Answer:
4 084 080 ways
Step-by-step explanation:
The number of ways is :
[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}[/tex]
___________
Since
18C3=816
15C6=5 005
9C9=1
then
[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}=816\times5005\times1= 4\ 084\ 080[/tex]
It’s kinda confusing?
Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?
Answer:
3(2/9) ounces of sprinkles each sundae (3.222222.....)
Step-by-step explanation:
12 divided into 4 = 3 ounces
(8/9)/4 is the same as (8/9) x(1/4) = 8/36 = 2/9
3 ounces and 2/9 ounces
Each sundae will have 3 2/9 ounces of sprinkles on it.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.
To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.
When we divide 12 4/9 by 4, we get 3 2/9.
So each sundae will have 3 2/9 ounces of sprinkles on it.
Learn more about the fraction here:
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A triangle has and area of 42 cm2. The height of the triangle is 14cm What is the base and length
Answer:
Step-by-step explanation:
AREA: 42 cm^2
h = 14 cm
area of a triangle formula:
[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]
(14)(base) = 42 * 2
(14)(base) /14 = 84 /14
base = 6 cm
What is the length of side a? Round to the nearest tenth
Answer:
○ [tex]\displaystyle 12,9[/tex]
Step-by-step explanation:
Use the Law of Sines to find the length of the second edge:
Solving for Angles
[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]
Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]
Let us get to wourk:
[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]
I am joyous to assist you at any time.
Scale factor word problem
Someone please help me!
1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.
How many centimeters will there be between his house and school on the map?
1 cm = 5km
8.5 ÷ 5 = 1.7
There will be 1.7 centimeters between his house and school.
Help me answer this question about congruent triangles. 50 points available.
Answer:
B
Step-by-step explanation:
No these triangles are not congruent.
Left triangle
Shortest side = 6 cm
Longest side = 13 cm
3rd side = unknown but < 13
Right triangle
Shortest side = 6 cm
Longest side = unknown but > 13
3rd side = 13 cm
Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.
We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.
Use the volume formula to find the volume of the prism
Answer:
B. 9 cubic inches
Step-by-step explanation:
Hey there!
To find the volume of a rectangular prism, you must use the formula:
L * W * H
L is the lengthW is the widthH is the heightTo find the volume we must multiply: 1.5, 4, and 1.5
Let's start!
1.5 * 4 * 1.56 * 1.59The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)
Volume = base area × height
Volume = ( 4 × 1 ½ ) × 1 ½
[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]
[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]
[tex]v = \frac{36}{4} \\ [/tex]
[tex]v = 9[/tex]
Thus C is the correct option.
Have a great day ♡
Solve: 3x - 3= x +5
please can someone solve this I will give brainiest
3x - 3= x + 5
=> 3x - x = 5 + 3
=> 2x = 8
=> x = 8/2
=> x = 4
Answer:
4
Step-by-step explanation:
3x - 3 = x+5
=> 3x = x+5+3 ( transposing method)
=> 3x-x = 5+3
=> 2x = 8
=> x = 8/2
=> x = 4
Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.
Please help me with this equation, add process too. Thanks
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: - 0.6(m + 1) = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 3 \div 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m - 1= 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 5 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: m = - 6[/tex]
I hope it helps ~
What fraction is equivalent to four tenths and has a denominator of 100?
Answer:
[tex]\frac{40}{100}[/tex]
Step-by-step explanation:
You can multiply on the upper and bottom part by the same number without changing the fraction so [tex]\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}[/tex]
Solve each system by substitution. Show all work.
4x + y = 0
-x - 2y =7
4x + y = 0
-x - 2y =7
with - x - 2y = 7
we have x = -2y - 7
we replace x by this value in the first one
4 * (-2y - 7) + y = 0
- 8y - 28 + y = 0
- 7y = 28
y = 28/(-7)
y = - 4
since 4x + y = 0
we have 4x + (-4) = 0
4x = 4
x = 1
(1 ; -4)
I need help will give 20 points
Answer:
x=136 degrees
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.
