Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
Find the unit rates
Compare the unit rates
-help please-
Answer:
Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
The car is faster
Find the unit rates
The car is going 30 feet in 1 second(600 divide by 20 = 30)
The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)
Compare the unit rates
30 > 25
Step-by-step explanation:
Answer:
Hakim's car is faster.
Step-by-step explanation:
Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.
So for Hakim, the unit rate are 30 feet per second because 600/20 = 30
For Andre, the unit rate is 25 feet per second because 600/24 = 25
Hakim's car goes faster because 30 is greater than 25.
Work out the cost of 12kg of potatoes and 1 1/2kg of carrots
Answer:
The cost is #15.90
Step-by-step explanation:
See comment for complete question
Given
[tex]P \to Potato[/tex]
[tex]C \to Carrot[/tex]
[tex]3P + 2C = 5.08[/tex]
[tex]P = 1.24[/tex]
Required
[tex]12P + 1\frac{1}{2}C = ??[/tex]
First, we solve for C
Substitute [tex]P = 1.24[/tex] in [tex]3P + 2C = 5.08[/tex]
[tex]3 * 1.24 + 2C = 5.08[/tex]
[tex]3.72 + 2C = 5.08[/tex]
Collect like terms
[tex]2C = 5.08 - 3.72[/tex]
[tex]2C = 1.36[/tex]
Solve for C
[tex]C = \frac{1.36}{2}[/tex]
[tex]C = 0.68[/tex]
So, we have:
[tex]P = 1.24[/tex]
[tex]C = 0.68[/tex]
[tex]12P + 1\frac{1}{2}C = ??[/tex] becomes
[tex]12P + 1\frac{1}{2}C = 12*1.24 + 1\frac{1}{2}*0.68[/tex]
[tex]12P + 1\frac{1}{2}C = 14.88 + 1.02[/tex]
[tex]12P + 1\frac{1}{2}C = 15.90[/tex]
A motorboat travels 244 kilometers in 4 hours going upstream and 665
kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
Rate of the current: 19 kilometers per hour
Rate of the boat in still water: 80 kilometers per hour
What is the geometric mean of 12 and 15?
Answer:
The geometric mean is 9.798
Step-by-step explanation:
Answer:
13.416407864998738
please help me please i really need help please help me please
9514 1404 393
Answer:
26.2 in³
Step-by-step explanation:
The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.
r = d/2 = (5 in)/2 = 2.5 in
The volume is ...
V = 1/3πr²h
V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³
The volume of the cone is about 26.2 in³.
i need help, this is pythagorean theorem !! i do not understand
In mathematics, the Pythagorean theorem is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. State that the area of the square whose side is the hypotenuse
Fórmu
Name a genre or tag (all except shonen, shojo, and maybe josei) and I'll recommend some anime.
I don't want anime recommendations myself rn, please don't be stubborn about this. Just say something random and take the points if you're gonna try recommending some or not take this seriously.
Answer:
hiro ..................
Carlos has chosen 12 different CDs he would like to buy: 4 are rap music, 5 are country, and 3 are heavy metal. He has only enough money to buy 5 of them (each CD costs the same price). So he selects 5 of them at random. What is the probability that his purchase includes at least one CD from each of the three genres.
Answer:
The probability is 0.7449
Step-by-step explanation:
Given
[tex]n = 12[/tex] ---- total
[tex]r = 5[/tex] --- selection
[tex]Genre =\{Rap(4), Country (5), Heavy\ metal (3)\}[/tex]
Required
Probability of buying at least 1 of each genre
First, we calculate the total possible selection.
To select 5 CDs from a total of 12, we use:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
[tex]^{12}C_5 = \frac{12!}{(12 - 5)!5!}[/tex]
[tex]^{12}C_5 = \frac{12!}{7!5!}[/tex]
Expand
[tex]^{12}C_5 = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]
[tex]^{12}C_5 = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]
[tex]^{12}C_5 = \frac{95040}{120}[/tex]
[tex]^{12}C_5 = 792[/tex]
So, the total selection is:
[tex]Total = 792[/tex]
To select at least 1 from each genre, there are 6 possible scenarios.
