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VashaNatasha [74]
4 years ago
11

Please anyone help me solve this

Mathematics
1 answer:
Otrada [13]4 years ago
3 0
3 \sqrt{m} - 7n =  \dfrac{1}{2}

3 \sqrt{m}  =  \dfrac{1}{2}  + 7n

\sqrt{m} = (\dfrac{1}{2} + 7n)  \div 3

\sqrt{m} = (\dfrac{1}{6} +  \dfrac{7}{3}n )

m = (\dfrac{1}{6} +  \dfrac{7}{3}n ) ^2


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It cost marci 33 cents to mail a postcard and 49 cents to mail a letter. she sent either a postcard or a letter to each of 28 pe
Rus_ich [418]

Answer:

24 Letters and 4 Postcards

Step-by-step explanation:

We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".

Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.

The second equation is the total sent: x + y =28.

Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.

We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.

If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.

Subtract 9.24 from both sides to get: 0.16y = 3.84

Divide both sides by 0.16 to get: y = 24.

Now we can plug this into x + y = 28 to see that x= 4.

You could make sure this is correct by solving for x instead of y and do the same process.

Hope this helps.

4 0
3 years ago
What are the solutions of the quadratic equation below?<br><br> 3x2 - x = 11
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<span>x=<span><span>16</span>+<span><span><span><span>16</span><span>√133</span></span><span> or </span></span>x</span></span></span>=<span><span>16</span>+<span><span><span>−1</span>6</span><span>√<span>133  ---- Use the quadratic formula. </span></span></span></span>
7 0
4 years ago
The volume of the cone shown is 12 cubic inches. What is the height of a cone with the same base diameter but a volume of only 4
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Answer:

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Step-by-step explanation:

Using the formula, the volume of a cone

Subst. the known value of into the equation.

Thus, the volume of cone= 1(3)= 3 cubic inches.

3 0
3 years ago
The price of a gallon of milk increased from $5.50 to $7.50. Describe the price increase as a percent.​
sweet [91]

Step-by-step explanation:

7.50= (1 + x/100 ) × 5.50

7.50/ 5.50 = 1+x/100

x/100 = 0.36

x= 36.36%

6 0
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Una bolsa contiene 3 canicas rojas, 8 azules y 10 amarillas. ¿Cuál es la razón de canicas rojas al total de canicas en su forma
Romashka [77]

Answer:

porque hay un total de 21 canicas y 3 de ellas son rojas, en forma mas simple de cada 7 canicas una es roja o 1:7 es el razon de canicas rojas a todas

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