<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%20-%20%20%5Cfrac%7Bb%20%7B%7D%5E%7B2%7D%20%7D%7Ba%7D%20%7D%7B1%20-%20%20%5Cfrac

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3 years ago

%7Bb%7D%7Ba%7D%20%7D%20" id="TexFormula1" title=" \frac{a - \frac{b {}^{2} }{a} }{1 - \frac{b}{a} } " alt=" \frac{a - \frac{b {}^{2} }{a} }{1 - \frac{b}{a} } " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Simplifying the Expression: The Answer is a+b

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Solve for x 6(x-9)=3x+2 give your answer as an improper fraction

MAXImum [283]

Answer:

56/3

Step-by-step explanation:

6x-54=3x+2

3x-54=2

3x=56

x=56/3

3 0

4 years ago

Read 2 more answers

Five students wrote a mathematics test. The average mark was 68. If the marks for four of the students were 75, 62, 84 and 53, t

konstantin123 [22]

Answer:

Step-by-step explanation:

Use the formula for the mean of a set of numbers:

sum of the numbers

average = --------------------------------

count of numbers

Here we know that the average mark was 68, so we can write:

75 + 62 + 84 + 53 + x

average = 68 = ----------------------------------

or 274 + x

68 = -------------------

Solving for x, we multiply both sides by 5: 340 = 274 + x.

Subtracting 274 from both sides effectively isolates x:

340 = 274 + x

- 274 -274

------------------------

66 = x

The fifth student's mark was 66.

4 0

3 years ago

Dilly is 7 years younger than Dally. In 4 years time she will be half Dally’s age. What is the sum of their ages now?

Step2247 [10]

Answer:

The sum of their ages now is 13

Step-by-step explanation:

Dally's age = x

Dilly's age = x - 7

In 4 years time Dilly will be half Dally’s age, therefore:

Dilly's age plus four equals to half of Dally’s age plus four,

replacing with the values and variables we know:

x - 7 + 4 = (x + 4) /2

x - 3 = (x + 4) /2

2x - 6 = x + 4 (Multiplying by 2 at both sides)

2x - x = 4 + 6 (Like terms)

x = 10 ⇒ x - 7 = 3

The sum of their ages now is 13 (10 + 3)

4 0

3 years ago

You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000 and you had medical expenses of $5

iren2701 [21]

No portion of your medical expenses you can deduct

Step-by-step explanation:

You discovered you can deduct medical expenses over 6% of

your income

Your income is $42,000

You had medical expenses of $567

We need to find the portion of your medical expenses you can deduct

∵ Your income = $42,000

∵ You can deduct medical expenses over 6% of your income

- Find the 6% for your income

∵ 6% of the income = $\frac{6}{100}$ × 42,000 = $2520

∴ 6% of your income is $2520

∵ You can deduct medical expenses over 6% of your income

∴ If your medical expenses greater than $2520, then you can

deduct the value greater than it, but if your medical expenses

smaller than $2520, then you can not deduct any value

∵ You had medical expenses of $567

∵ $567 < $2520

∴ There is no value you can deduct from your medical expenses

No portion of your medical expenses you can deduct

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

4 0

3 years ago

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

3 years ago