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2 years ago

13x+5y=90 what is x? what is y?

Mathematics

1 answer:

Leona [35]2 years ago

3 0

Answer:

X=-5y/13+90/13, Y=-13x/5+18

Step-by-step explanation:

You need to solve the equation for X and Y.

Solving for X:

13x+5y=90

Subtract 5y: 13x=-5y+90

Divide by 13: x=-5y/13+90/13

For Y:

13x+5y=90

Subtract 13x: 5y=-13x+90

Divide by 5: y=-13x/5+90/5

(Simplifies to -13x/5+18)

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

2 years ago

. Find their present ages. 6 years ago a man's age was six times the age of his son. 4 years hence, thrice his age will be equal

ddd [48]

<u>The present age of the man is 36 years and his son is 11 years.</u>

Answer:

Solution given:

let the age of man be x.

and his son be y.

By question

x-6=6(y-6)

x=6y-36+6

x=6y-30. ......(1)

and

3(x+4)=8(y+4)

3x+12=8y+32

3x=8y+32-12

3x=8y+20. ...(2)

substituting value of x in equation 2 ,we get

3(6y-30)=8y+20

18y-90=8y+20

18y-8y=90+20

10y=110

y=110/10

y=11 years

again substituting value of y in equation 1 we get

x=6*11-30

x=66-30

x=36 years

5 0

1 year ago

Write a number of grams between 10 and 20, and then write an equivalent amount in milligrams.

oksano4ka [1.4K]

Answer:

15 grams and 15000 milligrams

Step-by-step explanation:

3 0

2 years ago

I WILL AWARD BRAINLIEST!!!! PLEASE HELP!!!!!

Dahasolnce [82]

as AB || DE then

angle BAE = angle AED

so angle AED = 70

as AD = AE then

angle AED = angle ADE = 70

now in a triangle

angle DAE + Angle ADE + angle AED = 180

angle DAE + 70 + 70 = 180

angle DAE = 180 - 140 = 40

4 0

3 years ago

How to factor 25x^2 - 81= 0

dalvyx [7]

Your question is a difference of squares. both terms that need to be factored are squared. to solve take the square root of each put into two terms one of addition and one of subtraction.

anwser= (5x-9)(5x+9)

the reason this works is because when you foil you get
25x²-45x+45x-81
the middle terms cancel revealing
25x²-81

4 0

3 years ago