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Ivanshal [37]
2 years ago
12

Noah has $50. He wants to buy a cell phone case for $20 and some accessories. Each accessory costs $8. How many accessories (x)

can Noah buy if he wants to have more than $8 left after he buys everything? Use the equation editor to enter the missing part of the inequality that answers the question. The inequality answer must be a whole number.
Mathematics
1 answer:
levacccp [35]2 years ago
8 0

Answer:

Noah can buy 2 accessories.

Step-by-step explanation:

Given:

Money Noah has = $50

Cost of Cell phone case = $20

Cost of each accessory =$8

Amount he wants to be left = $8

So Total Amount he he wants to spend on accessories and Cell phone case will be equal to Money Noah has minus Amount he wants to be left.

framing in equation form we get;

Total Amount he he wants to spend on accessories and Cell phone case = \$50-\$8 =\$42

No we need to find the number of accessories Noah can buy.

Let the number of accessories be 'x'.

Now we can say that;

Cost of Cell phone case plus Cost of each accessory multiplied by number of accessories should be less than or equal to Total Amount he he wants to spend on accessories and Cell phone case.

framing in equation form we get;

20+8x\leq 42

Subtracting both side by 20 we get using Subtraction property of Inequality.

20+8x-20\leq 42-20\\\\8x\leq 22

Now Dividing both side by 8 using Division property of Inequality we get;

\frac{8x}{8}\leq \frac{22}{8}\\\\x\leq 2.75

Now rounding to whole number we get ;

x\leq 2

Hence Noah can buy 2 accessories.

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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
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(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

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Step-by-step explanation:

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Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

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(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

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n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

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