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zimovet [89]
2 years ago
13

On a​ map, 1 inch equals 9.2 miles. two houses are 3.5 inches apart on the map. what is the actual distance between the​ houses?

use pencil and paper. show how you can represent the scale with two different ratios. what ratio is more helpful for solving the​ problem? explain.
Mathematics
1 answer:
Andrew [12]2 years ago
8 0
So what you need to do is just:

3.5 in * 9.2 = d

d = 32.2 miles

The ratio could be 1:9.2 or 3.5:32.2 which is one inch is to 9.2 miles and the second is 3.5 inches is to 32.2 miles
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The weight Wkg of a metal bar varies jointly
maria [59]

Answer:

d = \sqrt{\frac{216W}{35L} }

Step-by-step explanation:

Given that W varies jointly as L and d² then the equation relating them is

W = kLd² ← k is the constant of variation

To find k use the condition W = 140 when d = 4 and L = 54, thus

140 = k × 54 × 4² = 864k ( divide both sides by 864 )

\frac{140}{864} = k , that is

k = \frac{35}{216}

W = \frac{35}{216} Ld² ← equation of variation

Multiply both sides by 216

216W = 35Ld² ( divide both sides by 35L )

\frac{216W}{35L} = d² ( take the square root of both sides )

d = \sqrt{\frac{216W}{35L} }

6 0
2 years ago
Sue baked 40 cookies and decorated 35% of them. Molly baked 50 cookies and put icing on 30% of them. Which girl iced more cupcak
anyanavicka [17]

Answer:

Molly with 15 cookies decorated

Step-by-step explanation:

Turn percentage into decimals.

35%=.35

30%=.30

Sue baked 40 and decorated 35% (40*.35=14)

Molly baked 50 and decorated 30% (50*.30=15)

3 0
3 years ago
Jamie has a cup holder that can hold 3 cups at a time. The cup holders are labeled a, b, and c. He has 3 different color cups (b
JulsSmile [24]

Answer:

6 ways.

Step-by-step explanation:

a, b, c

a, c, b

b, a, c

b, c, a

c, a, b

c, b, a

8 0
3 years ago
15/23 - 5/23<br>lets see who can solve​
seraphim [82]

Answer:

10/23

Step-by-step explanation:

15/23 - 5/23 = <u>10/23(Ans)</u>

7 0
2 years ago
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Consider functions f and g defined by the graph and the table.<br><br> Please help me ASAP
Fed [463]

Answer:

Step-by-step explanation:

Given are two functions represented one by graph and another by table

We can check the given statement one by one

1) f(2)=18 : f(0) =15

Average rate of change = \frac{18-15}{2-0} =1.5

For g(x) avg rate of change

=\frac{g(2)-g(0)}{2-0} \\=4

Hence g has a higher average rate of change than f.

True

2)f is linear and eventually exceeds g (f(0)>g(0) . True

3) True because y intercept is 10 for f while 8 for g

4) True because f(3) <g(3)

5) False both cannot be linear

3 0
2 years ago
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