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3 years ago

How do you workout the fraction 3/4 + 1/8

Mathematics

2 answers:

Lorico [155]3 years ago

8 0

Answer:

$\frac{7}{8}$ or $\mathrm{Decimal:\ }\:0.875$

Step-by-step explanation:

$\frac{3}{4}+\frac{1}{8}$

lcm of 4 and 8 is 8

adjust the fraction base on the lcm

$=\frac{6}{8}+\frac{1}{8}$

$\mathrm{Apply\:the\:fraction\:rule}:$ $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$\mathrm{Add\:the\:numbers:}\:6+1=7$

$=\frac{7}{8}$

Svetradugi [14.3K]3 years ago

4 0

Answer:

The LCM for 4 and 8 is 8. Add both numerator and rewrite it in a single form. By using LCM method, 7/8 is the equivalent fraction by adding 3/4 and 1/8.

Hope This Helps!!! Have a great day!

<3<3

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(X^2+x-6)(2x^2+4x) factor completely

MissTica

Answer:

$2x\left(x-2\right)\left(x+3\right)\left(x+2\right)$

Step-by-step explanation:

Lets go ahead and take a step by step approach to solving your problem.

First we must start by factoring $x^2+x-6$ .

To do this, we must break the expression into groups! Although I will also provide a definition to help you understand! For $ax^2+bx+c$ we need to find u, v > $u\cdot \:v=a\cdot \:c$ and $u+v=b$ which we will group into $\left(ax^2+ux\right)+\left(vx+c\right)$ .

The values we have are... $a=1,\:b=1,\:c=-6$ and $u\cdot v=-6,\:u+v=1$ .

Now we need the factors of 6 which are 1, 2, 3 and 6. We also need the negative factors which you get simply by multiplying the positives by -1 or just reversing them.

Now we need to check for every two factors if u + v = 1.

$\mathrm{Check}\:u=1,\:v=-6: \:u\cdot v=-6,\:u+v=-5 \Rightarrow \mathrm{False}$

$\mathrm{Check}\:u=2,\:v=-3: \:u\cdot v=-6,\:u+v=-1 \Rightarrow \mathrm{False}$

$\mathrm{Check}\:u=3,\:v=-2: \:u\cdot v=-6,\:u+v=1 \Rightarrow \mathrm{True}$

$\mathrm{Check}\:u=6,\:v=-1: \:u\cdot v=-6,\:u+v=5 \Rightarrow \mathrm{False}$

Therefore $u=3,\:v=-2$ .

Now we want to $\mathrm{Group\:into\:}\left(ax^2+ux\right)+\left(vx+c\right)$ . Which is $\left(x^2-2x\right)+\left(3x-6\right)$ .

Now we must factor x from $x^2-2x$ .

Lets apply the exponent rule of $a^{b+c}=a^ba^c$ which means $x^2=xx$ .

Therefore we now have xx - 2x. Lets factor out the common term of x to get x(x - 2).

Now factor 3 out of $3x-6$ .

Rewrite 6 as 3 * 2. $3x-3\cdot \:2$ .

Now factor out the common term of 3 > $3\left(x-2\right)$ .

$x\left(x-2\right)+3\left(x-2\right)$ > Factor out the common term of x - 2 > $\left(x-2\right)\left(x+3\right)$ .

Now lets factor $2x^2+4x$ .

Apply the previous exponent rule of $a^{b+c}=a^ba^c$ > $x^2=xx$ > $2xx+4x$ .

Now rewrite 4 as 2 * 2 > $2xx+2\cdot \:2x$ .

Now factor out the common term of 2x to get 2x(x + 2).

Combine it all and we get $2x\left(x-2\right)\left(x+3\right)\left(x+2\right)$ .

Hope this helps!

7 0

3 years ago

Tanya is training a turtle for a turtle race. For every 5/6 of an hour that the turtle is crawling, he can travel 1/7 of a mile.

Kamila [148]

Answer:

6/35 miles per hour

Step-by-step explanation:

To find the unit rate, put distance over time

distance = 1/7 miles

time = 5/6 of an hour

miles/hours

(1/7)/(5/6)

(1/7)*(6/5)

6/35 miles per hour

6 0

3 years ago

The diagram shows a parallelogram.

emmasim [6.3K]

Answer:

27.44 square cm

Step-by-step explanation:

If the length of parallelogram is a and b and angle between side a and b is $\alpha$ .

Then area of parallelogram = $a*b*sin(\alpha ) = ab sin(\alpha )$

Given side length 4 cm and 7 cm

angle between them = 100°

value of sin(100°) = 0.98

Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44

Thus, area of given parallelogram is 27.44 square cm.

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Mkey [24]

Answer:

9 and 4

Step-by-step explanation:

9 * 4 = 36

9 = 3²

4 = 2²

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3 years ago

A public parking garage charges $5, plus an additional $2 per hour.

Ilya [14]

Answer:

y=2x+5

Step-by-step explanation:

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