All categories

2 years ago

Y = 3x – 10 y = 6x – 22

Mathematics

1 answer:

Nady [450]2 years ago

5 0

Answer:

x = 4

y = 2

Step-by-step explanation:

y = 3x – 10 (Multiply by -1)

y = 6x – 22

-y = -3x + 10

0 = 3x - 12

3x = 12

x = 4

y = 3x – 10

y = 3(4) - 10

y = 12 - 10

y = 2

You might be interested in

A dealer bought 3 gross buttons at $.38 a dozen. He sold the buttons at 5 cents each. How much was his profit per gross?(12 doze

777dan777 [17]

Answer:

$2.64

Step-by-step explanation:

Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for

12 * $0.05 = $0.60

As he bought them at $0.38 per dozen, the profit per dozen would be

$0.60 - $0.38 = $0.22

As 12 dozen is 1 gross, the profit per gross would be

12 * $0.22 = $2.64

7 0

2 years ago

Read 2 more answers

What is the slope of a line perpendicular to the line whose equation is<br> 2x – 2y = 20.

Simora [160]

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

7 0

2 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

2 years ago

Nine actors audition for four different parts in a play in how many ways can the director fill these roles ?

podryga [215]

Answer:126

Step-by-step explanation: your welcome

5 0

2 years ago

Can someone help me with this question please?

blagie [28]

Answer:

a) 96 = 3.57√h

b) h ≈ 723.11 m

Step-by-step explanation:

The equation you want to solve is the model with the given values filled in.

D(h) = 3.57√h . . . . model

96 = 3.57√h . . . . . equation for seeing 96 km to the horizon

We solve this equation by dividing by the coefficient of the root, then squaring both sides.

96/3.57 = √h

h ≈ 26.891² ≈ 723.11 . . . . meters above sea level

Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.

8 0

1 year ago