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KiRa [710]
3 years ago
10

Need help Asap

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0
X = 44/23 and y= -5/23.

We want the coefficient of one of the variables to be the same in both equations; we can multiply the top equation by 3 and the bottom equation by 2 to make the coefficients of y equal:
3(10x-4y=20) → 30x-12y=60
2(8x+6y=14) →  16x+12y=28

This is possible due to the multiplication property of equality.

Now that the coefficients of y are the same, we can add the equations together (using the addition property of equality):
30x+16x = 60+28 
46x = 88 (addition of like terms)

Divide both sides by 46:
46x/46 = 88/46 (division property of equality)
x = 88/46 = 44/23

Now we substitute x into the first equation:
10(44/23) - 4y = 20
440/23 - 4y = 20

It will be easier to solve this if we have a common denominator; 20 wholes = (20*23)/23 = 460/23;

440/23 - 4y = 460/23

Subtract 440/23 from both sides (subtraction property of equality):
440/23 - 4y - 440/23 = 460/23 - 440/23
-4y = 20/23

Divide both sides by -4 (division property of equality):
-4y/-4 = 20/23 ÷ -4/1
y = 20/23 × -1/4 = -20/92 = -5/23
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Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1
WITCHER [35]

The ratio of the geometric sequence 402^{n-1} is 2.

Given that geometric sequence is 40*2^{n-1} and we have to find the common ratio of all the terms.

Geometric sequence is a sequence in which all the terms have a common ratio.

Nth termof a GP is ar^{n-1} in which a is first term and r is common ratio.

Geometric sequence=40*2^{n-1}

We have to first find the first term, second term and third term of a geometric progression.

First term=40*2^{1-1}

=40*2^{0}

=40*1

=40

Second term=40*2^{2-1}

=40*2^{1}

=40*2

=80

Third term=40*2^{3-1}

=40*2^{2}

=40*4

=160

Ratio of first two terms=80/40=2

Ratio of next two terms=160/80=2

Hence the common ratio of geometric sequence is 2.

Learn more about geometric progression at brainly.com/question/12006112

#SPJ1

4 0
2 years ago
A round table has 4 legs and a rectangular table has 6 legs. If 10 tables have a total of 52 legs, how many of the legs belong t
ivolga24 [154]

Answer:

16 because if each chair has 4 legs you multiply that by the amount of chairs you have. 4x4=16

Step-by-step explanation:

4x4=16

3 0
2 years ago
1. {26, 69, 30, 27, 19, 54, 27}<br><br> Mean: <br> , Median: <br> , Mode: <br> , Range:
den301095 [7]

Answer:

Mean:36

Median:27

Mode:27

Range:50

Step-by-step explanation:

Mean: 19+26+27+27+30+53+69/7=36

Median: The middle number in the sequence when arranged in ascending order which is 27

Mode: The number that appeared more than others which is 27

Range: This is the difference between the largest number and the lowest number in the sequence which is 50.

IF THIS HELPS PLEASE MARK ME AS BRAINLIEST

5 0
2 years ago
The parking garage has 9 rows with 10 parking spaces in each row. There are 8 empty spaces.How many spaces are filled?
andrew-mc [135]

Answer:

82

Step-by-step explanation:

&&'&_555555555----&&&&---

4 0
3 years ago
Read 2 more answers
Write and simplify an expression to model the relationship expressed in the situation below.
spayn [35]
V(p) = x-n, where V(p) is the volume after the boxes have been together, x is the volume of the larger box, and n is the volume of the smaller box.
x = 15 cm x 25 cm x 20 cm = 7500 cubic centimeters (cm^3)
n = 10 cm x 10 cm x 10 cm = 1000 cm^3
V(p) = 7500 - 1000 = 6500 cm^3
So your answer is 6500 cubic centimeters.
6 0
3 years ago
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