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Pepsi [2]
2 years ago
13

Please help with this math homework question below.

Mathematics
1 answer:
zlopas [31]2 years ago
4 0

<u>Given</u>:

The given equations are -6 x+4 y=22 and y=11-4 x

We need to determine the pair of numbers that is a member to the system of equations.

<u>Pair of numbers:</u>

The pair of numbers can be determined by solving the system of equations.

Let us use the substitution method to solve the equations.

Substituting y=11-4 x in the equation -6 x+4 y=22, we have;

-6 x+4 (11-4x)=22

  -6 x+44-16x=22

             44-22x=22

                  -22x=-22

                        x=1

Thus, the value of x is 1.

Substituting x = 1 in the equation y=11-4 x, we get;

y=11-4(1)

y=11-4

y=7

Thus, the value of y is 7.

Hence, the pair of numbers that is a member of both the equations are (1,7)

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The area of a square can be tripled by increasing the length and width by 10 inches. What is the original length of the square?
trapecia [35]
The new square has length: 10 + l, where l is the original length of the square, and it's area is (10 + l)^2;
So, we solve the equation: 3 x l^2 = (10 + l)^2;
Then, 3 x l^2 = 100 + 20 x l + l^2;
Finally, 2xl^2 - 20xl - 100 = 0;  / ÷2;
l^2 - 10l - 50 = 0 (we use the quadratic equation formula);
The only positive solution is l = 5(1+ \sqrt{3} );


5 0
2 years ago
A collection of nickels and dimes is worth $6.10. There are 67 coins in all. how many nickels are there?
Dmitrij [34]

 Question 1:

 For this case, the first thing we must do is define variables.
 We have then:
 x: number of nickels
 y: number of dimes
 We write the system of equations that adapts to the problem.
 We have then:
 0.05x + 0.10y = 6.10
 x + y = 67
 Solving the system we have:
 x = 12
 y = 55
 Answer:
 there are 12 nickels

 Question 2:

 For this case, the first thing we must do is define variables.
 We have then:
 x: Allan's score
 y: Dave's score
 We write the system of equations that adapts to the problem.
 We have then:
 x + y = 375
 x = 2y-60
 Solving the system we have:
 x = 230
 y = 145
 Answer:
 
Dave: 145 Allan: 230
7 0
2 years ago
What is x-2y=-1 and 2x+y=4 using elimination step by step
otez555 [7]

Answer:

x = 7/5  , y = 6/5

Step-by-step explanation using elimination:

Solve the following system:

{x - 2 y = -1 | (equation 1)

2 x + y = 4 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 4 | (equation 1)

x - 2 y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 4 | (equation 1)

0 x - (5 y)/2 = -3 | (equation 2)

Multiply equation 2 by -2:

{2 x + y = 4 | (equation 1)

0 x+5 y = 6 | (equation 2)

Divide equation 2 by 5:

{2 x + y = 4 | (equation 1)

0 x+y = 6/5 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 14/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 7/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Collect results:

Answer: {x = 7/5  , y = 6/5

5 0
3 years ago
Evaluate using distributive property <br> 16 x ( -3/8)+16 x 1/4
geniusboy [140]
Answer now now now now

8 0
3 years ago
the book is 300 pages david can read 1.8 pages per minute he only ha sone hour per day to read hom many days will it take him to
irina1246 [14]

Answer:

1 day

Step-by-step explanation:

i don't know hot to explain it, but technically i multiplied 1.8 time 60 (because there is 60 minutes in an hour, which will equal 108. now i multiplied 108 times 24 to see how many pages he can read in a day and it gave me 2592 and he only has to read 300 pages. So technically he can read 8 or more books of 300 pages in a day.

3 0
3 years ago
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