And they are:
[tex]\begin{array}{ccc}{Heavy\ Metal (3)} & {Rap (4)} & {Country(5)} & {3} & {1} & {1} & 2 & {1} & {2} & {2} & {2} & {1}& {1} & {2} & {2}& {1} & {3} & {1}& {1} & {1} & {3} \ \end{array}[/tex]
The possible selections for the given scenario is:
[tex]Possible = ^3C_3* ^4C_1 * ^5C_1 +^3C_2* ^4C_1 * ^5C_2 +^3C_2* ^4C_2 * ^5C_1 +^3C_1* ^4C_2 * ^5C_2 +^3C_1* ^4C_3 * ^5C_1 +^3C_1* ^4C_1 * ^5C_3[/tex]
Using a calculator, we have:
[tex]Possible = 1*4*5 +3*4*10 +3*6*5 +3*6*10+3*4*5+3*4*10[/tex]
[tex]Possible= 20 +120 +90 +180+60+120[/tex]
[tex]Possible = 590[/tex]
The probability is then calculated using:
[tex]Pr = \frac{Possible}{Total}[/tex]
[tex]Pr = \frac{590}{792}[/tex]
[tex]Pr = 0.7449[/tex]
If the 3rd term of an arithmetic sequence is 2 and the 17th term is -40, find the 7th term
Answer:
-10
Step-by-step explanation:
t3 = a1 + (n - 1)*d
t3 = a1 + (3 -1)*d
2 = a1 + 2d
t17 = a1 + (n - 1)*d
-40 = a1 + 16d Put the first condition underneath and subtract
2 = a1 + 2d
-42 = 14 d
d = - 3
2 = a1 + 2*(-3)
2 = a1 - 6 Add 6 to both sides
2 + 6 = a1
a1 = 8
Now you want the 7th term
t7 = a1 + (n - 1)*d
t7 = 8 + (7 - 1)*d
t7 = 8 + 6*(-3)
t7 = 8 - 18
t7 = - 10
What is the volume of one cylinder ??
Lisa plays soccer 3 out of the 7 days of the week. How many possible schedules are there to play
soccer on Monday or Tuesday or both.
Ex: 5
Answer:
There are 25 possible schedules.
Step-by-step explanation:
The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Monday but not Tuesday:
Monday(1) and 2 out of the remaining 7 - 2 = 5. So
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Tuesday but not Monday:
Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Monday and Tuesday:
Monday and Tuesday(1), plus one out of the remaing 5 days. So
[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]
Total:
10 + 10 + 5 = 25
There are 25 possible schedules.
Wendy Wilson planned to bake a triple recipe of chocolate chip cookies for her office party. If the recipe calls for 2 3/4 cups of flour, how many cups will she need? Need answer now!
Answer: 8 1/4 cups
Step-by-step explanation: All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.
What is m∠4 + m∠5 + m∠6?
180
270
300
360
Answer:360°
Step-by-step explanation:
Answer: D:360
Step-by-step explanation:
Please Help! need this to pass :/
Answer:
c=66°
Step-by-step explanation:
a=51°
51+63=114°
180-114°= 66°
Answer:
66
Step-by-step explanation:
a° = 51° (corresponding angles)
a = 51
a° + c° + 63° = 180° (interior angle sum postulate of a triangle)
51° + c° + 63° = 180°
c° + 114° = 180°
c° = 180° - 114°
c° = 66°
c = 66
The circumference of a circle is 22 meters. What is the approximate
diameter of the circle?
A 7 meters
B 11 meters
C. 19 meters
D. 69 meters
Equations of Exponential Functions
A 30-gram sample of bacteria has some unknown disease that is killing the bacteria. The amount of bacteria is measured each day and the results are shown in the table.
What is the amount of bacteria on the 8th day?
a. On the eighth day, the bacteria is 1.72 grams
b. On the eighth day, the bacteria is 19.90 grams
c. On the eighth day, the bacteria is 6.23 grams
d. On the eighth day, the bacteria is 6271.89 grams
Please select the best answer from the choices provided
Answer:
B. On the eighth day, the bacteria is 19.90 grams
Step-by-step explanation:
I calculated it logically
ANSWER FAST I JUST NEED ANSWER HURRY PLSSSS!
