On his math test, Balavan wrote that a four-sided polygon that has at least two right angles must be a rectangle or a square. De

Let

x represent the cost per pound of ham
y represent the cost per pound of cheese

<span>1.3x + 0.8y = 11.28....(1)
1.5x + 1.2y = 14.76....(2)

Now, let's multiply equation (1) by -1.2
...and multiply equation (2) by 0.8

Then we obtain -1.56x - 0.96y = -13.536.....(3)
</span>...and 1.2x + 0.96y = 11.808.....(4)


Adding (3) and (4) results in

-0.36x = -1.728............> x = 4.8

Substituting x back into (1)

1.3(4.8) + 0.8y = 11.28

y = 6.3

Cost per pound of ham = x = 4.8
Cost per pound of cheese = y = 6.3

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies for m miles traveled.

The second company's charge for the same m miles is .

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to .

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

2. Cost per mile for the second company

3. The difference:

Let n denote the number of days and C the total cost; Charges by Day and Night kennel, C=15+20n Charges by Home Away from Home; C=5 + 30n The resulting system of equations would be; C=15+20n C=5+30n

Answer:

The four odd numbers in sequence are 89, 90, 91, and 93.

Step-by-step explanation:

Designate the four consecutive numbers as x, x+2, x+4, and x+6.

Based on the information given in the question

x + (x + 2) + (x + 4) + (x + 6) = 368

4x + 12 = 368

4x = 356

x = 89

Consequently, the numbers are 89, 90, 91, and 93.

Hope this is helpful:)

Answer:

The linear equations are:

Step-by-step breakdown:

Here, a denotes the quantity of 2-point shots, and b indicates the number of 3-point shots.

According to the information given:

The basketball team accumulated 82 points through 2-point and 3-point baskets.

⇒

It is also stated that: They made a total of 38 baskets.

⇒

therefore, the linear equations are: