Answer:
91.4
Step-by-step explanation:
We know that the formula to a right triangle is a^2 + b^2 = c^2
so assume 73 and 55 are both Not the hypotenuse, then
73*73 + 55*55 = c^2
5329 + 3025 = 8354
c = 91.4
Please help me solve this cryptarithm. I will be grateful and you will earn 10 points.
Step-by-step explanation:
First, S must be 4, as if S was 5 the sum would be a 4 digit number.
T+N should be greater than 10 as we want to find the maximum.
Similarly, A+U must be greater than 10, making O equal to 9
We know that A+U-10 = T+N if T+N is less than 10 -- if T+N is greater than 10, A+U-10 = T+N - 10
Writing a quick python script that's not the cleanest nor most concise, I have
import pandas as pd
sols = []
sols_combos = []
num_sols = 0
for a in range(0, 10):
for u in range (0,10):
for t in range(0,10):
for n in range(0,10):
if (len({a,u,t,n}) == 4) & (4 not in {a,u,t,n}) & (9 not in {a,u,t,n}):
if (a+u >= 10):
if (t+n >= 10):
if ((a+u-10) == (t+n-10)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
else:
if ((a+u-10) == (t+n)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
list_max = [i for i, x in enumerate(sols) if x == max(sols)]
pd.Series(sols_combos).loc[list_max]
as my script.
the maximum I get for F is 5, and the solutions, in terms of A, U, T, and N are as follows:
[7, 8, 0, 5]
[7, 8, 2, 3]
[7, 8, 3, 2]
[7, 8, 5, 0]
[8, 7, 0, 5]
[8, 7, 2, 3]
[8, 7, 3, 2]
[8, 7, 5, 0]
This means that F is 5
Santino traveled 168 miles in 2.5 hours to visit the Kalahari Water Park. What is the unit rate, in miles per hour, that Santino traveled?
Answer:
67.2mph
Step-by-step explanation: you do 168 divide by 2.5
A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below 72. Ricky has recorded his score for each of the 5 rounds.
Strokes - how many times a player swings the club or hit the ball
Round ------------------------------------------------1 2 3 4 5
Number of Strokes Above or Below 72 -5 +6 -2 +4 +5
Write an expression to represent Ricky's total number of strokes for the five rounds.
What was his average number of strokes per round? Show your work.
Answer:
(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5
(B) 73.6
Step-by-step explanation:
The question is clear enough. Kudos!
So there are many players but we're focusing on Ricky.
Ricky has already recorded his score for each of the 5 rounds in the tournament.
The number of strokes in Ricky's record are to be added to or subtracted from a given number 72
ROUND 1: [72 - 5] strokes = 67
ROUND 2: [72 + 6] strokes = 78
ROUND 3: [72 - 2] strokes = 70
ROUND 4: [72 + 4] strokes = 76
ROUND 5: [72 + 5] strokes = 77
(A) Write an expression to represent Ricky's total number of strokes for the five rounds.
Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!
You are already given an abstract number '72' to work with in this question.
It is a fixed quantity which influences the value of strokes for each round.
We will represent this by an algebra, if we have to create the above required expression.
The expression will then be:
∫₁⁵[Xₙ + k] where n ranges from 1 to 5
You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.
X₁ would be -5, X₂ would be +6, X₃ would be -2, X₄ would be +4, X₅ would be +5
K is the constant 72
(B) What was Ricky's average number of strokes per round?
Out of the 5 rounds, the average number of strokes per round would be
[67 + 78 + 70 + 76 +77] ÷ 5
= 368/5 = 73.6
in the year 2010, the luxury bike industry had two bike manufactures splendor and passion with the market shares of 30% and 70%,respect. in 2011 the overall market for the product increased by 20% and a new player yahma also entered and cpatures the 10% of the market share.
Answer: 50%
Step-by-step explanation:
In 2010, there were only 2 bike manufacturers and they had market shares of 30% and 70%.
A new manufacturer joins the market and captures 10% of the market share and Splendor increases to 40% of market share.
Market shares:
Yamaha = 10%
Splendor = 40%
Passion = 100% - 10% - 40%
= 50%
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Find the value of (variable) n if the relationship is linear.
What is 0.42 repeating rounded to the nearest hundredth
Answer:
Step-by-step explanation:
Its 0.42
Find the missing side of each triangle. Round your answer to the nearest tenth if necessary.
