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Rama09 [41]
2 years ago
7

Find the ordered pair of x=5y-7 and x+5y=8

Mathematics
1 answer:
zepelin [54]2 years ago
3 0

Answer:

The desired ordered pair is (1/2, 3/2).

Step-by-step explanation:

Let's use the substitution method here to determine either x or y first:

x = 5y - 7 (given).  Then 5y - 7 can be substituted for x in x + 5y = 8:

5y - 7 + 5y = 8.

Combining like terms, we get 10y = 15, so that y = 3/2.

Find x by substituting 3/2 for y in x = 5y - 7:  x = 5(3/2) - 7 = 15/2 - 14/2 = 1/2

The desired ordered pair is (1/2, 3/2).

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dangina [55]

The answer would be -2 i had the same problem on my quiz and the correct answer was -2

4 0
3 years ago
A triangular prism is 4 millimeters long. It has a triangular face with a base of 13 millimeters. The volume of the prism is 416
muminat

Answer:

16 millimeters

Step-by-step explanation:

  • Length of the Triangular Prism=4 millimeters
  • Base Length of One Triangular Face=13 millimeters.
  • Volume of the Prism =416 cubic millimeters.

Now:

Volume of a Prism=Base Area X Prism Length

Since we have a triangular base:

Volume of the Prism=(0.5 X Base X Height) X Prism Length

Substituting the given values, we obtain:

416=(0.5 X 13 X Height) X 4

416=26 X Height

Divide both sides by 26

Height of its triangular face=16 millimeters

4 0
2 years ago
Read 2 more answers
Determine the number of real solutions of -2x2 + 5x - 3 = 0.
andrew11 [14]

-2x^2 + 5x -3 =0

Find the discriminate:

In the given formula a = -2, b = 5 and c = -3

The discriminate is found using the formula b^2 - 4(ac)

Replace the letters with their values:

5^2 - 4(-2*-3)

25 - 4*6

25-24 = 1

When the discriminate is greater than or equal to 0, there are two real solutions.

The answer is c) 2

4 0
3 years ago
Please help.<br> Is algebra.<br> PLEASE HELP NO LINKS OR FILES.<br> I don't want links.
alexandr1967 [171]

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  \dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}

Such division is carried out by first finding the quotient of the highest-degree terms:

  \dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

7 0
2 years ago
If 95 % of the students are present in a school and the number of absent students is 25, find the total number of students in th
Karolina [17]
100 minus 95 equals 5
25 equals 5%
100 divided by 5 equals 20
20 times 25 equals 500
500 minus 25 equals 475
Answer:475 students present/ 500 students total in school
8 0
3 years ago
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