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Vlad1618 [11]
2 years ago
9

Solve the system using elimanation: 5x + 4y = 12. 3x -3y = 18

Mathematics
2 answers:
Scorpion4ik [409]2 years ago
4 0
If you would like to solve the system of equations 5x + 4y = 12 and 3x - 3y = 18 using elimination, you can do this using the following steps:

<span>5x + 4y = 12    /*3
3x - 3y = 18    /*4
_____________
15x + 12y = 36
12x - 12y = 72
_____________
15x + 12y + 12x - 12y = 36 + 72
15x + 12x = 36 + 72
27x = 108
x = 108/27
x = 4

</span><span>3x - 3y = 18
</span>3 * 4 - 3y = 18
12 - 3y = 18
12 - 18 = 3y
3y = -6
y = -6/3
y = -2

(x, y) = (4, -2)

The correct result would be: x = 4 and y = -2.
Kaylis [27]2 years ago
3 0
From the second equation,
                                  3x = 18 + 3y    ; x = 6 + y
Substitute this expression for x to the x of the first equations. Thus,
                                 5(6 + y) + 4y = 12
The value of y from this equation is -2. 
Going back to the expression for x, x = 6 + y = 6 - 2 = 4. Thus, the solution to this system is (4, -2). 
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What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.
slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

C=2\pi r

we have

r=6\ in\\\pi=3.14

substitute

C=2(3.14)(6)\\C=37.68\ in

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find the arc length s for a central angle of 135 degrees

\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in

4 0
2 years ago
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Lauren is shopping and finds 6 bracelets, 2 pairs of earrings, and 3 necklaces that she likes. How many ways can Lauren select 4
Grace [21]
Because it does not specify that she has to choose one or two from each category all pieces of jewelry can be treated as choices in a combination set.

the formula for a combination is

C(n,r)= \frac{n!}{r!(n-r)!}

where n is a total number of choices ( 11 ) 
and r is number chosen out of those choices (4)
 so

C(11,4)= \frac{11!}{4!(11-4)!} 

She has 330 possible choices  to come home with 4 pieces of jewelry



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2 years ago
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In the diagram of △EHG below, JF ∥HG, EJ=12, JH=24, and EF=6. What is the length of EG?
Natasha_Volkova [10]
It’s 18, i guess
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4 0
1 year ago
Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute
kaheart [24]

Answer:

1.5 mph

Step-by-step explanation:

Let speed of boat be x

let speed of current be c

Also, note D = RT

D is distance

R is rate

T is time

Now, for first leg, we can write:

(x+c)3 = D

And for second leg , we can write:

(x-c)4.8 = D  [note 4 hour 48 minutes is 4.8 hours]

We can equate both D's to get:

(x+c)3 = (x-c)4.8

3x + 3c = 4.8x - 4.8c

7.8c = 1.8x

We know x = 6.5 [given], plugging it in and solving for c:

7.8c = 1.8(6.5)

c = 1.5

Speed of Current = 1.5 miles per hour

3 0
2 years ago
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Assume ABC DEF. If mA = 70 , mB = 47 , and mC = 63 , what is the measure of F? A. 63 B. 70 C. 47 D. Cannot be determined
kipiarov [429]
I'm assuming that the full statement is ΔABC is congruent to ΔDEF.

Given:
m∠A = 70
m∠B = 47
m∠C = 63

Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.

m∠D = 70
m∠E = 47
m∠F = 63

The measure of angle F is 63.

5 0
2 years ago
Read 2 more answers
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