Answer:
7/1
Step-by-step explanation:
There are 7 players if the coach randomly draws a name that determines who stays on the bench there is a 1/7 chance Brianna will stay on the bench because there are 7 people and Brianna is 1 of them
how many ways can 5 friends sit together at the movies in 5 seats?
Answer:
120
Step-by-step explanation:
The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,
[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]
⇒ 5! / (5-5)!
⇒ 5! / 1!
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.Sarah is going on a trip. She drives for 1 hours and 40 minutes, rests for 25 minutes and drives for another 1 hours 45 minutes. What is her total travel time in hours and minutes
Answer:
3 hours and 50 minutes
Step-by-step explanation:
Given that
Sarah drives for 1 hours and 40 minutes
And, rest for 25 minutes
And, then drive for another 1 hour & 45 minutes
We need to find out the total travel time in hours and minutes
First we convert into minutes i.e.
= 1 hour + 40 minutes + 25 minutes + 1 hours + 45 minutes
= 60 minutes + 40 minutes + 25 minutes + 60 minutes + 45 minutes
= 230 minutes
i.e.
3 hours and 50 minutes
HELP ME PLEASE ............................
In October Sally drove 560 miles in her car.
The car travelled 34.5 miles for each gallon of petrol used.
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October
Answer: £80
Step-by-step explanation:
First, we need to calculate the number of gallons used by Sally. This will be:
= 560 / 34.5
= 16.23 gallons
Since 1 gallon = 4.55 litres, we calculate the number of liters and this will be:
= 16.23 × 4.55
= 73.85 liters
Since Petrol cost £1.08 per litre, the cost of the petrol will be:
= £1.08 × 73.85
= ££79.758
= £80 approximately
please help! i have a certain amount of time. i'll give brainliest
Answer:
86ft²
Step-by-step explanation:
3x2/2=3
3x2/6=3
10x2.5=25
10x2.5=25
3x10=30
30+25+25+3+3=86
Fiona is seven years less than twice the age of Carlos. The combined age of
Fiona and Carlos is 53 years.
Which of the following systems of equations represents the situation?
A.F= 2C – 7
C+F = 53
B.C= 2F - 7
C + F = 53
C.F = 53 – 7
C + F = 2C
How old is fiona and how old is Carlos
Marina picked X apples in Orchard she and her friends 86 then leaving 36 Apples The number of apples can be represented by the equation X -6 equals 36 plot a point on the number line to represent X
Answer:
[tex]x = 42[/tex]
See attachment for number line (see that the dot is on 42)
Step-by-step explanation:
Given
[tex]x - 6 = 36[/tex]
Required
Plot x on a number line
First, we solve for x
[tex]x - 6 = 36[/tex]
Add 6 to both sides
[tex]x - 6 +6= 36+6[/tex]
[tex]x = 42[/tex]
See attachment for number line
Write an equivalent expression for 3(2x + 4y).
Answer:
6x+12y
Step-by-step explanation:
I hope this helps, and STAYYY!!!!!! Fresh!
On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the
number of burritos sold. Pizza sold for $2.50 a slice and burritos sold for $3.00 each. The cafeteria collected a total of
$358 for selling these two items. Homework Help
a. Write two equations with two variables to represent the information in this problem. Be sure to define your
variables by writing let statements.
b. Solve your system from part (a). Then determine how many pizza slices were sold.
Answer:
82
Yes, that is the answer. Try it and you'll get it correct, I think...
On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.
If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?
Step-by-step explanation:
A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?
5 cm
10 cm
15 cm
20 cm
Answer:
5 cm
Step-by-step explanation:
Arc length (S) = 10 cm
Central angle [tex] (\theta) [/tex] = 2 radians
We need to find: radius of the circle (r)
[tex] \because S = r \theta [/tex]
[tex] \therefore 10 = r(2) [/tex]
[tex] \therefore r= \frac{10}{2} [/tex]
[tex] \therefore r= 5\: cm [/tex]
can someone helppp!! i will guy brainlist if it’s right!
Answer: 12.75
Step-by-step explanation:
10.25+ .50(5)=12.75
Question 4 of 10
Which of the following is equal to 9•4 ?
O A.
O B. V.4
O C. 36
O D. 18
Answer:
36
Step-by-step explanation:
9x4=36
PLEASE HELP!!!!!!!!!!!!
Answer:
1. 10√3
2. -√5
3. 21√3 -9√5
4. 12√7-√11
5. 8√5-3(√5*√4) = 8√5- (3*2)√5= 2√5
6. √5*√4 -√5= 2√5-√5= √5
7. 3√5*√9 +√5*√4 -√49*√5 = 15√5+2√5-7√5= 10√5
8. √6*√4 - √6*√9 + √16*√6= 2√6-3√6+4√6= 3√6
Hope it helps you :)
In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
A
Step-by-step explanation:
A triangle has 180 degrees.
So, 10 + 145 + x = 180
x = 25
This means that the angles in the triangle are:
10, 145, and 25
Using this information, only A has the same values so it is the answer
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answer:
4410
Step-by-step explanation:
What is the volume of this prism?
Answer:24
Step-by-step explanation:
LxWxH = 4x2x3
4x2 = 8
8 x 3 = 24
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
7, 12, 17
Find the 34th term
The 34th term of the sequence is 172
Arithmetic sequenceThis is a type of sequence which have a common difference (d) between each term
How to determine the 34th term of the sequenceFrom the question given above, the following data were:
Sequence => 7, 12, 17First term (a) = 7Common difference (d) = 12 – 7 = 534th term (T₃₄) =?T₃₄ = a + 33d
T₃₄ = 7 + (33×5)
T₃₄ = 7 + 165
T₃₄ = 172
Learn more about arithmetic sequence:
https://brainly.com/question/24873057
The 34th term of the sequence is 172
Sequence and seriesGiven the sequence 7, 12, 17...
The nth term of the sequence is expressed as;
Tn = a + (n-1)dGiven the following
a = 7
d = 12 - 7 = 5
n = 34
Substitute the given parameters
T34 = 7 + (34 - 1)*5
T34 = 7 + (33)*5
T34 = 172
Hence the 34th term of the sequence is 172
Learn more on sequence here: https://brainly.com/question/6561461
please help, thank you!
Answer:
Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.
Can anybody help me with this problem?
Answer:
$830
Step-by-step explanation:
x/2=200+215
x/2=415 multiply by two on both sides to get x alone
x=830
El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
What is the area of these trapezoid
Answer:
1. 54ft squared 2. 48 cm squared
Step-by-step explanation:
N + 6 < -1 what is the solution to the inequality
Answer:
N<-7 or (-∞,-7) hope this helps
8. Mystery Number: a number is multiplied by 5. The product is then added to 11. The square root of that sum is equal to 9. Find the number. Show your work or steps.
Answer:
14
Step-by-step explanation:
14x5=70
70+11=81
√81=9
Classify this triangle by its sides and angles.
Answer:
choice 3) acute and equilateral
Step-by-step explanation:
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
(1, 1/4), (0, 1), (-1,4), (-2, 16)
linear or exponential or neither
Answer:
exponential
Step-by-step explanation:
Answer:
Exponential
Step-by-step explanation:
You can look at the values and see that they multiply by 1/4 each time. You can also plug the value into a graphing calculator.
does anyone know the surface area of this pyramid?
Answer:
217
Step-by-step explanation:
1/2 * 12 * 7 = 42 this is one side of the pyramid
4x for all sides = 168
add the bottom which is just a square 7*7 = 49
168 + 49 = 217
-x^2+6x-5=f(x)
find the vertex and x/y intercepts