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12345 [234]
3 years ago
14

Solve using substitution. 8x + 5y = 4 x = 3 What is x and y?

Mathematics
2 answers:
Sloan [31]3 years ago
6 0

Answer: y=-4

Step-by-step explanation:

8(3)+5y=4

24+5y=4

subtract each side by 24

5y=-20

divide by 5

5 y=-4

solong [7]3 years ago
5 0

Answer: x = 3 : y = -4

Step-by-step explanation:

8x + 5y = 4

8(3) + 5y = 4

5y = 4 - 8(3)

5y = 4 - 24

5y = -20

(5y)/5 = -20/5

y = -4

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4 years ago
The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and
Julli [10]

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

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Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
find the length of the segment connecting the two given points. Write your answer in simplest form . ** Round your answer to the
taurus [48]

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Step-by-step explanation:

Because the Y is 0 for both, you can simply draw a line graph with one point at 15, and the other at -1. The difference between 15 and -1 is 16. Or ABS(15-(-1))=16

8 0
3 years ago
Negative 3 over 4 t equals 5
tatuchka [14]

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5645

Step-by-step explanation:

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4 0
3 years ago
Increase #500 in the ratio 16:10
Oxana [17]

Answer:

Answer is <em>900</em>.

Step-by-step explanation:

To find:

Increase #500 in the ratio 16:10

Solution:

<em>New Number: Old Number = 16:10</em>

We are given the old number as 500.

Let the new number after increase = x

Now, using the above ratio:

<em />x<em>: </em>500<em> = </em>16:10

\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900

Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.

3 0
3 years ago
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