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lesya [120]
3 years ago
13

Francesca bought a rectangular piece of fabric that is 2/3 yard long and 3/4 yard wide. What is the area, in square yards, of th

e piece of fabric?
Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

area \:  = length  \times width \\  =  \frac{2}{3} \times  \frac{3}{4}  \\  =  \frac{(2 \times 3)}{(3 \times 4)}   \\ =  \frac{6}{12}  \\ area =  \frac{1}{2} square \: yards

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There are about 30.2 million small businesses in the u.s and about 30,000 other larger businesses. What percent of all businesse
Leni [432]
<h3>Answer:</h3>

99.90%

<h3>Step-by-step explanation:</h3>

STEPS:

  1. Find the total amount
  2. Find out what number of what we want to know the percentage of there are out of the whole amount there is. (Divide the percentage amount we want to find by the total amount)
  3. Turn into a percentage by multiplying by 100

Find the total sum

30.2 mil = 30,200,000 small businesses + 30,000 other = 30,230,000 total

Find the fraction that small businesses make up of the total

\frac{small~businesses}{total~businesses} = \frac{30,200,000}{30,230,000} = 0.9990

Convert to percentage

0.9990 → % = 0.9990 × 100 = 99.90%

Hope this helps,

5 0
3 years ago
Find the surface area of the composite figure​
Gnoma [55]

Answer:

=280 in^2

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

2*10=20+20=40

4*10=40+40=80

4*2=8+8=16

40+80+16=136

The surface area for the pink rectangular prism is 136 in^2.

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

4*7=28+28=56

4*7=28+28=56

4*4=16+16=32

56+56+32=144

The surface area for the green rectangular prism is 144 in^2.

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

136+144=

=280 in^2

----------------------------------------

Hope this is helpful.

6 0
3 years ago
Read 2 more answers
during a 500-meter race, a runner ran the first 400 meters in 1 minute and 25 seconds.she finished the race i 2 minutes and 15 s
mart [117]

She ran the last 100 meters in 2:15 -1:25 = 0:50, so her average speed was

... (100 m)/(50 s) = 2.0 m/s

6 0
3 years ago
Can someone help me with circles plz
Brilliant_brown [7]

Answer:

Step-by-step explanation:

What do you mean?

7 0
3 years ago
The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
Dimas [21]
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
5 0
3 years ago
Read 2 more answers
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