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True [87]
3 years ago
11

Help me pleeeeeeeeeaze

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}

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3 years ago
The number 85 is decreased to 83. What is the percentage by which the
Readme [11.4K]

Answer:

~ 2.3%

Step-by-step explanation:

A percentage is a amount divided by the total.

2/85 (2 is the amount decreased) 0.02352941176470588235294117647059‬

That makes around 0.023.

That multiplied by 100 is 2.3 and that makes the percentage.

So yeah.

5 0
3 years ago
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Julli [10]

Answer:

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5 0
2 years ago
Read 2 more answers
Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.
shusha [124]

Answer:  (2.78+4.81)(2.78+5.61)

Step-by-step explanation:

<h3> The complete exercise is attached.</h3><h3></h3>

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width.

Then, you can notice that it can be obtained by multiplying the dimensions of the rectangle.

Knowing this, you can determine that the total area of the two flowers bed can be obtained by adding the products of their dimensions.

Since one of the rectangular flower bed is 2.78 feet by 4.81 feet and the other bed  2.78 feet by 5.61 feet, you can write the following expression to find the total area (in square feet)of the two beds:

2.78*4.81 +2.78*5.61

If you factor out 2.78:

2.78(4.81 +5.61) or (4.81 +5.61)2.78

Therefore, the expression that does not represent the total area in square feet of the two beds, is:

(2.78+4.81)(2.78+5.61)

6 0
3 years ago
Read 2 more answers
Which of the following is not equal to sin⁡(-230°)?
xenn [34]

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

3 0
3 years ago
Read 2 more answers
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