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3 years ago

4x + 5y = 3 2x + 3y = 1

1 answer:

6 0

I'm assuming that you want to solve for both variables. In this scenario, the subtraction method will likely be your best choice.

Let's start off by multiplying all numbers in the second equation by -2:

4x + 5y = 3
-4x -6y = -2
_________
(Add these two equations)
0x -y = 1
y = -1

Now that we know the value for 'y,' we can input it into one of the equations to solve for x:

4x + 5y = 3
4x + 5(-1) = 3
4x - 5 = 3
4x = 8
x = 2

x = 2, y = -1

Let me know if you'd like me to explain anything I did here.

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What is the measure of an interior angle of a regular octagon

natta225 [31]

Sum of all interior angles in a octagon = (8 - 2) x 180 = 1080

1 interior angle = 1080 ÷ 8 = 135°

Answer: 135°

7 0

4 years ago

Read 2 more answers

The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar t

Mice21 [21]

Answer:

The longest length of the similar triangle is 7 inches

Step-by-step explanation:

If two triangles are similar, the ratio of their sides are equal

We shall be working the shortest and longest side of both

What we have here will be that;

The shortest length/ the longest length ratio in both triangles will be the same

Let the longest side of the similar triangle be x

8/14 = 4/x

8x = 4 * 14

x = (4 * 14)/8

x = 7 inches

3 0

3 years ago

Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *

nikklg [1K]

Answer:

He will run 60 kilometers.

Step-by-step explanation:

285 / 95 = 3

20 x 3 = 60

3 0

3 years ago

1.How much will $5,000 accumulate in 5 years if it earns 6% per annum for the first 3 years and then 8% per annum for the next 2

Pavel [41]

Answer: Amount after 5 years become $5937.60.

Step-by-step explanation:

Since we have given that

Principal amount = $5000

Time period = 5 years

Rate of interest for 3 years = 6%

Rate of interest for 2 years = 8%

so, Amount becomes

$Amount=5000(1+\dfrac{6}{1000})^3(1+\dfrac{8}{100})^2\\\\Amount=5000(1+0.006)^3(1+0.08)^2\\\\Amount=5000(1.006)^3(1.08)^2\\\\Amount=\$5937.60$

Hence, Amount after 5 years become $5937.60.

7 0

3 years ago

Write the expression in the form a^n 1/a^-5/6

tester [92]

Answer:

$\large\boxed{\dfrac{1}{a^{-\frac{5}{6}}}=a^\frac{5}{6}}$

Step-by-step explanation:

$a^{-n}=\dfrac{1}{a^n}\\\\-------------------\\\\\dfrac{1}{a^{-\frac{5}{6}}}=\dfrac{1}{\frac{1}{a^{\frac{5}{6}}}}=a^\frac{5}{6}$

5 0

3 years ago