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3 years ago

The ratio of the weights of A and B is equal to the ratio of the weights

Mathematics

1 answer:

Alona [7]3 years ago

3 0

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

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Simplify the expression using properties of exponents. -16a-3b-5 2a-4b2

lions [1.4K]

$a^n\cdot a^m=a^{n+m}\\\\-16a^{-3}b^{-5}\cdot2a^{-4}b^2=(-16\cdot2)(a^{-3}a^{-4})(b^{-5}b^2})\\\\=-32a^{-3+(-4)}b^{-5+2}=\boxed{-32a^{-7}b^{-3}}$

8 0

3 years ago

Pierre cut the length of an 8 cm wide plank into nine pieces and arranged them as shown in the picture. The centrepiece is a squ

kow [346]

Answer: 200cm

Step-by-step explanation:

The center Planck is a square of length 8cm.

The 4 next planks are of 16 cm each

And the next 4 Planks are of 32 cm each.

8 + 4(8×2) + 4(8×4)

8 + 4(16) + 4(32)

8 + 64 + 128

200 cm

Length of the original plank is 200cm

8 0

3 years ago

How do you measure angles like these?<br> pls help I have a test and I don't understand

earnstyle [38]

Answer:

120°

Step-by-step explanation:

To find angle BCD, we need to spot that the angle is on a straight line (ACD); angles on a straight line add up to 180°. This means we can find the missing angle by doing 180 - 60 which is 120°.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Which equation represents the graphed function?

makvit [3.9K]

The equation y = –2 x + 3 represents the graphed function.

Answer: Option A

<u>Step-by-step explanation:</u>

As per the mapping points in the attached figure, A (0, 3) and B (1, 1)

Step 1: Find the slope of the line.

We know that the formula to calculate the slope between two points is equal to

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(1,1)$ . So, the slope ‘m’ would be

$m=\frac{1-3}{1-0}=-2$

Step 2: Find the y-intercept

We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)

Step 3: Find the equation of the line into slope-intercept form

We know that the equation of the line into slope-intercept form is equal to

y = m x + b

We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get

y = - 2 x + 3

8 0

3 years ago

Read 2 more answers

Suppose that it snows in Greenland an average of once every 27 days, and when it does, glaciers have a 26% chance of growing. Wh

Colt1911 [192]

Answer:

0.1998

Step-by-step explanation:

This is a conditional probability question.

We solve this question using Bayes's Theorem of conditional probability.

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

Based on the information in the question, we have the following values.

Suppose it snows in Greenland once every 27 days.

Probability (it snows) = P(A) = 1/27

= 0.037037037

Approximately = 0.0370

Probability ( it doesn't snow) = P(A') = 1 - 0.0370 = 0.963

Probability ( that when it snow, glaciers grow) = P(B|A) = 26% = 0.26

Probability( that is doesn't snow , glaciers grow) = P(B|A)' = 4% = 0.04

Using the Bayes's Theorem of conditional probability

Probability that it is snowing in Greenland when glaciers are growing is =

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

= [0.26 × 0.0370] ÷ [(0.26 × 0.0370) + (0.04 × 0.963)]

= 0.00962 ÷( 0.00962 + 0.03852)

=0.00962 ÷ 0.04814

= 0.199833818

Approximately to 4 decimal places ≈ 0.1998

Therefore, probability that it is snowing in Greenland when glaciers are growing is 0.1998

3 0

4 years ago