Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Alex takes 30 minutes to travel 50 km in her car. Roy travels for 1 hour and 20 minutes on his train. How far does Roy travel to 2 dp (decimal places)?
Answer: 333.33km
Step-by-step explanation:
Average speed is calculated as:
= Distance / Time
Since Alex takes 30 minutes to travel 50 km in her car, Alex average speed will be:
= 50km / 30minutes
= 50km / 0.5hour
= 100km/hour
Since Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Roy's average speed will be:
= 100 ÷ 2/5
= 100 × 5/2
= 250km/hour
Since Roy travels for 1 hour and 20 minutes on his train, his distance travelled will be:
= Speed × Time
= 250 × 1 hour 20 minutes
= 250 × 1 20/60
= 250 × 1 1/3
= 250 × 4/3
= 1000/3
= 333.33km
Roy travels 333.33km
Gina is four years younger
than twice David's age. Gina
is 18. How old is David?
Answer:
44
Step-by-step explanation:
Gina is four years younger so
18+4=22
since its twice davids age
22×2=44
Please with steps urgent
There you go. I think that's how it's done. Hope it's useful.
Identify the equation modeled below,and then find its solution
Answer:
H
Step-by-step explanation:
4x-4=-x-1 = 3/5 or .6
Please answer!
What is the mean of this data set?
Answer:
ᴅ. 35.6Step-by-step explanation:
#CᴀʀʀʏOɴLᴇᴀʀɴɪɴɢHELP HELP ASAP PLEASE
Answer:
15
Step-by-step explanation:
Pythagorean Theorem
If BC = 6 and AD = 5, find DC.
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Answer:
Step-by-step explanation:
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Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 3 + 15 A) 1(3 + 5) B) 1(3 × 5) C) 3(1 + 5) D) 3(1 × 5)
Answer:
GCF of the numbers is 3 and it can be written as 3(1+5)
Step-by-step explanation:
Given the expression 3+15
First we need to find their factors
3 = 3×1
15 = 3×5
Since 3 is common to both factors, hence the GCF is 3
Factorize
3+15
= (3×1)+(3×5)
Factoring 3 out
= 3(1+5)
Hence the GCF of the numbers is 3 and it can be written as 3(1+5)
What is the GCF of 36 and 68?
Answer:
4
Step-by-step explanation:
Answer:
The greatest common factor of 36 and 68 is 4
Step-by-step explanation:
36÷4=9
68÷4=17
8 · (x · 4) simplified
Answer:
8x · 32
Step-by-step explanation:
u multiply the 8 and the x together and it gets 8x
then u multiply the 8 and the 4 and then ur done
Answer:
3.2x
Step-by-step explanation:
Is 72 km/h faster than 20 m/s
Answer:
no.both are equal.
Step-by-step explanation:
72 km/h=72000/(60×60)=20m/s
Answer:
They are equal
Step-by-step explanation:
72 Kilometers per Hour equals the same as 20 Meters per Second.
Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 17. What is the probability that a certain rope will break before being subjected to 130 pounds?
Answer:
0.961
Step-by-step explanation:
To answer this, find the area under the standard normal curve to the left of 130 pounds:
Using the function normalcdf( on a TI calculator, we get:
normalcdf(-1000, 130, 100, 17) = 0.961
Please answer correctly! I will Mark you Brainliest!
Answer:
the height is 9
Explanation:
8 × 10 = 80
720 ÷ 80 = 9
What is the value of r in the following diagram.
