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Y_Kistochka [10]
3 years ago
7

Missy uses 1 hexagonal, 2 rectangular, and 5 triangular pieces of fabric to make 1 bug design for a quilt. If she uses 80 pieces

in all to make bug designs, how many of each shape does she use? Enter the correct answer.
Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

10 Hexagonal pieces, 20 Rectangular pieces and 50 Triangular pieces.

Step-by-step explanation:

First let's check how many pieces Missy uses to make one bug design:

1 hexagonal + 2 rectangular + 5 triangular = 8 total pieces.

Is the uses 80 pieces in total, she made a total of 80/8 = 10 bug designs

So now we can calculate how many pieces of each shape she uses just multiplying the amount of bug designs (10) by the number of pieces of each shape:

Hexagonal pieces: 1 * 10 = 10 pieces

Rectangular pieces: 2 * 10 = 20 pieces

Triangular pieces: 5 * 10 = 50 pieces

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56x² - 49x + 14 = 7(8x² - 7x +2)

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The greatest common factor of 56, 49, and 14 is 7.
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A kayaker travels x miles per hour downstream for 4 hours. On the 6-hour return trip, the kayaker travels 2 mile per hour slower
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                              time       *      rate          =       distance

Downstream           4           *       x              =          4(x)

Upstream                6           *     x - 2           =        6(x - 2)

distance downstream = distance upstream:

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                               4x  = 6x - 12

                              -2x  =   -12

                                 x   =    6

Distance Upstream: 4x   = 4(6)   = 24

Distance Upstream: 6(x - 2)  = 6(6 - 2)   = 6(4)   = 24

Total distance traveled is Upstream + Downstream = 24 + 24 = 48

Answer: 48 miles

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What is the GCF of 48m5n and 81m2n2
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The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula
Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015  = 45,000

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= Population in year 2015 - Population in the year 2005

= 45,000  - 15, 000

= 30,000

⇒ The change in population in 10 years  = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

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⇒ The change in population in next 10 years

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or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0
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Answer:

Step-by-step explanation:

2x^2-6x+10=0

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2(x-(3/2))^2-9/4)+10=0

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