Answer: 5 hours
Step-by-step explanation: 380/76
The bus will take 5 hours to reach Montreal from New York.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Distance between Montreal to New York = 380 miles
Speed of bus = 76 miles per hour
76 miles ⇒ 1 hour
1 mile ⇒ 1/76 hour
Multiply by 380 on both sides
380 miles ⇒ 380/76 hours = 5 hours.
Hence "The bus will take 5 hours to reach Montreal from New York".
For more information about ratio and proportion,
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What is the largest integer n such that (n^2-38) / (n +1) is an integer?
a. 36
b. 38
c. 72
d. 76
e. None of these
Answer:
a. 36
Step-by-step explanation:
for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.
we check with the options
option a n=36 sutisfies the above condition.
(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36
Write this sentence as an equation?
Six less than 4 times a number gives 18
Answer:
6-4 times x=18
btw x=9
Answer:
4x - 6 =15
Step-by-step explanation:
I will use "x" as our variable to represent the number we are trying to find.
Let's take the problem piece by piece.
Six less than four times a number.
If we are using x to represent our number, we know that when we do four times that number we are multiplying x times 4, which is the same as writing "4x."
Next we know that we are taking six less than 4x. Six less than means we will be subtracting 6 from our 4x, which is the same as writing 4x - 6.
Finally, we know that six less than 4x (4x - 6) equals 15. Now we have a full equation:
4x - 6 =15
5/6 / 1/3 equals what
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Division of Fractions
Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.
Given the fractions:
[tex]\frac{a}{b}[/tex]
[tex]\frac{c}{d}[/tex]
The division:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]
can be done by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are given the fractions 5/6 and 1/3. Their division is:
[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]
Simplifying:
[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]
Answer: [tex]\mathbf{\frac{5}{2}}[/tex]
a local club lottery offers a standard prize of $50 and there is one drawing each week. If there is no winner drawn, the prize triples for the following week. This pattern continues until the prize is won. If no wins in the first 5 weeks, how much will the prize be for week 6?
Answer:
300
Step-by-step explanation:
Every week you add 50 so 50x6 is 300
The sum of 1 and a number x
9515 1404 393
Answer:
1 + x
Step-by-step explanation:
A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...
1 + x
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.
Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
convert 60mph to feet per minute
Ashley ran from home to school in 10 minutes. what has her average speed, if the distance between her house and her school is 1.5 miles?
Answer:
0.15 miles per minute
Step-by-step explanation:
Average speed is in distance over time, so you could write:
1.5 miles / 10 minutes
Now, simplify:
.15 miles per minute
(hope this helps :-D)
Answer:
.15 miles per minute
Step-by-step explanation:
convert 5/4 into a decimal
Answer:
Step-by-step explanation:
The answer is 1.25
2.S.3 In a behavioral study of the fruitfly Drosophila melanogaster, a biologist measured, for individual flies, the total time spent preening during a 6-minute observation period. The following are the preening times (sec) for 20 flies:54 34 24 10 16 52 76 33 31 46 24 18 26 57 32 25 48 22 48 29 19 (a) Determine the mode (s). (b) Calculate the range. (c) Construct a dotplot of the data
Answer:
Step-by-step explanation:
The raw data given can be properly expressed by a frequency table. The frequency table formed from the data given is attached to this answer.
From the frequency table,
(a) The modes of the data are 24 and 48. Thus, the data is said to be bimodal.
(b) Range = height value - least value
= 76 - 10
= 66
Range = 66
(c) A dot plot is a pictorial graph of the plot of the given data. The plot of the given data is attached to this answer.
A store receives customer satisfaction ratings that range between 0 and 100. In the first 13 ratings the store received, the average customer satisfaction rating was 75. What is the least value the store can receive for the 14th rating and still be able to have an average of at least 84 for the first 21 ratings?
Answer:
Step-by-step explanation:
From the given information:
For the first 10 ratings, the average value is 75.
For maintaining the average of 84 ratings for the first 21st rating, we have:
Total rating for 21 units = 84 * 21 = 1764
For 10 units = 84 *10 = 840
Now, the initial 10 unit average = 75 * 10 =750
The first 10 unit + last 10 unit = 840 + 750 = 1590
The difference = 1764 - 1590 =174 unit
So, in the 14th rating, he has to go with 174 units.
What is the measure of an interior angle of a regular 10-gon?
Answer:
Step-by-step explanation:
Solve the inequality. Graph the solution.
p-4<2
help plz
Answer:
the inequality would be p<6
the graph is below.
Step-by-step explanation:
Here's how to solve the equation:
p-4<2
add 4 to both sides
p<6
The English translation of the inequality would be "p is less than 6".
please see below for the graph.
Hope this helps! :)
What is the depth of the soup ( the area shaded) 20cm is the diameter?
Answer:
8 cm
Step-by-step explanation:
Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-
⇒ cos 37° = AB / AC
⇒ cos 37° = AB / 20 cm
⇒ 4/5 = AB / 20 cm .
⇒ AB = 4/5 * 20 cm .
⇒ AB = 16 cm .
Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .
Hence the depth of the soup is 8 cm .please answer correctly no trolls!
Answer:
Yes
Step-by-step explanation:
16.5-15.<3.8
Question 14 (5 points)
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
Question 14 options:
A)
y = ½x + ½
B)
y = –½x + ½
C)
y = 2x + 2
D)
y = –½x – ½
Write an equation of the line that
passes through the points (0,-5)
and (4,7).
Answer:
y = 3x - 5
Step-by-step explanation:
It passed through both points because of the y intercept and also the x intercept or contant matches up with the points
I need number 7 and 8 answered
What is 5x-2y=4 6x+3y=-6
Answer:
x = 0 , y = -2
Step-by-step explanation:
__ + 15 - 15 = 21
what is the blank number
Answer:
Step-by-step explanation:
21 is the blank number as +15 and -15 cancels out
Answer:
the answer is 21
Step-by-step explanation:
Which is the measure of ∠XYZ?
Answer:
you get the measure of angle XYZ by adding the measures of angles XY? and ZY?
70 +35 = 105 degrees is the measure of angle XYZ
Please help ASAP!!!!
Answer:
E. All real values of x
Step-by-step explanation:
If you were to graph this function, it would look like a diagonal line going on seemingly forever. Therefore, the domain of h would be all values of x.
Solve this equation
S=5t+45
Answer:
t= 1/5s-9
Step-by-step explanation:
use math papa next time ;)
What expression is equivalent to 24x - 9
Answer:
3(8x-3)
Step-by-step explanation:
Ravi buys pounds of flour. How many ounces of flour does he buy?
There is 16 ounces in each pound, how ever many pounds it is multiply 16 by the number of pounds,
Step-by-step explanation:
how ever many pounds it is multiply 16 by the number of pounds,
Which equation represents a line parallel to the line shown on the graph?
Step-by-step explanation:
b
help pls
(screenie below)
Answer:
I thinks the answer is D nvm it's D
what is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15
Answer:
mean: 19.66667
mode: 12
median: 18
range: 37
A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?
A. $2.35
B. $3.85
C. $5.45
D. $6.95
Choose all the expressions that are equivalent to 3(2 + 11)
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22