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svp [43]
2 years ago
5

Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 1

1t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours
Mathematics
1 answer:
Eddi Din [679]2 years ago
7 0

Answer:

The boys would have traveled two hours to be at the same point on the trail

Step-by-step explanation:

At the same point on the trail, the two boys would have traveled the same distance.

What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel

Thus, we equate the equation of thur distances.

That would be;

14t = 11t + 6

14t -11t = 6

3t = 6

t = 2 hours

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Help me with math please
pentagon [3]

Answer:

B. 1/6

Step-by-step explanation:

8 0
3 years ago
What is the smallest 3-digit palindrome that is divisible by both 3 and 4?
kirill [66]

Answer:

252

Step-by-step explanation:

To be divisible by 3, it's digits have to add to a number that is a multiple of 3.

To be divisible by 4 its last 2 digits have to be divisible by 3.

So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.

212 that's divisible by 4 but not 3

222 divisible by 3 but not 4

232 divisible by 4 but not 3

242 not divisible by either one.

252 I think this might be your answer

The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4

4 0
2 years ago
I need help on this I don’t know what to do
nadya68 [22]

Answer:

x=9

Step-by-step explanation:

logx (531441) = 6

Changing this to an exponential

x^6 =531441

Take the 6th root of each side

(x^6)^1/6 = (531441)^1/6

x =9

8 0
3 years ago
There are two numbers. The first number minus the second number is 15. One-third of the sum of the numbers is one quarter of the
disa [49]

Answer:

So the numbers are 12 and -3.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the numbers, the first one will be "x" and the second one will be "y". From the first sentence we know that the subtraction of the two numbers is equal to 15, so we have:

x - y = 15

Then the problem states that one-third of the sum of the number is equal to one quarter of the first number, so we have:

(1/3)*(x+y) = x/4

Since we now have two equations and two variables we can solve for x and y. From the first equation we have:

y = x - 15

Using this expression for the value of y in the second equation:

(1/3)*(x + x - 15) = x/4

(1/3)*(2*x - 15) = x/4

2*x - 15 = 3*x/4

2*x - 3*x/4 = 15

(8*x - 3*x)/4 = 15

5*x/4 = 15

5*x = 60

x = 60/5 = 12

y = x - 15 = 12 - 15 = -3

So the numbers are 12 and -3.

4 0
2 years ago
Read 2 more answers
Sodium-24 has a half-life of 15 hours. how many grams of a 900 g sample will remain after 90 hours
raketka [301]

Answer: Option 'B' is correct.

Step-by-step explanation:

Let the initial concentration be

N_0=900\ g

Let concentration after t= 90 hours be N

Since we have given that Sodium-24 has a half life of 15 hours i.e.

t_{\frac{1}{2}}=15

So, According to question,

\text{ Number of half lives }=\frac{t}{t_{\frac{1}{2}}}\\\\\text{ Number of half lives }=\frac{90}{15}\\\\\text{ Number of half lives }=6

As we know that

\frac{N}{N_0}=(\frac{1}{2})^n\\\\N=N_0\times (\frac{1}{2})^n\\\\N=900\times (\frac{1}{2})^6\\\\N=\frac{900}{64}\\\\N=14.0625\ g

Hence, Option 'B' is correct.

4 0
3 years ago
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