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Mathematics

1 answer:

lesya692 [45]3 years ago

8 0

The answer is 50 1/14

This is because you convert all the mixed numbers to improper fractions and get 144/7 + 81/5 + 133/7
Next you put them over the same denominator which could be 70 and you get 1440/70 + 1134/70 + 931/70
You can then add the numerators and get 3505/70
3505/70 simplified is 701/14 which is also 50 1/14

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Josh earned 15% extra points on his 40 point assignment, how many total points did he earn?

Liono4ka [1.6K]

Total points : 46
15% of 40 is 6
40 + 6 = 46
To double check:
46/40 = 1.15 = 115%

7 0

3 years ago

What function equation is represented by the graph?

Ahat [919]

In the given graph, lets mark two points:

Let $A = (0,-3)$ and $B = (4,-2)$

The slope of the line is given by:

$m = \frac{(-2)-(-3)}{(4)-(0)}$

$m = \frac{-2+3}{4}$

$m = \frac{1}{4}$

The equation of the line is given by:

$(y-y_1)=m(x-x_1)$

$(y-(-3))=(\frac{1}{4})(x-0)$

$4(y+3)=x$

$4y+12=x$

$4y=x-12$

$y= \frac{1}{4}x-3$

Therefore, the function equation represented by the graph is: $f(x)= \frac{1}{4}x-3$

5 0

3 years ago

2. An expression is shown.

laiz [17]

Adding parentheses in the component $9\div 3$ of the expression may bring an output of 48.

<h3>Procedure - Application of hierarchy rules in a arithmetic expression</h3>

In this question we should make use of hierarchy rules represented by the use of parentheses. The parentheses oblige to make operations inside it before making it in the rest of the formula.

Now we decide to add parenthesis in the component $9\div 3$ such that the result of the entire expression is 48. We proceed to present the proof:

$2 \times 8 \times (9\div 3)$