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alexandr1967 [171]
3 years ago
10

Mark sold 2 7/8 gallons of lemonade. Regan sold 2/3 as much as Mark. How much did Regan sold in gallons? can you solve it step b

y step please??
Mathematics
1 answer:
adelina 88 [10]3 years ago
0 0

Answer:

Step-by-step explanation:

The phrase "twice as much lemonade" tells you that if Mark sold 2 gallons and Regan sold twice as much as Mark, then Regan sold 2 * 2 which is 4 gallons, right?  It's the same with the "2/3 as much".  But since 2/3 is less than 1, the amount after you multiply some number by 2/3 is going to be less than the original number.  

If Mark sold 2 7/8 gallons and Regan sold 2/3 as much, then Regan sold

2\frac{7}{8}*\frac{2}{3}

I teach my algebra students to change that mixed fraction into an improper to make the multiplication easier:

\frac{23}{8}*\frac{2}{3}=\frac{46}{24}=\frac{23}{12}=1\frac{11}{12}

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Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles
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Answer: 24+3r\geq100

r=26


Step-by-step explanation:

Given: Mrs. Morton rewards her students on behave well by putting 3 marbles into a marble jar.

If the jar contains 24 marbles. and r represent the number of additional times the class is rewarded then the required equation will be

24+3r\geq100

If we solve it, we will get the minimum the jar contains 24 marbles.

To solve equation, subtract 24 from both sides, we get

3r\geq100-24\\\Rightarrow3r\geq76\\\Rightarrow\ r\geq\frac{76}{3}\geq25.333\approx 26

Hence, the minimum whole number of additional times they need to be rewarded so they can have a party=26

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4 years ago
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!! AP CALCULUS AB !!<br> find the limit of [(secx*sinx) + (cscx*cosx)]/(3secx) as x approaches 3pi/2
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f(x)= \frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}}

\frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}} \implies \\ \frac{\sin^2{x}+\cos^2{x}}{\sin{x}\cos{x}}\frac{\cos{x}}{3}\implies \\\frac{1}{\sin{x}\cos{x}}*\frac{\cos{x}}{3}\implies \\ \frac{1}{3\sin{x}}

So,

\lim_{x \rightarrow \frac{3\pi}{2}}{f(x)=f(\frac{3\pi}{2})=\frac{1}{3\sin{\frac{3\pi}{2}}}=-\frac{1}{3}

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3 years ago
I need to translate it pls help (algebra)
natali 33 [55]
The inequality is x-2>30
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3x + 3 - x + (-7) &gt; 6
Arte-miy333 [17]
3x + 3 - x + (-7) > 6

3x - x + 3 + (-7) > 6                +(-) = -

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x > 10/2

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3 years ago
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Which equation can be used to represent the statement? Sixteen is the same as one and two-tenths times a number added to negativ
andreyandreev [35.5K]

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

16=1.2n+(-8)

<h3>How to write algebraic equation from statement? </h3>

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is n.

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)

Thus the equation can be used to represent the given statement is,

16=1.2n+(-8)

Learn more about the algebraic expression here;

brainly.com/question/2164351

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