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Bumek [7]
2 years ago
9

The total cost of 20 boards is $166. one size costs $6.50, and the second size costs $9.50. how many boards are purchased at eac

h price?
Mathematics
1 answer:
o-na [289]2 years ago
8 0

The number of the board's price of $6.50 will be 12 and the number of the boards for the price of $9.50 will be 8.

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

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

The total cost of 20 boards is $166. one size costs $6.50, and the second size costs $9.50.

Let the number of the boards for the price of $6.50 is x and for $9.50 is y. So the expression will be given as:-

6.50x + 9.5 y = 166

x + y = 20

Put x = 20 - y

6.50( 20 - y) + 9.5y = 166

130 - 6.50y + 9.50y = 166

3y = 166 -30

3y = 36

y = 12

Now the value of x will be:-

x = 20 - y = 20 - 12 = 8

Therefore the number of the board's price of $6.50 will be 12 and the number of the boards for the price of $9.50 will be 8.

To know more about Expression follow

brainly.com/question/723406

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An horse gallops 200ft turns and trots 350ft turns again and travels 410ft
bija089 [108]

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

<h3>What is the Heron's formula?</h3>

The Heron's formula is given as;

√s(s-a)(s-b)(s-c)

where s is half the perimeter of the triangle

WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.

Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft

Semi perimeter =  960 ft/ 2 = 480 ft

Area =  √s(s-a)(s-b)(s-c)

Area =  √480 (480 -200)(480 -350)(480 -410)

Area =  √480 (280)(130)(70)

Area =  √480 (2548000)

Area = 34971.98

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

Learn more about the Heron's formula;

brainly.com/question/20934807

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The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

6 0
1 year ago
Select all expressions that are equivalent to 8(t+4)
monitta
8t+32 is one expression equivalent to that.
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What is the slope of the line through the point (-4,6) and (-3,-1)?
zimovet [89]

Answer:

B.) -7/1

Step-by-step explanation:

Finding the slope we use: y2 - y1/x2 - x1

m = -1 - 6/-3 - (-4)

m = -7/-3 + 4

m = -7/1

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What is the domain of h?
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Answer:

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Step-by-step explanation:

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If angle 1 and angle 2 are vertical. If the measure angle 1= 6x+11 and the measure angle 2= 10x-9, find the measure angle 1
Paraphin [41]

Hey there!!

We know:- <em>Vertically opposite angles are equal. </em>

Hence,

Angle 1 = Angle 2

... 6x + 11 = 10x - 9

... 20 + 6x = 10x

... 20 = 4x

... x = 20 / 4

... x = 5

Angle 1 = 6x + 11

... 6 ( 5 ) + 11

... 30 + 11

... 41

<em>Hence, the measure of angle 1 is 41 degrees. </em>

Hope my answer helps!

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