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kenny6666 [7]
3 years ago
11

Which expression has a value greater than 43 ? PLEASEEE HELP!

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

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Here is a flower made up of yellow hexagons, red trapezoids, and green triangles. How many copies of this flower pattern could y
olganol [36]

Answer:

Part a) You could build 5 copies of the flower pattern  

Part b) You would have 40 red trapezoids left over

Step-by-step explanation:

The complete question in the attached figure

Part a)

Let

x -----> the number of yellow hexagons

y ----> the number of red trapezoids

z ----> the number of green triangles

we know that

The flower pattern has the following ratios

\frac{x}{y}=\frac{6}{2} ---->\frac{x}{y}=3 ----> \text {equation A}

\frac{x}{z}=\frac{6}{9} -->\frac{x}{z}=\frac{2}{3} --> \text {equation B}

\frac{y}{z}=\frac{2}{9} ------> \text {equation C}

Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles

1) For x=30

Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)

30/6=5\ copies

Verify the quantity of y needed and the quantity of z needed

Find the value of y

\frac{30}{y}=3 ---->y=30/3=10\\

10 < 50 ----> is ok

Find the value of z

\frac{30}{z}=\frac{2}{3} ---> z=30*3/2=45

45<60 --->is ok

2) For y=50

Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)

50/2=25\ copies

Verify the quantity of x needed and the quantity of z needed

Find the value of x

\frac{x}{50}=3 ---->x=50*3=150

150 > 30 ----> is not ok

3) For z=60

Divide 60 by 9 (remember that in one pattern there are 9 green triangles)

60/9=6.7 copies

Round down

6 copies -----> 6(9)=54 green triangles

Verify the quantity of x needed and the quantity of y needed

Find the value of x

\frac{x}{54}=\frac{2}{3} ---> z=54*2/3=36

36> 30 --->is not ok

therefore

You could build 5 copies of the flower pattern

Part b)

we know that

x:y:z=6:2:9

If you build 5 copies

1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over

2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over

3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over

therefore

You would have 40 red trapezoids left over

4 0
3 years ago
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