Solve the equation.
1) 2(1.5n + 4) -6n= -7

2) 5s - 2 + 3 (s - 11) = 5

Answers

Answer 1
Answer: I hope this helps you

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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T. -8m + 7n - 3 -8m - 7n - 3 8m + 7n - 3 8m - 7n - 3

Three roads intersect to form a large triangular area as shown below.-5 miles
300
What is the length, to the nearest tenth of a mile, of side x of the triangle?
O A. 2.5 miles
O B. 2.9 miles
O C. 4.0 miles
O D. 4.3 miles

Answers

Answer:

b i think

Step-by-step explanation:

I think your correct answer is B

The nature park has a pride of 7 lions and 4 cubs. The adults eat 5 pounds of meat each day and the cubs eat 3 pounds. Simplify 7 × 5 + 4 × 3 to find the amount of meat consumed each day by the lions.

Answers

simplify 7 x 5 +4 x 3
                35 + 12
                   47

What is the middle term of the product of (x - 4)(x - 3)? -x x -7x

Answers

Answer:

The middle term of the equation is  (x - 4)(x - 3) is -7x .

Step-by-step explanation:

As given the expression in the question be as follow .

= (x - 4)(x - 3)

First open the bracket and simplify the above terms .

=  x × x - x × 3 - 4 × x -4 × -3

= x² -3x -4x + 12

= x² -7x + 12

Therefore the middle term of the equation is  (x - 4)(x - 3) is -7x .

x^2 - 4x - 3x + 12

= x^2 -7x +12

middle term=     -7x

This is relay hard i need help 19 point available

Answers

order of operations
PEMDAS
parenthaseees
exponents
multiplication or division whichever comes first
addition or subtraction whichever comes first

parenthases first
inner to outer
left to right
treat a/b as (a)/(b) so simplify the fraction top and bottom as much as possible
the parenthaseese we have to simplify are
(20-5^2), (16+2^2), (3*2^2)

(20-5^2)
exponents first
5^2=25
now we have
(20-25)
subtract
20-25=-5
other parenthasees

16+2^2
exponent,
2^2=4
16+4=20

next
3*2^2
exponent
2^2=4
3*4=12

so the equaiton we have now is
((-5)(20))/(-2^(3)+(12))

exponents
-2^3 =-1 times 2^3
exponent first
2^3=8
-1 times 8=-8

now we hav
((-5)(20))/(-8+(12))
treat the numberator and denomenator as if they are in parenthasees so try to simplify them next
(-5)(20)=-100
-8+12=4

now we have
(-100)/(4)
division
-100/4=-25

Which of the following is equivalent tothe expression below?
(5x +6y- 3z) (3x- 8y+ z)
A. 8x- 14y- 4z
B. 8x- 2y -2z
C. 8x- 14y- 2z
D.8x -2y -3z

Answers

I believe the answer is B.
5+3=8
therefore being 8x
6-8=-2
therefore being -2y
-3+1=-2
there for being -2z
8x-2y-2z

hope this helps

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Answers

The correct answers are:
1) sin(x) = ( √(3) )/(2)
2) tan(x) = √(3)

Explanation:
Given:
cos(x) =  (1)/(2)

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( (1)/(2) )^2 = 1 \n sin^2(x) + (1)/(4) = 1 \n sin^2(x)  =  (3)/(4)

Step 3:
Take square-root on both sides:
√(sin^2(x)) =  \sqrt{(3)/(4)}

sin(x) = ( √(3) )/(2)

Now to find the tan(x), we would use the following formula:

tan(x) = (sin(x))/(cos(x)) --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = ( ( √(3) )/(2) )/( (1)/(2) )

Hence tan(x) = √(3)

Answer:

The value of \sin x=(√(3))/(2)

The value of \tan x=√(3)

Step-by-step explanation:

Given = \cos x=(1)/(2)

To find :\sin x=? and \tan x=?

Solution:

We know that, if the cosine function of an angle is(1)/(2) then the angle is equal to the 60°.

\cos x=(1)/(2)

x = 60°

The value of the :

\sin x=\sin 60^o=(√(3))/(2)

We know that ratio of sine function to the cosine function is equal tto the tangent

\tan x=(\sin x)/(\cos x)=((√(3))/(2))/((1)/(2))=√(3)

The value of \sin x=(√(3))/(2)

The value of \tan x=√(3)