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ad-work [718]
3 years ago
12

Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.

Mathematics
1 answer:
arsen [322]3 years ago
6 0
3(4+n)=18+n
distribute
12+3n=18+n
minus n both sides
12+2n=18
minus 12 both sides
2n=6
divide by 2
n=3

the number is 3
equation is
3(4+n)=18+n
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The picture frame has a perimeter of 100 inches. The width is 22 inches. Calculate the missing length. Use that answer to find t
ivanzaharov [21]

Answer:

39 inches.

858 inches²

Step-by-step explanation:

Length:- (if length = x)

2 ( 11 + x ) = 100

22 + 2x = 100

2x = 100 - 22

2x = 78

x = 78 ÷ 2

x = 39 inches

Area:-

Area = l × b

= 39 × 22

= 858 inches²

8 0
2 years ago
The distances between three cities on a map are 45 miles, 56 miles, and 72 miles. Do the positions of
ollegr [7]

Answer:

The position of the three cities do not form a right-triangle.

Step-by-step explanation:

There are three cities on a map (say A, B, and C).

Now, the distances between them are 45 miles, 56 miles, and 72 miles.

i.e. AB= 45 miles, BC= 56 miles and CA =72 miles.

If the three cities A, B, C form a right-angled triangle on the map, then applying Pythagoras Theorem AB² +BC² =AC²

or, AC= √(AB² +BC²) must be satisfied.

Now, right-hand side of the above equation =√(45²+56²) =71.84 ≠ 72 (AC)

Hence, Right-hand side ≠ Left-hand side.

Therefore, the positions of the three cities do not form a right triangle. (Answer)  

6 0
3 years ago
If all seats were sold for this flight, what would be the total airline income for the seats?
Gekata [30.6K]

Answer:

$90,200

Step-by-step explanation:

Airlines usually try to sell their all seats before they fly the airplane. They do wish to sell maximum available seats in order to maximize their revenue. If the airplane takes off with less occupancy then there is opportunity cost for the airline companies. There are 200 seats available to the current flight and they wishes to sell it completely. If they sell all the 200 seats at the price of $451 per seat then their total revenue will be $90,200.

7 0
3 years ago
What is the x-intercept for the equation -2x + 5y = -10
Zielflug [23.3K]

Answer:

The x-intercept is at the point (5,0).

Step-by-step explanation:

-2x + 5y = -10

At the x intercept y = 0 so we substitute y = 0 into the given equation:

-2x + 5(0) = -10

-2x = -10

x = 5.



5 0
3 years ago
Read 2 more answers
Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
natulia [17]

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
1 year ago
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