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Dovator [93]
3 years ago
8

One-Half of a number increased by 6 is less than 34

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

  1. Subtract 6 on both sides. ½ x < 28.
  2. Divide ½ on both sides. x < 56.
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Vertical angles are congruent <br><br> a. never<br> b. sometimes <br> c. always
yarga [219]

Answer:

C

Step-by-step explanation:

because vertical angles angles that are opposite each other and formed by two intersecting lines are congruent

hope this helps :D

5 0
3 years ago
Simplify the expression
erastova [34]

Answer : A

We need to simplify the given expression

Lets factor numerator first

2x^2-5x-3 =(2x+1)(x-3)

x^2+8x+15 =(x+5)(x+3)

Now we factor the denominator

x^2+x-20 =(x+5)(x-4)

2x^2+9x+4 =(2x+1)(x-4)

Now we simplify it

\frac{(2x+1)(x-3)}{(x+5)(x-4)} * \frac{(x+5)(x+3)}{(2x+1)(x-4)}

Now cancel out same factors. so we left with

\frac{(x+3)(x-3)}{(x+4)(x-4)} }

Now multiply the factors

\frac{x^2-9}{x^2-16} }



6 0
3 years ago
At a conference for 500 people, 30% of the participants are French, 15% are Americans, 5% are Germans, and are of other national
Olenka [21]
As said before, 160 is the correct answer
Please: Rate. Thank!
7 0
3 years ago
Read 2 more answers
Someone please help out
exis [7]

Answer:

39+0.15m \leqslant 50

Step-by-step explanation:

From the question, Diana wants her total bill to be less than $50.

Diana pays a fixed monthly bill of

$39 for her mobile phone and an additional

$0.15 per minute for phone internet service.

The bill Diana pays for m minutes of using the internet is $0.15m in a month.

The total monthly bill becomes,

39+0.15m

The maximum bill she wants to pay is $50.

\implies39+0.15m \leqslant 50

This inequality can be solved to determine the number of available minutes.

4 0
3 years ago
a rectangular plot is 30 meters longer than it is wide its area is 15000 square meters. which equation will help you find the di
Damm [24]
Let the breadth of the plot = X
Then,the length of the plot = 30+X
The area of the plot= (l)(b)
=X(30+X)=15000(given)
=30X+X^=15000
=x^+30x-15000=0
Then,solve to the value of x...

Thanks!
5 0
3 years ago
Read 2 more answers
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