Answer:
[tex]1.\ x = 5\ in[/tex]
[tex]2.\ x = 5\ mi[/tex]
[tex]3.\ x = 8.6\ km[/tex]
[tex]4.\ x= 14.1\ mi[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the missing sides
All 4 triangles are right-angled. So, to calculate the missing sides, we apply Pythagoras theorem which states that:
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
Solving (1):
[tex]Hypotenuse = 13[/tex]
So, we have:
[tex]13^2 = 12^2 + x^2[/tex]
[tex]169 = 144 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = 169 - 144[/tex]
[tex]x^2 = 25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{25[/tex]
[tex]x = 5\ in[/tex]
Solving (2):
[tex]Hypotenuse = x[/tex]
So, we have:
[tex]x^2 = 4^2 + 3^2[/tex]
[tex]x^2 = 16 + 9[/tex]
[tex]x^2 = 25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{25[/tex]
[tex]x = 5\ mi[/tex]
Solving (3):
[tex]Hypotenuse = 14.7[/tex]
So, we have:
[tex]14.7^2 = x^2 + 11.9^2[/tex]
[tex]216.09 = x^2 + 141.61[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = 216.09 - 141.61[/tex]
[tex]x^2 = 74.48[/tex]
Take positive square root of both sides
[tex]x = \sqrt{74.48[/tex]
[tex]x = 8.6\ km[/tex]
Solving (4):
[tex]Hypotenuse = 15.4[/tex]
So, we have:
[tex]15.4^2 = x^2 + 6.3^2[/tex]
[tex]237.16 = x^2 + 39.69[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 237.16 - 39.69[/tex]
[tex]x^2= 197.47[/tex]
Take positive square root of both sides
[tex]x= \sqrt{197.47[/tex]
[tex]x= 14.1\ mi[/tex]
Tom wants to order tickets online so that he and three of his friends can go together to a water park. The cost of the tickets is $16.00 per person. This is also a $2.50 one-time service fee for ordering tickets online. Write an expression in terms of n that represents the cost for ordering n tickets online,
Answer:
16n+2.50
Step-by-step explanation:
Amy went bowling at the Links Bowling Center. Shoe rental was $1.75 and games were $2.50 each. She has $20.00. What is the maximum number of games that Amy can bowl?
Answer:
She can play a total of 7 games.
For for x.Help plz:) -2x+6=10
Answer:
x=-2
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−2x+6−6=10−6
−2x=4
Step 2: Divide both sides by -2.
−2x=4
10
Find the measure of b.
90°
b
A 30°
B 90°
120°
D 60°
Answer:
90 degrees
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
you just look at the sides
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Answer:
6570
Step-by-step explanation:
18x365=^
A group of friends were working on a student film that had a budget of $1200. They used 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
0.63
Step-by-step explanation:
What is the 72nd term of the arithmetic sequence {an}={1.4,5.5,9.6,13.7,...}
Answer:
292.5Step-by-step explanation:
Given the sequence 1.4,5.5,9.6,13.7,...
The nth term of am arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
From the given data;
a = 1.4
d = 5.5-1.4 = 9.6-5.5 = 4.1
n = 72 (since we are looking for the 72nd term)
Substitute;
T₇₂ = 1.4+(72-1)(4.1)
T₇₂ = 1.4+71(4.1)
T₇₂ = 1.4+291.1
T₇₂ = 292.5
Hence the 72nd term of the sequence is 292.5
A diagram of a coin is shown.
What is the approximate circumference of the coin? Use 3.14 as an estimate for Pi.
A-21 mm
B-3mm
C-66mm
D-84mm
Answer:
C. 66 mm (using 3.14, it would be 65.94 mm)
Step-by-step explanation:
From what I know, the radius of this coin is 10.5 mm.
The formula for the circumference of a circle is 2πr or πd.
In this case we're using 3.14 for π.
(2 * 10.5) * 3.14
21 * 3.14
21 * 3.14 is the same as 62.8 + 3.14
62.8 + 3.14
65.94 mm
This is close to 66 mm, which was C, so that is the answer.
At a track meet , 10 different runners compete in the 1600m run.
How many different ways are there for the runners to finish? Show your work for full credit.
Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
[tex]A_{x} = x![/tex]
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
[tex]A_{10} = 10! = 3628800[/tex]
There are 3,628,800 different ways for the runners to finish.