9
6
Answer:
r = 3.75
Step-by-step explanation:
Using Pythagoras' identity in the right triangle ABC
AC² = BC² + AB²
(r + 6)² = r² + 9²
r² + 12r + 36 = r² + 81 ( subtract r² from both sides )
12r + 36 = 81 ( subtract 36 from both sides )
12r = 45 ( divide both sides by 12 )
r = 3.75
On a field trip to the farm, students counted a combined total of 27 sheep
and cows. There are 15 more sheep than cows. If s represents the number
of sheep and c represents the number of cows, which system of equations
correctly represents this situation
Answer:
s = c + 15
s + c = 27
substitute for s:
(c + 15) + c = 27
2c = 12
c = 6
s = 21
The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given that,
Combined total of sheep and cows = 27
Number of sheep = Number of cows + 15
Let s represents the number of sheep and c represents the number of cows.
s + c = 27
s = c + 15 ⇒ s - c = 15
Hence the system of equation is s + c = 27 and s - c = 15.
Learn more about System of Equations here :
https://brainly.com/question/24065247
#SPJ2
the measure of an angle is 49 what is the measure of its complementary angle
Answer:
the complementary angle is 41°
Step-by-step explanation:
49+41=90
PLEASE hELp ASAP WILL MARK BRAINLIEST!
image of the question down bellow which on is the correct option?
Answer:
Its b
Step-by-step explanation:
The number line is saying people spend 70 n below.
PLSSS HELP EASYY MATH HELPPP
How many of each different 2-D shapes do you see?
There are 40 students in a class. Boys makeup 40% of the class. If 25% of the boys wearshirt jacs, how many boys wear shirt jacs?
Answer:
6
Step-by-step explanation:
Find out how many boys makeup the class.
100% = 40
1% = 40 ÷ 100 = 0.40
40% = 0.40 x 40 = 16
Find 25% of the class.
25% = 0.40 x 25 = 10
40 - 25 = 15% of the boys wear shirt jacs.
16 - 10 = 6
please with this problem I'm not sure what to put
..............
6. Alain, Betina, Coley, and Dimitri are artists. One is a potter, u painter, one a pianist, and one a songwriter. Alain, and Coley saw the pianist perform. Betina and Coley have modeled for the puinter. The writer wrote a song about Alain and Dimitri. Bettinn is the potter. Who is the songwriter?
Answer:
discriminatory laws influence the way we think about others in our
society
Step-by-step explanation:
what is the first page in a geography book?
Answer:
uh i think its a uhhh carrotttt
Step-by-step explanation:
please help will mark brainliest for right answer!
-thanks <3
Answer:
The answer is B
Step-by-step explanation:
If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?
Answer:
450
Step-by-step explanation:
i think thats right
La suma del triple de un número y nueve veces el mismo número es igual a 120. Hallar el número. 3) Hallar el valor del número z sabiendo que la quinta parte de su tercera parte es igual a 3. 4) Andrés tiene seis veces la edad de Jaime aumentada en 18 e igualada a 36. Hallar la edad de Jaime.
Answer:
El primer número es 10.
z = 45.
La edad de Jaime es de 3 años.
Step-by-step explanation:
Estos problemas los podemos resolver planteando las ecuaciones:
El triple del número (3X) + 9 veces el mismo número (9X) = 120
3X + 9X = 120
12X = 120
X = 120 / 12
X = 10
El primer número es 10La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3
z/15 = 3
z = 456Jaime + 18 = 36
6Jaime = 18
Jaime = 3
La edad de Jaime es de 3 añoscan someone please help
find the slope/rate of change on graph
a. 1/3
b. 3
c. 30
d. 10
Answer:
m
Step-by-step explanation:
What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3
Answer:
H) -6/13
Step-by-step explanation:
To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:
[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]
So, Option H is correct.
find the least common denominator for the fractions: 5/5, 1/10, 3/4
Answer:
20
Step-by-step explanation:
Let's list some multiples of each denominator
5: 5, 10, 15, 20, 25, 30
10: 10, 20, 30, 40, 50, 60
4: 4, 8, 12, 16, 20, 24, 28
The common denominator (LCD) is 20
So lets input
20 / 20, 2/20, 15/20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLZ HELP ITS DUE NOW NO LINKS
Answer:
show the options
Step-by-step explanation:
Brainliest?