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3 years ago

Simplify. 3/5+(-1/4)÷7/10

Mathematics

2 answers:

melomori [17]3 years ago

5 0

Answer:

1/10

Step-by-step explanation:

There are three simple fractions in this problem: 3/5, -1/4 and 7/10. Rules of order require that the division (-1/4) divided by 7/10 be carried out first; the correct product is -10/28, or -5/14. Then we have 3/5 + (-5/14).

Here the LCD is 70. Then 3/5 + (-5/14) becomes 42/70 - 35/70, which simplifies to 1/10.

Luda [366]3 years ago

3 0

Answer:

1/10

Step-by-step explanation:

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Luba_88 [7]

Answer:

see below

Step-by-step explanation:

We can just add up all of these fractions:

2 1/8 + 7/8 = 2 8/8 = 3

8 5/8 + 4/8 = 8 9/8 = 9 1/8

3 + 9 1/8 = $12\frac{1}{8}$

4 0

3 years ago

Any answers? im bit stuck on this

Aleks04 [339]

Step-by-step explanation:

The vertical angles are congruent. The right angles are congruent. There are 2 angles of a triangle congruent to 2 angles of anther triangle. By AA Similarity the triangles are similar.

Statement A. (vertical angles are congruent)

Statement D. (right angles are congruent)

Triangle AEC is similar to triangle BDC.

Statement E is true but does not help.

Correct statement of proportional side lengths:

BD/AE = CD/CE

x/150 = 200/50

x/150 = 4

x = 600

P.S. I think there is a mistake in the problem. I don't think that statement E is correct. It is a true statement, but it is useless. Statement F is false.

6 0

3 years ago

What is the missing term in the geometric sequence? -6,24 ,? ,384,-1536

FromTheMoon [43]

Assume the missing sequence is x
so -1536 / 384 = x / 24
so x = (24* - 1536) / 384
so x = -96
the answer is C. -96

7 0

3 years ago

Read 2 more answers

Please answer without links just answers QUICK!!!!

SIZIF [17.4K]

Answer:
0.5n = 3.5
3n = 21
8n = 56

3 0

2 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$

(we used two facts: first that : $\dfrac{a}{b} = a \times \dfrac{1}{b}$

and second that: $a^{-b}= \dfrac{1}{a^b}$

Thus, the value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

Learn more about scientific notations here:

brainly.com/question/3112062

8 0

3 years ago