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3 years ago

2x+6>2and 5x< 6 + 2x

Mathematics

1 answer:

LiRa [457]3 years ago

8 0

Answer:

-2 > x < 2

Step-by-step explanation:

Given that:

2x + 6 > 2

Subtracting 6 from both sides:

2x + 6 -6 > 2-6

2x > -4

Dividing by 2 on both sides:

x > -2

For second equation:

5x< 6 + 2x

Subtracting 2x from both sides:

5x - 2x < 6 + 2x -2x

3x < 6

Dividing by 3 on both sides:

x < 2

Result: -2 > x < 2

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Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages

lbvjy [14]

9514 1404 393

Answer:

Keiko: 17
Chang: 24
Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

c + (c -7) +4(c -7) = 109

6c -35 = 109 . . . . . . . . . . simplify

6c = 144 . . . . . . . . . . . add 35

c = 24 . . . . . . . . . . . divide by 6

c-7 = 17

4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

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3 years ago

Find the sum. (5p+11) + (8p- 4) A. 5p+7 B. 13p-7 C. 13p+7 D. 13p+15 AP3X

USPshnik [31]

Answer:

$(5p + 11) + (8p - 4) \\ = ( 13p + 7)$

<h2>C. (13p+7) is the right answer.</h2>

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3 years ago

Can u guys PLEASE answer this question ASAP. A line passes through the point (2,4) and has a gradient 2. Find the y-coordinate o

Veseljchak [2.6K]

y=2

Step-by-step explanation:

Make an equation of straight line by using the formula :y= mx+c

put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:

y=2x +c

So you need to find the y-intercept to complete the equation, therefore:

when y=0,

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c=-4

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3 years ago

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3 years ago

Read 2 more answers

Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create

anastassius [24]

Pattern is the rule that guides the formation of a set.

The sequence of the first five mosaics is 5, 8, 11, 14, 17
The sequence is arithmetic
There are 32 tiles in the tenth mosaic.

From the given design, the number of tiles used is:

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

(a) The first five

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

$T_4 = T_3 + 3 = 11 +3 = 14$

$T_5 = T_4 + 3 = 14 +3 = 17$

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

(b) The type of sequence

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

(c) The number of tiles in the tenth mosaic

The nth term of an arithmetic sequence is:

$T_n = T_1 + (n - 1) \times d$

In this case:

$T_1 = 5$

$d =3$

$n = 10$

So, we have:

$T_{10} = 5 + (10 - 1) \times 3$

$T_{10} = 5 + 9 \times 3$

$T_{10} = 5 + 27$

$T_{10} = 32$

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

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3 years ago