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3 years ago

Can someone help me solve this Please

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

9514 1404 393

Answer:

523 grams
52 grams

Step-by-step explanation:

To find the initial amount, put 0 where t is in the formula and do the arithmetic.

A(0) = 523(1/2)^0 = 523(1) = 523

The initial amount is 523 grams.

To find the amount remaining after 100 years, put 100 where t is in the formula and do the arithmetic.

A(100) = 523(1/2)^(100/30) ≈ 523(0.0992123) ≈ 52

About 52 grams will remain after 100 years.

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John and Ariana bought school supplies, John spent $10.65 on 4 notebooks and 5 pens. Ariana spent $7.50 on 3 notebooks and 3 pen

timurjin [86]

Cost of 1 notebook is $ 1.85 and cost of 1 pen is $ 0.65

<h3><u>Solution:</u></h3>

Let "a" be the cost of 1 notebook

Let "b" be the cost of 1 pen

Given that John spent $10.65 on 4 notebooks and 5 pens

cost of 1 notebook x 4 + cost of 1 pen x 5 = 10.65

4a + 5b = 10.65 ------ eqn 1

Given that Ariana spent $7.50 on 3 notebooks and 3 pens

3a + 3b = 7.50 ----- eqn 2

Let us solve eqn 1 and eqn 2 to get the values of "a" and "b"

Multiply eqn 1 with 3

12a + 15b = 31.95 ---- eqn 3

Multiply eqn 2 with 4

12a + 12b = 30 ------ eqn 4

Subtract eqn 4 from eqn 3

12a + 15b = 31.95

12a + 12b = 30

(-) ---------------------

3b = 1.95

b = 0.65

Substitute b = 0.65 in eqn 1

4a + 5(0.65) = 10.65

4a = 7.4

a = 1.85

Thus cost of 1 notebook is $ 1.85 and cost of 1 pen is $ 0.65

8 0

2 years ago

A survey was conducted about the colors of shoes that people

alex41 [277]

Answer:

Option B) 0.797

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

$P=\frac{x}{y}$

step 1

Find the probability that a randomly selected person was female

In this problem we have

$x=33$ ----> total females

$y=31+33=64$ ---> total males plus total females

substitute

$P=\frac{33}{64}$

step 2

Find the probability that a randomly selected person was was wearing brown shoes

In this problem we have

$x=18$ ----> total brown shoes

$y=64$ ---> total shoes

substitute

$P=\frac{18}{64}$

step 3

Find the probability that a randomly selected person was either female or was wearing brown shoes

Adds the probabilities

$P=\frac{33}{64}+\frac{18}{64}=\frac{51}{64}=0.797$

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3 years ago

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Zarrin [17]

.50x -5=0
Add 5 to both sides
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Blababa [14]

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Is there a ingeneral question about them or some thing?

Step-by-step explanation:

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