Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train
9514 1404 393
Answer:
56 mph, 26 mph
Step-by-step explanation:
The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...
s + (s+30) = 82
2s = 52 . . . . . . . . . . subtract 30
s = 26 . . . . . . . . . divide by 2
s +30 = 56 . . . the speed of the other train
The speeds of the two trains are 56 mph and 26 mph.
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
х
B
L
D
с
30
O A. 30.1
B. 6.5
C. 14
O D. 16
Answer:
D. 16
Step-by-step explanation:
The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
hi, can you help me here pls?
...
...
how to convert 111101 from base 2 to base 10
Answer:
61
Step-by-step explanation:
So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below
for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.
Answer:
two triangles, the top of one figure with the bottom of the other figure, 8 and 4
Step-by-step explanation:
I am not sure if it's right but I hope it is!
Which fractions are equivalent to 1012?
[tex]50/60[/tex]
That should be your answer
Answer:
Hello, There! I'm here to help!
QuestionWhich fractions are equivalent to 10/12?
AnswerAccording to The Question I'm guessing you mean 10/12
If so The Following Fractions are Equilvalent to 10/12
1. 20/24
2. 30/36
3. 40/48
5. 50/60
Step-by-step explanation:
To get Eqilvalent You Can Multiply Number to the fractions to find out what's Equilvalent
Therefore, I hope this helps you!
Joe's employer will reimburse him $0.17 per miles driven. If Joe drives 104.43 miles on a business trip, what is his mileage reimbursement?
Answer:
17.75
Step-by-step explanation:
You can rewrite the sentence as
$0.17*104.43=
Which is 17.7531
Round it money which is 17.75
Therefore 17.75 is your answer
Hope this helps!
Write the answer to 6 2/5 × 4 in improper fraction form AND mixed number form.
Improper fraction:
-------------------------
Mixed number: -------------------------
(whole number + fraction number
Answer:
6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.
32/5 * 4/1 = 128/5
128/5 is the improper fraction
and the mixed number is 25 3/5
Step-by-step explanation:
6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.
32/5 * 4/1 = 128/5
2.Pleas can someone answer!
Answer: A, A, C
Step-by-step explanation:
Educated Guess because none of them are going to be zero so it's either A or C but the point has a negative y so to plug it all in all of them have to be negative ex. -1 + -1 + -1 =-3
the x is -1 so both have to be negative in order to get -3
PLEASE HELP ME SO I CAN GRADUATE!!!!!
What is the y-intercept of the line passing through the point (4,-5) with a
-2
slope of ?
A.
41
9
O
B.
O
O
D.
49
9
Answer:
A: -41/9
Step-by-step explanation:
Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.
-5 = -1/9(4) + b
-5 = -4/9 + b
Solve for b:
b = -41/9
Our equation: y = -1/9(x) - 41/9
Homework help!!!!!!!
Answer:
r = -9
Step-by-step explanation:
the less the negative number is the more it is .
I need to learn about percent, proportion, and mixture word problems
Answer:
Percent:
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
X and Y are numbers and P is the percentage:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Mixture:
Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.
Proportion:
Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.
Step-by-step explanation:
Hope This Helps!
You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?
Answer:
208 ounces in 13 pounds
Step-by-step explanation:
I need help with this question. Thank you!
Answer:
gradient is the same as slope The gradient or slope of line A = 3/1 or 3
The gradient of line B is -4/1 or -4
gradient or slope = rise over run = y/x.
if the line goes up from the left to the right, The slope is positive.
if the line goes down from the left to the right, The slope is negative
Can someone please help me with this problem
Answer:
A is the right one
Step-by-step explanation:
if not I'm sorry I'm here to help
can anyone heelp me pls
Answer:
I think it's b.
Step-by-step explanation:
b. ,. ....
Order the expressions by choosing >,<, or =
Answer:
1. <
2. <
3. >
Step-by-step explanation:
Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.
1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2=32[/tex]
[tex]=32[/tex]
[tex]2^2 = 2\times2[/tex]
[tex]2\times2=4[/tex]
[tex]32\times4=128[/tex]
[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]
128 < 1024
2. [tex]2^2=2\times2=4[/tex]
[tex]5^2=5\times5=25[/tex]
[tex]4\times25=100[/tex]
[tex]=100[/tex]
[tex]2^{10} = 1024[/tex]
100 < 1024
3. [tex]2^5 = 32[/tex]
[tex]5^2=25[/tex]
[tex]32\times25=800[/tex]
[tex]10^2 = 10\times10 = 100[/tex]
800 > 100
Hope this helps.
What is the value of 5 in 102,587?
Answer:
Value of 5 is 500
From right to left ones, tens, hundreds, thousands, ten thousands, hundred thousands
5 is in the hundredth place
HOPE THIS IS WORTH IT :)WILL GIVE BRAINLIEST!... whats the unit rate of the equation(HAVE TO SHOW HOW YOU GOT ANSWER)
y=-4x
Answer:
-4
Step-by-step explanation:
The form of a liner equation is y=mx+b. b is 0 in this example. So we are left with y=-4x
-4 is the m, the slope. It is also called the unit rate of change. It tells us how much y changes for each 1x unit.
y x
0 0
-4 1 One unit changes y by -4 : The unit rate of change.
-8 2
"The sum of a number and 7 divided by -3, is 2."
At the grocery store, 6 pints of ice cream cost $12.54. How much would 40 pints of ice cream cost?
Answer:
$83.60
Step-by-step explanation:
to find the answer you need to know the price of one pint (unit rate) so we divide 12.54 by 6.
12.54 ÷ 6 = 2.09
then we multiply that by 40
2.09 x 40 = 83.60
a class has 28 students. The ratio of girls to boys is 4:3. How many girls
Answer:
let
no of girls be 4x & boys be 3x
or, 3x+4x=28
or, 7x=28
x=28/7=4
hence no of girls = 4x=4*4= 16
when we went shopping I had $15 i lent $5 and spen $8 then borrow $12 from down at the end did I have money in my purse or did I owe money how much
Answer:
Step-by-step explanation:
What is the first whole number greater than 11?
Answer:
4
Step-by-step explanation:
The √11 is ≈ 3.3166....
So the first whole number GREATER than 3.3166 is 4
-Chetan K
Answer:
√11 = 3.3166
The first whole number greater than 3.3166 is 4
Hope This Helps!
Logan and his father each have a sandwich and a drink for lunch at a restaurant. A sandwich costs $5.25 and a drink costs $1.75. Logan's father leaves a 20% tip. What is the amount of the tip?
Answer:
$1.4
Step-by-step explanation:
$5.25 + $1.75 = $7
20/100 × $7
= 20× 7 /100
= 140/100
= $1.4
I when I'm 10, my brother is half of my age. How old is my brother if I am 44 now
Answer:
Step-by-step explanation:
A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.
Answer:
39 years old
It could be;
10 ÷ 1/2 = 5
Age difference= 10 - 5= 5 years
So, 44 - 5 = 39 years old
How do I find the standard deviation?
Answer:
Step-by-step explanation:
Work out the Mean,
Then for every number, subtract the Mean and square the result.
Then work out the mean of those squared differences
and then take the square root of that.
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes up heads half of the trials or more. Give answer to at least three decimal points.
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.4q = 1 - p = 0.6n = number of trials = 100P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
Using a binomial probability calculator :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
Learn more :https://brainly.com/question/12474772
Two more than the quotient of a number and 4 equals 7.
Answer:
20
Step-by-step explanation:
we can set up the equation like this:
n/4 + 2 = 7
subtract 2 from both sides
n/4 = 5
multiply 4 to both sides and you get...
n = 20