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3 years ago

Amanda receives money from her relatives every year on her birthday. Last year, she

Mathematics

1 answer:

umka21 [38]3 years ago

8 0

Answer:

We can call last years amount as 100 percent. that means 68-100. We want to know was 85 is so we can say 85-x. We have 68-100

85-x

Cross multiplying and solving for x we get 8500/68 =x x=125, so the answer is 125.

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When (81x^2/7) (2/9x^3/7) is simplified, it can be written in the form ax^b where a and b are real numbers. Find ab.

larisa86 [58]

Answer:

In improper form your solution will be $\frac{90}{7}$ . As a mixed fraction it will be $12\frac{6}{7}$ .

Step-by-step explanation:

The first thing we want to do here is to simplify this expression. After doing so, " a " and " b " should be multiplied to result in a possible improper fraction,

$\left(81x^{\frac{2}{7}}\right)\:\left(2/9x^{\frac{3}{7}}\right)\:$ - Apply exponential rule " $\:a^b\cdot \:a^c=a^{b+c}$ "

= $81\cdot \frac{2}{9}x^{\frac{2}{7}+\frac{3}{7}}$ - Combine fractions $\frac{2}{7}$ and $\frac{3}{7}$

= $81\cdot \frac{2}{9}x^{\frac{5}{7}}$ - Multiply the fractions, and simplify further

= $\frac{162x^{\frac{5}{7}}}{9}$ = $18x^{\frac{5}{7}}$ - This is out simplified expression

Now that we have this simplified expression, we can see that a = $18$ , and b = $\frac{5}{7}$ . Therefore, multiplying the two we should receive the improper fraction as follows,

$18 * \frac{5}{7}$ = $\frac{90}{7}$ - Note that this is in improper form. If you want your solution in a mixed fraction, it will be $12\frac{6}{7}$ .

5 0

4 years ago

5(3x + 5)<br><br> ( Please Help )

BARSIC [14]

A(b+c) = ab + ac

5(3x + 5) = 15x + 25

7 0

3 years ago

The elevation of Mount Everest is 29028 feet . The elevation of the dead sea is - 485 feet. What is th difference in the elevati

LUCKY_DIMON [66]

Difference = subtract
29028-(-485) if you subtract a negative the sign changes to positive and the subtraction changes to addition so ur answer is 29513

4 0

3 years ago

Read 2 more answers

A guy wire 1393 feet long is attached to the top of a tower. When pulled taut, it touches level ground 741 feet from the base of

andrew-mc [135]

Answer:

57.9°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between trig functions and sides of a right triangle. Here, you're given the side adjacent to the angle of interest, and the hypotenuse of the triangle. This suggests the CAH relationship is the one of interest:

Cos = Adjacent/Hypotenuse

cos(angle) = (741 ft)/(1393 ft)

angle = arccos(741/1393) ≈ 57.863° . . . . . use the inverse cosine function

angle ≈ 57.9°

The wire makes an angle of approximately 57.9° with the ground.

5 0

3 years ago

What is the factorization of 121b^4-49

Nezavi [6.7K]

121^4-49

(11^2+7)(11^2-7) 1. 121. 49

11. × 11. 7 × 7

4 0

3 years ago