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Margarita [4]
3 years ago
5

Please I need help on this ! If anyone can that would be great!! <3

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:


Step-by-step explanation:

(A)The given equations are:

x-y=3 and x+y=3

Taking the ordered pair (3,0),

3-0=3 and 3+0=3 which is satisfied. Thus, option A (3,0) is correct.

(B) The two equations are:

x-y=3 and x+y=3

Adding both the equations, we get

2x=6

x=3

Therefore, substituting the value of x in any of the two given equations,

3-y=3

y=6

Hence, x=3 and y=6

(C) Let "b" represents Becky's score and "C" be Cathy's score.

Then, According to the question, we get

b=c-5 and b+c=185

Thus, Option B is correct.

(D) The given equations are:

x+y=6 and x=y+5

Now, substituting the value of x=y+5 in the equationx+y=6, we get

(y+5)+y=6

Thus, option C  is correct.

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3 if the probability of randomly drawing a number ending in 3 is 37/156, what I the probability of not drawing a number ending i
Olenka [21]

Answer:

119/156

Step-by-step explanation:

If the probability of a number ending in 3 is 37 out of 156 that means that the probability of a number not ending in 3 is 156-37 which is 119.

So 119/156

7 0
3 years ago
Hello I need help on this question!
Sloan [31]

Answer:

5

Step-by-step explanation:

Refer to attachment for marking of sides.

In the given figure , ∆ABC , ∆ABD and ∆ADC are right angled triangles . Therefore here we can use the Pythagoras theorem , as ,

\longrightarrow base² + perpendicular² = hypotenuse ² .

<u>•</u><u> </u><u>In </u><u>∆</u><u>A</u><u>B</u><u>D</u><u> </u><u>,</u><u> </u><u>we </u><u>have</u><u> </u><u>;</u>

\longrightarrow AB² + BD² = AD²

\longrightarrow AB² + x² = 10²

\longrightarrow AB² = 10² - x²

\longrightarrow AB² = 100 - x²

\rule{200}2

<u>•</u><u> </u><u>Again</u><u> </u><u>in </u><u>∆</u><u>A</u><u>D</u><u>C</u><u> </u><u>,</u><u> </u><u>we </u><u>have</u><u> </u><u>;</u>

\longrightarrow AC² + AD² = CD²

\longrightarrow AC² = 20² - 10²

\longrightarrow AC² = 400 - 100

\longrightarrow AC² = 300

\rule{200}2

<u>Again</u><u> </u><u>in </u><u>∆</u><u>A</u><u>B</u><u>C</u><u> </u><u>,</u><u> </u><u>we </u><u>have</u><u> </u><u>,</u>

\longrightarrow AC² = AB² + BC²

Substituting the values from above ,

\longrightarrow 300 = 100-x² + (20-x)²

\longrightarrow 300 = 100 - x² + 400 + x² - 40x

\longrightarrow 40x = 500 - 300

\longrightarrow 40x = 200

\longrightarrow x = 200/40

\longrightarrow x = 5

<h3>Hence the required answer is 5 .</h3>

8 0
3 years ago
Plz answer these questions<br> Answer should be with explanation
yan [13]

Answer:

2/3

Step-by-step explanation:

In the game of chance, the possibility of winning it is 1/3. This is one of two outcomes, winning or losing. Since there is a 1/3 chance of winning it, there leaves only one outcome, losing it. Since 1/3 is a third of a whole, that leaves 2/3 for the other possibility, losing it. We then find that winning it has the chance of 1/3 and losing it has a 2/3 chance.

4 0
4 years ago
Read 2 more answers
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
Divide Whole Numbers and Unit Fractions Which is the quotient of 1/4 ÷ 4 ? Use a number line to help. A number line shows zero,
sleet_krkn [62]
1 witch is C as the answer
3 0
3 years ago
Read 2 more answers
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