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seraphim [82]
3 years ago
12

Benny’s age is currently 200% of his sister Jenny’s age. What percent of Benny’s age will Jenny’s age

Mathematics
1 answer:
Sav [38]3 years ago
7 0

Answer:

The lower the age of Benny and Jenny, the% between the age of both, the more it decreases

Step-by-step explanation:

To calculate the exact percentage, the age of one of the two is necessary. I demonstrate it with several examples.

Let B be Benny's age

Let J be Jenny's age

We are told that Benny's age is 200% Jenny's age, we know that 200% is 2, therefore:

B / J = 2

Now if B = 2 and J = 1

2/1 = 2

After 4 years:

B + 4 / J + 4 = (2 + 4) / (1 + 4) = 1.2, i.e. 120%

Another example, if B = 4 and J = 2

4/2 = 2

After 4 years:

B + 4 / J + 4 = (4 + 4) / (2 + 4) = 1.33, that is 133%

Another example, if B = 6 and J = 3

6/3 = 2

After 4 years:

B + 4 / J + 4 = (6 + 4) / (3 + 4) = 1.43, that is 143%

The conclusion is that the lower the age of Benny and Jenny, the% between the age of both, the more it decreases.

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If the area of triangle is 1200 sq m and its length is 60 m , find the breadth .
Kruka [31]

Answer:

20 m

Step-by-step explanation:

The area of a triangle is 120 sq m

The length is 60 m

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Area= length × breadth

120= 60 × breadth

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3 0
3 years ago
Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?
gayaneshka [121]

Answer:

  A:  The x-intercept of k(x) is half the x-intercept of h(x)

Step-by-step explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

  h(x) = 0 = -2x +4   ⇒   x = 4/2 = 2

  k(x) = 0 = 4x -4   ⇒   x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A

7 0
3 years ago
Find the value of the determinant.<br> 4 8 10<br> 4 0-1<br> 3 - 2 4
VLD [36.1K]

Answer:

- 240

Step-by-step explanation:

We have to find the value of the following determinant  

\left|\begin{array}{ccc}4&8&10\\4&0&-1\\3&-2&4\end{array}\right|

Now, we know that the value of a general determinant \left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| is given by [a( ei - fh) + b(fg - di) + c(dh - eg)]

Therefore, the value of the given determinant is

= 4[0 × 4 - (-1)(-2)] + 8[3(-1) - 4 × 4] + 10[4(-2) - 3 × 0]

= - 8 - 152 - 80 = - 240 (Answer)

4 0
3 years ago
Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

5 0
3 years ago
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