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3 years ago

Evaluate -6-(-6) +7+(-4) + (-1).

Mathematics

1 answer:

frutty [35]3 years ago

3 0

solution :--

= -6 + 6 + 7 - 4 - 1

= 6 + 7 - 6 - 4 - 1

= 13 - 11

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Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

2 years ago

NEED ANSWER IN LESS THAN 10 MINS!!

Naddik [55]

Heyehejrjrjjdnsnnsne

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3 years ago

Greastest common factor of 24 and 18

Vilka [71]

Answer: 6

Step-by-step explanation:

the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three

4 0

3 years ago

Read 2 more answers

Marjorie is playing a new board game the rule state that when a player's piece lands on a red square the player must pay a penal

alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

---------------------

When the piece lands on the red square, the penalty is equal to 30 times the sum they roll on two numbers.
Marjorie rolls 4 and 2, thus, the sum is 6.
The penalty is of $6 \times 30 = 180$
She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.

A similar problem is given at brainly.com/question/12166019

6 0

2 years ago

Enter a range of value for x.

zubka84 [21]

Answer:

-2 < x < 35

Step-by-step explanation:

We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.

The opposite angle of the 14 unit side is 37 °.

The opposite angle of the 13-unit side is (x + 2) °.

Since 13 <14, it would be:

x + 2 <37

we subtract 2 on both sides

x <35

The value of x must be less than 35.

Now, to form a triangle, the angle must be greater than 0.

x + 2> 0

we subtract 2 on both sides

x> -2

The value of x must be greater than - 2.

Therefore the answer would be:

-2 <x <35

8 0

3 years ago

Evaluate -6-(-6) +7+(-4) + (-1).​

Evaluate -6-(-6) +7+(-4) + (-1).