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Free_Kalibri [48]
3 years ago
10

The average elephant can carry up to 1250 pounds on its back. Four people are on its back, and they have a combined weight of 83

1 pounds. If the variable w stands for the amount of additional weight the elephant can carry, which of the following would be a reasonable value for this variable?
 A.

1000 pounds

 B.

100 pounds

 C.

400 pounds

 D.

1200 pounds
Mathematics
2 answers:
madreJ [45]3 years ago
8 0
I'm pretty sure the answer is C. 400 pounds.
gladu [14]3 years ago
7 0

Answer:

C:400 pounds

Step-by-step explanation:

Let w be the amount of additional  weight which can carry by an elephant.

The elephant can carry weight  on its back=1250 pounds

The combined weight of four people=831 pounds

We have to find the value of w.

According to question

w+831\leq 1250

w+831-831=1250-831

Using subtraction property of inequality

w\leq 419

Hence, the elephant can carry amount of  additional weight 419 pound or less than 419 pounds.

Therefore, option C is true.

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SpyIntel [72]

Answer:

4^2

Step-by-step explanation:

\dfrac{4^4 \cdot 4^3}{4^5}\\\\\\=\dfrac{4^{4+3}}{4^5}\\\\\\=\dfrac{4^{7}}{4^5}\\\\\\=4^{7-5}\\\\\\=4^2

6 0
2 years ago
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Answer as soon as possible, please and thank you. All help is truly appreciated because we are one step closer to the answer. Be
SpyIntel [72]

Answer: 100

Step-by-step explanation:

4b squared where b= 5

Slot in 5 for b; 5 squared = 5x5= 25

4 (25)

=100

7 0
3 years ago
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Can someone answer this question please?
Keith_Richards [23]

Part (a)

<h3>Answer:  0.2</h3>

----------------------------------

Work Shown

It costs $15 to rent a bike for 3 hours. We can write the following ratio below

15 dollars : 3 hours

To represent the connection of the two concepts (dollars connecting with hours)

We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".

Divide both sides of the ratio by 15 to achieve this goal.

15 dollars : 3 hours

15/15 dollars : 3/15 hours

1 dollar : 1/5 hours

1 dollar : 0.2 hours

0.2 hours : 1 dollar

So we get 0.2 hours per dollar.

As a side note, 0.2 hours = 0.2*60 = 12 minutes.

========================================================

Part (b)

<h3>Answer:  3.38</h3>

----------------------------------

Work Shown

27 pages : 8 minutes

27/8 pages : 8/8 minutes

3.375 pages : 1 minute

3.38 pages : 1 minute

I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.

3 0
3 years ago
1
Yakvenalex [24]

Answer:

Step-by-step explanation:

We know that the iceberg is 131 feet above the water and 273 feet bellow the water. We don't need the - on the 272 because we just want to know the length, no the direction it is going. so we add 131 and 272 and get 303.

3 0
2 years ago
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
emmainna [20.7K]

Answer:

Expressions C and D correctly determine the markup price.

Step-by-step explanation:

A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.

When you markup a price, you multiply the original price by 1+x, where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.

\frac{32}{100} = \small\boxed{0.32}

Therefore, with this new decimal, we can add 1 to it.

1 + 0.32=\small\boxed{1.32}

Finally, we multiply this result by the original price.

1.32 \times 400=\small\boxed{528}

Therefore, we can already confirm that Expression C is one way to find the markup price.

  • We can eliminate expression A because it did not use the formula 1+x. It only uses the decimal form of the percentage.
  • We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.

Now, we can test the math for expressions D and E to see if either of these will equal $528.

Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.

400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}

Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.

400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}

Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.

7 0
3 years ago
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