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3 years ago

Jennifer buys four tubs of coleslaw. She serves two-fifths of each tub onto one plate.

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

She can serve 10 plates.

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Gillian eats 12 skittles. If there was originally 25 skittles in the bag, what percent of the skittles did Gillian eat? (NOT A S

Maslowich

you divide 12 by 25 which is 0.48 and multiply it by 48 and the answer is 48%

4 0

2 years ago

What is the answer to this problem -2x – 4 < 3x + 21

horsena [70]

Start with

$-2x-4 < 3x+21$

Add 2x to both sides:

$-4 < 5x+21$

Subtract 21 from both sides:

$-25 < 5x$

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

$-5 < x$

So, the answer is $x > -5$

6 0

2 years ago

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

A bricklayer needs to order 6300kg of building sand.

worty [1.4K]

There are 1000 grams in a kg, so 6300x1000=6,300,000 grams

5 0

2 years ago

Emma has 7 bottles: 3 bottles that contain juice, 2 bottles

UNO [17]

Answer: Out of 7 bottles, 2 bottles contain soda. This means that 2 bottles= 29% out of 100%. 7/2 (7 divided by 2) = 0.285. 0.285 can be rounded up to 0.29, meaning that the approximate percentage of the bottles that contain soda is 29%.

4 0

3 years ago