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2 years ago

Grant bought 30 movie tickets for a total of $200. Adult tickets cost $8 each, child tickets cost $3.50

Mathematics

1 answer:

vitfil [10]2 years ago

5 0

Answer:

Step-by-step explanation:

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how much mg of a metal containing 4% silver must be combined with 11 mg of a metal containing 38% silver to form an alloy contai

Eddi Din [679]

Answer:

6 mg of the metal needs to be added.

Step-by-step explanation:

Let the amount (in mg) of metal that needs to be added by y.

Therefore, the amount of silver in the above metal is 0.04y.

Prior to mixing, 11 mg of a metal contained 38% of silver (Given).

Therefore, the amount of silver before= $\frac{38}{100}*11$ = 4.18 mg

The total amount of silver after mixing, 4.18 + 0.04y mg

The total amount of metal after mixing, 11 + y mg

New percentage of silver = 26% .

Thus, $\frac{4.18+0.04y}{11+y}*100= 26$

$(4.18 +0.04 y) * 100 = 26 *(11 +y)$

$418+4y=286+26y$

$132=22y$

y=6 mg

Therefore, the amount of metal that needs to be added is 6 mg.

5 0

3 years ago

8. This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets

Vlada [557]

Answer:

360

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find T, N, and B for the curve at the indicated point. [HINT: After finding T', plug in the specific value for t before computin

lyudmila [28]

Answer:

Step-by-step explanation:

Given that

$r(t) = (t,t,e^t)$

To find tangent, normal and binormal vectors at (0,0,1)

i) Tangent vector

$r'(t) = (1,1,e^t)\\$

At the particular point, r'(t) = (1,1,e)

Tangent vector = $\frac{r'(t)}{||r'(t)||} \\=\frac{(1,1,e)}{\sqrt{1+1+e^2} } \\=\frac{(1,1,e)}{\sqrt{2+e^2} }$

ii) Normal vector

T'(t) = $(0,0,e^t)\\$

At that point T'(t) = (0,0,e)/e = (0,0,1)

iii) Binormal

B(t) = TX N

= $\left[\begin{array}{ccc}i&j&k\\1&1&e^t\\0&0&e^t\end{array}\right] \\= e^t(i-j)$

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4 years ago

Is this generalization true? All triangles have at least 2 acute angles

miv72 [106K]

Yes, all triangles have at least two acute angles. If there were two right angles, it would not be a closed figure. If there were two obtuse angles, there would be more than 180 degrees.

Hope this helps =)

7 0

4 years ago

A candy bar sells for 4 for $5. How many can be bought for 20 dollars?

Tpy6a [65]

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

5 0

3 years ago

Read 2 more answers