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2 years ago

6

The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How fa

r did they travel in the five hours? How do you know? Explain (write a prportion)

1 answer:

Zinaida [17]2 years ago

6 0

(2 * 70) + (3 * 35) = 140 + 105 = 245 miles

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Miguel created the ratio table below to show how he uses the money he earns at work. How much money will he save if he earns 120

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The money he will save if he earns $120.00 is <u> $90.00</u>.

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Given:

In the figure is the ratio of the savings and the earnings.

Now, to find out that how much savings will be if Miguel earns $120.00.

We need to get the percentage of the ratio of the earning and saving.

So, according to the table:

If he earns $10.00 then he saves $7.50.

$\frac{7.50}{10}\times 100$

$=0.75\times 100$

$=75$

So, if Miguel earns $10.00 he save the 75% of it.

If he earns $50.00 then he saves $37.50.

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And, if he earns $150.00 and save $112.50 then it is also the 75% of the earning as mentioned above.

Now, to find the saving of the earning $120.00.

So, it will be 75% of the earning as we observe in the above case:

75% of $120.00

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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

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2 years ago