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777dan777 [17]
2 years ago
9

Wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and w

ill save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Mathematics
1 answer:
SpyIntel [72]2 years ago
8 0

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

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The topic is about operations on functions: composition and transformation
telo118 [61]

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.

5 0
3 years ago
Why is the inequality x≤6 equivalent to the inequality x−5≤6−5
Monica [59]

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1    |add 5 to both sides

x ≤ 6

8 0
3 years ago
At the Beijing Olympics,
eduard
It is 25% okay bruv
6 0
3 years ago
Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of
Pavel [41]

\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z

Let S be the surface of the rectangular prism bounded by the planes x=0, x=a, y=0, y=b, z=0, and z=c. By the divergence theorem, the integral of \vec F over S is given by the integral of \nabla\cdot\vec F over the interior of S (call it R):

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

=\displaystyle\int_0^c\int_0^b\int_0^a(8x+8y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{abc(4a+4b+3c)}

5 0
3 years ago
The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute
kirza4 [7]

Answer:

P(X

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(412,68)  

Where \mu=412 and \sigma=68

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

4 0
3 years ago
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