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2 years ago

Simplify the following fraction expressions. Show all of your work. a. 3/4+2/3 b. 7/8-1/4 c. 3/5.1/3 d. 4/7.2/3

Mathematics

1 answer:

mestny [16]2 years ago

6 0

Answer:

Step-by-step explanation:

a. 9/12 + 8/12 = 17/12= 1 5/12

b. 7/8 - 2/8 = 5/8

c. 3/5 x 1/3 = 3/15 = 1/5

d. 4/7 x 2/3 = 8/21

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Round 299 to the nearest hundred. Enter your answer in the box below.

Troyanec [42]

Answer:

300

Step-by-step explanation:

hundreds tens ones

2 9 9

We look at the tens

It is 5 or higher so we round up the hundreds place

2 becomes 3

300

7 0

2 years ago

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Are the two triangles similar?

Tpy6a [65]

Answer:

Option B Yes by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

$\frac{HM}{MK}=\frac{GM}{MJ}$

substitute the values and verify

$\frac{8}{12}=\frac{6}{9}$

simplify

$\frac{2}{3}=\frac{2}{3}$ -------> is true

therefore

The triangles are similar by AAA------> the three angles are congruent

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3 years ago

Write an equation for slope of -2/3 and y-intercept of 5

goldenfox [79]

Answer:

y=-2/3x+5

Step-by-step explanation:

8 0

3 years ago

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Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges

vagabundo [1.1K]

Answer:

The sequence diverges

Step-by-step explanation:

The given sequence is 1, 4, 15, 64, 128, ...

By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;

The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞

Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.

5 0

2 years ago

In the cordinate plane what is the length of the line segment that connects points at (0, -1) and (-7, -2) ? Enter your answer i

allsm [11]

Answer:

≈ 7.07

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)

d = $\sqrt{(-7-0)^2+(-2+1)^2}$

= $\sqrt{(-7)^2+(-1)^2}$

= $\sqrt{49+1}$ = $\sqrt{50}$ ≈ 7.07

4 0

3 years ago