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erastova [34]
3 years ago
12

Solve the following word problem. A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rat

e of 40 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y?
______ miles
Mathematics
2 answers:
Vladimir [108]3 years ago
6 0
Your answer would be 900 miles do you need to explain me to explain how I got the answer or do you just need the answer. glad I could help. write a Time equation time = distance on top of speed.
WITCHER [35]3 years ago
5 0
10 miles per hour from Town X to Town Y
You might be interested in
An angle measures 88° more than the measure of a complementary angle. what is the measure of each angle?
aleksandrvk [35]
Let one angle be x
Let second angle be 88+x
Sum of two complementary angles = 90°
x+ 88+ x = 90°
2x + 88 = 90
2x  = 90 - 88 = 2
x = 2/2 = 1

First angle = x = 1°
Second angle = 88 + x = 88+1 = 89°
I hope it is helpful:D
3 0
3 years ago
On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round t
matrenka [14]

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

6 0
2 years ago
Determine whether the congruence is true or false.<br> 12 ≡ 10 mod 5
dolphi86 [110]

Answer:

The given congruence is false.

Step-by-step explanation:

Given : Expression 12 \equiv 10 \mod 5

To find : Determine whether the congruence is true or false ?

Solution :

The congruence is in the form x\mod y\equiv r

where, x is the dividend

y is divisor

r is the remainder

So, We find  10 \mod 5

We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.

10 \mod 5=0

As 0\neq 12

Therefore, The given congruence is false.

8 0
3 years ago
Consider the following set of equations, where s, s0, x and r have units of length, t has units of time, v has units of velocity
Anna11 [10]

Answer:

5

Step-by-step explanation:

For an equation to be dimensionally correct the dimension of quantities on both sides of equation must be same.

Also, two physically quantities can only be added or subtracted only when their dimension are same.

here all option are dimensionally correct except the 5th option where

dimension of t= [T] whereas dimension of a/v is \frac{LT^{-2}}{LT^{-1}}

= T^{-1}

since, the dimension of quantities on either sides of equation are not the same the equation is dimensionally is incorrect.

8 0
2 years ago
A florist is creating centerpieces for an upcoming event later this evening. She has already been working for two hours and has
Ratling [72]
Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.

Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.

Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>
7 0
2 years ago
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