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4 years ago

2/5 x 4/7 as a fraction

Mathematics

2 answers:

svp [43]4 years ago

8 0

8/35 is the answer. L.C.M is needed..Hope this helps

GalinKa [24]4 years ago

7 0

2/5 * 4/7 = 8/35

All you do is 2*4=8
And 5*7=35

So your answer is 8/35

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Given that set A has 48 elements and set B has 21 elements, determine each of the following. (a) The maximum possible number of

yKpoI14uk [10]

Answer: The required answers are

(a) 69, (b) 21, (c) 21 and (d) 0.

Step-by-step explanation: We are given that the set A has 48 elements and the set B has 21 elements.

(a) To determine the maximum possible number of elements in A ∪ B.

If the sets A and B are disjoint, that is they do not have any common element. Then, A ∩ B = { } ⇒ n(A ∩ B) = 0.

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-0=69.$

So, the maximum possible number of elements in A ∪ B is 69.

(b) To determine the minimum possible number of elements in A ∪ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-21=48.$

So, the minimum possible number of elements in A ∪ B is 21.

(c) To determine the maximum possible number of elements in A ∩ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

So, the maximum possible number of elements in A ∩ B is 21.

(d) To determine the minimum possible number of elements in A ∩ B.

If the sets A and B are disjoint, that is there is no common element in the sets A and B . Then, n(A ∩ B) = 0.

So, the maximum possible number of elements in A ∩ B is 0.

Thus, the required answers are

(a) 69, (b) 21, (c) 21 and (d) 0.

6 0

3 years ago

Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Anit [1.1K]

The slopes of two parallel lines must be identical.

We have slope $m=3$ , so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, $y-y_1=m(x-x_1)$ , where our point $(-4,-3)$ is substituted for $(x_1,y_1)$ .

$y+3=3(x+4)$

Now, we convert to slope-intercept form as such.

$y=3x+12-3\\y=3x+9$

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.

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3 years ago

Find the perimeter of a triangle with sides 12 inches, 9 inches, and 15 inches.

Artist 52 [7]

If its perimeter, it should be quite easy to find. Just add 12+9+15. Which equals 36. So the perimeter is 36 inches. -Hope it helps!

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3 years ago

Read 2 more answers

Which number serves as a counterexample to the statement below. 2X < 3X

vivado [14]

Answer:

-2

Step-by-step explanation:

Here, we want to select a value that makes the expression wrong

The correct answer will be a negative number

Thus, we have it that;

2(-2) > 3(-2)

-4 > -6

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3 years ago

The "core" inflation rate is typically defined as the change in consumer prices for all goods included in the CPI basket except

Ganezh [65]

Answer:

Higher

Step-by-step explanation:

1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.

Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.

So, the Core inflation is based on CPI and PCE, <em>Personal Consumption Expenditure</em> therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.

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3 years ago