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Alexeev081 [22]
3 years ago
5

PLEASE HELP ME

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

(a) How many grams of copper are in the resulting mixture?

= 160 grams

(b) What percentage of the resulting mixture is copper?

= 61.5%

Step-by-step explanation:

(a) How many grams of copper are in the resulting mixture?

From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

(b) What percentage of the resulting mixture is copper?

70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

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3 years ago
Joy and joanna both purchase party invitations.They both spent the same amount of money. Joy spent $.75 per invitation and $3.25
Ksenya-84 [330]

Answer:

11 invitations each

Step-by-step explanation:

Let the number of invitations they bought be x .

Since they spent the same amount of money, Their total costs would be the same. Hence ;

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3 years ago
Which expression is equivalent to 32 + 16?
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Brainiest please!!! :)
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3 years ago
Read 2 more answers
The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are
ValentinkaMS [17]

The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2<em>w</em> + 2<em>l</em>

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

<em>Width</em> = (x+2) = (12+2) = 14

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The dimensions of the patio is <u>14 by 18</u>

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3 years ago
Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the
8_murik_8 [283]

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

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Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

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P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

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0.0000128746 / 0.00050115585

= 0.0263671875

7 0
3 years ago
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