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larisa [96]
2 years ago
11

If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t

he resulting new rational number in its simplest form is 1/2 . Find the original rational number.​
Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
6 0

Answer:

3/5

Step-by-step explanation:

1/2=2/4

2+1=3

1+4=5

3/5

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Samuel consumed 2161 calories of food on​ Monday, 2378 calories on​ Tuesday, and 1841 calories on Wednesday. In order for​ Samue
german
Number of calories consumed on Monday = 2161
Number of Calories consumed on Tuesday = 2378
Number of Calories consumed on Wednesday = 1841
Daily average intake is 2200
Let calories intake on Thursday be X

Now ,

Average = sum of total calories/ number of calories

=> 2200 = 2161+2378+1841+X/4

=> 2200 x 4 = 6377 + X

=> 8800 = 6377 + X

=> X = 8800-6377

=> X = 2423

So Samuel must consume 2423 calories on Thursday
3 0
2 years ago
HELP PLS!!! I GIVE BRAINLIEST
emmainna [20.7K]

Based on the multiplication property of equality, the statement that completes the proof is: C. CD = b(sin A) and CD = a(sin B).

<h3>What is the Multiplication Property of Equality?</h3>

The multiplication property of equality is given as, if a/b = y, then a = yb. Both sides of the equation is multiplied by the same value.

In step 5 where the multiplication property of equality is applied, we would have:

sin(A) = CD/b

Multiply both sides by b

sin(A) × b = CD/b × b

b(sin A) = CD

CD = b(sin A)

This same property is applied to sin B = CD/a to get CD = a(sin B).

Therefore, the missing statement is: C. CD = b(sin A) and CD = a(sin B).

Learn more about the multiplication property of equality on:

brainly.com/question/1978763

#SPJ1

8 0
1 year ago
For addition, drag tiles onto the board. to form a group, place one tile on top of another. what is the sum of -2 and -7?
musickatia [10]

The sum of -2 and -7 is given as follows :

-2 + (-7)

In mathematical operations, + * - is - therefore

Now soo we have,

-2 – 7

This gives us: -9

Learn more about addition at : brainly.com/question/20691960

#SPJ4

Disclaimer : The complete question is given below.

Question :

For addition, drag tiles onto the board.

To form a group, place one tile on top of another.

What is the sum of -2 and -7?

Board sum: 0

Reset

5 0
2 years ago
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
If the occurrence of one event has no effect on the occurrence of a second event, then the events are ________.
Firdavs [7]

Answer:

Independent event

Step-by-step explanation:

We have different type of event occurrence: an event could be dependent, independent or mutually exclusive.

Two event are mutually exclusive if disjoint if they cannot both occur at the same time. An example of mutually exclusive event is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

Two events are independent if the occurrence of one does not affect the probability of occurrence of the other. Independent Events are not affected by previous events.

Two events are dependent if the occurrence of one does affect the occurrence of the second one.

7 0
3 years ago
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