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sasho [114]
3 years ago
15

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

6x + 3y = 12

4x + y = 14

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

6x + 3y = 12 becomes

6 * 5 + 3 * -6 = 12

30-18 = 12

12 = 12

4x + y = 14 becomes

4 * 5 - 6 = 14

20 - 6 = 14

14 = 14

Because both solutions are true, then (5,-6) is a solution

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Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>


The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

Vn = 7 x 3 x 1.5 = 31.5 cm³.

28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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4 0
2 years ago
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Diano4ka-milaya [45]
X+y=7 and 16x+25y=148
8 0
3 years ago
Heres a set of data 2.4, 1.6, 3.2, 0.3, 1.5 each peice of data is increases by 10, what is the mean? each new peice of data is d
Leviafan [203]

Step-by-step explanation:

Mean is the ratio of the sum of the sample data to the total sample size.

1) Given the set of data 2.4, 1.6, 3.2, 0.3, 1.5, if each piece of data is increases by 10, the new data's will be;

(10+2.4), (10+1.6), (10+3.2), (10+0.3), (10+1.5)

sum of the new data's = 59

Sample size = 5

Mean = 59/5

Mean = 11.8

Hence if the price of data is increases by 10, its new mean will be 11.8

2) If each new piece of data is doubles, the new set of data will be;

2(2.4), 2(1.6), 2(3.2), 2(0.3), 2(1.5)

= 4.8, 3.2, 6.4, 0.6, 3.0

Sum of new data = 4.8+3.2+6.4+0.6+3.0

Sum of new data = 18

sample size = 5

Mean = 18/5

Mean = 3.6

Hence the new mean if the data were doubles is 3.6

4 0
2 years ago
A) Solve the system by substitution.<br> y = 5x – 3<br> -X – 5y = -11
Katen [24]

Answer:

Step-by-step explanation:

the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5

8 0
2 years ago
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5TH GRADE MATH HELP!!!!!!<br><br>solve 757 ÷10⁴​ =
fenix001 [56]

Answer:0.0757

Step-by-step explanation:

10^4 equals to 10*10*10*10=10000

now 757/10000=0.0757

8 0
3 years ago
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