Answer:
54
Step-by-step explanation:
3*6*3=54
The solution is Option G.
The number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is given by combination C = 54 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt be C
Now , the equation will be
The total number of shoes = 3 pairs
The total number of pants = 3 pairs
The total number of shirts = 6 shirts
And , the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is calculated by Combination , where
The number of ways of selecting 1 pair of shoes = ³C₁
The number of ways of selecting 1 pair of pants = ³C₁
The number of ways of selecting 1 shirt = ⁶C₁
So , the total number of ways = ³C₁ x ³C₁ x ⁶C₁
On simplifying the equation , we get
The total number of ways C = 3 x 3 x 6
The total number of ways C = 54 ways
Hence , the combination is C = 54 ways
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Solve the Simultaneous Equations: a - b = 3
Answer:
it could be 4-1=3 but i would do 10-7=3
Step-by-step explanation:
Find the area. Simplify your answer
Answer:
man you still have to use IXL
Step-by-step explanation:
Find The Missing Lenght of the right triangle. Round to The Nearest
Answer:
b ≈ 8.49
Step-by-step explanation:
A^2 + b^2 = c^2. (Pythagorean theorem)
c is the hypotenuse or the longest side of a triangle.
a and b are the other 2 sides.
17^2 + b^2 = 19^2
289 + b^2 = 361
289 + b^2 - 289 = 361 - 289
b^2 = 72
b ≈ 8.49
Have a great day!
Given the following kite find:
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
how many ways can you arrange 28
Answer:
In 6 ways 28 can be arranged
Step-by-step explanation:
1 × 28 = 28
2 × 14 = 28
4 × 7 = 28
7 × 4 = 28
14 × 2 = 28
28 × 1 = 28
Thus, In 6 ways 28 can be arranged
-TheUnknownScientist
On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?
Answer: 50 degrees
Step-by-step explanation:
36 - - 14
36 + 14 = 50
Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =
Answer:
12/49
Step-by-step explanation:
Give a brief definition of the term population.
a prediction of the entire collection of individuals about which information is required
a prediction about a subset of the entire collection of individuals about which information is required
a subset of the entire collection of individuals or objects about which information is required, selected for study in some prescribed manner
the entire collection of individuals or objects about which information is required
Answer:
The term population refers to the total number of organisms/people occupying specific area is known as population.
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
Find the mean of the picture below?
What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
m
A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.
Answer:
x = 10.2 m
Step-by-step explanation:
law of sines:
sin 30° / x = sin 69° / 19
cross-multiply:
.5(19) = sin 69°x
x = .5(19) / sin 69°
x = 9.5/.934
x = 10.2
The value of x with the help of sine law is 10.2 units.
What is Sine Law?
Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
Here, Law of sines:
[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]
sin 30° / x = sin 69° / 19
1/2x = sin 69° / 19
cross-multiply:
19/2 = sin 69°x
x = 9.5 / sin 69°
x = 9.5/0.934
x = 10.2
Thus, the value of x with the help of sine law is 10.2 units.
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PLSS HELP: Find the value of w
Answer:
[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]
a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у
Step-by-step explanation:
Given equation is x+y=6
Table:-[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]
∠1 and ∠2 are supplementary angles. ∠1 and ∠3 are vertical angles. If m ∠2=72 degrees, then find m ∠3
Answer:
m<3 = 108
Step-by-step explanation:
Since <1 and <2 are supplementary, the equation is:
<1 + <2 = 180
Since <1 and <3 are vertical angles. the equation is:
<1 = <3
To find m<3:
<2 + <3 = 180
72 + <3 = 180
<3 = 180 - 72
<3 = 108
The measure of angle ∠3 is 108 degrees.
What is supplementary angle?Supplementary angles are those angles that sum up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.
What is vertical angle?Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.
For the given situation,
∠1 and ∠2 are supplementary angles.
∠1 and ∠3 are vertical angles.
Measure of angle, m ∠2 = 72
From definition, we know that
∠1 + ∠2 = 180 (supplementary angles) ------- (1)
and
∠1 = ∠3 (vertical angles) --------- (2)
From (1) and (2),
⇒ [tex]\angle3 + \angle2 = 180[/tex]
⇒ [tex]\angle3=180-72[/tex]
⇒ [tex]\angle3=108[/tex]
Hence we can conclude that the measure of angle ∠3 is 108 degrees.
