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BigorU [14]
3 years ago
15

The sum of two numbers is 24. Their difference is 15. What are the two numbers?

Mathematics
1 answer:
ipn [44]3 years ago
5 0
X+y = 24x-y = 15 Thus, x=15+y Substitute for x in first equation becomes 15 +y + y = 24. 2y=9; therefore y=4.5, and since x = 24-y, x= 19.5 Check answer: 4.5 + 19.5 = 24; 19.5-4.5 = 15

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Walking 10 blocks can cosume 75 calories. how many calories can you consume walking 25 blocks
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6 0
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Read 2 more answers
A car dealership sells suv's and passenger cars. For a recent year, 90 more suv's were sold than passenger cars. If a total of 5
Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

S+P=510

90 more SUVs were sold than passenger cars. In other words:

S=90+P

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

90+P+P=510

Combine like terms:

2P+90=510

Subtract 90 from both sides:

2P=420

Divide both sides by 2:

P=210

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

7 0
3 years ago
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars
Liono4ka [1.6K]

Answer:

Option C is the correct answer.

C.  5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0
3 years ago
Write 28/20 and 70/50 as fractions in simplest form. then determine whether the ratios form a proportion.
jeyben [28]
28/20 in simplest form is: 7/5
70/50 in simplest form is 5/7
Because,
28/20 divided by 2 is 14/10, divided by 2 again is: 7/5
70/50 divided by 2 is 25/35, divided by 2 again is: 5/7
5 0
4 years ago
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