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3 years ago

Which of the following is a solution to this inequality?

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

Answer:

(1, 4)

Step-by-step explanation:

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A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What

Rina8888 [55]

Set up a proportion:

6 feet over 11 feet long equals x feet over 33 feet long

6/11 = x/33

198 = 11x

x = 18

The height of the tree is 18 feet tall

8 0

2 years ago

Read 2 more answers

Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in

Nat2105 [25]

Step-by-step explanation:

According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.

$\frac{x}{4} = \alpha \\ \frac{x}{2} = 2 \alpha$

If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.

Which means that we need a number devided by 3 and 4.

The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

${3}^{ \alpha } \times 12 \: and \: {4}^{ \alpha } \times 12 \: \\ where \: \alpha \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers$

8 0

2 years ago

Divide 500 in a ratio of 3:7

stealth61 [152]

$3:7\to3+7=10\\\\500:10=50\\\\therefore:\\3\cdot50=150\\7\cdot50=350\\\\Answer:\boxed{150:350}$

5 0

2 years ago

Read 2 more answers

Btw John makes 9$ an hour and amber makes 8$ an hour. REMEMBER TO ANSWER IN MINUTES NOT HOURS.

yarga [219]

Hello there! Provided the information, we know that the nearest multiple of 8 and 9 has to be greater than 50. 8 and 9 do not go into 50.

$9 • 6 hours = $54

$8 • 7 hours = $56

There are 60 minutes in an hour, so we can multiply accordingly:

60 minutes • 6 hours = 360 minutes

60 minutes • 7 hours = 420 minutes

Your final answers are:

It will take John 360 minutes to earn $50.

It will take Amber 420 minutes to earn $50.

(P.S. It takes Amber one more hour to earn $50 than it does for John to earn $50.)

Hope this helps!

8 0

1 year ago

Evaluate the polynomial when x = 3 and y = - 8<br>x2 + y2 + xy<br>

Ivahew [28]

<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

5 0

2 years ago

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