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Eva8 [605]
3 years ago
6

There are two numbers, that sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are th

e numbers ?
Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0

Answer:

x = 18  (Smaller number)

y = 35 (Larger number)

Step-by-step explanation:

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.

Nina [5.8K]3 years ago
6 0

Answer:

18 and 35

Step-by-step explanation:

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.

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STatiana [176]

Answer:

1+1=2

Step-by-step explanation:

8 0
3 years ago
The sum of the measures of two exterior angles of a triangle is 255°. What is the measure of the third exterior angle?
Juliette [100K]
Answer its b hope is helps 

5 0
3 years ago
What is the probability of selecting a red jack from a deck of cards?
Ostrovityanka [42]

Answer:

There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.

Step-by-step explanation:

3 0
2 years ago
Rajesh invested $30,000 into an account that compounds interest monthly at a rate of 2.16%. He has made arrangements to withdraw
Bond [772]

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

The Principal Amount(P) = $30,000

Rate of Interest (r) = 2.16 %

Time(t) = 10 years

Number of Times it is Compounded in a year(n) = 12

Now, we have

A =P(1+\frac{r}{100n}) ^{nt}

Putting all the values, we evaluate the amount,

A =30,000(1+\frac{2.16}{100*12}) ^{12*10}\\\\A = 30,000 * 1.240\\A = 37,225.84

Hence, the Amount after Compound Interest = $37,225.87

Now, The loan amount that he pays = 300 *12*10 = $ 36,000

Yes, he will have enough money in the account to cover all of the required loan payments.

To read more about Compound Interest, visit brainly.com/question/29335425

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5 0
1 year ago
A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the
Reika [66]

Answer:

a = 1565217.39 ft / s ^ 2

t = 0.001725 seconds

Step-by-step explanation:

The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

28 in * (1 ft / 12 in) = 2.33 ft

Now yes, we can continue, we have the following data:

vi = 0

vf = 2700 ft / s

the equations in this case are as follows:

vf = vi + a * t

vf = a * t

rearranging for a

a = vf / t (1)

now with the position equation we know that:

x = vi * t + (a * t ^ 2) / 2

x = (a * t ^ 2) / 2 (2)

now replacing (1) in (2), we are left with:

x = (vf / t) * (t ^ 2) / 2

knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.

2.33 = 2700 * t / 2

t = 2.33 * 2/2700 = 0.001725 seconds.

and now replace in (1)

a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2

3 0
3 years ago
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