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KatRina [158]
4 years ago
5

Find the solution to the following system of equations using substitution:

Mathematics
2 answers:
galina1969 [7]4 years ago
6 0

Answer:

x = 5 and y = 1

Step-by-step explanation:

x - 3y = 2 then x = 2 + 3y

Substituting x in: 2x + 5y = 15

2*(2 + 3y) + 5y = 15

4 + 6y + 5y = 15

11y = 15 - 4

11y = 11

y = 11/11

y = 1

Then

x = 2 + 3y

x = 2 + (3*1)

x = 2 + 3

x = 5

I hope it's clear

vichka [17]4 years ago
5 0

Answer:

x = 5

y =1

Step-by-step explanation:

following image will help you understand this:

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Gerard ran out of tile for his patio.The width of the remaining area 2 2/9 feet.The length of the remaning area is 7 feet.How mu
nikklg [1K]
Length X Width =
2 x 7 = 14
2/9 x 7 = 44/9
14 + 44/9 = 18 8/9
He has 18 8/9 feet left to tile.
4 0
3 years ago
Find the surface area of the composite figure.
Sloan [31]

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

<h3>What is the surface area of a truncated prism?</h3>

The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:

A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)

A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²

A = 276 cm²

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

7 0
1 year ago
Please help with this
ololo11 [35]

Answer:

jjjjjjjjjjjjjjjjjjjjjjjjj

4 0
3 years ago
What is the answer to :-6k+7k
Vlad1618 [11]

Answer:

1k or k

Step-by-step explanation:

Lets solve the problem without k. The problem would be -6+7. The answer is 1. Then we add the k at the end.

We get 1k, which can be written as just k.

7 0
3 years ago
Read 2 more answers
A man on the deck of a ship is 14 ft above water level. He observes that the angle of elevation of the top of a cliff is 40 degr
topjm [15]

Answer:

The distance of the ship from the cliff is 38.465 feet

The height of the cliff is 46.28 feet.

Step-by-step explanation:

As shown in the figure attached d is the distance from the ship to the cliff, and h is the height of the cliff from the ship.

From trigonometry

tan(20^o)=\frac{14}{d}

d=\frac{14}{tan(20^o)}=38.465\:feet.\\\\\boxed{d=38.465ft}

This is the distance to the cliff.

And we have

tan(40^o)=\frac{h}{d}

since d=38.465ft

h=d*tan(40^o)=38.465*tan(40^o)=32.28ft

Ad the height of the cliff is just 14+h or

32.28+14=46.28 ft\\\\\boxed{height=46.28ft}

Which is the height of the cliff.

4 0
4 years ago
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