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Reika [66]
3 years ago
8

Simplify this problem, it on the picture

Mathematics
2 answers:
Schach [20]3 years ago
7 0

the answer is

1 over 4

or

0.25

cupoosta [38]3 years ago
3 0

For this case we must simplify the following expression:

\frac {\frac {7} {8} + (- \frac {2} {3})} {\frac {5} {6}} =

We know that: + * - = -

So:

\frac {\frac {7} {8} - \frac {2} {3}} {\frac {5} {6}} =

We solve the subtraction of the numerator:

\frac {\frac {3 * 7-8 * 2} {8 * 3}} {\frac {5} {6}} =\\\frac {\frac {21-16} {24}} {\frac {5} {6}} =\\\frac {\frac {5} {24}} {\frac {5} {6}} =

Applying double c:

\frac {5 * 6} {24 * 5} =\\\frac {30} {120} =\\\frac {1} {4}

Answer:

\frac {1} {4}


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Read 2 more answers
2. Solve the equation using the quadratic<br> formula.<br> -4x2 + 40x + 16 = 0<br> Page 1 of 2
kumpel [21]

The solution to given quadratic equation is x = -0.3851 or x = 10.3851

<em><u>Solution:</u></em>

Given equation is:

-4x^2 + 40x + 16 = 0

To find: solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text{ For} -4x^2 + 40x + 16 = 0 \text{ we have } a = -4 ; b = 40 ; c = 16

<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>

\begin{aligned}&x=\frac{-40 \pm \sqrt{40^{2}-4(-4)(16)}}{2 \times-4}\\\\&x=\frac{-40 \pm \sqrt{1600+256}}{-8}\\\\&x=\frac{-40 \pm 43.081}{-8}\\\\&x=\frac{-40+43.081}{-8} \text { or } x=\frac{-40-43.081}{-8}\\\\&x=-0.3851 \text { or } x=10.3851\end{aligned}

Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851

8 0
3 years ago
Find the least common denominator for these fractions. Enter your answer in<br> the space provided.
julsineya [31]

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.

1*3/4*3 = 3/12

Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

1*2/6*2= 2/12

However, we have two new fractions with same denominator now, that is 3/12 and 2/12

We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)

5/12

8 0
2 years ago
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