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Serggg [28]
2 years ago
8

1/2(6 2/3+1/4)-5/24=

Mathematics
1 answer:
Helen [10]2 years ago
5 0

For this case we must simplify the following expression:

\frac {1} {2} (6 \frac {2} {3} + \frac {1} {4}) - \frac {5} {24} =

We convert the mixed number to an improper fraction:

6 \frac {2} {3} = \frac {3 * 6 + 2} {3} = \frac {20} {3}

So, by rewriting we have:

\frac {1} {2} (\frac {20} {3} + \frac {1} {4}) - \frac {5} {24} =\\\frac {1} {2} (\frac {4 * 20 + 3 * 1} {4 * 3}) - \frac {5} {24} =\\\frac {1} {2} (\frac {80 + 3} {12}) - \frac {5} {24} =\\\frac {1} {2} (\frac {83} {12}) - \frac {5} {24} =

\frac {83} {24} - \frac {5} {24} =\\\frac {83-5} {24} =\\\frac {78} {24} =\\\frac {39} {12} =\\\frac {13} {4} =\\3 \frac {1} {4}

Answer:

3 \frac {1} {4}

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Yall pls help meeeee (brainliest btw)!!!!!
Korvikt [17]
<h2>Answer:</h2>

<u><em>Let m be the amount each mom can paint and d be the amount each daughter can paint.</em></u>

<u><em>On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220.  Dividing both sides by 4 gives a simplified equation of 2m+3d=55.</em></u>

<u><em>On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152</em></u>

<u><em /></u>

<u><em>Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:</em></u>

<u><em>d=13</em></u>

<u><em>2m+3d=55</em></u>

<u><em>2m+3(13)=55</em></u>

<u><em>2m+39=55</em></u>

<u><em>2m=16</em></u>

<u><em>m=8</em></u>

<u><em>Therefore each mom painted 8 square feet and each daughter painted 13 square feet.</em></u>

4 0
3 years ago
Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa
Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = Pe^{rt}, where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019  , A = $ 73600

Substitute all values in formula

73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}

Taking natural log on both sides

\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}

Hence, the required time = 9.9 years.

4 0
3 years ago
-7 exponent 2 - x + 6x + x exponent 2
s2008m [1.1K]

Answer:

x²+5x-49

Step-by-step explanation:

-7² -x+6x+x²

combine like terms

-x+6x is 5x

simplify -7²  is -49

now rewrite the equation

x²+5x-49

5 0
2 years ago
Read 2 more answers
Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p
dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0
3 years ago
Mrs. Miller has a rectangular garden with a length of 20 feet long with an area of (20x-200) square feet. Write an expression th
krek1111 [17]

Perimeter = (20 + 2x) mm.

Step-by-step explanation:

The octopus pupil has length 20 mm and the expression for its area is given by (20x - 200) square mm.

If the width of the octopus pupil is w, then 20w = 20x - 200

⇒ w = (x - 10) mm.

Therefore, the expression for its perimeter is 2(Length + Width) = 2 ( 20 + x - 10) = 2( 10 + x) = (20 + 2x) mm. (Answer)

6 0
2 years ago
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