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DENIUS [597]
3 years ago
7

Need help now due today

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

a) The variable in the inequality is <u>x.</u>

b) The inequality symbol needed <u>< ( or >)</u>

c) The constant is <u>8.</u>

d) The inequality is <u>f(x)<8x .</u>

Step-by-step explanation:

Given,

The person can make less than $8 per hour

To find the correct inequality for this situation.

Let us take,

The person works for x hours.

If the total income of the person for x hours is f(x)

Then, the inequality will be

f(x)<8x

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Answer: c the third option

Step-by-step explanation:

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On a certain day, the temperature changed at a rate of -2O per hour. How long did it take for the change in temperature to be -1
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2 years ago
the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti
Montano1993 [528]
To solve this problem you must apply the proccedure shown below:

 1. You have that the formula for calculate the area of a triangle is:

 A=bh/2

 Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

 bh/2=124
 bh=124x2
 bh=248

 2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:

 Base=b/2
 Height=3h

 3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

 A'=bh/2

 (A' is the new area)

 A'=(b/2)(3)/2
 A'=3bh/4

 4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
 A'=186 units</span>²
<span>
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3 0
3 years ago
The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number
Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

3(7x) = 4(x)+7

3(7x) = 4x+7

21x = 4x+7

Now we have to move 4x to the left side by subtracting 4x from both sides.

21x-4x = 4x-4x+7

21x-4x = 7

17x = 7

To get x, we will divide both sides by 17. We will get,

\frac{17x}{17} = \frac{7}{17}

x = \frac{7}{17}

So the smaller number = \frac{7}{17}

The larger number = 7(\frac{7}{17} ) = \frac{49}{17}

So we have got the required numbers.

Smaller number = \frac{7}{17} and larger number = \frac{49}{17}.

4 0
3 years ago
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