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charle [14.2K]
3 years ago
11

How much 9% saline solution should be mixed with 80 Cc of a 17% saline solution to produce a 13% saline solution?

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

80 cc.

Step-by-step explanation:

We work in amounts of salt in the solutions:

0.09x + 0.17*80= 0.13(x+ 80)  where x is the required volume of 9% solution.

0.09x + 13.6 = 0.13x + 10.4

13.6 - 10.4 = 0.13x - 0.09x

3.2 = 0.04x

x = 3.2 / 0.04

x = 80

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A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensio
svetoff [14.1K]

The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
Please help! It's about systems of equations. Answer correctly i will mark brainliest
4vir4ik [10]

Answer:

Step-by-step explanation:

Y= -6

X=-2

7 0
3 years ago
Convert 0.6 shuttle orbits per hour to orbits per year
Hoochie [10]

Answer:

5256 orbits

Step-by-step explanation:

There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this

8760 x 0.6

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4 0
3 years ago
Does a triangle with these side lengths exist?<br> 28, 41, 13
Reika [66]

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

8 0
3 years ago
Read 2 more answers
A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng
AveGali [126]
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using  a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
</span>the rectangle's length is 16 cm

8 0
3 years ago
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