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3 years ago

10

Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/23 of a mile

. At what unit rate is the turtle crawling?

1 answer:

Aleks [24]3 years ago

5 0

Answer: 9/10 of a mile per hour.

Step-by-step explanation:

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

$\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1$

The approximate solutions to the system of equations are:

$x=-2.7 ,\:y=2.1$

5 0

3 years ago

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Write an equation for 5x + 2 = -4 - 7

kenny6666 [7]

Answer:

x = -2 3/5

Step-by-step explanation:

6 0

3 years ago

How to solve it with walk through steps

mario62 [17]

You can say

x+y=5
x=5-y

You know the value of x, put it into the next equation.

3(5-y)-7y=19
15-3y-7y=19
15-19 = 10y
-4=10y
-4/10=y
-2/5=y

Put y value back into either equation to find value of x.

x+y=5
x-2/5=5
x=5+2/5
x=27/5

Therefore, x,y = (27/5, -2/5)

Hope I helped :)

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3 years ago

A bag contains eight black marbles, 16 white marbles, 14 red marbles, and 10 Green marbles. A marble is drawn at random from the

sergij07 [2.7K]

Answer:

<em>B-2/3</em>

There are 48 total marbles and 32 are not white, so if you reduce, you get 2/3

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How many 1/8 pieces are there in 3/4

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1/6 pieces are in 3/4

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