Here is a flower made up of yellow hexagons, red trapezoids, and green triangles. How many copies of this flower pattern could you build if you had 6 yellow hexagons, 2 red trapezoids, and 9 green triangles?

Answer:

Step-by-step explanation: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

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)

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

Find the value of y

10 < 50 ----> is ok

Find the value of z

45<60 --->is ok

2) For y=50

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

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

Find the value of x

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

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

Suppose your budget allows you to spend no more than $24
for decorations for a party. Streamers cost $2 a roll and tablecloths cost $6 each.
Use intercepts to graph the inequality that represents the situation. Find three
possible combinations

of streamers and tablecloths you can buy.

Please help Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown. Each section will be a different color, so they need to know the area of each section.
2. To find the area of each section, what do you need to do to the total area? (5 points)
3. Write an expression for the area of each section of the wall. (5 points)

rewrite this so it does not have fractions

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(2 by the power of 3)by the power of 1 equals 16,
Why is it incorrect?

4+3×6−2 =?
I think it's 40 but I'm not sure
Help please