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3 years ago

Solve for y. - 3y + 2 = -10y + 30 Simplify your answer as much as possible.

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer: y = 4

Step by step explanation:

−3y + 2 = −10y + 30

Step 1: Add 10y to both sides.

−3y + 2 + 10y = −10y + 30 + 10y

7y + 2 = 30

Step 2: Subtract 2 from both sides.

7y + 2 − 2 = 30 − 2

7y = 28

Step 3: Divide both sides by 7.

7y/7 = 28/7

y = 4

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3-3k+7k=5b solve for k

DaniilM [7]

$3-3k+7k=5b \\\\ 3+4k=5b \\\\ 4k=5b-3 \\\\ \boxed{k=\frac{5b-3}{4}}$

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3 years ago

The sum of twelve and four times a number is 36. What is the number?

Greeley [361]

Answer:

Step-by-step explanation:

12 +4x = 36

Then solve the linear eqn

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3 years ago

What is the 100th term of the arithmetic sequence below? 4, 11, 18, 25

galina1969 [7]

Answer:

a₁₀₀ = 697

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then

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8 0

3 years ago

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answer

vagabundo [1.1K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point a:

$\to \frac{5 \pi }{6}$

calculating a positive coterminal angle:

$\to \frac{5 \pi }{6} + 2 \pi \\\\ \to \frac{5 \pi +12 \pi }{6} \\\\ \to \frac{17 \pi }{6} \\\\$

calculating negative coterminal angle:

$\to \frac{5 \pi }{6} -2\pi \\\\ \to \frac{5 \pi - 12 \pi }{6} \\\\ \to \frac{ - 7 \pi }{6} \\\\$

In point b:

$\to \frac{-9 \pi }{4}$

calculating a positive coterminal angle:

$\to \frac{ -9 \pi }{4} + 2 \pi \ \ = \frac{-9 \pi + 8 \pi }{4} \\\\$

$\to \frac{ - \pi }{4} + 2 \pi \ \ = \frac{- \pi + 8 \pi }{4} \\\\$

$= \frac{ 7 \pi}{4}$

calculating a negative coterminal angle:

$\to \frac{ -9 \pi }{4} - 2 \pi \\\\ \to \frac{-9 \pi - 8 \pi }{4} \\\\ \to \frac{-17 \pi }{4}$

3 0

3 years ago

there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured

Nuetrik [128]

Answer:

27.5%

Step-by-step explanation:

Given:

1 Liter In Teapot
Alex poured 275 milliliters of the tea into a cup

Review:

1,000 Milliliters = 1 Liter

Concepts:

A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one cubic decimeter. It is equivalent to 1.0567 U.S. liquid quarts and is equal to the volume of 1 kilogram of distilled water at 4°C.

A millimeter is a noun meaning a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.

Formula:

The mℓ to ℓ formula is [L] = [mL] / 1000.

Now we must convert 275 milliliters to liters.

1. Divide the volume by 1,000.

275 ÷ 1000 = 0.275

2. Add the Unit Symbol for Liter.

0.275 ⇒ 0.275 L

Now we have to find how much of 1 liter- 0.275 liters as a percentage is.

To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.

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1 year ago