A number n plus 7 is less than or equal to 9

Answers

Answer 1

Answer:

Final answer:

The subject of this question is Mathematics. The inequality n + 7 ≤ 9 can be solved by subtracting 7 from both sides. The solution is n ≤ 2.

Explanation:

The subject of this question is Mathematics. The question involves solving an inequality involving a number, n, that is added to 7 and is less than or equal to 9. To find the possible values of n, we can subtract 7 from both sides of the inequality:

n + 7 ≤ 9

n ≤ 9 - 7

n ≤ 2

So, the values of n that satisfy the inequality are any number less than or equal to 2.

Learn more about Solving Inequalities here:

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What is the solution set of the equation 3x2 = 48 ?

Answers

Answer:

Step-by-step explanation:

6=48

Dad is 7 times as old as his son. 10 years later, he will be three times as old as his son.find their ages?

Answers

so dad is represented by x
son is represented by y

so x is (x=) 7 times his son (7y)

our first sentence is x=7y

10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)

so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5

the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15

dad=35
son=5

these are the answers
son = 5
dad= 35

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.

Answers

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

$a^2=b^2+c^2-2bc\cos A$

Using cosine formula in ΔOPQ, we get

$o^2=p^2+q^2-2pq\cos O$

On substituting the values, we get

$o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)$

$o^2=32400+14400-43200(-0.9877)$

$o^2=46800+42668.64$

$o^2=89468.64$

Taking square root on both sides.

$o=√(89468.64)$

$o=299.113$

$o\approx 299$

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

Solve by graphing
y= -4x+5
y=3x-2

Answers

y = -4x + 5
y = 3x - 2

-4x + 5 = 3x - 2
+ 4x    + 4x
   5 = 7x - 2
      + 2 + 2
   7 = 7x
   7    7
   1 = x
   y = -4x + 5
   y = -4(1) + 5
   y = -4 + 5
   y = 1
   (x, y) = (1, 1)

Graph the line bu locating any two ordered pairs that satisfy the equation

Y=-3x

Answers

I did it in my calculator and I found it online.

1. Find the midpoint of the segment with the endpoints: (5,9) and (-7-7)

Answers

Answer:

(-1,8)

Step-by-step explanation:

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