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Margarita [4]
3 years ago
6

One positive number is 5 times another number. The difference between the two is 1480.

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Hey there!

Let's create a systems of equations with x and y to find our numbers.

x=5y

x-y=1480

Let's plug our x value into the second equation.

5y=y=1480

4y=1480

y=370

Now we multiply this number by five as the first equation says to get our x.

x=1850

Our numbers are 1850 and 370.

I hope this helps!

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How many multiples of 4 are there in {n; 37< n <1001}?
s2008m [1.1K]
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Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:

<span>How many multiples of 4 are there in {n; 37< n <101}?  We could list and then count them:  {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval.  Try subtracting 40 from 100; we get 60.  Dividing 60 by 4, we get 15, which is 1 less than 16.  So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:

1000
   -40
-------
 960

Dividing this by 4, we get 240.  Adding 1, we get 241.

Finally, subtract 9 from 241:  We get 232.

There are 232 multiples of 4 between 37 and 1001.

Can you think of a more straightforward method of determining this number? </span>

5 0
3 years ago
Whats a line passing<br> through the<br> points (0, 0) and<br> (5,-7)?
Ipatiy [6.2K]

Answer:

y = -7/5x

Step-by-step explanation:

First, we need to use the two points to find the slope.

m = y₁ - y₂ / x₁ - x₂

m = -7 - 0 / 5 - 0

m = -7/5

Now we know that the slope is -7/5. Now we'll substitute the information we've gathered into the point-slope form equation to get an equation.

y - y₁ = m(x - x₁)

y - (-7) = -7/5(x - 5)

y + 7 = -7/5x + 7

y = -7/5x

Therefore, the equation of the line is y = -7/5x.

7 0
3 years ago
Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $
Lyrx [107]
$187,500 is cost of house. 20%, or $37,500 is the down payment. The loan amount would be $187,500 - $37,500 = $150,000. If we assume the annual rate of the loan is 4.65% Then the monthly rate would be 4.65%/12 = 0.3875% If the loan is $150,000, the interest is 0.3875% The interst for the first month is $150,000 * 0.3875% = $581.25. You stated that their payment is $1,575. So the amount that pays off the loan is $1,575 - $581.25 = $993.75. At the end of the month, they owe $150,000 - $993.75 = $149,006.25 For the second month, the amount of the payment that goes towards intrest is $149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60. At the end of the second month they owe $148,008.65. Regarding realized income, we recommend a monthly loan payment not to exceed 28% of the monthly income. So if a payment of $1,575 is 28% of Gross, then the math is : $1,575 = 0.28*Gross. Gross = $5,625 monthly. About $67,500 annually. About $33.75 an hour.
8 0
3 years ago
I need someone to teach me how to do at least half of these problems please help
Gwar [14]
Here, You need to substitute the value of x, and y, in the equation then check if L.H.S is equal to R.H.S or not. If they are equal then, ordered pair was correct, otherwise they are not applicable.

75) Here, oly option D can fit i the equation, we can check:
 3(-5) -2(-1) = -15+2 = -13 = R.H.S
So, the pairs are valid.

76) Here, only option D is your answer, 
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Do the same thing in every equation!

Hope this helps!
8 0
3 years ago
Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.This mornin
Georgia [21]

Answer:

\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}

Into an augmented matrix:

\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}

8 0
1 year ago
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