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kramer
3 years ago
11

Simplify this expression. -2 < -1.5p - 8

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

-2 < -1,5p - 8

-1,5p - 8 > -2

-1,5p > -2 + 8

-1,5p > 6 / : (-1,5)

<u>x</u><u> </u><u><</u><u> </u><u>4</u>

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G(x) = 4x + 2
mojhsa [17]

Answer:

4x \times 2x + 4x \times 5 + 2 \times 2x + 2 \times 5 = 8x {}^{2} + 24x + 10

6 0
3 years ago
Which triangles (if any) can be shown to be congruent using a rotation? A) 1 and 2 B) 2 and 3 C) 1 and 3 D) none
Talja [164]
The answer is 1 and 3. 
6 0
4 years ago
Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than t
IgorC [24]
<h2><u>Answer:-</u></h2>

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

<h3>→ x + x + 24 = 180</h3>

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

<h3>→ X = 78°</h3>

<u>There</u><u>fore</u><u>,</u>

  • 1st angle = 78°
  • 2nd angle = 78° + 24° = 102°

4 0
3 years ago
Need help. How do I do this
lara [203]

9514 1404 393

Answer:

  b

Step-by-step explanation:

Use the distance formula with the two points Q and P, then simplify and match the pattern of the answer.

  d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(b-0)^2+(-c-(-a))^2}\\\\\boxed{d=\sqrt{b^2+(-c+a)^2}}

The value b goes in the green box.

6 0
3 years ago
I rent a gym for $150 for 30 students another time I rent the gym for $270 for 70 students I need to find a fixed rate
kirza4 [7]

Answer:

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

30x+b=150 \ \ \ \ equation \ 1

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

70x+b=270 \ \ \ \ equation \ 2

Now we will subtract equation 1 from equation 2 we get;

70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120

Dividing both side by 40 we get;

\frac{40x}{40}=\frac{120}{40}\\\\x=\$3

Now we will substitute the value of x in equation 1 we get;

30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60

So we can say that the equation can be written as;

y =3x+60

Hence we can say that fixed rate is $60 and per student charge is $3.

3 0
3 years ago
Read 2 more answers
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