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ZanzabumX [31]
4 years ago
6

By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50

%?
Mathematics
1 answer:
olchik [2.2K]4 years ago
5 0
Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
a\cdot b\implies  ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
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The monthly salary of workers in the public works department is $1,500, $3,000, $3,500, $3,500, $4,000, $4,500, $5,000, $6,000,
adelina 88 [10]

Answer:

(B)  median because there is an outlier

Step-by-step explanation:

The given data is as follows:

{1, 4, 9, 4, 10, 8, 42}

We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.

Thus, 42 is an outlier.

Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.

Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.

Thus, option B is correct.

Read more on Brainly.com - brainly.com/question/3151349#readmore

Step-by-step explanation:

3 0
3 years ago
Solve 4x + 11 = k for x.
ehidna [41]

4x + 11 = k
4x = k - 11
x =  \frac{k - 11}{4}
3 0
3 years ago
Read 2 more answers
Help me with mathhh?!!!!??? ​
DedPeter [7]

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

3 0
3 years ago
Brand X costs $1.65 for 11 ounces. Brand Y costs 2 cents more per ounce. What is the cost of 15 ounces of brand Y?
34kurt

Answer:

$2.25

Step-by-step explanation:

You can find the answer by setting up a simple equation.

Brand X is 1.65 for 11 ounces

we can find the cost of one ounce of Brand X by using division

1.65/11

.15

this means that for every ounce of Brand X, it costs 15 cents

Since brand Y costs two cents more per ounce that would make it be 17 cents per ounce

now all you need to do is multiply and solve.

.15 * 15 = $2.25

8 0
2 years ago
Read 2 more answers
Find the area of each shape, please help and I will give a lot points
Alex73 [517]

Answer:

15. Area of parallelogram = bh

    b = 9m

    h = 4m

    a = 9*4 = 36m^2

   You can also use the rectangle property here.

    a = l*b

    l = 9

    b = 6

    a = 9*6 = 54 m^2

    Though I would prefer the first one better.

16. Area of triangle = 1/2*bh

    b = 17m

    h = 3

    a = 17*3/2 = 51/2 = 25.5m^2

18. Area of a trapezium = a+b/2*h (a and b are two parallel sides and h the            height)

a = 15

b = 7

h = 15

a = 15+7/2*15 = 22/2*15 = 11*15 = 165m^2

19. Area of triangle = 1/2*bh

    b = 24

    h = 7

    a = 24*7/2 = 168/2 = 84

Hope u understood

Please mark as brainliest

Thank You

5 0
3 years ago
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