7(x-2) = 3(x+4)? Please help soon!

Answers

Answer 1

Answer: First use distribution properties and times everything in the brackets by the number before it
So
7x-14= 3x+ 12
Then subtract the x value from one side and move it to the other
Example
7x-14=3x+12
-3x. -3x
Therefore you’d have
4x-14=12
then move your negative 14
4x-14=12
+14 +14
4x=26
Divide both sides by 4
X=6.5

Answer 2

Answer:

Answer:

x=6.5

Step-by-step explanation:

7(x-2)=3(x+4)

Step 1. Distribute

7x-14=3x+12

Step 2. Combine like terms and calculate

4x=12+14

Step 3. Divide 4 on both sides

4x=26

Solution:

x=6.5

Hope this helps! :)

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You are standing 44 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
meters
One of your friends is on the 86th floor. What is the distance between you and your friend?
meters

Answers

The height of the building is 313 m while the friend is 192 m above me.

What is the angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point of interest. It is typically measured in degrees, minutes, and seconds.

The angle of elevation is commonly used in trigonometry, surveying, and navigation to determine the height or distance of an object.

Let the distance from the ground frond to the 86th floor be x

We would now have that;

Tan 82 = 121 + x/44

44Tan 82 = 121 + x

313 = 121 + x

x = 313 - 121

x = 192 meters

Total height of the building = 192 m + 121 m = 313 m

Learn more about angle of elevation:brainly.com/question/8817610

Josh spent $30 at the movies. 1/5 was spent on a drink, 45% on a ticket and the rest on food. How much did he spend on food?

Answers

Answer:

$10.5

Step-by-step explanation:

Given data

Total amount=$30

Drink = 1/5*30= $6

Ticket= 45% of 30

=45/100*30

=0.45*30

=$13.5

The remainder is for food

=30-6-13.5

=$10.5

Subtract.
–84 – 55
a. –29
b. –139
c. 29
d. 139

Answers

-84 - 55= -139Here both have same sign (-) so u add and put the common sign(-) ....So the answer is option B ( -139)...Hope it helps!!!

A junior college is going to choose a Homecoming Queen, and the candidates are the Freshman Queen and the Sophomore Queen. If there are 600 freshman and 400 sophomore voters, which would be a FAIR way of conducting the vote? [Fair, in this case, means that the Freshman Queen does not have an automatic advantage.]A) Count the votes, then deduct 100 from the freshman total.
B) Count the votes and the Queen with the highest total becomes Homecoming Queen.
C) Count the votes, counting each sophomore ballot as 1.5 votes and each freshman ballot as 1 vote.
D) Count the votes, counting each freshman ballot as 1.5 votes and each sophomore ballot as 1 vote.

Answers

count the votes, counting each sophomore ballot as 1.5 votes and each freshmen ballot as 1 vote.
ur doing this because there is 200 more freshmen then sophomores...and if u count each sophomore vote as 1.5, it would make up for the 200 more freshmen

Answer: C

Step-by-step explanation: i just did it

Anyone a math Genius?
simplify each radical expression.
-21_/27x^9

Answers

ok so according to comments, question is
$-21\sqrt{27x^(9)}$
remember that
$√(xy)$ = $√(x)$ times $√(y)$
and $\sqrt{yx^(2)}$ = $x√(y)$
so
$-21\sqrt{27x^(9)}$ = $-21√(27)\sqrt{x^(9)}$ = $-21√(9)√(3)\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}√(x)$ = $-21(3)√(3)(x)(x)(x)(x)√(x)$ =
$-63x^(4)√(3)√(x)$ = $-63x^(4)√(3x)$

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?a. -3
b. -2
c. -1/3
d. 1/3

2. A line has a slope -5/3. Through which two points could this line pass?

a. (12,13) (17, 10)
b. (16, 15) (13, 10)
c. (0, 7) (3, 10)
d. (11, 13) (8, 18)

3. The pair of points (6,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?

a. -5
b. -2
c. 2
d. 5

4. What is the slope of a vertical line?

a. -1
b. 0
c. 1
d. Undefined

5. The table below gives the best cost per person to rent a fishing charter boat. Find the rate of change given that it is a constant. Also explain what the rate of change means for this situation.

People l Cost ($)
2 l 110
3 l 165
4 l 220
5 l 275

a. 1/55
b. 110/1
c. 1/275
d. 55/1

Answers

1. (-2,5)(1,4)
slope = (4 - 5) / (1 - (-2) = -1 / 3

2. (11,13)(8,18)

3. (6,y)(10,-1)
slope = (-1 - y) / (10 - 6) = (-1- (-2) / 4 = 1/4
y = -2

4. undefined

5. (2,110)(3,165)
slope = (165 - 110) / (3 - 2) = 55/1
this basically means that to rent a charter boat, it will cost 55 per person

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