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4 years ago

Solve for x . Your answer must be simplified. 4x≤12

Mathematics

1 answer:

Pepsi [2]4 years ago

3 0

4x ≤ 12

x ≤ 3 <em>divided both sides by 4</em>

Graph: ←--------------------3 <em>(fill in the dot at 3 since it is "equal to")</em>

Interval Notation: (-∞, 3]

Answer: x ≤ 3

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Over the last 3 evenings, Yolanda received a total of phone 96 calls at the call center. The third evening, she received 4 times

Ulleksa [173]

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Step-by-step explanation:

Given,

Total calls received = 96

Let,

x be the number of calls received on second day.

Calls received on first day = x+6

Calls received on third day = 4(x+6)

Sum of calls received on three days = Total

$x+(x+6)+4(x+6)=96\\x+x+6+4x+24=96\\6x+30=96\\6x=96-30\\6x=66$

Dividing both sides by 6

$\frac{6x}{6}=\frac{66}{6}\\x=11$

Calls received on first day = x+6 = 11+6 = 17 calls

Calls received on second day = x = 11 calls

Calls received on third day = 4(11+6) = 4(17) = 68 calls

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Keywords: addition, linear expression

Learn more about linear expressions at:

#LearnwithBrainly

7 0

3 years ago

Data reveled that there was a 14% increase in the number of students at PS 194 from 2000 to 2005 and later revealed that there w

crimeas [40]

The answer is clearly in the photo

8 0

3 years ago

Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.

Tomtit [17]

Answer:

The exact interest on $5,870 at 12% is $58.70.

Step-by-step explanation:

Given information:

Principal = $5870

Interest rate = 12% = 0.12

Time = June-December = 7 months.

We know that

1 year = 12 months

1/12 year = 1 month

7/12 year = 7 month

Time = 7/12 year

Formula for simple interest:

$I=P\times r\times t$

where, P is principal, r is rate of interest and t is time in years.

Substitute P=5870, r=0.12 and t=7/12 in the above formula.

$I=5870\times 0.12\times \frac{1}{12}$

$I=5870\times 0.01$

$I=58.70$

Therefore the exact interest on $5,870 at 12% is $58.70.

7 0

3 years ago

Can someone help me figure this out ..I have 7 more questions like this and I don’t get it ugh

lord [1]

It would be answer A because something in the negatives can not be greater than something in the negatives

3 0

3 years ago

X^2+6x-6=0 rewritten by completing the square

Pie

Hello from MrBillDoesMath!

Answer:

(x+3)^2 -15 = 0

Discussion:

To complete the square add (and then subtract) the square of one-half the coefficient of x:

x^2 + 6x -6 = 0 =>

-- complete the square part --

x^2 + 6x + (6/2)^2 - (6/2)^2 - 6 = 0 =>

x^2 + 6x + 9 - 9 - 6 = 0 => as 6/2 = 3

(x + 3)^ 2 - 9 - 6 = 0 =>

(x+3)^2 -15 = 0

We can solve this as follows:

(x+3)^2 = 15 take square root of both sides

(x+3) = +\- sqrt(15)

x = -3 +\- sqrt(15)

Thank you,

MrB

4 0

3 years ago