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kolbaska11 [484]
3 years ago
8

Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation elimin

ates the y terms? Negative StartFraction 5 Over 8 EndFraction x + three-fourths y = 12 8 x + 12 y = 11
Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

10x - 12y = 192

Step-by-step explanation:

Given the equation :

-5/8x + 3/4y = 12 - - - (1)

8x + 12y = 11 ___(2)

The equivalent form of the first equation which can eliminate the y term :

Multiply (1) by - 16 :

-5/8x * - 16 + 3/4y * - 16 = 12 * - 16

10x - 12y = 192

Hence, Adding the obtained equation and equation(2) will eliminate.

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Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.
goblinko [34]

15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.

Given that, suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

<h3>What is a permutation?</h3>

A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

Now, 13P_{5}= 13!/(13-5)!

= 13!/8! = 13x12x11x10x9= 1287 x 120 = 15,444

Therefore, 15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.

To learn more about the permutation visit:

brainly.com/question/1216161.

#SPJ1

3 0
2 years ago
The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?
deff fn [24]
D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters

d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes

6 0
3 years ago
A fair owner made 18 dollars when a group of 3 people entered which is a rate of dollar per person
Rus_ich [418]

Answer:

$6

Step-by-step explanation:

If a fair owner makes $18 for a group of 3 people, then the amount per person is 18 ÷ 3 = 6. The rate is $6.

7 0
3 years ago
In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of th
IrinaVladis [17]

Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.


               (The side adjacent to angle C ) divided by (hypotenuse)

is the cosine of angle C .       


                    (adjacent) / (10 inches)  =  cos(40 degrees)

Multiply each side by (10 inches):

                    Adjacent side = (10 inches) x cos(40) =

                                              (10 inches)  x  0.766  = 

                                                              7.66 inches   (rounded)
 
6 0
3 years ago
Read 2 more answers
Which of the following graphs represents the solutions of the following systems?
Fynjy0 [20]
We have that
x²<span> - y = -2
4y - 8 = x

using a graph tool
see the attached figure

the answer in the attached figure</span>

5 0
3 years ago
Read 2 more answers
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