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ale4655 [162]
3 years ago
15

Solve system using linear combination. 5x + 3y = 41 and 3x - 6y = 9 show all work.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

(7,2)

Step-by-step explanation:

5x + 3y = 41

3x - 6y = 9

Multiply the first equation by 2

2(5x + 3y) = 41 *2

10x +6y = 82

Add this to the second equation

10x +6y = 82

3x - 6y = 9

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

13x = 91

Divide by 13

13x/13 = 91/13

x=7

Now we can find y

5x+3y = 41

5(7) +3y =51

35+3y=41

Subtract 35 from each side

35-35+3y=41-35

3y = 6

Divide by 3

3y/3 = 6/3

y=2

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A 16-ounce carton of milk costs 63 cents, while a half-gallon jug of milk sells for $2.24. How much more expensive, in cents per
hram777 [196]
1 quart of the 16oz jug is $1.26 (.63x2) 1 quart of the half gallon is $1.12 (2.24/2) so 1.26-1.12= 0.14 the 16oz jugs are 14 cents more expensive than the half gallon
5 0
3 years ago
A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/
otez555 [7]

Answer:

The instantaneous velocity after eight seconds is 9 m/s

Step-by-step explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) = 10 + 5t + \frac{1}{4}t^{2}

Now, The instantaneous velocity after 8 sec = \frac{\partial h(t)}{\partial t}

Or, The instantaneous velocity = \frac{\partial (10 +5t + \frac{1}{4}t^{2})}{\partial t}

or, The instantaneous velocity = 5 + \frac{1}{4}\times 2 t

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s  Answer

3 0
3 years ago
What percent of 45 is 135? Explain your reasoning.
MrRissso [65]
The question is equal to: 135 / 45

Divide:

135 / 45 = 3

3 = 300%

Answer = 300% (I think)

~Hope this helped~


6 0
3 years ago
Read 2 more answers
13+39-2-10-6 power2 orders of operation
Advocard [28]
6 to the power of 2 is 6 multiplied by six which is 36
then 13 + 39 is 52 - 2 = 50- 10 = 40 - 36=  the answer 4
8 0
3 years ago
Can someone please help me.
Art [367]

I will give you everything I can do:

11)

Lets say Car A travels at x mph. That means Car B travels at x+2 mph.

Both of them are traveling towards each others, so we can say the total speed is 2x+2.

Now i takes 3 hrs and we know the distance.

Since R*T=D

Then 3(2x+2)=270

So 2x+2=90

2x=88

x=44

12)

To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.

Now we must find the equation of the line with the given variable.

First find b.

5=3/2*4+b

b = -1

So the equation of this line is:

y=3/2x-1

13) All work will be shown below.

6-3(-2-4x)=2(3(x-4)+7)

6+6+12x=2(3x-12+7)

12+12x=2(3x-5)

12+12x=6x-10

6x=-2

x = -1/3

14)

First we must find the amount each train traveled.

The speed of F train(Freight train)=x

The speed of P train(passenger train)=x+6

Their combined speed is 2x+6

It takes 2 hrs to cover 100 miles

So 2(2x+6)=100

2x+6=50

2x=44

x=22

So the freight train covered 44 miles and the passenger train covered 56 miles.

To find average speed you must do Total Distance/Total Time.

44/2 and 56/2

Which are 22 and 28.

The average speed of F train is 22 mph and average speed of P train is 28 mph.

15) Again opposite reciprocal.

3/5 -> -5/3

Work:

-4=-3*-5/3+b

-4=5+b

b=-9

y = -5/3x-9

16)

F=kx-kx0

First kx0 = 0

So F=kx

So x=F/k

4 0
3 years ago
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