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goldfiish [28.3K]
3 years ago
8

Identify the number as rational or irrational. Explain. 291.87

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
I believe it would be irrational cause it is written as a decimal and is not repeating.
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Lynn has a box of crayons.
Scrat [10]

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

1-\frac{4}{9}=\frac{5}{9}

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}

Thus, the portion of yellow crayons is:

\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}

This fraction of x crayons is equal to 14, thus:

\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}

x = 72

There are 72 crayons in the box

7 0
2 years ago
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
How many ways are there to distribute n graded homeworks to n students such that none of them gets their own homework back?
Yuri [45]
Assume N students

Student 1 can get (n-1) papers
Student 2 can get (n-1) papers
Student 3 can get (n-1) papers
etc
Student N can get (n-1) papers

So for N students you can have N(n-1)
8 0
2 years ago
Write the equation of a line that is perpendicular to y=-x-6y=−x−6y, equals, minus, x, minus, 6 and that passes through the poin
Anni [7]
The given line has a slope of -1 so the perpendicular line will have a slope of -1/1=1
y=x+5
7 0
3 years ago
Read 2 more answers
PLEASEEE HELP ME WITH THIS!!!
andreev551 [17]

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

7 0
2 years ago
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