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lidiya [134]
4 years ago
11

How to convert 45% into a fraction

Mathematics
1 answer:
JulsSmile [24]4 years ago
8 0

Answer:

\frac{9}{20}

Step-by-step explanation:

Per cent means ' out of a hundred' , thus

45% = \frac{45}{100} ← divide ( cancel) both 45 and 100 by 5

45% = \frac{9}{20} ← in simplest form

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What is the interval notation for the compound inequality? x is less than or equal to -4 or x is greater than or equal to 5?
Tems11 [23]

x is less than or equal to -4 or x is greater than or equal to 5

x <= -4 or x>= 5

There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality

for x<=-4 , x starts at -4  and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets

Interval notation is (-∞ , -4]

for x>= 5 , x starts at 5  and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5

Interval notation is [5 , ∞)

Now combine both notation by a 'U' symbol Union

(-∞ , -4] U [5 , ∞)

5 0
3 years ago
List all the pairs of integers with a product of 36. then find the pair whose sum is 20
RoseWind [281]
This is an excellent practice for the solution of quadratic equations.

1*36=36  => (1,36)
2*18=36  => (2,18)
3*12=36  => (3,12)
4*9=36   => (4,9)
6*6=36   => (6,6)
9*4=36   => (9,4)
12*3=36  => (12,3)
18*2=36  => (18,2)
36*1=36  => (36,1)

We can see that the sum decreases until the two factors are close (or equal) and then increases again.

The pair of integers with a sum of 20 is therefore (2,18) or (18,2).
4 0
4 years ago
Read 2 more answers
Solve the compound inequality. Graph your solution. 2x – 2 &lt; –12 or 2x + 3 &gt; 7 x &lt; –5 or x &gt; 5 x &lt; –5 or x &gt; 2
Brilliant_brown [7]

Answer:

The solution region is x < –5 and x > 2

Step-by-step explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A. 2x-2 < -12

2x-2 < -12 i.e. 2x < -10 i.e. x < -5

B.  2x+3 > 7

2x+3 > 7 i.e. 2x > 4 i.e. x > 2

So, we get the solution is x or x>2 and the plotted region can be seen below.

4 0
3 years ago
To determine a student’s overall test score for the semester, Ms. Lopez throws out the lowest test score and takes the average o
Ugo [173]

Answer:

80%

Step-by-step explanation:

I'm assuming you want the average of the class.

62 + 78 + 83 + 84 + 93

= 400

400/5

= 80

Therefore Victor's overall test score is 80%

6 0
3 years ago
Which formula best expresses your monthly ending balance?
makvit [3.9K]
Slope formula is the answer
8 0
3 years ago
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