Answer:
150 different committees can be formed
Step-by-step explanation:
We have 6 boys and 5 girls and we want to select 5 members
Out of these 5 members, two boys are selected
Since two boys are selected, we are left with three girls
So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls
Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;
nCr = n!/(n-r)!r!
With this, we have;
6C2 * 5C3
= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed
6g+5 =-2(1+2g)
------------------
Answer:
g: -7/10 or -0.7
Step-by-step explanation:
[tex]6g+5=-2\left(1+2g\right)[/tex]
Apply the distributive law:-
[tex]-2\left(1+2g\right)[/tex]
[tex]=-2-4g[/tex]
[tex]6g+5=-2-4g[/tex]
Now, we´ll Subtract 5 from both sides :-
[tex]6g+5-5=-2-4g-5[/tex]
[tex]6g=-4g-7[/tex]
Add 4g to both sides :-
[tex]6g+4g=-4g-7+4g[/tex]
[tex]10g=-7[/tex]
Now, divide both sides by 10:-
[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]
[tex]g=-\frac{7}{10}[/tex]
OAmalOHopeO
Factor 2x2c2 + 3xc2 − 35c2. Show your work.
Answer:
c²(x + 5)(2x - 7)Step-by-step explanation:
2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]
Take c^2 common[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]
Factor the brackets[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]
[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]
[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
https://brainly.com/question/24329720
95°
6rº + 47°
r_ degrees
Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer: r = 8
Step-by-step explanation:
The angles a VOA vertically opposite angles which means they are congurent and equal
6r + 47 = 95
6r = 95 - 47
6r = 48
r = 48/6
r = 8
please click thanks and mark brainliest if you like :)
a sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.which complex fraction represents the unit rate in miles per hour.
Answer:
2 1/2 miles = 1/6 hours 2 1/2 miles * 6 = 1/6 hours * 6 12 1/2 miles = 6/6 hours 12 1/2 miles = 1 hour 12 1/2 miles/hr
Answer:
[tex]\frac{\frac{5}{2} * 6 }{\frac{1}{6} * 6}[/tex] = [tex]\frac{\frac{30}{2} }{\frac{6}{6} }[/tex]
Step-by-step explanation:
What is the solution to the equation below? (round your answer two decimal places)
e^x=7.1
Answer:
Step-by-step explanation:
In order to undo that e, you need to take the natural log of both sides:
[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with
x = ln(7.1) so
x = 1.96
Point M is the midpoint of AB. The coordinate of point A are (-8,3) and the coordinates of M are (-2,1). What are the coordinates of point B?
Answer:
(4, -1)
Step-by-step explanation:
xB = -2+(-2-(-8)) = -2 +6 = 4
yB = 1+(1-3)=1+(-2) = -1
so, the coordinates of point B => (4, -1)
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. 12 for $6.00
Step-by-step explanation:
Answer:
C. 12 for $6.00
Step-by-step explanation:
better than $13.00 for 24. as that'd be $6.50 for 12..
which of the following are polynomials
a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go
Answer:
648 km
Step-by-step explanation:
distance travelled= speed * time
distance= 72kph * 9 hours
distance= 648 km
A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and with that is for meters greater than the width of the first garden the second Gordon has area of 120 m² what is the length of the two gardens
Solution :
For the bigger rectangle
Width of bigger rectangle = W
Length of bigger rectangle, L = 2W
For the smaller rectangle
Width , w = W+4
Length, l = L = 2W
Area, a =120 [tex]m^2[/tex]
Now we know,
Area = length x width
[tex]$a=l \times w$[/tex]
[tex]$120=(2W) \times (W+4)$[/tex]
[tex]$120=2W^2 + 8W$[/tex]
[tex]$2W^2+8W-120=0$[/tex]
[tex]$W^2+4W-60=0$[/tex]
[tex]$(W+10)(W-6) = 0$[/tex]
We get, either [tex]W=-10[/tex] (rejecting)
or [tex]W=6[/tex]
∴ length of the bigger rectangle, [tex]$L=2W $[/tex]
= 2(6)
= 12 m
Length of the smaller rectangle, [tex]$L=2W$[/tex]
= 2(6)
= 12 m
Hence, the length of the two gardens is 12 m.
2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?
Match the equation on the left with the correct solution on the right.
1) What is the common difference of the arithmetic sequence 5, 8, 11, 14?
Answer:
The common difference of the sequence 5,8,11,14 is 3.
Answer:
the answer is 3
Step-by-step explanation:
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers if you know the two numbers
Answer:
See below.
Step-by-step explanation:
The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.
