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3 years ago

At the beginning of June, Max and Sean start saving money for the fair, which occurs 10 weeks later. Sean

Mathematics

1 answer:

Murrr4er [49]3 years ago

4 0

Answer:

Step-by-step explanation:

sean has 20 +2 : 2 x 7 = 14 + 20 = 34

max has 0 + 5: 5 x 7 = 35

so after 7 week max will have more money

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If 8 is subtracted from 7 times a number the result is 34

djverab [1.8K]

7x - 8 = 34

Solving:

7x = 34 + 8
7x = 42
x = 6

Hope this helps!

5 0

3 years ago

Which fraction can be expressed as a non-terminating decimal?

3241004551 [841]

Answer:

$\frac{7}{9} = 0.777777 ..$

$\frac{1}{3} = 0.33333..$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Non -terminating decimals are the one that does have an end term. it has infinite number of terms

Example :-

$\frac{7}{9} = 0.777777 ..$

$\frac{1}{3} = 0.33333..$

5 0

3 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

3 years ago

Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Ci

DENIUS [597]

Answer:

Step-by-step explanation:

It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70

Hope this helped!

6 0

3 years ago

PLEASE HELP!!!

allsm [11]

Answer/Step-by-step explanation:

Part A: Net A is the correct net. If we decide to fold the net, we'd get the shape of the prism. Folding back net B won't give us the shape of the prism because of the position and arrangement of the right triangular bases.

Part B:

AB = 3in

BC = 5 in

CD = 9.4 in

Part C: surface area of the prism can be calculated by calculating the area of each part of the net, and summing them together as follows,

Area of the 2 triangular bases = 2(½*base*height of triangle) = 2(½*4*3) = 2*2*3 = 12 in²

Area of the three rectangles =

$= (9.4*4) + (9.4*3) + (9.4*5) = 37.6 + 28.2 + 47 = 112.8 in^2$

Surface area of prism = 12 + 112.8 = 124.8 in²

4 0

3 years ago