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1 year ago

The set of all months that contain less than 31 years

Mathematics

1 answer:

ale4655 [162]1 year ago

4 0

The set of all months that contains less than 31 days is; {February, April, June, September, November}.

<h3>What is the set of all months that contain less than 31 days?</h3>

It follows from the task content that the set whose elements are to be determined is characterized by containing less than 31 days.

On this note, it follows that the elements of the set are; February (28/29 days), April (30 days), September (30 days), June (30 days) and November (30 days).

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Write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

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3 years ago

Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’

lora16 [44]

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

$x-0.1x+2.70=56.70$

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

$(70)-0.1(70)+2.7\stackrel{?}{=}56.70$

Multiply:

$70-7+2.7\stackrel{?}{=}56.7$

Subtract:

$63+2.7\stackrel{?}{=}56.7$

Add:

$65.7\neq56.7$

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

$(60)-0.1(60)+2.7\stackrel{?}{=}5.7$

Multiply:

$60-6+2.7\stackrel{?}{=}56.7$

Subtract:

$54+2.7\stackrel{?}{=}56.7$

Add:

$56.7\stackrel{\checkmark}{=}56.7$

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

8 0

3 years ago

Read 2 more answers