I'll do problem a as an example:
PLS ANSWER ASAP NO WRONG ANSWERS
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
a regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) if one card is drawn at random from the deck, find the probability of the following events: it a 7, 8, or a king
HELP PLZ!!!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]
15 2 times n
16 10 race to the power 7
17 m race to the power 5
18 x times y
19 6 subtracted from 5 times n race to the power 2
20 1 added to 9 times a race to the power 3
21 x race to the power 3 times y race to the power 2
22 c race to the power 4 times d race to the power 6
23 3 times e added to 2 times e race to the power 2
Must click thanks and mark brainliest
Evaluate C(6, 3)
120
720
20
Answer:
20
Step-by-step explanation:
C(6,3) = 6!/[3!(6-3)!]
= 20
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
d =(√3−(−2√3))2+(−√2−5√2)2
Answer:
99
Step-by-step explanation:
(√3−(−2√3))^2+(−√2−5√2)^2
Subtracting a negative is like adding
(√3+(2√3))^2+(−√2−5√2)^2
Taking the first term
(√3+(2√3))(√3+(2√3))
sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3) + (2 sqrt(3))^2
3 + 2 *3 + 2*3 + 4*3
3 +6+6+12
27
Second term
(−√2−5√2)(−√2−5√2)
-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))
2 +5*2 +5(2) +25(2)
2+10+10+50
72
Add the two terms together
27+72
99
Answer:
d = 6(√3 - 2√2)
Step-by-step explanation:
d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2
d = (√3 + 2√3) * 2 + (-√2 - 5√2) * 2
d = 3√3 * 2 + (-6√2) * 2
d = 6√3 + (-12√2)
d = 6√3 - 12√2
d = 6(√3 - 2√2)
Please answer this asap. explanation would be appreciated. i don’t understand this
Answer:
First, find the value of x:
[tex]h(5-x)=h(9)\\5-x=9\\-x=9-5\\-x=4\\x=-4[/tex]
Substitute the x-value in to the function [tex]x^{2}+x+1[/tex] and solve:
[tex](-4)^{2}+(-4)+1=16-4+1=12+1=13[/tex]
Therefore, the value of h(9) = 13.
Hope this is correct O-o
Answer:
A
Step-by-step explanation:
Since we need to find the value of h(9), we can substitute the (5-x) part from the original equation with 9 to get the value of x, which is 5-x = 9, x = -4. With that, we can go ahead and plug the x into the right side of the equation to get (-4)^2 + (-4) + 1, which equals 16 - 4 + 1, which equals 13.
I hope this helped! Please do let me know if you have further questions :D
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Answer:
base = 3x - 1
height = x
area of triangle = (1/2)bh
22 = (1/2)(3x-1)(x)
44 = (3x-1)(x)
44 = 3x^2-x
0 = 3x^2-x-44
0 = 3x^2-12x+11x-44
0 = (3x^2-12x)+(11x-44)
0 = 3x(x-4)+11(x-4)
0 = (x-4)(3x+11)
x = {-11/3, 4}
throw out the negative solution (extraneous) leaving
x = 4 m (height)
.
Base:
3x - 1 = 3(4) - 1 = 12 - 1 = 11
Step-by-step explanation:
I hope it will help you
Find the value of b.
Answer:
B
Step-by-step explanation:
The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then
b = [tex]\frac{1}{2}[/tex] ( 180 - 35) = [tex]\frac{1}{2}[/tex] × 145° = 72.5° → B
please answer this!!!!!
Answer: Choice A. 338 meters
Step-by-step explanation:
tan(31°)=203/x
Answer: 338 m
Step-by-step explanation:
Tan 59 = x/203
(1.66)(203)=338m
square root of 800 to the nearest thousandth
Answer:
28.284
Step-by-step explanation:
PLZ HELP AND EXPLAIN!! I'll give brainy
For this exponential function,
what is the output value (y),
when the input value (x) is 2?
y = 10.5x
(2, [?])
Answer:
(2,21)
Step-by-step explanation:
y = 10.5x
it says that x=2 and when you plug the 2 in the equation you would get
y = 10.5(2)
then multiply the 2 and 10.5
y=21
that is my answer
glad yo help
[tex]71 \times 3 + 96 - 5 \div 3 \times 96 + 8[/tex]
thanks.............
:)
;)
Answer:
157
hope it help
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Find the missing segment in the image below
Answer:
again it has a ratio
Step-by-step explanation:
follow this steps.
firstly look at the side and you got the ratio 24/16
secondly write 42/? and multiply by 24/16
the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28
