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2 years ago

Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

7 0

5(3+n)=3(2n-1)
15+5n=6n-3
18=n

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Mike put sports books on 1/3 of his bookshelf. He put history books on 1/4 of the bookshelf . What fraction of the bookshelf did

Shkiper50 [21]

Answer:

66.67% or 2/3

Step-by-step explanation:

He put 1/3 of his sports books on the shelf. Ignore the 1/4 and focus on how much space the sports books are not taking up which would be 1-1/3=2/3 or 66.67%.

5 0

3 years ago

Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$

OlgaM077 [116]

hmmm let's find the distance between B and C first off.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5$

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0

1 year ago

A triangle has side lengths of ( 5.9 k + 9.3 m ) (5.9k+9.3m) centimeters, ( 3.6 k − 3.9 n ) (3.6k−3.9n) centimeters, and ( 3.5 n

Lilit [14]

Answer:

(9.5k + 12.7m -0.4n) cm

Step-by-step explanation:

(5.9k+9.3m) + (3.6k−3.9n) + (3.5n+3.4m) = 9.5k + 12.7m -0.4n

8 0

2 years ago

He drinks 3 1/2 liters of tea every 2/3 of an hour . Ben drinks tea at a constant rate. How many liters of tea does he drink in

scoundrel [369]

1 2/3 ...................

3 0

2 years ago

A plane at an altitude of 7000 feet is flying in the direction of an island. If the angle of elevation is 21 degrees from the pl

sleet_krkn [62]

Answer:

6,535.06 feet

Step-by-step explanation:

The set up is right angles

hypotenuse = 7000feet

angle of elevation = 21 degrees

Required

horizontal distance (adjacent)

Using SOH, CAH TOA trig identity

cos theta = adj/hyp

cos 21 = adj/7000

adj = 7000 cos 21

adj = 7000(0.9336)

adj = 6,535.06

Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet

5 0

2 years ago