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3 years ago

PLEASE HELP ME.....

Mathematics

1 answer:

Virty [35]3 years ago

7 0

Answer:

They would meet each other at $01 : 24$ PM.

Step-by-step explanation:

Erik took a trip to see his friend Mike who lives 308 miles away.

He left his place at 10 AM driving at 70 mph.

In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph.

As Erik left his house at 10 AM driving at 70 mph and in 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. It means

Erik left his place at 12:00 PM noon.

so, at 12:00 PM Erik had already traveled:

$2\times 70=140\:\:miles$

Miles left $=308-140=168\:\:miles$

Let 't' be the time when they meet

$70t\:+\:50t\:=168$

$120t=168$

$\mathrm{Divide\:both\:sides\:by\:}120$

$\frac{120t}{120}=\frac{168}{120}$

$t=\frac{7}{5}$

$t=\frac{7}{5}=1.4\:\:hours$

or $1$ hour and $24$ minutes after $12:00$ noon

i.e.

$12\:+\:1.4\:=1\:O'clock\:+\:24\:minutes$

Therefore, they would meet each other at $01 : 24$ PM.

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Which is the parent function of y=√5x+6

Ostrovityanka [42]

Hi there! The answer is D.

The parent function is the simplest form of a function. We can distinguish a variety of parent functions like linear, exponential, square root, absolute, logarithmic, quadratic, cubic, rational or constant (trigonometric functions excluded).

Now we can have a look at the function.
$y = \sqrt{5x + 6}$

The thing that is the most important in this function is the square root, because this mainly decides the way the function looks. Therefore, the parent function is the simplest form of a square root function, which is the following:
$y = \sqrt{x}$

Therefore the answer is D.
~ Hope this helps you!

6 0

2 years ago

1,248 divided by 4 show the work

Tju [1.3M]

1,248 divided by 4= 312

your welcome

:))

5 0

3 years ago

Read 2 more answers

What is the smallest positive integer for x so that f(x)=200(2)* is greater than the value of g(x)=500x+400?

Goshia [24]

We have to functions, namely:

$f(x)=200(2)^{x} \ and \ g(x)=500x+400$

So the problem is asking for the smallest positive integer for $x$ so that $f(x)$ is greater than the value of $g(x)$ , that is:

$f(x)\ \textgreater \ g(x) \\ \therefore 200(2)^{x}\ \textgreater \ 500x+400$

Let's solve this problem by using the trial and error method:

$for \ x=1 \\f(1)=400 \\ g(1)=900 \\ Then \ f(1) \ \textless \ g(1) \\ \\ \\ for \ x=2 \\f(2)=800 \\ g(2)=1400\\ Then \ f(2)\ \textless \ g(2) \\ \\ \\ for \ x=3 \\f(3)=1600 \\ g(3)=1900 \\ Then \ f(3)\ \textless \ g(3) \\ \\ \\ for \ x=4 \\f(4)=3200 \\ g(4)=2400 \\ \boxed{Then \ f(4)\ \textgreater \ g(4)}$

So starting $x$ from 1 and increasing it in steps of one we find that:

$f(x)>g(x)$

when $x=4$

That is, the smallest positive integer for $x$ so that the function $f(x)$ is greater than $g(x)$ is 4.

8 0

3 years ago

There are an equal number of pennies, nickels, dimes, and quarters in a bag. What is the probability that the combined value of

Anettt [7]

Answer:

the probability is 0.09375

Step-by-step explanation:

From the question we know that there are equal number of pennies, nickels, dimes and quarters, So the probability of get of select one penny, or one nickel, or one dime or one quarter is the same. This is equivalent to have one of every coin and select four with replacement.

Additionally, the only way that the combined value of the four coins selected will be $0.41 is that the person select one penny, one nickel, one dime and one quarter.

The total ways of select 4 coins from 4 types of coins is calculate by the rule of multiplication as:

4*4*4*4=256

And for obtain the value of $0.41 the number of ways are:

4*3*2*1=24

Then the probability that the combined value of the four coins randomly selected with replacement will be $0.41 can be calculated as:

P=24/256=0.09375

8 0

3 years ago

Convert 18 1/10 into a decimal.

Elodia [21]

Answer:

the answer is 18.1 1/10 is the same thing as .1

6 0

2 years ago