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2 months ago

AI

Mathematics

1 answer:

Iteru [2.4K]2 months ago

8 0

In order to find the equivalent expression, let's use the following property:

$a-(-b)=a+b$

In other words, when subtracting a negative number, we can just add the corresponding positive number, that is, switch the two negative signs for a positive sign.

So we have that:

$\begin{gathered} 18\frac{1}{5}-(-22\frac{2}{5})-(-40\frac{1}{5}) \\ =18\frac{1}{5}+22\frac{2}{5}+40\frac{1}{5} \end{gathered}$

Therefore the correct option is D.

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An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

For Carton the dimensions are:

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

1 year ago

Which expressions are a factor of -48xyz – 24xy + 40xyz?

11Alexandr11 [23.1K]

The answer to your question is D B and G.

4 0

2 years ago

I need help solving this question with explaining please ANSWER ASAP!!!!!!!!!

andrew11 [14]

x = 85 degrees and

y = 45 degrees.

Step-by-step explanation:

Step 1:

The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.

The angles of x° and 95° are on a single straight line.

So $x^{\circ} + 95^{\circ} = 180^{\circ}.$

$x^{\circ} = 180^{\circ} - 95^{\circ} = 85^{\circ} .$

So the angle of x is 85°.

Step 2:

The sum of the angles in a triangle is 180°.

So $50^{\circ} + x^{\circ} + y^{\circ} =180^{\circ}.$

$50^{\circ} + 85^{\circ} + y^{\circ} =180^{\circ}.$

$y^{\circ} =180^{\circ} - 135^{\circ}, y = 45 ^{\circ}.$

So the angle of y is 45°.

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2 years ago

Does arkansas lie south of 40 degrees latitude

Zepler [3.9K]

All of Arkansas is between 33 degrees and 36.5 degrees lol

4 0

2 years ago

A farmer wants to mow two rectangular garden of dimensions 14 m × 12 m and 15m × 10m. Find the cost of mowing both the gardens a

Anit [1.1K]

Answer:

What is the cost per sq.m

Step-by-step explanation:

You can’t solve this without the cost per meter

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2 years ago