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BaLLatris [955]
4 years ago
12

Jake and his dad are making flags for a scouting project.They are going to make(6,12,18) flags . Each flag takes (2/3,3/4,5/6) o

f a yard of cloth. How many yards of cloth will they need in all?
Mathematics
1 answer:
evablogger [386]4 years ago
8 0

Answer:

The total yards of cloth needed for the flags = 28

Step-by-step explanation:

Given:

Jake and his dad are making (6,12,18) different types of flags.

Each flag takes (\frac{2}{3},\frac{3}{4},\frac{5}{6}) of a yard of cloth.

To find the total yards of cloth needed in all.

Solution:

Flag A :

Each flag requires = \frac{2}{3} of a yard of cloth

Total number of this flag = 6

Total cloth required for this flag = \frac{2}{3}\times 6 = 4\ yd

Flag B:

Each flag requires = \frac{3}{4} of a yard of cloth

Total number of this flag = 12

Total cloth required for this flag = \frac{3}{4}\times 12 = 9\ yd

Flag C:

Each flag requires = \frac{5}{6} of a yard of cloth

Total number of this flag = 18

Total cloth required for this flag = \frac{5}{6}\times 18 = 15\ yd

Thus, total yards of cloth needed for the flags = 4\ yd+9\ yd+15\ yd =28\ yd

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Answer:

x-11

Step-by-step explanation:

Let

x ----> the number

we know that

The algebraic expression of the phrase "the difference of a number and 11" is equal to subtract 11 from the number or is equal to the number minus 11

so

x-11

7 0
3 years ago
The sixth-graders at Judith's school got to visit either the science museum or the history museum. 23 students picked the scienc
fomenos

Answer: 24 to 23 or 24/23 or 24:23

Step-by-step explanation:

A ratio is a comparison, and it is often written as a fraction.  Since it wants the ratio of those that went to the history museum first, you put 24 first, then it's compared to those that went to the science museum second, so you put 23 second.  Write it as a fraction 24/23.

3 0
3 years ago
Which set of numbers represent the lengths of the sides of a right triangle?
inna [77]
The basic deal is a^2 + b^2 = c^2
A= incorrect, 81 + 100 does not equal 121.
B= incorrect, 64 + 144 does not equal 256.
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5 0
3 years ago
The count in a bacteria culture was 800 after 15 minutes and 1200 after 40 minutes. Assuming the count grows exponentially,
Maslowich

Answer:1) bacteria size = b(initial) * e^(r * t)  

initial size = 300  

final size = 1600.

 

Substituting the values into the main equation:

1600 = 300 * e^(r * 35 - 20)  

solving for 'r'.

1600 = 300 * e^(r * 15)  

1600/300 = e^(r * 15)  

taking natural log on both sides to eliminate the power

ln(16/3) = ln[e^(r * 15)]  

ln(16/3) = r * 15  

r  = ln(16/3) / 15

  = 0.11159843

  = 11.16%  

To find the initial bacteria size,  

Given: t = 20  

300 = b * e^(0.1116 * 20)  

Solving for b:

300 = b * e^2.232  

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Step-by-step explanation:

3 0
3 years ago
Find the área of a trapezoid with a height of 4ft, base of 5ft and short base of 2
sweet [91]

Answer:

12

Step-by-step explanation:

  The first thing you would want to do is to draw it out. Once you've drawn it out, you want to add the "imaginary lines" so the trapezoid will form into a rectangle. Then find out the area which is L * W. The area for the rectangle is 20.

   Finally you want to take those imaginary pieces and find the area of those. Which would be three and then you want multiply by two since there is two of them. The last thing you need to do is subtract the six from 20.

  <u>Therefore the answer is 12.</u>

 

7 0
3 years ago
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