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inn [45]
3 years ago
6

Jack and Tyler ate a total of 35 cupcakes Tyler ate 5 more than jack how many did each person eat

Mathematics
2 answers:
Reil [10]3 years ago
6 0
Tyler ate 20 jack ate 15 

Natali [406]3 years ago
3 0
Well Tyler ate 20, and Jack ate 15. I say this because I just subtracted the 5 cupcakes from the complete amount and got 30. Then I divided that by the two boys, and that gave them 15 each, but then I added back the 5 to one of the boy's totals (being Tyler's since he ate five more) And Tyler was left eating 20 while jack still ate 15.
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Which of the following possibilities will form a triangle?
ivann1987 [24]

Answer:

Option 4

Step-by-step explanation:

The smaller sides must add up to be greater than the largest side so:

1) 6 + 8 < 15

1) No

2) 6 + 9 = 15

2) No

3) 9 + 6 < 16

3) No

4) 9 + 8 > 16

4) Yes

6 0
2 years ago
What is the simplest form of 20/100
Vinil7 [7]
20/100 in simplest form is 1/5
6 0
3 years ago
Read 2 more answers
For <img src="https://tex.z-dn.net/?f=e%5E%7B-x%5E2%2F2%7D" id="TexFormula1" title="e^{-x^2/2}" alt="e^{-x^2/2}" align="absmiddl
nevsk [136]
I'm assuming you're talking about the indefinite integral

\displaystyle\int e^{-x^2/2}\,\mathrm dx

and that your question is whether the substitution u=\dfrac x{\sqrt2} would work. Well, let's check it out:

u=\dfrac x{\sqrt2}\implies\mathrm du=\dfrac{\mathrm dx}{\sqrt2}
\implies\displaystyle\int e^{-x^2/2}\,\mathrm dx=\sqrt2\int e^{-(\sqrt2\,u)^2/2}\,\mathrm du
=\displaystyle\sqrt2\int e^{-u^2}\,\mathrm du

which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)

What if we tried u=\sqrt t next? Then \mathrm du=\dfrac{\mathrm dt}{2\sqrt t}, giving

=\displaystyle\frac1{\sqrt2}\int \frac{e^{-(\sqrt t)^2}}{\sqrt t}\,\mathrm dt=\frac1{\sqrt2}\int\frac{e^{-t}}{\sqrt t}\,\mathrm dt

Next you may be tempted to try to integrate this by parts, but that will get you nowhere.

So how to deal with this integral? The answer lies in what's called the "error function" defined as

\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^xe^{-t^2}\,\mathrm dt

By the fundamental theorem of calculus, taking the derivative of both sides yields

\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}

and so the antiderivative would be

\displaystyle\int e^{-x^2/2}\,\mathrm dx=\sqrt{\frac\pi2}\mathrm{erf}\left(\frac x{\sqrt2}\right)

The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
3 0
3 years ago
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn t
Inessa05 [86]

Answer:

D = 20H

Step-by-step explanation:

The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.

Hence, we can write D = kH ......... (1), where k is a constant.

Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.

So, from equation (1) we get  

30 = 1.5k

⇒ k = 20.

Therefore, equation (1) becomes D = 20H (Answer)

3 0
3 years ago
Which statement BEST describes why this set of ordered pairs is NOT a function?
UNO [17]

We have x = 4 repeating itself

If we graph the two points (4,1) and (4,20), then we see the relation fails the vertical line test.

The input x = 4 leads to more than one output y = 1 and y = 20 simultaneously.

This is why we don't have a function.

8 0
2 years ago
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