Robert is making 5 batches of lemonade. Each batch requires 2 1\3 quarts of water. How much water will Robert need?
Express your answer in simplest form.

A.10 1\3
quarts

B.10 2\3
quarts

C.11 1\3
quarts

D.11 2\3
quarts

Answers

Answer 1

Answer: 2 1/3 quarts per batch, and five batches, so you multiply 2 1/3 x 5.

2 1/3 = 7/3 and 5 x 7/3 = 35/3 which simplifies to 11 2/3, so D. is the answer.

If you would like a more detailed answer just ask.

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Need help answering this 11⁄14 – 4⁄7=
( IN FRACTION FORM)

Answers

Hi,

Alrighty...

Step One: Common Denominator
11/14 - 11/7

To do this, multiply the second fraction by 2-

11/7 * 2/2 = 22/14

So now you have the problem: 11/14 - 22/14

11-22 = -11
(And the denominators stay the same)

So your answer is -11/14.

Makes sense?

Solve the linear system1).5x + 4y = 16
y = -16

2). 3x + 6y = 15
-2x + 3y = -3

3). 7y = -14x + 42
7y = 14 x + 14

Answers

1.5x+4y=16
5x+4(-16)=16
5x-64=16
5x=80
x=16

2.3x+6y=15
-2x+3y=-3

Multiply the 2nd equation by 2

3x+6y=15
-4x+6y=-6
7x=9
x=9/7

3x+6y=15
3(9/7)+6y=15
27/7+6y=15
6y=78/7
y=78/42 or 39/21 or 13/7

3.7y = -14x + 42
7y = 14 x + 14

-14x+42=14x+14
-28x=-28
x=1

$1)\n \n\begin{cases} 5x + 4y = 16 \n y=-16\end{cases} \n \n \begin{cases} 5x + 4*(-16) = 16 \n y=-16\end{cases} \n \n \begin{cases} 5x -64 = 16 \n y=-16\end{cases}$

$\begin{cases} 5x = 16 +64\n y=-16\end{cases} \n \n \begin{cases} 5x =80/:5 \ \n y=-16\end{cases} \n \n \begin{cases} 5x = 16 +64\n y=-16\end{cases} \n \n \begin{cases} x =16\n y=-16\end{cases}$

$2)\n \n\begin{cases} 3x+6y=15 \n -2x + 3y = -3 \end{cases} \n \n\begin{cases} 3x = 15-6y \ /:3 \n -2x + 3y = -3 \end{cases} \n \n \begin{cases} x = 5-2y \n -2*(5-2y) + 3y = -3 \end{cases} \n \n\begin{cases} x = 5-2y \n -10+4y + 3y = -3 \end{cases} \n \n$

$\begin{cases} x = 5-2y \n 7y = -3+10 \end{cases} \n \n \begin{cases} x = 5-2y \n 7y = 7 \ /:7\end{cases} \n \n \begin{cases} x = 5-2 *1 \n y =1 \end{cases} \n \n \begin{cases} x = 3 \n y = 1 \end{cases} \n \n$

$3)\n \n\begin{cases} 7y = -14x + 42 \n 7y = 14 x + 14 /:7 \end{cases} \n \n\begin{cases} 7*(2x+2) = -14x + 42 \n y = 2 x + 2 \end{cases} \n \n \begin{cases} 14x+14 = -14x + 42 \n y = 2 x + 2\end{cases} \n \n \begin{cases} 14x+ 14x = 42 -14 \n y = 2 x + 2 \end{cases}$

$\begin{cases} 28x = 28 \ /:28 \n y = 2 x + 2 \end{cases}\n \n\begin{cases} x = 1 \n y = 2 *1+ 2\end{cases}\n \n\begin{cases} x = 1 \n y = 4 \end{cases}$

With regard to the example given in Question 8 above, if everything else stayedthe same but the term was changed from 15 years to 30 years, this would have
the effect of
a.
b.
increasing the monthly payment by $144
decreasing the monthly payment by $144
increasing the monthly payment by $244
decreasing the monthly payment by $244
d.

