Matrix:-
[tex]\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right][/tex]
A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?
~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
4x squared plus 20x minus 24 pls
The Answer will equal 4(x-1)(x-6)
Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x
Answer:
4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.
Step-by-step explanation:
4x^2+20x-24
16x+20x-24
36x-24
12x
60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b
Answer:
a=2.55
b=0.576
c=912.87
f=2.295
Step-by-step explanation:
=15/100*17
=2.55
=17/100*15
=2.55
=1.2/100*48
=0.576
=12/100*480
=57.6
=147/100*621
=912.87
=125/100*549
=686.25
=80/100*2.55
=2.04
=40/100*2a
=40/100*(2*2.55)
=0.4*(5.1)
=2.04
=36/100*2.5(2.55)
=0.36*6.375
=2.295
=1.5/100*80(2.55)
=0.015*(204)
=3.06
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.
Answer:
[tex]2(w-7) < 30[/tex]
Step-by-step explanation:
Twice is translate as multiply by 2The different is the subtraction between [tex]w[/tex] and 7at most 30 is equal to say that can't be greater than 30Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]
Answer:
2w+14<(with the line under the <)30
Step-by-step explanation:
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
Help please quick I don’t understand this stuff
Hello,
(i) Express n as the subject.
[tex]C=\frac{nA}{n+12}[/tex]
[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]
(ii)
Since C = 6 mL and n = 8 we need to solve this equation of unknown A :
[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]
Thus, the equivalent adult dosage A would be 15 mL
(iii) I let you think about this one
Good Luck
$360 is shared among hannah , Ryan and Kelly in ratio 2:3:5 . how much less will hannah receive than kelly?
Answer:
$108 less
Step-by-step explanation:
2 + 3 + 5 = 10 parts
each part is 360/10 = $36
Hanna has 5 - 2 = 3 parts less than Kelly
3 * 36 = 108
$108 less
Rewrite 4/6 and 1/3 as a unite rate
Answer: B
Step-by-step explanation: Hope this helps :)
8m - 8 - 8 = 16
equation
Answer:
8m-16 =16
8m=16+16
8m =32
m=32/8
m=4
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY
Write 2549 correct to the nearest 10
Answer:
2550
Step-by-step explanation:
Below are 2 similar triangles
The area of triangle A is 20cm^2 work out the area of triangle B
Solve for h.
h - 6 =
=
7
Answer:
h = 13Step-by-step explanation:
Solve for h.
h - 6 = 7
h = 7 + 6
h = 13
------------------
check
13 - 6 = 7
7 = 7
the answer is good
So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.
6+7=13
13-6=7
and h=13
Easy, huh?
Can you please help me I need to pass for my basketball game Tuesday please help if I don’t pass i can’t play !!
Answer:
x = 17
Step-by-step explanation:
The two given angles are supplementary angles, but also all angles on a straight light must add up to 180°:
3x + 14 + 7x - 4 = 180
Add like terms
3x + 7x + 14 - 4 = 180
10x + 10 = 180
Subtract 10 from both sides to isolate 10x:
10x + 10 - 10 = 180 - 10
10x = 170
Divide both sides by 10:
10x ÷ 10 = 170 ÷ 10
x = 17
Hope this helps!
what is the solution of this equation?
2y=24
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?
Answer:
3.75
Step-by-step explanation:
If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75
Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?
b) Find the fraction of the watermelon that remains.
Answer:
A) Second, as 3/8 is larger than 1/3.
B) 7/24
Step-by-step explanation:
3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.
9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.
I need these answers
Answer:
1) x = 14.14
2) 2
Step-by-step explanation:
1) sin(45°) = x/20
sin(45°) · 20 = x
x = 14.14
2) Since PST are double the size of PQR it would just be a scale factor of 2
Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?
Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.
The difference between Lizzy's base salary and Jackie's is:
= 1,800 - 1,500
= $300
Assuming a nail service costs $20, the amount she makes per service is:
= 20% x 20
= $4
The number of nail services she needs to do is therefore:
= Difference in wages / Amount per service
= 300 / 4
= 75 nail services
In conclusion, Jackie needs to do 75 nail services.
Find out more at https://brainly.com/question/17700034.
I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)
Answer:
1 + 1 is 2
Step-by-step explanation:
very hard question
Answer:
Step-by-step explanation:
1+1= 2
Tell whether the given value is a solution of the inequality.
Answer:
Step-by-step explanation:
8p < -3
if p = -2
8* -2 < -3
-16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3
i have to make an equation for example
Answer:
Both of them are Non-Proportional since none are touching 0. I'm not sure if you're looking for Proportionality.
what is the slope of the line
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5NEED HELP NOW thanks
Answer:
13 uvugugugugycycycycycycy
Step-by-step explanation:
cycle yvy
Step-by-step explanation:
it's somehow confusing because there's no coordinates for line k
1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.
Answer:
16.49%
Step-by-step explanation:
0.97+16.49%=1.129953
The percentage increase is 16.49%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100)
We are given that the price of a newspaper increased from $0.97 to $1.13
WE need to find the percentage increase.
Therefore,
Intital price = 0.97 ( 1.13 - 0.07)
= 0.16 / 0.97 x 100
= 16/0.97
= 16.49
0.97+16.49% = 1.129953
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
Everyday Jayden saves a half of his lunch money. By Friday he has $ 600. How much money does he get daily for lunch?
The amount he gets for lunch is an illustration of mean and averages.
He gets for lunch is $240 daily
Represent the amount he gets for lunch each day be x.
So, the amount saved each day is x/2
From Monday to Friday, the total savings would be 5x/2
So, we have:
[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]
Multiply both sides by 2
[tex]\mathbf{5x = \$1200}[/tex]
Divide both sides by 5
[tex]\mathbf{x = \$240}[/tex]
Hence, the amount he gets for lunch is $240 daily
Read more about mean and averages at:
https://brainly.com/question/16217700
Can some one help in thsi with the steps required
Answer: 24.5 m² ( area)
Step-by-step explanation:
See , Total area of wall is given - length , 6m - width/breadth , 5m
so , Area of total wall = l x b = 6*5 = 30m²
so , there is a window whose length is 2 meters and breadth/width of 0.5m
so , Area of window = l x b = 1m²
So , area of door = length , 3 - Width/breadth- 0.5 m²
So , Area of door = 3* 1.5 = 4.5
Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .
= total area of wall - area of window and door
30m²-1m²-4.5
So as a result , we get a total area of the wall without the window and door to be painted as 24.5m²
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
Please solve step by step
Answer:
Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]
Step-by-step explanation:
7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]
= 6[tex]x^{2}[/tex] + 3x
= 3x ( 2x + 1 )
Hopefully this helps.
What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5
Answer:
Hello!
After reviewing the question you have provided, I came up with the correct answer:
C) 2
Step-by-step explanation:
Firstly:
As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.
When you round the two numbers you should come up with "3-1= ____".
This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.
So 3.2 rounds to 3
And 1.4 rounds to 1.
With the new equation you can then solve "3-1= 2"!
Hope this helps!