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3 years ago

Two Expressions are shown.

Mathematics

1 answer:

Effectus [21]3 years ago

6 0

2/3（x-6)=6
x-6=9
x=15

2/3y-6=6
2/3y=12
y=18

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Leo reads 14 pages in 1/3 hourWhat is the unit rate for pages per hour

pogonyaev

To determine the unit rate of pages, that is, the number of pages Leo reads in one hour you can use cross multiplication

1/3h _____14 pages

1h______x pages

$\begin{gathered} \frac{14}{\frac{1}{3}}=\frac{x}{1} \\ 14\cdot3=x \\ x=42 \end{gathered}$

Leo reads 42pages/hour

7 0

10 months ago

Suppose legislation requiring the Fed to keep the inflation rate between 1.5% and 2.5% per year is passed by Congress. This law

Alborosie

Answer:

goal independence.

Step-by-step explanation:

The Fed is comprised of 12 regional federal reserve banks and its affairs are been directed by a board of governors. The characteristics fed has, granted to it by the congress, make they to remain very independent from the activities of the executive and legislative arms of the government. The Fed makes different policies and also implement them - which helps to ensure the employment of persons are up at all times and to create stability in prices and that of the interest rates.

4 0

3 years ago

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

3.5 +x=7 I need help please page 60

ella [17]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3.5 + x = 7

We need to isolate x

Subtract 3.5 from both sides:

x = 3.5

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0

2 years ago

Read 2 more answers

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

Talja [164]

11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.

4 0

2 years ago