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3 years ago

Simplify 6 - 4[x + 1 - (y+ 3)] +

Mathematics

1 answer:

Ad libitum [116K]3 years ago

3 0

Answer:

$14 - 4x + 9y$

Step-by-step explanation:

6-4[x+1-(y+3)]+6y

6-4[x+1-y-3]+6y

6-4[x-2-y]+6y

6-4x+8+4y+6y

14-4x+10y

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A triangle has a height that is 2 inches more than three times the base and an area of 60 in. Find the base and the height of th

const2013 [10]

Answer:

Height = 20, Base = 6

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2}$

where b is the base and h is the height

$H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\$

We can factor by grouping

$3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}$

Length can only be positive, so we know that the base is 6 in

The height must be 2 + 3(6) = 20

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3 years ago

The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.

valkas [14]

Answer:

Step-by-step explanation:

168

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1 year ago

What is the common denominator between 3/8 and 1/2

Nimfa-mama [501]

1/2 = 4/8

3/8 = 3/8

8 is the common denominator between these two fractions

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3 years ago

A rectangle has an area of 18cm^2. The lengths of the sides are whole numbers. How long can each of the sides be? Give all the e

babymother [125]

Answer:

Area of rectangle = l x b

18 = l x b

Factors of 18 =

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

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3 years ago

A fisherman can row upstream at 5mph and downstream at 10mph he started rowing upstream until he got tired and then rowed downst

AlekseyPX

We have been given that the upstream speed is $5 mph$ and the down stream speed is $10mph$ .

Let the fisherman traveled a distance of x miles.

The total time of the trip is 6 hours.

Relations between speed (s), time (t) and distance (d) is $s = \frac{d}{t}$

Hence, $t= \frac{d}{s}$

Time upstream + time downstream = 6

$\frac{x}{5} +\frac{x}{10} =6$

lcm = 10

$\frac{2x+x}{10} =6$

=> $\frac{3x}{10} =6$

Cross multiplying, $3x= 60$

x = 20 miles .. Answer.

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3 years ago