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3 years ago

Solve for x. x/9 =14 (A) 126 (B) 130 (C)139 (D)146

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Answer:

(A) 126

Step-by-step explanation:

x/9 =14

Multiply each side by 9

x/9*9 =14*9

x =126

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In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?

natulia [17]

27-18=9 (difference between)
9/18=0.5 (9 as a percentage of original as a decimal)
0.5x100=50 (as a percentage)

50% increase

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N the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a large

MaRussiya [10]

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Describe how to use a ten fact to find the difference for fifteen take away eight

sertanlavr [38]

15 - 8

8 + 2 is 10, so there are 5 leftover. 2 + 5 is 7, so 8 + 7 is 15.

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3 years ago

2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c A= B= C= Please I'm gonna fail math

aleksley [76]

9514 1404 393

Answer:

a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

___

You seem to have ...

$\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)$

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

$2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}$

Multiplication increases the number of times the base is a factor.

$(2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5$

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

$\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1$

5 0

2 years ago

A regular hexagon has an area of 750.8 cm. The side length is 17 cm. Find the apothem.

kompoz [17]

Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.

We have to find the apothem of the regular hexagon.

The formula for determining the apothem of regular hexagon is $s \div {{2 \tan (\frac{180}{n})}$ , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.

So, apothem = $17 \div {2 tan(\frac{180}{6})$

= $17 \div {2 tan(30)$

= $17 \div {1.15}$

= 14.78 units

Therefore, the measure of apothem of the regular hexagon is 14.7 units.

Option B is the correct answer.

5 0

2 years ago