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2 years ago

Which expression is equivalent to 4.8 – 2.2w + 1.4w – 2.4 ?

Mathematics

1 answer:

Vlad1618 [11]2 years ago

6 0

Answer:

B) 0.4 (6 - 2w)

Step-by-step explanation:

You can only add or subtract with the numbers that have the same variable:

You can only add -2.2w and 1.4w

Which is -0.8w

Then add 4.8 and -2.4

Which is 2.4

Now the equation is -0.8w+2.4 or 2.4-0.8w

0.4 times 6 is 2.4

0.4 times 2w is -0.8w

Which is the same

-0.8w+2.4 or 2.4-0.8w

Hope this helps!

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The flagpole in front of VHS 50 feet tall. The angle of elevation from the end of its shadow to the top of the flagpole is 46°.

mamaluj [8]

Answer:

The length of the shadow is 48.28 feet.

Step-by-step explanation:

The flagpole at its shadow form a 46, 44, 90 triangle.

Let AB be the flagpole. AC is the shadow.

Let's use the sine law to calculate AC.

$\frac{AC}{sin(44)}=\frac{50}{sin(46)}\\AC=\sin(44)*\frac{50}{sin(46)}AC=48.28$

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3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 5 ft long with a diameter of 1.8 ft .

dangina [55]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius=\frac{diameter}{2}\\
h=height\\
----------\\
diameter=1.8\\
r=\frac{1.8}{2}=0.9\\
h=5
\end{cases}\implies V=\pi \cdot 0.9^2\cdot 5\\\\
-------------------------------\\\\
\textit{is draining at }\boxed{2.1}\ \frac{ft^3}{min}\textit{ , it has a total of }\boxed{\pi \cdot 0.9^2\cdot 5} \ ft^3
\\\\\\
\textit{it'll take }\cfrac{\pi \cdot 0.9^2\cdot 5}{2.1}\ minutes$

3 0

3 years ago

A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st

Pani-rosa [81]

The expression that we need to get is:

$N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}$

So the correct option is the second one.

<h3>Which expression gives the number of gallons of stain Bradley will need?</h3>

We know that 1 gallon is enough to cover 200 ft².

We have two rectangular areas, one of:

23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.

Then the total area is:

A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)

The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

$N = \frac{(23ft)*(10.4ft) + (10.5ft)*(7.2ft)}{200ft^2} \\\\N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}$

So the corerect option is the second one.

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

7 0

2 years ago

2 Points

DochEvi [55]

Answer:

Step-by-step explanation:

f(x) = 2x^2 – 3x + 1 is a function (its graph is a parabola that opens up), and it is one-to-one (Answer A). For each input, x, this function will return one output.

8 0

3 years ago

SUSTITUTION 3X-6Y=2<br> 5X+4Y=1

Montano1993 [528]

3x - 6y = 2
5x + 4y = 1

(-1/3, -1/6)

~Hope I helped!~

6 0

3 years ago