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3 years ago

Find (12y-1) + (-10y+7)

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

2y +6

Step-by-step explanation:

(12y-1) + (-10y+7)

We need to combine like terms

12y - 10y + -1 +7

2y +6

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Workers have painted 920 square feet of an office. they have completed 80% of there job. how many square feet do they need to pa

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3 years ago

The value of x must be greater than .

iogann1982 [59]

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of the triangle is greater than the length of the third side

$AB+AC > BC\\AB+BC > AC\\AC+BC > AB$

we have

$AB=12\ units\\AC=15\ units\\ BC=x\ units$

substitute the values

$12+15 > x$ -----> $x < 27\ units$

$12+x > 15$ -----> $x > 3\ units$

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$3\ units < x < 27\ units$

therefore

the answer is

The value of x must be greater than $3$

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3 years ago

Read 2 more answers

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 6 / km h faster than the other. If t

Alex17521 [72]

We can find the rate of each cyclist (assuming the rate is the amount they can travel in an hour) by dividing by 4 and then adding 6.

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3 years ago

Jessie works at least 36 hours a week. She works as a math

Olegator [25]

Answer:

The feasible region is unbounded which is the shaded portion in the graph.

Step-by-step explanation:

Given that, the number of hours Jessie works as a teacher and tutor is y and x respectively, which can't be negative.

So, $x\ge0\;\cdots(i)$

y\ge0\;\cdots(ii)

She works at least 36 hours a week.

$\Rightarrow x+y\ge 36$

$\Rightarrow y\ge 36-x\;\cdots (iii)$

She works as a teacher for al least twice the number of hours she works as a tutor.

$\Rightarrow y\ge2x\;\cdots(iv)$

The boundary of the inequalities from equations (i), (ii), (iii), and (iv) are

$x=0, y=0, y=36-x$ and $y=2x$ .

The feasible region is the shaded portion which is the unbounded region as shown in the graph. Any point P(x,y) from the feasible region will satisfies all the constraints.

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3 years ago