Answers

Answer:

decreasing the monthly payment by $244

Step-by-step explanation:

you start out with $844 - $600 = $244

Plz help me do 19-33 like really fast please!!!

Answers

19) x>4
20) k<7
21) y>1
22)x>13
23)n>8
24)x>44
25)b<14
26) s<3.5
27)m<1/4
28)x<2
29)n>7
30)x<5/3
31)b<3
32)p>2/5
33)k<3/11

PLEASE HELP! Im not very good at math

Answers

Answer:

The answer provided is incorrect, the mistake is in the division between the monomials $x^{(6)/(5)}$ and $x^{(2)/(5)}$ that is equal to $x^{(4)/(5)$ not $x^3$ , because we must mantain the same base "x" and subtract the expoents that are $(6)/(5) - (2)/(5) = (4)/(5)$ .

Step-by-step explanation:

In order to simplify that question we need to multiply, divide and power monomials with the same base "x". When we multiply monomias with the same base we sum the expoents, to divide we subtract the expoents and to power them we multiply the expoents. Therefore to simplify the equations we must do:

$(\frac{x^{(2)/(5)}*x^{(4)/(5)}}{x^{(2)/(5)}})^(1)/(2)\n(\frac{x^{(6)/(5)}}{x^{(2)/(5)}})^(1)/(2)\n(x^{(4)/(5)})^(1)/(2)\nx^{(4)/(10)}\nx^{(2)/(5)}$

Answer:

No the answer is incorrect.

Step-by-step explanation:

From the question given;

( $X^{(2)/(5) }$ . $X^{(4)/(5) }$ / $X^{(2)/(5) }$ )¹/²

We will start by solving the inner bracket

By the law of indices $x^(a) . x^(b) = x^(a+b)$

$X^{(2)/(5) }$ . $X^{(4)/(5) }$ = $X^{(2)/(5)+(4)/(5) } = X^{(6)/(5) }$

we will replace $X^{(2)/(5) }$ . $X^{(4)/(5) }$ by $X^{(6)/(5) }$

$X^{(2)/(5) }$ . $X^{(4)/(5) }$ by $X^{(6)/(5) }$

( $X^{(2)/(5) }$ . $X^{(4)/(5) }$ / $X^{(2)/(5) }$ )¹/² = ( $X^{(6)/(5) }$ / $X^{(2)/(5) }$ )¹/²

By the law of indices $x^(a) /x^(b) = x^(a-b)$

$X^{(6)/(5) }$ / $X^{(2)/(5) }$ = $X^{(6)/(5) - (2)/(5) }$ = $X^{(4)/(5) }$

We will replace $X^{(6)/(5) }$ / $X^{(2)/(5) }$ by $X^{(4)/(5) }$

( $X^{(6)/(5) }$ / $X^{(2)/(5) }$ )¹/² = ( $X^{(4)/(5) }$ )¹/² = $X^{(4)/(10) }$ = $X^{(2)/(5) }$

( $X^{(2)/(5) }$ . $X^{(4)/(5) }$ / $X^{(2)/(5) }$ )¹/² = $X^{(2)/(5) }$

No the answer is incorrect.

He made a mistake, because $X^{(6)/(5) }$ / $X^{(2)/(5) }$ = = $X^{(6)/(5) - (2)/(5) }$ = $X^{(4)/(5) }$ and not equal to $x^(3)$

Which completely describes the polygon A. equilateral B. equiangular C. regular btw the figure polygon is a sqaure

Answers

Answer:

Option: C is the correct answer.

C. Regular.

Step-by-step explanation:

Square--

Geometrically, square is defined as a regular quadrilateral , which means that it has four equal sides and four equal angles measuring 90 degree each.

Square could also be defined as a rectangle with two adjacent sides equal.

Hence, the term that completely describe the given polygon i.e. square is:

Regular.

Answer:

The most complete description would be "regular."

Step-by-step explanation:

A square is a polygon with all four sides congruent and all four angles congruent. This is also the definition of a regular polygon.

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