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scoundrel [369]
3 years ago
6

solve the following system of equations. Enter the y-coordinate of the solution. Round your answerto the nearest tenth 5x+2y=7 -

2x+6y=9
Mathematics
2 answers:
Nutka1998 [239]3 years ago
5 0
System of equations?

simultaneous equations
step 1: write the equations as follows:

5x + 2y = 7   (1)
-2x + 6y = 9  (2)

eliminate x or y. I am going to choose x, and I will eliminate it as follows: 

(x2)  ...5x + 2y = 7 (1)
(x5)  ..-2x + 6y = 9 (2)

now I will complete the multipication:

          10x +   4y  = 14 (3)
         -10x + 30y  = 45 (4)

Now add each of the terms as follows: 10x + (-10x)= 0 [i.e. they cancel], 4y and 30 y = 34y. and finally, 14 + 45 = 59 , so, you get:

34y = 59
divide both sides by 34 to get:
y = 1.735294118

but remember, in the question, you were asked to round your answer to the nearest tenth, that is the number straight after the decimal point, because 1/10 (or a tenth) = 0.1. So, since the next digit after this is 3 (i.e. lower than 5), the final answer is: 1.7      

                      


Airida [17]3 years ago
3 0
(12/17, 59/34) is the answer
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Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down
Keith_Richards [23]

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}

10C2*15C1=675

2. Choose 3 Comedies from the 10. This is calculated as:

10C3=\frac{10!}{3!(10-3)!}=120

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

8 0
3 years ago
Solve the inequality.<br> 4│x + 5│ - 2 ≤ 10
castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

6 0
2 years ago
Read 2 more answers
g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len
vredina [299]

Answer:

-\frac{10}{3}ft/s

Step-by-step explanation:

We are given that

Height of man=5 foot

\frac{dy}{dt}=-10ft/s

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

\frac{20}{5}=\frac{x+y}{x}

4=\frac{x+y}{x}

4x=x+y

4x-x=y

3x=y

3\frac{dx}{dt}=\frac{dy}{dt}

\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=-\frac{10}{3}ft/s

7 0
2 years ago
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15
artcher [175]
The closest i can think of that makes since is 1560=30(52)+b, mainly because
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3 0
2 years ago
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X/15=5<br> whats the value of x?
SpyIntel [72]

Answer:

x=75

Step-by-step explanation:

3 0
2 years ago
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