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Mrac [35]
3 years ago
8

Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54

meters wide in real life. How wide is the parking lot in the drawing?
Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer: The parking lot in the drawing is 36 centimeters.

Step-by-step explanation:

Given: Actual width of parking lot = 54 meters

The scale she used was 2 centimeters : 3 meters.

i.e. 3 actual meters = 2 centimeters on drawing

⇒ 1 actual meter = \dfrac23 centimeters on drawing

⇒ 54 actual meters = 54\times\dfrac23 centimeters on drawing

⇒ 54 actual meters = 36 centimeters

Hence, the parking lot in the drawing is 36 centimeters.

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Need help with all questions please. :)
vovangra [49]
3. a) p∝1/m
P=k/m
48=k/9
48×9=k
k=432

the equation is: p=432/m

b) p∝1/m
P=k/m
P=432/12
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5 0
3 years ago
The fourth term in an arithmetic sequence is 18 and the seventh term is 39. If the first term is a1 , which is an equation for t
evablogger [386]

Answer:

<h2>            aₙ = 7n - 10</h2>

Step-by-step explanation:

The nth term:  a_n=a_1+d(n-1)

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10

8 0
3 years ago
Jonathan can throw a baseball 10 1/3 yards. His brother Joey can throw a baseball 13 1/2 yards. How much father can Joey throw t
butalik [34]

let's firstly convert the mixed fractions to improper fractions, and then subtract.


\bf \stackrel{mixed}{10\frac{1}{3}}\implies \cfrac{10\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{31}{3}}~\hfill \stackrel{mixed}{13\frac{1}{2}}\implies \cfrac{13\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{27}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{27}{2}-\cfrac{31}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)27~~-~~(2)31}{6}}\implies \cfrac{81~~-~~62}{6}\implies \cfrac{19}{6}\implies 3\frac{1}{6}

5 0
3 years ago
Which equation has the vertex (-2, 4)
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

None of the given options as the bottom three are linear and the top one has a vertex at (-3, 4)

If one of the other was SUPPOSED to say ±3(x + 2)² + 4, then I'd choose that one.

3 0
3 years ago
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lord [1]

Answer:

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Step-by-step explanation:

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