I hope this solution was helpful. Happy mathing!
In Theresa's first 8 basketball games, she scored 7,4,3,6,8,3,1 and 5 points. In her
ninth game, she scored fewer than 10 points and her points-per-game average for the nine
games was an integer. In her tenth game, she scored fewer than 10 points and her points-per-
game average for the ten games was an integer. What is the product of the number of points
she scored in the ninth and tenth games?
Answer: 40
Step-by-step explanation: The total number of points from the first 8 games is 7+4+3+6+8+3+1+5=37.
We have to make this a multiple of 9 by scoring less than 10 points.
The closest multiple of 9 is 45. 45-37=8.
Now we have to add a number to get a multiple of 10.
The next multiple is 50 we added 5, multiplying these together you get 8 x 5 is 40.
help me pleasseeeee!!
Answer:
-35/91 is the required answer
Hope it helps
make me brainlist
Which choice shows the graph of the solution set for the inequality p - 2 > 6?
(A
"10
"5
0
5
10
B)
10
5
0
5
10
"10
5
HHHO+++
5 10
0
*10
-5
HHHO++++
0 5 10
Answer:
p > 8
Step-by-step explanation:
p - 2 > 6
Add 2 to each side
p > 8
Please help ASAP
I'll mark Brainliest
Find the derivative of 30x² + 7x at x = 2.
Answer:
127
Step-by-step explanation:
Given :
30x² + 7xOn differentiating,
dy/dx = 2 * 30 * x²⁻¹ + 1 * 7 * x¹⁻¹dy/dx = 60x + 7At x = 2
60(2) + 7120 + 7127First differentiate
d/dx(x^n)=nx^n-1So
[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]
[tex]\\ \rm\Rrightarrow 60x+7[/tex]
Put x=2
60(2)+7120+71274. Find the perimeter of the figure below. Use 3.14 for pi.
number answer.
Answer:
90.24 mm
Step-by-step explanation:
Circumference = 2πr
C = 2(3.14)(16)
C = 100.48 mm
Perimeter of the figure = 20 + 20 + 1/2 (circumference)
P = 40 + 1/2 (100.48)
P = 40 + 50.24
P = 90.24 mm
I hope this helps!
why does no one love me
Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.
hope that helps.
What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81
Step-by-step explanation:
We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.
Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.
Solve the equation for all values of x by completing the square. 5x^2-70x=-230
Solve this ASAP please
Answer:
[tex]x=7 + \sqrt{3}[/tex]
[tex]x=7 - \sqrt{3}[/tex]
Step-by-step explanation:
Given equation:
[tex]5x^2-70x=-230[/tex]
Divide both sides by 5:
[tex]x^2-14x=-46[/tex]
Square half of the coefficient of [tex]x[/tex]: [tex](-14 \div 2)^2=49[/tex]
and add this to both sides:
[tex]x^2-14x+49=-46+49[/tex]
Factor the left side and simplify the right side:
[tex](x-7)^2=3[/tex]
Square root both sides:
[tex]x-7=\pm\sqrt{3}[/tex]
Add 7 to both sides:
[tex]x=7 \pm \sqrt{3}[/tex]
[tex]\sf x=\pm \sqrt{3}+7[/tex]
solving step wise:
[tex]\sf 5x^2-70x=-230[/tex]
divide the following by 5
[tex]\sf x^2-14x=-46[/tex]
completing square
[tex]\sf (x-\dfrac{14}{2})^2-(\dfrac{14}{2})^2 =-46[/tex]
should look like this
[tex]\sf (x-7)^2-49=-46[/tex]
simplify by changing sides
[tex]\sf x-7=\pm \sqrt{3}[/tex]
final answer:
[tex]\sf x=\pm \sqrt{3}+7[/tex]
What is the distance between the points (8, 12) and (1, 3)? If necessary, round
your answer to two decimal places.
