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AfilCa [17]
3 years ago
15

2.

Mathematics
1 answer:
Bond [772]3 years ago
8 0
Answer: Choice C) Multiplication property of inequality

The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.

Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips

Example 2: 
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip

Similar rules apply to a > b, a \le b and a \ge b
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The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclope
Flura [38]

The number of picture books does Annette have is 76 books.

Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and  he gave her 5 books of fairytales

We need to find the number of picture books does she have

According to the statement the total number of books does Annette have is

3k+4k+5k = 12k

Where k is total number of books

Now , Picture book she have = 3/12k = 1/4k

Encyclopedia she have = 4/12k = 1/3k

Fairy tale she have = 5/12k

Here,

Encyclopedia +14 = Fairy tale

Substituting the values of Encyclopedia and Fairy tale

(1/3 -1/2)k +14 = (5/12k -5 )

Therefore.

(1/6k+14) = (5k/12-5)

Therefore,

14+5 = 5k/12 - k/6

Therefore,

19 = 3k/12

19*4=k

76 = k

Here k = 76 books

Hence the total number of picture books does she have is 76

Learn more about ratio here

brainly.com/question/2328454

#SPJ10

5 0
2 years ago
Prove that a lie divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the ap
Tems11 [23]
<span>Congruence between two triangles means six items, all three sides and all three angles, are congruent. Thus the statement ABC DEF has a very precise meaning. It succinctly summarizes the six statements (assume lines atop these segments): ABDE, BCEF, ACDF, AD, BE, and CF. It is very important to maintain the vertices in the proper order. Not doing so is a common mistake.</span>
8 0
3 years ago
What is 3/4 -7/10 -3/4 and 8/10 In order from least to greatest
zaharov [31]
-3/4, -7/10, 3/4, 8/10 is least to greatest
3 0
3 years ago
Read 2 more answers
Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to
Ksenya-84 [330]
For independent events,
P(X &cap; Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4
5 0
3 years ago
Read 2 more answers
What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?
Butoxors [25]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m = 4 → y=4x+b

and point (1, 6). Substitute:

6=4(1)+b

6=4+b     <em>subtract 4 from both sides</em>

2=b\to b=2

<h3>Answer: y = 4x + 2</h3>
5 0
3 years ago
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