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4 years ago

List four rational number between -4/5 and -2/3

Mathematics

1 answer:

MatroZZZ [7]4 years ago

4 0

Answer:

-31/45, -32/45, -33/45, -34/45, and -35/45

Step-by-step explanation:

Rational numbers are any number that can be written as a ratio of two integers.

First, find the common denominator using the least common multiple (LCM).

The LCM of 3 and 5 is 15. So the fractions can be written as:

-12/15 and -10/15

If we keep the denominator 15, then only one rational number can be written between these two: -11/15. We need to find four rational numbers. So instead, let's use a denominator of 45. The fractions become:

-36/45 and -30/45

Now we can write five rational numbers between those:

-31/45, -32/45, -33/45, -34/45, and -35/45.

Choose any 4 that you like.

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in order to make 5 dozen chocolate chip cookies, I need to use 2 cups of sugar. (a) complete the table, then use the table to dr

sergejj [24]

Answer:

sugar| cookies

(cups) | (dozens)

1 | 2.5

2 | 5

3 | 7.5

4 | 10

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3 years ago

How would you write this as an equation?

Nat2105 [25]

Answer:c+2

Step-by-step explanation:

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3 years ago

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Nastasia [14]

Answer:

Step-by-step explanation:

1) 5 - [-5] = 5 + 5 = 10

2)8 - 13 = 8 + (-13) = -5

3) 12 +(-3) = 9

4) x + (-7) = 5

x - 7 = 5

x = 5 + 7

x = 12

We need to add 12 to (-7) to get 5

5) 7 - x = -5

7 = -5 +x

7 + 5 = x

12 = x

We need to take away 12 to 7 to get (-5)

6) 7 - (-10) = 7 + 10 = 17

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3 years ago

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

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3 years ago

The graph of the piecewise function f(x) is shown.

iris [78.8K]

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3. The range is D || {y | −5 ≤ y ≤ −1}

6 0

3 years ago

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