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photoshop1234 [79]
3 years ago
7

The length of a rectangle is 15 inches, and its width is 10 inches. If the area must remain 150 square inches, and the length is

increased by 10 inches, by how much must the width be decreased? A) by 2 inches B) by 3 inches C) by 4 inches D) by 5 inches
Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

3.33333

Step-by-step explanation:

You have to put:

If 15 ------------- becomes 5

then 10--------- becomes X

like this type of rule says, you should do:

(10x5)/15= 3.33333

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BRAINLIESt :P quick fast pls
Masteriza [31]

Answer:

D. 2 1/6

Step-by-step explanation:

To visualize the problem easier, start by converting all the fractions to improper fractions, this will allow you to just add the denominators and simplify the question:

1/6, 5/6, 1 3/6 —> 1/6, 5/6, 9/6

Now that the sequence is rewritten, you can simply add 4 to the numerator,  which equals 13/6.

Rewrite this again by finding how many times 6 goes into 13, and use the remainder as the numerator of the new fraction, which will end up as 2 1/6.

4 0
2 years ago
Read 2 more answers
Which of the following functions shown in the table below is not an exponential function?
kramer

Answer:

B. f(x)

D. h(x)

Step-by-step explanation:

An exponential function will have a common ratio.

We check and see if the consecutive terms has a common ratio.

For f(x),

\frac{5}{2}  \ne \frac{10}{5}

This is not an exponential sequence.

For g(x), we have:

\frac{2}{1}  =  \frac{4}{2}  =  \frac{8}{4}  = 2

For h(x),

\frac{1.25}{1}  \ne \frac{1.5}{1.25}

This is not an exponential sequence

For k(x),

\frac{16}{64}  =  \frac{4}{16}  =  \frac{1}{4}  =  \frac{0.25}{1}

6 0
3 years ago
As part of a summer internship, five people -- Cindy, Damaris, Eugenio, Fareed, and Guzal -- are to be assigned to floors 1-5 in
MrMuchimi

Based on the information, it is expected Fareed can be assigned to live on any of the floors.

<h3>What condition limits Fareed's assignment?</h3>

The only condition that limits the floor Fareed can be assigned to is that he cannot be immediately below Damaris. This means that as long as Damaris is not immediately above him, he can be assigned to all floors. Here are two possible arrangements:

  • Eugenio (5th floor)
  • Damaris
  • Cindy
  • Fareed
  • Guzal (1st floor)

  • Guzal (5th floor)
  • Eugenio
  • Damaris
  • Cindy
  • Fareed (1st floor)

Learn more about arragements in: brainly.com/question/27909921

#SPJ1

7 0
2 years ago
Find the whole number 50% of what number is 45?
ValentinkaMS [17]
Is/of=%100
45/x=50%/100
the answer is 90.
4 0
3 years ago
Read 2 more answers
Organizers of an outdoor concert will use 320 feet of fencing to fence off a rectangular vip section. What is the maximum area t
solong [7]

<u>Answer-</u>

<em>The maximum area that they can fence off is</em><em> 6400 ft²</em>

<u>Solution-</u>

Organizers of an outdoor concert will use 320 feet of fencing to fence off a rectangular vip section.

i.e the perimeter of the rectangular section is 320 feet

Let us assume,

x = length of the rectangular section

y = breadth of the rectangular section

Hence,

\Rightarrow 2(x+y)=320\\\\\Rightarrow x+y=160\\\\\Rightarrow y=160-x

Now, we have to find the maximum area for which they can fence that off.

The area of the rectangular section is,

=x\cdot y

So we have to maximize the area function.

\Rightarrow f(x)=x\cdot y

Putting the value of y,

\Rightarrow f(x)=x\cdot (160-x)=160x-x^2

\Rightarrow f'(x)=160-2x

\Rightarrow f''(x)=-2

Finding the critical values,

\Rightarrow f'(x)=0

\Rightarrow 160-2x=0

\Rightarrow 2x=160

\Rightarrow x=80

∵ f"(x) is negative (i.e -2), so for the value of x=80, f(x) or area function will be maximum.

f(x)_{\text{at x=80}}=f(80)=160(80)-(80)^2=12800-6400=6400

Therefore, the maximum area that they can fence off is 6400 ft²

8 0
3 years ago
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