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3 years ago

10

write 2/3 and 3/5 as decimals. Identify what number classifications the two numbers share and how their classifications are diff

erent? Explain completely.

1 answer:

malfutka [58]3 years ago

4 0

Answer:

See below

Step-by-step explanation:

<u>Given</u>

Fractions 2/3 and 3/5

<u>As decimals:</u>

2/3 = 0.66666...

3/5 = 0.6

The first one is non-terminating repeating decimal as the digit 6 is repeated

The second one is terminating decimal

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Rob is cooking a cake.The recipe calls for 9 cups of flour.He has already put in 3 cups. How many more cups does he need to put

svetoff [14.1K]

Answer:

9-3= 6 Cups

Step-by-step explanation:

Recipe needs 9 cups of flour, Rob has added 3 cups already so he needs to add 6 more cups to make it 9 cups.

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3 years ago

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mafiozo [28]

Answer:

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Step-by-step explanation:

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2 years ago

The Boy Scouts self popcorn Ethan sold 9 small

NARA [144]

Answer:

The cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag of popcorn = $4.75

Step-by-step explanation:

Here, let us assume the cost of 1 small bag of popcorn = $ m

And, the cost of 1 large bag of popcorn = $ n

So, the cost of 9 small bag = 9 x ( cost of 1 small bag) = 9 x (m) = 9 m

and the cost of 2 large bag = 2 x ( cost of 1 large bag) = 2 x (n) = 2 n

Also, cost of 9 small + 2 large bag of popcorn sold by Ethan for $ 36.05 .

⇒ Total cost of 9 small + 2 large bag of popcorn = 9 m + 2 n

⇒ 9 m + 2 n = $ 36.05 .......... (1)

Also, the cost of 5 small bag = 5 x ( cost of 1 small bag) = 5 m

and the cost of 7 large bag = 7 x ( cost of 1 large bag) = 7 n

Also, cost of 5 small + 7 large bag of popcorn sold by Jack for $ 48 .

⇒ Total cost of 5 small + 7 large bag of popcorn = 5 m + 7 n

⇒ 5 m + 7 n = $ 48 .......... (2)

Now, solving (1) and (2) for the values of m and n , we get

9 m + 2 n = 36.05

5 m + 7 n = 48

Multiply (1) with (-7) and (2) by 2 , add both equation we get:

-63 m - 14 n + 10 m + 14 n = -252.35 + 96

or, - 53 m = -156.35

or, m = 2.95

Now, put the value of m in (1), we get: 5 ( 2.95) + 7 n = 48

or, n = 33.25 /7 = 4.75

Hence the cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag = $4.75

6 0

3 years ago

Read 2 more answers

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizont

netineya [11]

This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
$x=\frac{-1.53}{2*-.03}=25.5$

Plugging this into the given formula:
$y=-0.03(25.5)^2+1.53(25.5)=19.5075$
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
$0=-0.03x^2+1.53x=x(-0.03x+1.53)$

Then by the zero product property (or the no zero divisors rule), we have:
$x=0$ (this is the x value where the ball is kicked from)
$-0.03x+1.53=0$
$-0.03x=-1.53$
$x=51$

So the ball travels 51 yards in total.

4 0

3 years ago

Read 2 more answers

ABCD is a rectangle that represents a park. The lines show all the paths in the park. The circular path is in the center of the

djyliett [7]

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) = √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

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3 years ago