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SOVA2 [1]
1 year ago
13

The exchange rate in some prehistoric village was 6 jagged rocks for every 2 smooth pebbles. Also, one shiny rock could be trade

d for 3 smooth pebbles. If Joaquin has 30 jagged rocks, what is the maximum number of shiny rocks he could trade for?
A. 6
B. 4
C. 5
D. 3
Mathematics
1 answer:
Scrat [10]1 year ago
4 0

30 Jagged rocks are the same 3 shiny rocks using the exchange rates provided(i.e. option D)

What is an exchange rate?

Exchange rate means the rate at which one item exchanges hands with another, for instance, in this case, 6 jagged rocks are equivalent to 2 smooth pebbles.

6 jagged rocks=2 smooth pebbles

divide both sides by 2

6/2 jagged rocks=2/2 smooth pebbles

3 jagged rocks=1 smooth pebble

We can rewrite as below:

1 jagged rock=1/3 smooth pebble

30jagged rocks=1/3*30 smooth pebbles

30 jagged rocks=10 smooth pebbles

Now we need to convert 10 smooth pebbles to shiny rock equivalence

3 smooth pebbles=1 shiny rock

1 smooth pebble=1/3 shiny rock

10 smooth pebbles=1/3*10 shiny rocks

10 smooth pebbles=3 shiny rocks( even though it is 3.33, but the final answer should be rounded to a whole number)

Read more about exchange rate in the link below:

brainly.com/question/2202418

#SPJ1

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Two similar triangles have corresponding sides measuring 3 cm and 7 cm determine the ratio of their respective areas
Scrat [10]
If two similar triangles have side lengths 3cm and 7cm then we can determine that the scale factor for the lengths is: 7/3

Now, we have to work out the area scale factor !

This is simple, since area is given in cm² then all we have to do is square our original scale factor!

So,

7/3² = 49/9

So, we can say that the ratio of the area would be:

x : 49/9x

Hope this helps! <3
8 0
2 years ago
Eric created a rectangular patio using 1 foot square paving stones,which are sold in batches by the dozen. The patio measures 7
Nuetrik [128]
I believe it is 56 because 7•8 is 56 and 1•56 is 56
6 0
2 years ago
What does the product rule of exponents say? A. When dividing like bases, bring the smaller exponent to the base with the larger
ddd [48]
B is ya answer......................
7 0
2 years ago
Read 2 more answers
How do you solve 4x+10=3x+37
lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 10 = 3x + 37

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 3x on both sides:                    x + 10 = 37
  2. Subtract 10 on both sides:                     x = 27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(27) + 10 = 3(27) + 37
  2. Multiply:                        108 + 10 = 81 + 37
  3. Add:                               118 = 118

And we have our final answer!

7 0
3 years ago
Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/
Nikitich [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Blue tripp:

Hikes 2/3 miles every 1/2 hour

Yellow troop:

Hikes 3/4 miles every 1/3 hour

How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

To hike 1 1/2 miles

Blue troop:

2/3 miles = 1/2 hours

3/2 miles = x

2/3x = 3/4

x = 3/4 * 3/2

x = 9/8 = 1 1/8 hours

Yellow troop:

3/4 = 1/3 hours

3/2 = x

3/4x = 3/6

x = 3/6 * 4/3

x = 12/18 = 2/3 hours

To hike 1/2 mile :

Blue troop:

2/3 miles = 1/2 hours

1/2 miles = x

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 hours

Yellow troop:

3/4 = 1/3 hours

1/2 = x

3/4x = 1/6

x = 1/6 * 4/3

x = 4/18 = 2/9 hours

To hike 3/4 miles :

Blue troop:

2/3 miles = 1/2 hours

3/4 miles = x

2/3x = 3/8

x = 3/8 * 3/2

x = 9/16 hours

Yellow troop:

3/4 = 1/3 hours

3/4 = x

3/4x = 3/12

x = 1/4 * 4/3

x = 4/12

x = 1/3 hours

4 0
2 years ago
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