All categories

3 years ago

Find the unknown value in the pair of equivalent fractions. 1/8 = ?/4?

Mathematics

1 answer:

mars1129 [50]3 years ago

4 0

Answer:

The unknown value is 1/2

Step-by-step explanation:

Let

x ----> the unknown value

we have

$\frac{1}{8}=\frac{x}{4}$

Solve for x

Multiply in cross

$(1)(4)=(x)(8)\\4=8x$

Divide by 8 both sides

$x=\frac{1}{2}$

therefore

The unknown value is 1/2

You might be interested in

What is 6.34 when the 34 is repeating as a fraction

lana [24]

ANSWER:

6_34/99

STEP:

So yes. When a decimal is repeating, you can take the repeating number (most likely a decimal) and put 99 under it. Since 99 cannot be solved, you put 99. So, 34/99. Though we are not finished. There is still the whole 6 number left. So, you do 6_34/99.

Proof:

10x=6.6...

-x=-0.6...

9x=6

x=6/9=1/3.

3 0

3 years ago

If triangle STU is congruent to triangle VWX, which statement is not true?

Svetach [21]

If triangles are congruent then, their corresponding sides and angles should have the same measurement. From the given, STU is congruent to VWX, angle S, T, U should be congruent to angles V, W, and X, respectively. From the choices, the answer should be letter D. because U and V do not appear in the same order from both names.

4 0

3 years ago

Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}

miskamm [114]

Answer:

$-3+i\sqrt{3} , 1+\sqrt{3}$

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

$\alpha = x+iy\\\beta = x-iy$

since they are conjugates

$\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}$

$\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}$

Imaginary part of the above =0

i.e. $\sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1$

So the value of alpha = $-3+i\sqrt{3} , 1+\sqrt{3}$

3 0

3 years ago

An automobile dealership gives a discount of 8% if payment os made in cash. How much would a $17,500 car cost if the payment wer

Zarrin [17]

Answer:

16100

Step-by-step explanation:

17500×0.92=16100

8 0

3 years ago

PLS ANSWER QUICK

stich3 [128]

Answer:

A Between 1.43 in. and 1.47 in.

Step-by-step explanation:

If the circumference is between 9 and 9.25 inches, and we know that circumference equals 2 * pi * radius, we can solve to find that the radius equals the circumference divided by 2pi. So we get between 1.43 in and 1.47in

3 0

2 years ago