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A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?
Answer:
27
Step-by-step explanation:
Boys to girls is 2:3
and there are 18 boys so that means the 2 in 2:3 is actually 18
and 2 x 9 = 18 , so you would need to also multiply 3 by 9.
3 x 9 = 27
18:27
there are 27 girls
Can someone help me with this?
Answer:
d and e
Step-by-step explanation:
A cooler shape of a rectangular prism. What is the volume of the cooler? Round to the nearest tenth if necessary.
Answer:
Volume of the cooler = 2,772 in³
Step-by-step explanation:
Volume of the cooler = length × width × height
Length = 22 in
Width = 12 in
Height = 10 1/2 in
= 21/2
= 10.5 in
Volume of the cooler = length × width × height
= 22 in × 12 in × 10.5 in
= 2,772 in³
Volume of the cooler = 2,772 in³
HELP ME PLEASE.....................................................
25 p ² + 70p+49=0
Answer please
Answer please
Step-by-step explanation:
25 p² + 70p +49=0
(5p + 7)(5p + 7) = 0
(5p + 7) =0
5p = -7
so, P = -7/5
A rectangular container with a base of 24 inches by 15 inches is 1/3 filled with water. If all the water is poured into an empty rectangular container measuring 12 inches by 18 inches by 10 inches, it will fill the second container to its brim. What is the height of the first container?
Answer:
18 inches
Step-by-step explanation:
volume of a cuboid = length x breadth x height
the following equation can be derived from the question
let h = unknown height
1/3(24 x 15 x h) = (12 x 18 x 10)
Multiply both sides of the equation by 3
(24 x 15 x h) = (12 x 18 x 10) x 3
Divide both sides of the equation by (24 x 15)
h = 18 inches
The circumference of a circle is 10 cm. What is the Radius of the circle
Answer:
The radius is 5
Step-by-step explanation:
The radius is half the circumference. Therefore, 10 ÷ 2 = 5.
Answer:
5
Step-by-step explanation:
I belI've it would be 5 um yea
have a great day
PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *
Answer:
please apply the formula of distance
l think but not sure
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?
Answer:
[tex]t=3.142sec[/tex]
Step-by-step explanation:
From the question we are told that:
Speed of ball [tex]V=35m/s\approx 80 mph[/tex]
Length of field [tex]l=110m[/tex]
Generally the equation for Time taken [tex]t[/tex] is mathematically given by
[tex]t=m/V[/tex]
[tex]t=110/35[/tex]
[tex]t=3.142sec[/tex]
[tex]t \approx \frac{3.142}{60}[/tex]
[tex]t \approx 0.05hrs[/tex]
Therefore it will take the ball to get from one end of the field to the other
[tex]t=3.142sec[/tex]
solve the following inequality algebraically
SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.
Answer:
TQ=SR [since it is isosceles trapezoid]
6x+1.2=9x-48
48+1.2=9x-6x
3x=49.2
x=49.2/3=16.4
now
QR=3×16.4+2.5=51.7
SR=9×16.4-48=99.6
ST=4×16.4-2=63.6
TQ=6×16.4+1.2=99.6
As it's isosceles trapezoid
QT=RS9x-4.8=6x+1.23x=6x=2Now
QR=3(2)+2.5=8.5
RS=9(2)-4.8=13.2
ST=4(2)-2=6
QT=6(2)-1.2=10.8
find the value of x in the triangle shown below 4 9
Answer:
the answer is 65
Step-by-step explanation:
hopes this helps :)
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
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What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?
Answer:
Step-by-step explanation:
2006053?
Answer:
2,000 + 600 + 50 + 3 = 2,653
Step-by-step explanation:
A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?
Answer: 12 days
Step-by-step explanation:
Given
A community pool charges $78 for a swim lesson and $2 for a towel each day
Suppose Yolanda attended the session for x days
So, we can write the total fees of $102 as
[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]
So, Yolanda attended the swim lessons for 12 days