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JulsSmile [24]
3 years ago
14

Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.

See attached drawing.

For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]

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​
pashok25 [27]

Answer:

Let's call:

f = price of 1 cup of dried fruit

a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:

a = (6 - 3f) / 4

Then substitute in the second equation:

41/2 f + 6 · (6 - 3f) / 4 = 9

41/2 f + 9 - 9/2 f = 9

16 f = 0

f = 0

Now, substitute this value in the formula found for a:

a = (6 - 3·0) / 4

  = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

Step-by-step explanation:

8 0
2 years ago
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.
DerKrebs [107]

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

=============================================================

Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

6 0
3 years ago
Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error? ​
KonstantinChe [14]

Choice 1. He did not square 40, he just multiplied by 2.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.

Step 2:

According to the Pythagorean theorem,

9^{2} +40^{2} = c^{2}.

81 + 1600 = c^{2} .

1681 = c^{2} .

\sqrt{1681} = c.

This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.

5 0
3 years ago
Can some one plz help I don't know how to do this
prohojiy [21]
This is a hard one so what you do is make a number line and put -5x, -9, and -24 hope this helps
4 0
3 years ago
Explain how to find 27% of 16 using multiplication by
just olya [345]

Answer:

4.32

Step-by-step explanation:

You can multiply 16 by 0.27 to get the answer.

16*0.27=4.32

You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.

6 0
2 years ago
Read 2 more answers
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