I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
5789 he has that much holp this helps
The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 4 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 20 inches
Answer:
The volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]
Step-by-step explanation:
Let r be the radius of cone and h be the height of cone
[tex]\frac{dr}{dt}=2 in/s[/tex]
[tex]\frac{dh}{dt}=-4 in/s[/tex]
We have to find the rate at which the volume of cone changing when r=10 in and h=20 in
Volume of cone
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}\pi (2rh\frac{dr}{dt}+r^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}\pi(2\times 10\times 20\times 2+(10)^2\times (-4))[/tex]
[tex]\frac{dV}{dt}=\frac{1}{3}\pi(400)=\frac{400}{3}\pi in^3/s[/tex]
Hence, the volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]
please help
Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)
Step-by-step explanation:
4(2a + 5) that's the answer
Is y=x^2 a fraction?
Answer:
Nope
Step-by-step explanation:
It's a exponent, x^2 means x*x so it's actually a function
I need help right now
Answer:
I'm too late aren't I
Step-by-step explanation:
Ralph Chase plans to sell a piece of property for $160000. He wants the money to be paid off in two ways −a short-term note at 9% interest and a long-term note at 7% interest. Find the amount of each note if the total annual interest paid is $12900.
The amount of the 9% note is $___ and the amount of the 7% note is $___?
Answer:
9%=15,000
7%=12,000
thats what i think.
Answer:
The amount of 12% note is $90,000
The amount of 9% note is $80,000
Step-by-step explanation:
Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"
Selling price = $170,000
Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)
Given total annual interest = $18,000
Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)
18,000 = 0.12x + 0.09*(170000 - x)
18,000 = 0.12x + 15,300 - 0.09x
18,000 = 0.03x + 15,300
0.03x = 18,000 - 15,300
0.03x = 2,700
x = 2,700/0.03
x = 90,000
So, the amount of 12% note is $90,000
So long term paid money = $170,000 - $90,000 = $80,000
So, the amount of 9% note is $80,000
Step-by-step explanation:
The GCF of 72 and 60 is 12 plz hurry I need it done today!!!
Answer:
its 12 :)
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
THE ANSWER IS 12
BRAINILIEST PLEASE4. The highest paid weekly wage of a group of
employees is $105. If the range of wages is
$27.50, how much does the lowest paid
employee receive?
Answer:
77.5
Step-by-step explanation:
105-27.5
#3-10: Record the letter of the fraction card that is equivalent to the decimal representation
below. (Not all of the fraction cards will be used.)
3
3. 0.14
A 8
(E 4
4
12
B 5
4.0
5
lo
5
5. 0.8
C2
3
6
H 1
3
6. 0.76
D7
7
50
7. 0.03
(F 5
3
G 19
00
J 1
25
8. 0.625
33
9
9. 0.6
(1 2
(K 4
ט |ם.
+10
10.0.3
10
Answer:
below. (Not all of the fraction cards will be used.)
3
3. 0.14
A 8
(E 4
4
12
B 5
4.0
5
lo
5
5. 0.8
C2
3
6
H 1
3
6. 0.76
D7
7
50
7. 0.03
(F 5
3
G 19
00
J 1
25
8. 0.625
33
9
9. 0.6
(1 2
(K 4
ט |ם.
+10
10.0.3
what decimal is equivalent to 27/32
Answer:
0.8438
0.8438 is a decimal and 84.38/100 or 84.38% is the percentage for 27/32.
Step-by-step explanation:
Answer:
0.84375
Step-by-step explanation:
Evaluate the expression 2x + 3; if x = 3
Answer: 9
Step-by-step explanation:
2x+3
2(3)+3
6+3
9
We know the value of x. We just have to substitute 3 in x in the equation.
2(3) + 3
6 + 3
9
9 is your answer. I hope this helps! Let me know if you need more help!
2/3z = 4 1/4
Solve For Z ?
Answer: 51/8
Step-by-step explanation:
Two values, x and y, are the same distance from zero on the number line. the value of x is negative and the value of y is positive. what is x + y
Answer:
x + y = 0
Step-by-step explanation:
x and y are both the same distance from 0 on the number line. That means they are additive inverses (or opposites). Knowing this law, additive inverses always equal 0.
can some one help me its all the points i have :(
Answer:
-2
Step-by-step explanation:
