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mylen [45]
3 years ago
12

17−5r+9r=12+6r−1 what is r?

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

r=3

Step-by-step explanation:

simplify each side

4r+17=6r+11

Subtract 4r from both sides.

17=2r+11

Subtract 11 from both sides

6=2r

divide both sides by 2

3=r

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The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li
stira [4]

Answer:

There are <u>20,000 milligrams</u> chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

The  volume of water in the swimming pool is 8000 gallons.

Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be x.

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, x is equivalent to 8000.

Now, to get the quantity of chlorine by using cross multiplication method:

\frac{2.5}{1} =\frac{x}{8000}

<em>By cross multiplying we get:</em>

20000=x\\\\x=20,000\ mg.

Therefore, there are 20,000 milligram chlorine in the pool.

6 0
3 years ago
In ΔLMN, \overline{LN}
Karolina [17]

Answer:

\bold{\angle NLM = 10^\circ}

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

\text{m}\angle MNO = (5x-13)^{\circ}

\text{m}\angle NLM = (x-4)^{\circ} and

\text{m}\angle LMN = (2x+19)^{\circ}

To find:

\text{m}\angle NLM=?

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14

Putting the value of x in \angle NLM.

\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}

5 0
3 years ago
Mrsjones has 1 4/8 pizza left after giving some to Greg she had 7/8 left how much did Greg take
Bezzdna [24]

Answer:

5/8

Step-by-step explanation:

well we 1 14/8 so lets turn that to a whole number which is 12/8 (you multiply the denominator by 1 and add the 4)

12/8 - 7/8 =  5/8    ( since both denominators are the same numbers you can simply subtract the numerator )

7 0
3 years ago
Can someone please please help me I don’t understand
Snowcat [4.5K]

Answer: Pretty sure the answer is C

Step-by-step explanation:

4 0
3 years ago
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién l
stira [4]

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

4 0
3 years ago
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