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Kay [80]
3 years ago
14

Addison made fancy orange costume decorations for each of the 9 dancers in her year-end dance performance. She cut 7 1/5 yards o

f ribbon into equal pieces to make the decorations. How long was each piece of ribbon?
Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

0.8 yards or 28.8 inches

Step-by-step explanation:

I always turn fractions into decimals because it is easier to figure it out and simpler.

So 1/5 would be 2/10 because you multiply the whole thing by 2 to make the denominator 10 so you can turn it into a decimal.

So the decimal is 0.2

You would divide 7.2 by 9 to get 0.8 yards which is 28.8 inches.

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Carlotta subscribes to the HotBurn music service. She can download no more than 12 song files per week. Carlotta has already dow
UNO [17]

Answer:

Inequality: x+10\leq 12

Inequality solved: x\leq 2

The graph is attached.

Step-by-step explanation:

You need to remember the meaning of the inequalities symbols:

: Less than.

> : Greater than.

\leq : Less than or equal to.

\geq : Greater than or equal to.

Let be "x" the number of more songs Carlotta can download.

According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol \leq.

Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

x+10\leq 12

In order to solve it, you must subtract 10 from both sides:

x+10-10\leq 12-10\\\\x\leq 2

Plot this result on a number line.

Since the symbol of the inequality is \leq, the dot must be filled (Observe the number line attached).

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3 years ago
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6 0
2 years ago
Solve the following system of equations algebraically:<br> y = x^2+7x−4 <br> y = −x−4
oksian1 [2.3K]
Y = x² + 7x - 4
y = -x - 4

x² + 7x - 4 = -x - 4
      + x       + x
x² + 8x - 4 = -4
           + 4  + 4
     x² + 8x = 0
x(x) + x(8) = 0
    x(x + 8) = 0
x = 0  or  x + 8 = 0
                   - 8  - 8
                     x = -8

      y = -x - 4
      y = -0 - 4
      y = 0 - 4
      y = -4
(x, y) = (0, -4)
         or
       y = -x - 4
       y = -(-8) - 4
       y = 8 - 4
       y = 4
 (x, y) = (-8, 4)

The solutions are (0, -4) and (8, -4).
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