Answer:
1?
Step-by-step explanation:
im not sure im prolly wrong and not fast enough
Kenny loves to drink milk. He drinks 20 quarts of milk in 5 weeks. How many quarts of milk will Kenny drink in 12 weeks?
Answer:
32 mutipliy 20 and 5
Step-by-step explanation:
Consider a geometric sequence whose first term is 64 and fourth term is 125.
Part A: Determine the value of the common ratio.
Part B: Write the recursive formula for this sequence.
Part C: Write the explicit formula for this sequence.
Please help!
Answer:
Given a GP where:
a₁ = 64a₄ = 125Part AFormula for nth term:
aₙ = a₁rⁿ⁻¹a₄ = a₁r³125 = 64r³r³ = 125/64r = 5/4Part BRecursive formula
a₁ = 64aₙ = (5/4)aₙ₋₁Part CExplicit formula:
aₙ = 64(5/4)ⁿ⁻¹Find the missing side. Round to
the nearest tenth.
10
33°
х
x = [ ?
]
Answer:
x = 15.4
Step-by-step explanation:
Reference angle = 33°
Opposite side reference angle = 10
Adjacent side = x
Therefore, we would apply the trigonometric function, TOA.
Thus:
Tan 33° = Opposite/Adjacent
Tan 33° = 10/x
Multiply both sides by x
x*Tan 33° = 10
Divide both sides by Tan 33°
x = 10/Tan 33°
x = 15.3986496
x = 15.4 (nearest tenth)
harry has a poster that is 3 feet wide he wants to draw 1/6 of a foot wide how many columns can gerry draw
Letters A, B, D and E represent numbers on the number line. The number line has evenly spaced marks
Question 12 (include your answers for part one and two in the space below)
Part 1. Find the value of |C|
Part 2. Describe where are you would place this value on the number line above and explain why
Answer:
0.5
Step-by-step explanation:
sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long
HELP ASAP
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters.
Which equation could be used to find the surface area of the net of the triangular prism shown?
SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2)
SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answer:
C. SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
C.
Answer:
It's C
Explanation:
I got it correct on Edge
Can y’all help me?!
Answer:
4 is next in NUMBER OF DAYS
9 is the first in NUMBER OF TADPOLES
41 is the 2nd answer ON NUMBER OF TADPOLES
Step-by-step explanation:
hope this helps a lot!!
Please help meeeeee!!!!!!!
Answer:
g
Step-by-step explanation:
3x+1<2+4x
-1<x
Answer:
x > -1
Step-by-step explanation:
3x + 1 < 2 + 4x
-x < 1
x > -1
Linda bought a total of 12 lb of flounder and shrimp and paid $20 for the flounder and $20 for the shrimp. If the price per pound of the shrimp is twice that of the flounder, how many pounds of each did she buy?
Select one:
a.
8 lb shrimp and 4 lb flounder
b.
4 lb shrimp and 8 lb flounder
c.
6 lb shrimp and 6 lb flounder
d.
2 lb shrimp and 10 lb flounder
Answer:
B: 4 lb shrimp and 8 lb flounder
Step-by-step explanation:
if the price of shrimp is twice the price for flounder, you will have twice as much flounder as you have shrimp, so in terms the only answer that applies to this is B.
What is answer too 12a over 2
Answer:
6a
Step-by-step explanation:
A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The top of the roof is 29 feet from the ground. The fence pole is 8 feet high. How many feet of banner rope does he need to reach from the rooftop to the fence pole?
Answer:
29ft
Step-by-step explanation:
HELP PLEASE NO LINKS!!!!!!!!
6. Which of the following equations does the model below represent?
Answer:
Step-by-step explanation:
Note the shiding squares ( 12 of 16) represent 3/4. And you are taking a quarter of that. The equation is
[tex]\frac{3}{4}\div4=\frac{3}{16}[/tex]
4.
Calculate 30% of 500 kg
Answer:
150 kg
Step-by-step explanation:
30% of 500 kg
[tex]=0.30*500[/tex]
[tex]=150[/tex]
150 kg