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mamaluj [8]
3 years ago
14

iIsabelle is mixing red paint with blue paint to make purple paint.she ads 3/10 of a fluid ounce of red to 11/16 fluid ounces of

purple. how many fluid ounces of red will she need to make 3 fluid ounces of purple paint
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Question says that Isabelle is mixing red paint with blue paint to make purple paint.

She adds 3/10 of a fluid ounce of red to 11/16 fluid ounces of purple.

Now we need to find about how many fluid ounces of red will she need to make 3 fluid ounces of purple paint.

So let we need x fluid ounces of red color paint.

To find that we can setup ratio between quantity of red and pruple colour paints.

\frac{Red}{Purple}=\frac{\left(\frac{3}{10}\right)}{\left(\frac{11}{16}\right)}=\frac{x}{3}

\frac{\left(\frac{3}{10}\right)}{\left(\frac{11}{16}\right)}=\frac{x}{3}

\left(\frac{3}{10}\right)\cdot\left(\frac{16}{11}\right)=\frac{x}{3}

\frac{48}{110}=\frac{x}{3}

\frac{48}{110}\cdot3=x

\frac{72}{55}=x

Hence final answer is \frac{72}{55} fluid ounce of red colour.

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Find the area of the shaded region
kogti [31]

Answer:

  7. 183 in^2

  8. 192.42 m^2

  9. 239.4 ft^2

Step-by-step explanation:

7. The figure seems most easily seen as a trapezoid with a triangle removed. The trapezoid has bases of 26 and 14, and a height of 15. So, its area is ...

  A = (1/2)(b1 +b2)(h) = (1/2)(26+14)(15) = 300 . . . . . . square inches

The triangle has a base of 26 and a height of 9, so an area of ...

  A = (1/2)bh = (1/2)(26)(9) = 117 . . . . . . square inches

Then the shaded area is ...

  300 in^2 -117 in^2 = 183 in^2

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8. The area of the donut can be found different ways. One way is to multiply the width of the shaded area (3.5 m) by the circumference of its centerline.

The centerline diameter is 21 m - 3.5 m = 17.5 m, so the circumference of that circle is ...

  C = πd = π(17.5 m) = 17.5π m

Then the area of the shaded part is ...

  (3.5 m)(17.5π m) = 61.25π m^2 ≈ 192.42 m^2

__

9. As in problem 7, this can be treated as a parallelogram less a triangle. Here, we need to do a little work to find the area of the triangle.

The triangle of interest is a right triangle with hypotenuse 23.8 ft and one leg 21 ft. The Pythagorean theorem can be used to find the other leg:

  h = √(23.8^2 -21^2) = √125.44 = 11.2

Then the area of the triangle is ...

  A = (1/2)bh = (1/2)(21)(11.2) = 117.6 . . . ft^2

The area of the parallelogram (including the triangle) is ...

  A = bh = (23.8 ft)(15 ft) = 357 ft^2

So, the shaded area is the difference ...

  357 ft^2 -117.6 ft^2 = 239.4 ft^2

_____

<em>Comment on significant digits</em>

The area in problem 8 may be considered to be 192.325 m^2 if you are required to use 3.14 as the value for pi. Since that value is only good to 3 significant digits, it is quite pointless to report the answer to 6 significant digits when using that value. It is quite reasonable to use 192 m^2 for the answer, especially if you're required to round to whole numbers.

8 0
3 years ago
HELP PLEASE <br> HOW DO I DO THIS?????<br> WHAT IS IT????
GarryVolchara [31]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
Please help!!!!<br> I desperately need the correct answer I’ve been trying all day!
zysi [14]

Answer:14708

Step-by-step explanation:Exponential Functions:

y=abxy=ab^x this is not right      not correct

y=ab

x

a=starting value = 13000a=\text{starting value = }13000

a=starting value = 13000

r=rate = 2.5%=0.025r=\text{rate = }2.5\% = 0.025

r=rate = 2.5%=0.025

Exponential Growth:\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.025=1.025b=1+r=1+0.025=1.025

b=1+r=1+0.025=1.025

Write Exponential Function:

y=13000(1.025)xy=13000(1.025)^x

y=13000(1.025)

x

Put it all together

Plug in time for x:\text{Plug in time for x:}

Plug in time for x:

y=13000(1.025)5y=13000(1.025)^{5}

y=13000(1.025)

5

y=14708.30677y= 14708.30677

y=14708.30677

Evaluate

y≈14708y\approx 14708

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5 0
3 years ago
Read 2 more answers
At the start of the diet keirin weighted 14 stone 13 pounds three months later he weighted 13 stone 10 pounds there are 14 pound
WINSTONCH [101]

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds

5 0
2 years ago
If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).
nadya68 [22]

Answer:  The required value is

(f-g)(x)=x^2+8.

Step-by-step explanation: The given functions are:

f(x)=2x^2+1,\\\\g(x)=x^2-7.

We are given to find the value of (f-g)(x).

We know that, if s(x) and t(x) are any two functions of a variable x, then we have

(s-t)(x)=s(x)-t(x).

Therefore, we have

(f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.

Thus, the required value is

(f-g)(x)=x^2+8.

5 0
3 years ago
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