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I am Lyosha [343]
3 years ago
12

Solve each equation for the indicated variable 22. 12(m+3x)=18(x-3m);m

Mathematics
2 answers:
inysia [295]3 years ago
7 0

Solve each equation for the indicated variable 22. 12(m+3x)=18(x-3m);m

12(m+3x)=18(x-3m)

By the distributive property,

12m+36x=18x-54m

Since we want to solve for m let's bring it to one side and move everything else to the opposite side.

12m+54m=18x-36x

Now we simplfy.

66m=-18x

Divide both sides by 66,

m=-\frac{18x}{66}

In simpliset form,

m=-\frac{3x}{11}

:)

mr Goodwill [35]3 years ago
6 0

Answer:

m

Step-by-step explanation:

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PLEASE HELP!!!!! THANK YOU!!!!!
scZoUnD [109]

Answer:

The slope is 2

Step-by-step explanation:

Formula: y2-y1/x2-x1= 11-5/7-4 = 6/3=2

7 0
3 years ago
USE DISTANECE= RATE * TIME
torisob [31]
A]
D=R×t
d=5.8r
d2=5.1(r+7)
0.7r=35.7
r=51 mi/hr
thus the average speed on the outbound trip would be:
51+7=58 mi/hr

b]
let speed of fishing boat=x km/h
speed of cruise ship=(x+12.5) km/h
distance traveled by fishing boat=11.5×x=11.5x km
distance traveled by cruise ship=(x+12.5)×11=(11x+137.5) km
Total distance covered by the ships:
11.5x+11x+137.5=322
22.5x=322-137.5
22.5x=184.5
thus
x=184.5/22.5
x=8.2 km/h
The speed of fishing boat is 8.2 km/hr





4 0
3 years ago
Read 2 more answers
Two men walk at rates of 6 miles per hour and 10 miles per hour, respectively. Simultaneously, they started from the same place
alina1380 [7]

The time taken by the two men will be equal to 26 hours

<h3>What is speed?</h3>

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

here two men are walking at different speeds like

v₁=6 miles per hour

v₂=10 miles per hour

The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.

t₁= {100}/{6}=16.66 hours

t₂= {100}/{10}=10 hours

total time taken will be

t₁+t₂=16.66+10=26.66 hours

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

5 0
2 years ago
What is the correct solution to (x+2)(x+5)​
elena-s [515]

Answer:

x^2+7x+10

Step-by-step explanation:

multiply the first by first and first by second

multiply the second by first and second by second

7 0
3 years ago
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

7 0
2 years ago
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