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tresset_1 [31]
3 years ago
8

What is the answer to j/4-8<4

Mathematics
1 answer:
xeze [42]3 years ago
7 0

To solve the above inequality we will try to isolate j by using the opposite operation of a number that we want to remove. So,

\frac{j}{4}-8

\frac{j}{4} -8+8 Add 8 to each sides.

\frac{j}{4} By combining the like terms.

\frac{j}{4}*4 Multiply each sides by 4 to isolate j.

j<48 By simplifying.

So, the answer is j<48.

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kicyunya [14]
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</span><span>12/4, </span>4.13,  4 1/3 , the square root of 43
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gregori [183]

Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:

3 63/80 => 3 .788 approx.

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3 years ago
Perform each of the following computations using the measured quantities below.
mylen [45]
<h2>Question </h2>

Perform each of the following computations using the measured quantities below.

Write your final answer with the correct number of significant figures in proper scientific notation (one non-zero number to the left of the decimal point).

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b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________

<h2>Answer:</h2>

(a) 9.6 x 10²

(b) -6.1 x 10⁻³

<h2>Step-by-step explanation:</h2>

(a) 917.2 + 45.63

<em>First add the two numbers as follows (ensure that the decimal numbers are well aligned);</em>

   9  1   7 . 2

+   <u>   4  5 . 6  3</u>

   <u>9  6 2  . 8  3</u>

<u></u>

<em>To write the result in a proper scientific notation (one non-zero number to the left of the decimal point), </em>

i. Express the number is standard form

962.83 = 9.6283 x 10²

<em>Note that;</em>

From the result in (i)

9.6283 = mantissa

10 = base

² = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

9.6 x 10²

Therefore, the result in the proper scientific notation is <em>9.6 x 10²</em>.

(b)  3.423 x 10⁻⁴ - 6.42 x 10⁻³

Find the difference between the two numbers as follows;

i. Re-write the numbers so that they both have the same exponents:

0.3423 x 10⁻³ - 6.42 x 10⁻³

ii. Factor out 10⁻³

10⁻³(0.3423 - 6.42)

iii. Solve the bracket

10⁻³(-6.0777)

iv. Rewrite the result in (iii)

-6.0777 x 10⁻³

<em>To write the result in a proper scientific notation (one non-zero number to the left of the decimal point), </em>

i. Express the number is standard form

-6.0777 x 10⁻³       [already in standard form]

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From the result in (i)

-6.0777 = mantissa

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ii. Express the mantissa of the number in 1 decimal place.

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Therefore, the result in the proper scientific notation is -6.1 x 10⁻³.

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Answer:

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Step-by-step explanation:

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substitute for x:

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x = 10 + 5 = 15

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