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11Alexandr11 [23.1K]

3 years ago

9

The local park has 4 bike racks. Each bike rack can hold 15 bikes. There are 16 bikes in the bike racks. What expression shows t

he total number of empy spaces in the bike racks?

1 answer:

Step2247 [10]3 years ago

5 0

44 that's a tricky question at first i thought it was -1 lol

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

3 0

1 year ago

Find the sum or difference: 2.8 - -5.1

Travka [436]

2.8-(-5.1)

-(-5.1)=5.1

2.8+5.1= 7.9

Is this what you were asking?

3 0

3 years ago

Read 2 more answers

Please please help me.I am so lost with this math

Arte-miy333 [17]

Answer:

$6\sqrt{5}$

Step-by-step explanation:

In any right triangle, the Pythagorean theorem states:

$a^2+b^2=c^2$ , where $a$ and $b$ are two legs of the triangle and $c$ is the hypotenuse.

Plugging in given values, we have:

$12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=\sqrt{180}=\sqrt{36}\cdot \sqrt{5}=\boxed{6\sqrt{5}}$

4 0

3 years ago

Which of the following is equivalent to the expression:

Alecsey [184]

<span>Selection A is correct</span>

4 0

3 years ago

Find the selling price $280 tax 5%

Semenov [28]

Answer:

The selling price is $294

Step-by-step explanation:

5/100 (280)

0.05 * 280 = 14

5% of 280 equals 14.

To find the selling price we have to add the tax to the price.

$14 + $280 = $294

<em>The selling price is $294</em>

6 0

3 years ago