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3 years ago

What the answer to 1/3 + (2/3 + 5/8)?

Mathematics

2 answers:

NemiM [27]3 years ago

8 0

exact form : 13/8

decimal: 1.625

mixed number: 1 5/8

Ber [7]3 years ago

3 0

Answer:

1 5/8 . or 39/24

Step-by-step explanation:

Start with the numbers in the brackets

2/3 + 5/8

Use the LCM, which is 24

Multiply the numerators by the numbers which are used to multiply the denominators to 24

16/24 + 15/24 = 31/24

Now return to the 1/3 outside the bracket

1/3 + 31/24

Multiply the numerator and denominator by 8

8/24 + 31/24 = 39/24

Either keep it as 39/24 or the mixed fraction 1 15/24 to 1 5/8

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3 years ago

Solve <br> 28 - K _> 7(K - 4)

Evgen [1.6K]

Answer:

Solving the inequality $28-K\geq 7(K-4)$ , we get $\mathbf{K\leq 7}$

Step-by-step explanation:

We need to solve the inequality $28-K\geq 7(K-4)$

Using the BODMAS rule, first we will solve the bracket:

$28-K\geq 7(K-4)\\28-K\geq 7K-28$

Now, we will subtract 28 from both sides

$28-K-28\geq 7K-28-28\\-K\geq 7K-56$

Subtracting -7k on both sides

$-K-7K\geq 7K-56-7K\\-8k\geq -56$

Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.

$\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7$

So, solving the inequality $28-K\geq 7(K-4)$ we get $\mathbf{K\leq 7}$

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3 years ago

Find the equation of a line that contains the points (-3,-1) and (-4,-7). Write the equation in slope-intercept form.

weqwewe [10]

First you find the slope using y2-y1/x2-x1
which would be -6 and then to find the y-intercept plug in either (-3,-1) or (-4,-7) in x and y and plug in the slope -6
-1=-6(-3)+b
-1=18+b
-18. -18
-19=b
y=-6x -9

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4 years ago