MATHEMATICS HIGH SCHOOL

How do you solve for 14x+11x+10=85

Answers

Answer 1
Answer:

Answer:

combine like terms i think

Step-by-step explanation:
Answer 2
Answer:

Answer:

First, add the like terms (14x +11x), which equals 25x.

25x+10=85

25(3)+10=85

X=3

Step-by-step explanation:

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Which is the solution to the equation 3.5 (2 h + 4.5) = 57.75? Round to the nearest tenth if necessary.

Is the ordered pair (1, 4) a solution to the equation y = 2x + 1?If yes, is it the only solution?

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No, because the ordered pair does not fit the equation.

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Yes, but this ordered pair is not the only solution to the equation.

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Answers

Let's plug in x-coordinate x=1:

y = 2(1)+1 = 2 + 1 = 3, which is not 4.

So the answer is A.

8. In ΔRST, m∠R = (2x + 10)°, m∠S = (2x + 25)°, and m∠T = (x – 5)°.What is the value of x?
(Points : 3)
26
28
30
32

Answers

The measures of the angles in a triangle add up to 180°.
(2x+10)^\circ+(2x+25)^\circ+(x-5)^\circ=180^\circ \n2x+10+2x+25+x-5=180 \n5x+30=180 \n5x=180-30 \n5x=150 \nx=(150)/(5) \n\boxed{x=30}
The sum of the measures of the interior angles of a triangle is 180^(\circ).

So,
2x+10+2x+25+x-5=180\n5x=150\nx=30

What is the product of 2/3 and 36

Answers

Product is another word for multiplication. so to multiply 2/3 and 36 you do 36 times two and get 72/3 then you divide 72 by 3 to get 24 as your answer

It is to be noted that the product of 2/3 and 36 is 24.

How to find the product

2/3 x 36

= 72/3

= 24

Therefore, the product of 2/3 and 36 is 24.

In mathematics, a product refers to the result obtained when two or more numbers or quantities are multiplied together.

It is the outcome of multiplication. The product is obtained by multiplying the multiplicands (the numbers being multiplied) and is represented by the product symbol (×) or by writing the numbers next to each other.

Learn more about product  at:

brainly.com/question/10873737

#SPJ6

Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.

Answers

Using an indirect proof:

Assume that the figure is a trapezoid.
All trapezoids are quadrilaterals.
All quadrilaterals' interior angles add up to 360° because any n-gon's interior angles add up to 180(n-2)°.
We are given that the trapezoid has three right angles.
All right angles are 90°, thus these right angles have a total measure of 270°.
We can conclude fourth angle must be 90°.
If it has four right angles, it is a rectangle.
Rectangles have two sets of parallel sides.
However, trapezoids have exactly one set of parallel sides.
Alas, our figure cannot be a trapezoid.
not possibletrapezoid is a quadrilateral with 4 angles and 4 sideswhich means the interior measure =360if 3 angles are right the 4th angle must be a right anglea trapezoid does not have 4 right angles,it only has onepair of parallel sideshope this helps

Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN

Answers

Since point L is merely found on the line MN, ML and LN are considered to be line segments. So adding both line segments should add up to line MN's total length which is 31 units. We can use the given relations to create a mathematical equation as follows:

Given: MN = 31; ML = h - 15; LN = 2h - 8

MN = ML + LN

Substituting the given values:
31 = h - 15 + 2h - 8
31 = 3h - 23

It is necessary to solve for the value of h. To do this, we must isolate h and solve for it:

Adding 23 to both sides of the equation:
31 + 23 = 3h - 23 + 23
54 = 3h
h = 18

Substituting the value of h to the equation of LN we get the following:
LN = 2(18) - 8
LN = 36 - 8
LN = 28

Therefore the value of LN is 28. 

A machine in a soft drink bottling factory caps 3 bottles per second. How many bottles can it cap in 15 hours?

Answers

so 3 bottles per second so in 1 second it produces 3 times 1=3 bottles in 2 seconds it produces 2 times 3=6 bottles in x seconds, it produces 3x bottles so


15 hours
1 hour=60 minutes
1 minute=60 seconds
1 hour=60 (60 seconds)=60 times 60 seconds=3600 seconds
15 hours=15 times 3600=54000 seconds
so insert/subsitute
number of bottles=3x
in 15 hours=3 times 54000=162000

162,000 bottles in 15 hours
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