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Over [174]
3 years ago
8

At what point do the graphs of the equation 9x-2y=30 and x+2y=10 intersect?

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0
X + 4.5y = 20 is the answer
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Sara had 94 dollars to spend on 8 books. After buying them she had 14 dollars. How much did each book cost
cestrela7 [59]

Answer: $10

Step-by-step explanation:

Let's analize the information given: We know that  she had $94 to spend on 8 books and after buying these books she had $14. So, we need to calculate the amount of money she spent. Subtract $94 and $14:

Total\ spent=\$94-\$14\\Total\ spent=\$80

Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:

cost\ of\ each\ book=\frac{Total\ spent}{8}\\\\cost\ of\ each\ book=\frac{\$80}{8}\\\\cost\ of\ each\ book=\$10

3 0
3 years ago
Find the equation of the line that is parallel to the line x+3y=-15 that passes through the origin
Monica [59]
You would subtract x from each side. It would then be 3y=-x-15. Then you would divide all of the equation by 3. Your final answer would be y=-3x-5.
5 0
3 years ago
100, percent is shown on the following tape diagram.How many feet are in 3 miles?
lbvjy [14]

Answer: 15840

Step-by-step explanation:

8 0
2 years ago
What is the answer to this <br> 10−(4y−8)=2−5y
Harrizon [31]
The answer to this math problem is y=-16
8 0
3 years ago
The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
3 years ago
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