Solve the system my elimination 9x + 2y = 9 6x - 2y = -4
Answers
Answer:
x = 1/3 y= 3
Step-by-step explanation:
9x + 2y = 9
6x - 2y = -4
Add the two equations to eliminate y
9x + 2y = 9
6x - 2y = -4
----------------------
15x = 5
Divide each side by 15
15x/15 = 5/15
x = 1/3
Now we need to find y
6x - 2y = -4
6(1/3) -2y = -4
2 -2y = -4
Subtract 2 from each side
2-2y-2 = -4-2
-2y = -6
Divide each side by -2
-2y/-2 = -6/-2
y = 3
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What is the 10th term of the sequence 64, 16, 4,...?a. 1/1024 b. 1/256 c. 1/4096 d. 1/496
Phil deposited $1,000 in a savings account. how much will he have in his account in two years if his account is compounded annually at a 2% interest rate?
8x-9y=11 Solve for y.
a.-1/8
b.-1/4
c.-1/2
Answers
Find the common difference:
Rules in subtracting fraction
1) make sure the each fraction has a common denominator
2) if they have different denominators, find each least common multiple.
3) multiply the fraction by the lcm. apply the lcm to both numerator and denominator
1/4 - 1/2
1/4 - (1/2 * 2/2)
1/4 - 2/4 = 1-2/4 = -1/4
0 - 1/4 = -1/4
The common difference is B. -1/4
The common difference of the sequence is b. -1/4.
Answers
Given:
Given that the two sides of the triangle are x, 4.0 and 5.6
We need to determine the range of possible sizes for the side x.
Range of x:
The range of x can be determined using the triangle inequality theorem.
The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".
Thus, applying the theorem, we have;
Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".
Thus, we have;
Thus, the range of possible values for x are
Final answer:
In accordance with the triangle inequality theorem, the range for the length of the third side (x) in a triangle with sides of 4.0 and 5.6 is greater than 1.6 but less than 9.6.
Explanation:
In the field of Mathematics, specifically geometry, to find the range of possible lengths of a side of a triangle, you need to understand the triangle inequality theorem. The triangle inequality theorem states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides, but more than the absolute difference.
Given you have two sides, 4.0 and 5.6, the possible length for side x should be less than (4.0 + 5.6 = 9.6) and greater than the absolute difference (5.6 - 4.0 = 1.6). So, the range for side x should be 1.6 < x < 9.6.
Learn more about Triangle Inequality Theorem
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Answers
Answers
The solution to the equation 42 = 8m + 13m is m = 2.
Here, we have,
To solve the equation 42 = 8m + 13m, you can combine like terms and isolate the variable "m".
Here's how you can do it step by step:
Combine the like terms:
42 = (8 + 13)m
Simplify:
42 = 21m
Divide both sides of the equation by 21 to isolate "m":
42/21 = (21m)/21
Simplify further:
2 = m
Therefore, the solution to the equation 42 = 8m + 13m is m = 2.
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21m.
21m = 42.
Step two: Divide 42 by 21.
m = 2.
event. If x represents the cost for each snack gift basket and
y represents the cost for each chocolate gift basket, what is the cost
for each chocolate gift basket?
(1) $20 (3) $30
(2) $25 (4) $54
Answers
Answer:
$30
Step-by-step explanation:
Solving the equation given simultaneously to get the x and y variable;
6x + 5y = 300... (1) × 1
3x + 7y = 285... (2) × 2
Using elimination method, we will multiply equation 1 by 1 and equation 2 by 2 as shown above to have;
6x + 5y = 300... 3
6x + 14y = 570... 4
Subtracting equation 3 from 4, we have;
5y-14y = 300-570
-9y = -270
y = 270/9
y = 30
Since y represent the cost for each chocolate gift basket, the cost of each chocolate gift basket will be $30
Multiply the second equation by -2, then subtract it from the first equation. It should be
6x+5y=300
-6x-14y=-570
-9y=-270
y=30
Answers
8/(x-7)=7/2
==>(x-7)*7=8*2
==>7x-49=16
==>7x=65
==> x =9+2/7
Answser A