All categories

3 years ago

Which of the following is equal to 5⁄7? A. 45⁄63 B. 54⁄63 C. 35⁄63 D. 42⁄63

2 answers:

7 0

$\bf \cfrac{45}{63}\implies \cfrac{9\cdot 5}{9\cdot 7}\implies \cfrac{9}{9}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \cfrac{5}{7}$

Kazeer [188]3 years ago

7 0

Answer: OPTION A.

Step-by-step explanation:

You have the folllowing fraction given in the problem:

$\frac{5}{7}$

To find an equal fraction, you must multiply the numerator and the denominator by the same number.

OPTION A. The product is obtained by multiplyin 5 by 9 and the produc 63 is obtained by multiplyin 7 by 9. Then, you obtain:

$\frac{5*9}{7*9}$ = $\frac{45}{63}$

The fraction of OPTION B is not obtained by multiplying the numerator and the denominator of originl fraction by the same number.

The fraction of OPTION C is not obtained by multiplying the numerator and the denominator of originl fraction by the same number.

The fraction of OPTION D is not not obtained by multiplying the numerator and the denominator of originl fraction by the same number.

You might be interested in

what IS THE FUTURE VALUE OF THE 10% savings from earnings of 36,000 if it earns 6.25% annual interest compounded quarterly for 1

bezimeni [28]

P(1+rt)
Your answer is 69,750.00

4 0

3 years ago

Xavier is a new student, explain to him what a variable is. Use complete sentences.

Anit [1.1K]

Answer:a symbol, usually a letter, used to represent a number.

Step-by-step explanation:

a math process (like adding, subtracting, multiplying, or dividing)

3 0

3 years ago

enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2

Marat540 [252]

The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(4x² + 8x)=-1

Factor the leading coefficient

4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>

6 0

3 years ago

Read 2 more answers

Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 yea

Vanyuwa [196]

Answer:

£1,330.46

Hope this helps, mate!

Step-by-step explanation:

Hope this helps, mate! :)

6 0

2 years ago

Please explain your answer

MariettaO [177]

Answer:

e = -1/2

Step-by-step explanation:

4/3 = -6e - 5/3

transfer -6e to the right

4/3 = -5/3 -6e

Find the LCM of 3,3and 1

and their LCM is 3. So, divide all through by 3

3(4/3) = 3(-5/3) - 6e × 3

4 = -5 -18e

combine

4 + 5 = -18e

9 = -18e

divide by -18

9/ -18 = -18e/ -18

-1/2 = e

e = -1/2

5 0

3 years ago