O A. 130 units
B. 11.40 units
C. 12.08 units
D. 146 units
Answer:
B
Step-by-step explanation:
(8,12)=(x1, y1)
(1,3)=(X2, y2)
distance=√(x2-x1)^2+(y2-y1)^2
=√(1-8)^2+(3-12)^2
=√(49+81)
√130
=11.40
Can someone help me with this please? :)))
Answer:
88
Step-by-step explanation:
86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.
Which graph represents the function f(x) = - |x - 2| - 1?
Answer:
nsgs6
68÷9
02_3
73929
Step-by-step explanation:
8282×627=628373
Answer:
i hope this helps you!
Step-by-step explanation:
The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?
Use 3. 14 for
Answer:
r = 3 yds
Step-by-step explanation:
The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.
The circumference is given and using 3.14 for pi, we'll then solve for r. see image.
Muriel is considering leasing a car, and she is even thinking about buying it after the lease is up. She's trying to make sense of the terms of the lease before she makes her decision, but she's having a little trouble figuring it all out. The terms of the lease are as follows.
Terms:
Length of lease: 32 months
MSRP of the car: $26,260
Purchase value of the car after lease: $14,330
Down payment: $1270
Security deposit: $605
Acquisition fee: $765
Lease factor: 0.00073
Provide Muriel with some assistance by answering the following questions. 5 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point; Part V - 1 point)
What is the amount of the cash due at signing?
What would be Muriel's monthly payment? What is the total amount of money that Muriel would spend on monthly payments? What is the total cost of leasing the car, assuming that Muriel does not get the security deposit back?
What is the total price of the car if Muriel buys it after leasing, assuming that she does not get the security deposit back
The amount of cash due based on the terms of the lease that Muriel will pay is $2640.
How to calculate the cash due?The amount of cash due is calculated thus:
= Security deposit + Acquisition fee + Down payment
= $605 + $1270 + $765
= $2640
The monthly lease payment will be:
= Depreciation + Interest
= $133 + $28.7
= $161.70
Depreciation was calculated as:
= ($24990 - $14330) / 32 = $133
Interest was calculated as:
= Capitalized cost + Residual value × Money factor
= ($24990 + $14330) × 0.00073
= $28.70
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100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)
Let's see
[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]
Graph attached
vertex(-2,-13)Axis of symmetry
x=-2Answer:
axis of symmetry: x = 2
vertex: (-2, 13)
Step-by-step explanation:
Given function
[tex]\sf y=6x^2-24x+11[/tex]
Vertex form
[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Expand vertex form:
[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of expanded vertex form with given function:
coefficient of [tex]\sf x^2[/tex]:
⇒ a = 6
coefficient of [tex]\sf x[/tex]:
⇒ -2ah = -24
⇒ ah = 12
⇒ 6h = 12
⇒ h = 2
constant:
⇒ [tex]\sf ah^2+k=11[/tex]
⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]
⇒ [tex]\sf 24+k=11[/tex]
⇒ [tex]\sf k=-13[/tex]
Vertex
Vertex = (2, -13)
Axis of symmetry
Axis of symmetry is when x = h
Therefore, axis of symmetry is x = 2
Rhys's house had a temperature of 12°C. He put the heating on and the temperature rose by 8°C. As he was still co Rhys decided to light a fire which increased the temperature by a further 13°C. What was the temperature in the hou now?
Answer:
this is very easy.
Step-by-step explanation:
if he started at a temperature of 12, then added 8 and added 13 onto that? the sum of those numbers would be 33. so 33 degrees Celsius
A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D.
The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We're specified that:
The password needs to be 4 characters longIt must have 3 letters and 1 of 10 special characters.Repetition is allowed.So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).
And that 1 remaining character get 10 ways of being a special character.
So, by product rule, this choice (without ordering) can be done in:
[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.
Now, the password may look like one of those:
L, L, L, SL, L, S, LL, S, L, LS, L, L, Lwhere S shows presence of special character and L shows presence of letter.
Those 175760 ways are available for each of those four ways.
Thus, resultant number of ways this can be done is:
[tex]175760 \times 4 = 703040[/tex]
Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
Learn more about rule of product here:
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