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3 years ago

Find a number that is 20 less than three times its opposite.

Mathematics

1 answer:

Anastasy [175]3 years ago

4 0

-3x - 20 = x
4x = -20
x = -5
The number you are looking for is negative 5

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Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

Nitella [24]

Answer:

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank $\frac{17}{42}$ of a cup more than yesterday

This means that:

Number of cups she drank today = $1+\frac{17}{42}=1\frac{17}{42}cups$

Now, we know that she drinks $\frac{2}{7}$ of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink $1\frac{17}{42}$ cups

1 hour ...........................> $\frac{2}{7}$ of a cup

?? hours ......................> $1\frac{17}{42}$ cups

Time taken = $\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours$

This means that she was awake for $4\frac{11}{12}$ hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for $4\frac{11}{12} * 60 = 295$ minutes

Hope this helps :)

8 0

3 years ago

Read 2 more answers

gerald accepted a job as jazz pianist after being offered a $425 signing bonus l, if he makes $24 an hour, which equation models

lukranit [14]

Answer:

425+24x=y

Step-by-step explanation:

8 0

3 years ago

A function f (x) = √ x is transformed into the function

Brilliant_brown [7]

Answer:

a) vertical translation: up five units

b) horizontal translation: right 2 units

c) vertically stretched by 3 units

Step-by-step explanation:

https://www.humbleisd.net/cms/lib2/TX01001414/Centricity/Domain/3611/Square%20Root%20Graphs%202015.pdf

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3 years ago

The model represents an inequality. what is the solution set for the inequality?

Ierofanga [76]

Answer:

X > (greater than or equal to) -7

Step-by-step explanation:

3x + 15 > -6

3x > -21 (subtract 15 from both sides)

X > -7 (divide both sides by 3)

5 0

3 years ago

Which of the following could be the side lengths of a right triangle?

choli [55]

Recall that in a right-triangle, the hypotenuse, or longest side, is √(a²+b²).

$\bf \sqrt{4.1^2+6.2^2}\qquad \approx\qquad 7.43303437
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\sqrt{40^2+60^2}\qquad \approx\qquad 72.1110255
\\\\\\
\sqrt{3.2^2+5.4^2}\qquad \approx\qquad 6.27694193
\\\\\\
\sqrt{33^2+56^2}\qquad =\qquad 65$

pick your poison.

8 0

3 years ago