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Nesterboy [21]
2 years ago
12

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

Mathematics
2 answers:
serg [7]2 years ago
4 0

we have

2.5-1.2x < 6.5-3.2x

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

3.2x-1.2x < 6.5-2.5

Combine like terms

2x < 4

x < 2

The solution is the interval-------> (-∞,2)

All real number less than 2

The answer in the attached figure

tensa zangetsu [6.8K]2 years ago
3 0
<span>2.5 – 1.2x < 6.5 – 3.2x

-1.2x + 3.2x < 6.5 - 2.5

3.2x - 1.2x < 4

2x < 4

x < 4/2

x < 2</span>
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If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.
klasskru [66]

Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

6 0
2 years ago
Read 2 more answers
Simplify the expression square root of 6 times the square root of 33 plus 7
tekilochka [14]

Answer:

3√(22) + 7

Step-by-step explanation:

The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.  

<u>Number 1</u>

√(6) x √(33) + 7

= √(6 x 33) + 7

= √(198) + 7

= √(9 x 22) + 7

= 3√(22) + 7

<u>Number 2</u>

√(6) x √(33 + 7)

= √(6) x √(40)

= √(6) x (4√(10))

= 4√(60)

= 8√(15)

5 0
3 years ago
I've been trying to get an answer for this all day and don't know where to begin what is the answer like I have no clue ​
Shtirlitz [24]

so, we have two 54x18 rectangles, so their perimeter is simply all those units added together, 54+54+54+54+18+18+18+18 = 288.

we know the circle's diameter is 1.5 times the width, well, the width is 18, so the diameter of the circle must be 1.5*18 = 27.

\bf \stackrel{\textit{circumference of a circle}}{C=d\pi }~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=27 \end{cases}\implies C=27\pi \implies C=\stackrel{\pi =3.14}{84.78} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of the rectangles}}{288}~~~~+~~~~\stackrel{\textit{perimeter of the circle}}{84.78}~~~~=~~~~372.78

6 0
2 years ago
2. A sum of $400 was shared between Samantha and Jade. Samantha received S100 more than Jade. a) If Jade received $150, how much
Marina CMI [18]

Answer:

Samantha share =$250

ratio = 5:3

Step-by-step explanation:

Samantha

= jade + 100

jade

150

samantha

150 + 100 = 250

ratio

250:150

5:3

5 0
2 years ago
Evaluate the piecewise function at the indicated values from the domain:
lidiya [134]

In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at x = 0

We have to look at the definition, and see which definition includes x = 0. The equal sign at x = 0 is on the second definition, that is:

f(x) = 1, 0 \leq x < 2

Thus, at x = 0, the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003

7 0
2 years ago
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