
I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips
shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change
Answer:
8% decrease
Step-by-step explanation:
50 x 2 = 100
46 x 2 = 92
100 - 92 = 8
A plumber charges a base fee of $60, and then each hour of work costs $15. Yesterday Joe hired the plumber to fix his sink, at a total cost of $240. How many hours did the plumber work?
What is the scale factor of the dilation?
Step-by-step explanation:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)
can you please help me
Answer:
84000
Step-by-step explanation:
just searched it up plus you have to multiply it
Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.
Answer:
4a^4-4b^4-5a^2b^2
Step-by-step explanation:
find common variables and subtract/add
a^4+3a^4=4a^4
-2b^4-2b^4=-4b^4
0-5a^2b^2=-5a^2b^2
apply
4a^4-4b^4-5a^2b^2
how do you solve 15 divided by 2/9
Answer:
67.5 or 67 1/2
Step-by-step explanation:
15 ÷ 2
___________
9
The numbers in 15 divided by 2/9 are labeled below:
15 = whole number
2 = numerator
9 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
15 x 9 2 = 135
____
2
Thus, the answer to 15 divided by 2/9 in fraction form is:
135
_____
2
To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
135 / 2 = 67.5
The answer is rounded to the nearest two decimal points if necessary.
135/2 is an improper fraction and should be written as 67.5 or 67 1/2.
Hope this helps, have a nice day/night! :D
Answer:
67.5
Step-by-step explanation:
15 = 135/9
135/9 x 9/2 = 15 x 4.5 = 67.5
9/2 = 4.5
Brainliest?
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.
6x + y = 2
1 x - 4y = 2
The estimated solution is (__,__)
Answer:
using substitution method you'll be able to get the value of x then after finding x
Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?
Answer:
18 miles
Step-by-step explanation:
9 miles : 45 minutes
? miles : 90 minutes
45 x 2 = 90 minutes
9 x 2 = 18 miles
Help help help pls!
How do i do this, pls i need help asap-
Answer:
Step-by-step explanation:
Hola
What is the slope of the line y = -4?
150-5r is greater than or equal to 87.5
Find the value of r?
Answer:
R=12.5
Step-by-step explanation: