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Tanzania [10]
4 years ago
8

Find the product. Simplify if possible. −4/7×−3/4

Mathematics
2 answers:
kipiarov [429]4 years ago
8 0
<span>Okay so this is a multiplication problem, so we need to multiply the numerators and denominators of the fractions to get the product.

</span>\frac{-4}{7} × \frac{-3}{4} = \frac{12}{28}

The fraction 12/28 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of <span>12: 1, 2, 3, 4, 6, 12</span>

Factors of <span>28: 1, 2, 4, 7, 14, 28</span>

4 is the largest factor of both 12 and 28, so we need to divide both the numerator and denominator by 4.

Numerator: 12 ÷ 4 = 3

Denominator: 28 ÷ 4 = 7

Write the new fraction:

\frac{3}{7}


Hope this helped :)

<span>


</span>
Lemur [1.5K]4 years ago
3 0
I hope this helps you

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Need help with 19&amp;21
olga_2 [115]

Hello!

To solve questions 19 and 21, firstly, we need to convert the percentages to decimals. There are two ways to convert them.

  1. The first way is to divide the percentage by 100 because <u>all</u> percentages are out of 100.
  2. The second way is to move the decimal place two times to the left, in which case, it is the same thing as dividing by 100.

After finding the converted percentage, you multiply the cost by that decimal. That will be your final answer according to the problem, but that is not true in some cases (like number 19).  

19). Sales Tax

We are given a Digital Assistant priced at 399 dollars. We are finding the total price including the sales tax, so we need to add the total price and the sales tax together.

7.75 / 100 = 0.0775

399 × 0.0775 = 30.9225 | This can be rounded to about 30.92 dollars.

399 + 30.92 = 429.92 dollars

The total price including the sales tax is 429.92 dollars.

21). Women in the Navy

Given that there is a 335-person crew, and of which, 13% are female, we need to find how much females are on the navy guided-missile destroyer.

13 / 100 = 0.13

335 × 0.13 = 43.55

Since we are working with humans, we need to round it to a whole number.

Therefore, there are about 44 crew members that are women.

<u>Final answers</u>:

  1. 429.92 dollars
  2. 44 women
8 0
3 years ago
Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
Read 2 more answers
What is the multiplicative rate of change of the exponential function shown on the graph
Mazyrski [523]

Answer:75

Step-by-step explanation:

i believe so

4 0
4 years ago
Read 2 more answers
PLEASE HELP ASAP!! Thank you!
ankoles [38]
The answer is:
14-55x-36x
8 0
3 years ago
Find the real numbers x and y that make the equation true.<br><br> -3 + yi = x + 6i
irga5000 [103]
X = -3 - 6i + yi
y = -3i - xi + 6
8 0
3 years ago
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