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Finger [1]
3 years ago
12

The label on a can of lemonade gives the volume as 12 fl oz ,or 355 ml . Verify the these two measurements are nearly equivalent

.
Mathematics
1 answer:
Darya [45]3 years ago
3 0
12 fl oz and 355 ml are nearly equivalent. Proof is shown below.

1 fluid ounce is equivalent to 29.5735 millilitre
                  
                  29.5735 ml
12 fl oz  x --------------- = 354.882 rounded to the nearest ones will be 355 ml.
                   1 fl oz


OR

1 millilitre is equivalent to 0.033814 fluid ounce

                 0.033814 fl oz
355 ml   x ------------------   =  12.00397 or 12 fl oz.
                       1 ml

12 fl oz and 355 ml are nearly equivalent.
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A rectangle has perimeter 28cm. Its area is 42sq.cm. Determine the dimensions of the rectangle. Include a diagram in your soluti
yawa3891 [41]

The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle is equal to base x height (A=bh). The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2b+2h.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

Perimeter=28cm

Area= 42 cm²

If the perimeter is the sum of all sides of the rectangle, you have:

Perimeter= 2b+2h=28

If the area of the rectangle is 42cm², you have:

Area=bh=42 cm²

You can write a system of linear equations.

2b+2h=28 (1)

bh=42 (2)

From equation 2, you have  b=\frac{42}{h}. Then, you can replace it in equation 1.

2*\frac{42}{h}+2h=28 \\ \\ 84+2h^2=28h\\ \\ 2h^2-28h+84=0 \; dividing\; by\; 2\\ \\ h^2-14h+42=0

Now, you should solve the quadratic equation.

h_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:42}}{2\cdot \:1}

h_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{7}}{2\cdot \:1}

h_1=\frac{-\left(-14\right)+2\sqrt{7}}{2\cdot \:1}=7+\sqrt{7}=9.65 cm

h_2=\frac{-\left(-14\right)-2\sqrt{7}}{2\cdot \:1}=7-\sqrt{7}=4.35cm

If h1=9.65 cm, then b_1=\frac{42}{9.65} =4.35 cm, and if  h2=4.35 cm, then b_1=\frac{42}{4.35} =9.65 cm.

Read more about the quadratic function here:

brainly.com/question/1497716

#SPJ1

8 0
1 year ago
Cuanto es 3/2 en una docena de huevos?
Nady [450]
Mejor respuesta
equivale a doce unidades, por ejemplo:
tengo 12 huevos = tengo una docena de huevos, pero tambien se pueden acumular, por ejemplo:
tengo 24 canicas = tengo 2 docenas
y para sacar las docenas solo divides el numero o las unidades entre 12
UnDeR · hace 7 años
8 0
3 years ago
Express 59.2475 in words and expanded notation
enyata [817]

Hey, expressing 59.2475 would look like:


Word form: Fifty-nine and two thousand, four hundred seventy-five ten-thousandths.


Expanded Notation Form:

50 + 9 + 0.2 + 0.04 + 0.007 + 0.0005.

6 0
3 years ago
If the product of two number is 10 and the sum is 7 ,then the longest of the two number is​
irinina [24]

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

So

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

10/y+y= 7\\\\10/y= 7-y

cross multiply we have

10=y(7-y)\\\\10=7y-y^2

rearrange

y^2-7y+10=0

the factors of the quadratic expression are

-5 and -2

y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\

The longest side is 5 units

3 0
2 years ago
3+6×5+4÷2-7 using the same expression,add parentheses so that the value of the expression is 38​
solmaris [256]

Answer:

3+6×(5+4÷2)-7  

Step-by-step explanation:

To solve the expression use order of operations.

Right now the expression solves to:

3+6×5+4÷2-7                  6* 5 = 30

3 + 30 + 4÷2-7                4 ÷ 2 = 2

3 + 30 + 2 - 7                   Add and subtract left to right.

33 + 2 - 7

35 - 7

28

To make it solve to 38, add parenthesis:

3+6×(5+4÷2)-7                (5+4÷2) = 7

3+6×(7)-7                        6*7 = 42

3 + 42 - 7                        Add and subtract from left to right

45 - 7

38

7 0
3 years ago
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