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BabaBlast [244]

3 years ago

14

for each of the following find, if possible, a whole number that makes the equation true. a. 3+ z=12 b. 36 = 18 + 3 •Z

1 answer:

Basile [38]3 years ago

6 0

Answer:

a. 9

b. 6

Step-by-step explanation:

a. z=12 - 3= 9

b. (36 - 18)/3= Z

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damaskus [11]

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3 years ago

Mike hiked to a lake in 4.5 hours at an average rate of 2

aleksandrvk [35]

Answer:

It took Pedro <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = $2\frac{1}{5}\ miles/hr$

Formula for distance can be seen as:

$Distance = Speed\times Time$

Distance traveled by Mike = $4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles$

Rate of Pedro while hiking the same distance = $2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr$

Given that, Pedro also travels the same distance.

And we have to find the Time.

$Time = \dfrac{Distance}{Speed}$

$Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}$

It took Pedro <em>3.81 hours</em> to reach the lake.

6 0

2 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

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3 years ago

Explain the steps for simplifying square root of 162

Musya8 [376]

162 is not a perfect square therefore you have to find the largest perfect square that can go into 162 which would be 81.

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Write an expression that is equal to 3 times 2 and 1 /4

koban [17]

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3 years ago