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EastWind [94]
2 years ago
11

A. 600 is ____% of 500 b. 100 is _____% more than 40.

Mathematics
1 answer:
STatiana [176]2 years ago
7 0

9514 1404 393

Answer:

  A. 120%

  B. 150%

Step-by-step explanation:

a. Let 'a' represent the percentage of interest.

  600 = a% × 500

  600/500 = a/100 . . . . . . . % means /100

  100(6/5) = a = 120

  600 is <u> 120 </u>% of 500

__

b. Let 'b' represent the percentage of interest. The given statement means ...

  100 = 40 + b% × 40

  100 = 40(1 +b/100) . . . . . factor out 40, use /100 for %

  2.50 = 1 +b/100 . . . . . . . divide by 40

  1.50 = b/100 . . . . . . . . . . subtract 1

  150 = b . . . . . . . . . . . . . . multiply by 100

100 is <u> 150 </u>% more than 40

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Short Response
garik1379 [7]

Answer:

(a)2(89x+84)

(b)2(89x+84-x^2\pi)

Step-by-step explanation:

The dimensions of the larger rectangular field are:

  • Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

  • Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain =\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi

Area of the Field that does not include the soccer  field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)

8 0
3 years ago
Find slope for 2x+5y=8?
Nitella [24]
First thing, you need to transform this equation to the form of y = ax + b

So you get:
2x + 5y = 8
5y = -2x + 8
y =  -\frac{2}{5} x +  \frac{8}{5}

In the form of y = ax + b, a is the slope.
In y = -\frac{2}{5} x + \frac{8}{5}, you can see "- \frac{2}{5} x", and always the number before x is the slope
So, the slope of 2x + 5y = 8 is - \frac{2}{5}

Hope this Helps :)
7 0
3 years ago
Read 2 more answers
Rewrite the equation in Ax+By=C form.<br><br> Use integers A, B, and C.<br><br> y+5=5(x-3)
Kaylis [27]

y+5=5(x-3)\\ y+5=5x-15\\ 5x-y=20

4 0
3 years ago
Read 2 more answers
When is g(x) = 0 for the function g(x) = 5.2 3x + 4?
kicyunya [14]
G(x) = 0 can never happen.

When x is 0, the answer is 4
When x is 1, the answer is 19.6
When x is 4, the answer is 66.4

According to Wolfram Alpha though, x is equal to -(10/39). If that's not a choice for you, don't worry about it. :)
6 0
3 years ago
Sam borrows $5700 at 4.5% simple interest for 3 years. Find the interest
kherson [118]

Answer:

The interest is

<h2>$ 769.50</h2>

Step-by-step explanation:

Simple interest is given by

I =   \frac{P \times  R  \times T}{100}

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

I  =  \frac{5700  \times 4.5 \times 3}{100}

I =  \frac{76950}{100}

We have the final answer as

I = $ 769.50

Hope this helps you

3 0
3 years ago
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