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kap26 [50]
4 years ago
7

What is the value of s in the equation 3r = 10 + 5s, when r = 10

Mathematics
1 answer:
Bad White [126]4 years ago
8 0
3r = 10 + 5s , <span>r = 10
plug in the value of "r" into the equation:
3(10) = 10 +5s
30 = 10 + 5s
subtract 10 from both sides:
20 = 5s
divide both sides by 5:
4 = s
s = 4</span>
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5 0
3 years ago
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that
Afina-wow [57]

Answer: Simple interest= Principal× rate× time/ 100

                                  Amount= Simple interest + Principal

Step-by-step explanation:

4 0
3 years ago
Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
A submarine cruises underwater at 20 km/h and on
Darina [25.2K]

Answer:

System of equations:

20x + 30y = 650

x + y = 25

Time underwater = 10 hours

Time at the surface = 15 hours

Step-by-step explanation:

Let x = time underwater at 20 km/h.

Let y = time on the surface at 30 km/h.

speed = distance/time

distance = speed * time

distance underwater: 20x

distance on the surface: 30y

total distance: 650

20x + 30y = 650

total time: x + y

total time: 25

x + y = 25

20x + 30y = 650

x + y = 25

20x + 30y = 650

-20x - 20y = -500

--------------------------------

          10y = 150

              y = 15

x + y = 25

x + 15 = 25

x = 10

4 0
3 years ago
Please help me ?! ❤️❤️
Zanzabum

Answer:

Hey there!

On the horizontal axis, the x-axis, find the point where it says 8.

Then move up to where the y-coordinate is 5.

That is the point (5, 8)

(This basically means- 8 units right and 5 units up)

Let me know if this helps :)

8 0
3 years ago
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