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3 years ago

1 1/3 divided by 2/3

Mathematics

2 answers:

Stells [14]3 years ago

6 0

Answer: the answer is 2

Step-by-step explanation:

slavikrds [6]3 years ago

3 0

Answer:

Explanation:

1. Convert the mixed number into an improper fraction: 4/3 / 2/3
2. Use the KCF (Keep Change Flip) rule to make a multiplication equation: 4/3 • 3/2
3. Multiply: 12/6, or 2

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Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?

zmey [24]

(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31

4 0

3 years ago

Read 2 more answers

Change the fraction 1/5 to a percent.

denis23 [38]

$\frac{1}{5} \cdot 100 \ \% = 0.2 \cdot 100 \ \% = 20 \ \%.$

5 0

3 years ago

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My product is 30. The differencd of the two factors is 1. The zum of the two factors is 11. What numbers am i

timurjin [86]

A * b = 30
a - b = 1
a + b = 11

take ur last 2 equations, and add them
a - b = 1
a + b = 11
--------------add
2a = 12
a = 12/2
a = 6

now its just a matter of subbing
a + b = 11
6 + b = 11
b = 11 - 6
b = 5

so a = 6 and b = 5...whose product is 30, whose difference is 1, and whose sum is 11.

5 0

3 years ago

If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger

MaRussiya [10]

Answer:

Larger number = 32

Step-by-step explanation:

Smaller number = x

Larger number = y

y - x = 8 -----------(I)

3y = 4x ---------------(II)

3y/4 = x

Plug in x = 3y/4 in equation (I)

$y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8\\$

y = 8*4

y = 32

Plug in y = 32 in equation (II)

3y = 4x

3*32 = 4x

4x = 3*32

x = $\frac{3*32}{4}$

x = 3 *8

x = 24

7 0

3 years ago