MATHEMATICS HIGH SCHOOL

Multiply 3⁄4 × 16⁄9 .
A. 64⁄27
B. 3⁄4
C. 27⁄64
D. 4⁄3

Answers

Answer 1
Answer:

Answer:

Option D (4)/(3)

Step-by-step explanation:

we know that

The product of two fractions is equal to the product of the numerators divided by the product of the denominators

so

(3)/(4)*(16)/(9)=(3*16)/(4*9)\n \n=(48)/(36)\n \n=(24)/(18)\n \n=(4)/(3)
Answer 2
Answer: I believe that the answer to this question is D. 4⁄3

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the sum of Marys age and her moms age is 67.  Three times Marys age increased by 7 is her moms age.  How old is Mary and her mother

Answers

Sove the system:

x: Mary´s age
y: Mom´s age:

x + y = 67
3x + 7 = y

Replace y in the first equation:

x + 3x + 7 = 67
4x = 67 - 7
4x = 60
x = 15 yrs.

y = 67  - 15 = 52 yrs
Labels:
-- Mary's age = D (for 'daughter')
-- Mom's age = M (for 'mom')

The problem says 2 things:

         D + M = 67
and
       3D + 7 = M .

Let's subtract 'M' from each side of the first one:  D = 67 - M

Now we can plug that into the second one, in place of 'D'.
 
       3D          + 7 = M

       3(67 - M) + 7 = M .

Clear the parentheses on the left side.  I assume you know how to do that.

       201 - 3M + 7 = M

Add 3m to each side:

       201        + 7 = 4M

       208              = 4M

Divide each side by 4 :

       52 = Mom's age

Daughter's age = 67 - Mom's age = 67 - 52 = 15

Simplify the expression: 1/1+cot^2xa.sec^2x
b.csc^2x
c.sin^2x
d.cos^2x
e.tan^2x

Answers

\sin ^( 2 ){ x } +\cos ^( 2 ){ x } =1\n \n \frac { \sin ^( 2 ){ x } }{ \sin ^( 2 ){ x } } +\frac { \cos ^( 2 ){ x } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } } \n \n 1+\cot ^( 2 ){ x } =\csc ^( 2 ){ x }

Because of this...

\frac { 1 }{ 1+\cot ^( 2 ){ x } } \n \n =\frac { 1 }{ \csc ^( 2 ){ x } }

But...

\frac { 1 }{ \csc ^( 2 ){ x } } =\sin ^( 2 ){ x }

Therefore:

\frac { 1 }{ 1+\cot ^( 2 ){ x } } =\sin ^( 2 ){ x }

Answer:

(c)

Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike. a. Henrietta has enough before the tax, but not enough after the tax. b. Henrietta has enough money even after the tax. c. Henrietta does not have enough money even before the tax. d. There is not enough information given.

Answers

Given:
Henrietta budget: 120
Original Price of the bike : 150
discount: 20%
sales tax: 6%

150 * 20% = 30
150 - 30 = 120 discounted price

120 * 6% = 7.2 sales tax
120 + 7.2 = 127.20 total cost of the bike

Since Henrietta only has 120, A.) Henrietta has enough before the tax, but not enough after the tax.

Answer:

A. Henrietta has enough before the tax, but not enough after the tax.

Step-by-step explanation:

After 2 years, $560 simple interest was owed on a loan of $7,000. Find the annual interest rate.

Answers

Answer:

first u have to find the  how many years,intrest then mutiply it first u have to multyply 560x7,00 then divide the years then simplyfy it

Step-by-step explanation:

brainly?

Is that the correct answer

Answers

yes that is the correct answer 
10 to the power of 3 = 10 x 10 x 10 is correct

See attached file. show all work.

Answers

The point-slope form of the equation for a line can be written as

... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)

Your function gives

... f'(h) = m

... f(h) = k

a) The tangent line is then

... y = 5(x -2) +3

b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.

... y = (-1/5)(x -2) +3

_____

You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.

In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
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