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4 years ago

6

Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and the

re was no penalty for wrong answers. His score was 76 points.
Write an equation to determine the total number of questions (q) on Tim's math test.

Find the total number of questions on his math test.

2 answers:

charle [14.2K]4 years ago

8 0

4x = 76
Where x is how many awnsers he got correct and 4 how many points each correct question awnsered.

Now you just have to isolate x by dividing both sides of the equation by 4

4x/4 = 76/4
x = 19

So he got 19 questions right and 10 awnsers wrong. In total there were 29 questions on his test

sweet [91]4 years ago

8 0

Answer:

q-10=76/4 29 questions

Step-by-step explanation:

khan

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Answer:

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Step-by-step explanation:

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3 years ago

12% is 90% of what number?

Andrews [41]

12% = 0.12

90% = 0.9

$0.12 = 0.9 \times x\\\\x = \frac{0.12}{0.9}=\boxed{1.33333}$

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3 years ago

At a school book fair, 3/5 of the books are nonfiction books. of the nonfiction books, 1/4 are animal books. what fraction of th

bulgar [2K]

Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books: (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is: (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

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2 years ago

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

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3 years ago

1. How many squares do I shade on 10 square grid for 60% of 40 ?

Sholpan [36]

Answer:

Either 2.4 boxes or 6

Step-by-step explanation:

10% of 40 is 4

60% of 40 is 24

Either 2.4 boxes or 6

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3 years ago