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Lapatulllka [165]

3 years ago

7

margaret is certain that every time she parks in the garage it costs her at least $1.90. if the garage charges 40 cents plus 30

cents for each half hour. how long is Margaret car parked?

1 answer:

Montano1993 [528]3 years ago

8 0

She was parked 2 1/2 hrs

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N aquarium tank holds

Lilit [14]

1 gal = 3.8 liters....so 65 gallons = 65 * 3.8 = 247 liters

4 0

3 years ago

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.

1. Write the expression.

$\frac{x}{8}+5=42$

2. Substract 5 from both sides and simplify.

$\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\$

3. Multiply 8 on both sides and simplify.

$8*\frac{x}{8}=37*8\\\\x=296$

<u>We have found our number, it's 296!</u>

3 0

2 years ago

Read 2 more answers

Can someone help me with this? sin150° =

marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

6 0

3 years ago

Read 2 more answers

Which of the following is a random sample?

slavikrds [6]

Answer:

A.

Step-by-step explanation:

A. City voters were asked about candidates. That seems to be random.

B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.

C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.

D. An email survey was sent. Mostly people who own computers will respond. This is not random.

Answer: A.

6 0

2 years ago

What is the common ratio between successive terms in a sequence?<br> 1.5, 1.2,0.96, 0.768, ...

Vanyuwa [196]

9514 1404 393

Answer:

0.8

Step-by-step explanation:

The ratio of the first two terms is ...

1.2/1.5 = 4/5 = 0.8

That is also the ratio of successive adjacent terms.

0.96/1.2 = 0.768/0.96 = 0.8

The common ratio is 0.8.

6 0

3 years ago