1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murljashka [212]
2 years ago
8

4. Twice the larger of two numbers is three more than five times the smaller. The sum of four times the larger and three times t

he smaller is
71. What are the numbers?
Mathematics
1 answer:
Llana [10]2 years ago
5 0

Answer:

Smaller is 5, larger is 14

Step-by-step explanation:

y is larger, x is smaller

2y = 3 + 5x

4y + 3x = 71

Let's solve for y in the first one, then substitute that into the second one.

y = 3/2 + 5/2x

4(3/2 + 5/2x) + 3x = 71

12/2 + 20/2x + 3x = 71

6 + 10x + 3x = 71

13x = 65

x = 5

Substitute that in to the first equation:

2y = 3 + 5(5)

2y = 3 + 25

2y = 28

y = 14

check those answers in the second equation

4y + 3x = 71

4(14) + 3(5)

= 56 + 15 =71

You might be interested in
The fraction of a dime that is made up of copper is 12/16. Write this fraction as a decimal
Valentin [98]

Answer:

0.75

Step-by-step explanation:

we have the fraction

\frac{12}{16}

Simplify

Divide by 4 both numerator and denominator

\frac{12/4}{16/4}

\frac{3}{4}

To convert a fraction as a decimal, divide the numerator by the denominator

so

\frac{3}{4}=0.75

4 0
3 years ago
A half game in football is 45 min. At one point, a half was extended so that it was 48 minutes 30 seconds long. By what percenta
kozerog [31]

Answer:

8%

Step-by-step explanation:

Multiply the number 45 by at least 1 point 0 something and therefore.  We can assume that a 5% increase is around 47 minutes and 15 seconds and a 10% increase is around 49 minutes and 30 seconds ranging for you to use from 6% to 9%.  The exact answer for the increase is around 7.78%, for me, I would plug in the equation like 45*1.7 and 45*1.8 on the calculator for more accuracy since you would need to round to the full percentage if it's between 7.5% to the exact number, it would be fully rounded to 8% since you would need at least a 5 to round up.

3 0
3 years ago
Anyone know the last number
atroni [7]

Answer:

I think it is 52.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A swimming pool whose volume is 10 comma 000 gal contains water that is 0.03​% chlorine. Starting at tequals​0, city water conta
Katarina [22]

Answer:

C(60) = 2.7*10⁻⁴

t = 1870.72 s

Step-by-step explanation:

Let x(t) be the amount of chlorine in the pool at time t. Then the concentration of chlorine is  

C(t) = 3*10⁻⁴*x(t).

The input rate is 6*(0.001/100) = 6*10⁻⁵.

The output rate is 6*C(t) = 6*(3*10⁻⁴*x(t)) = 18*10⁻⁴*x(t)

The initial condition is x(0) = C(0)*10⁴/3 = (0.03/100)*10⁴/3 = 1.

The problem is to find C(60) in percents and to find t such that 3*10⁻⁴*x(t) = 0.002/100.  

Remember, 1 h = 60 minutes. The initial value problem is  

dx/dt= 6*10⁻⁵ - 18*10⁻⁴x =  - 6* 10⁻⁴*(3x - 10⁻¹)               x(0) = 1.

The equation is separable. It can be rewritten as dx/(3x - 10⁻¹) = -6*10⁻⁴dt.

The integration of both sides gives us  

Ln |3x - 0.1| / 3 = -6*10⁻⁴*t + C    or    |3x - 0.1| = e∧(3C)*e∧(-18*10⁻⁴t).  

Therefore, 3x - 0.1 = C₁*e∧(-18*10⁻⁴t).

Plug in the initial condition t = 0, x = 1 to obtain C₁ = 2.9.

Thus the solution to the IVP is

x(t) = (1/3)(2.9*e∧(-18*10⁻⁴t)+0.1)

then  

C(t) = 3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴t)+0.1)

If  t = 60

We have

C(60) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴*60)+0.1) = 2.7*10⁻⁴

Now, we obtain t such that 3*10⁻⁴*x(t) = 2*10⁻⁵

3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 2*10⁻⁵

t = 1870.72 s

7 0
3 years ago
A shop needs to mail 77 checks to the bank if they put 4checks in each envelope how many checks will be in the final envelope
andreev551 [17]
You have to divide 77 by 4 and then the reminder will be 1 so only one check will be there in the final envelop.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Y = x - 4<br> -2x + y = 18<br> Use elimination pls
    5·2 answers
  • Anna drove at a constant rate of 63 miles per hour for 3.2 hours. She determined she drove 201.6 miles. Which best explains the
    5·2 answers
  • 2/5=?? Help mee<br><br> Helpp
    14·2 answers
  • An internet company charges a one-time setup fee of $44.99 and a monthly fee of $29.99 for Internet service. The company is offe
    8·1 answer
  • I NEED HELP PLEASE, THANKS! :)
    15·1 answer
  • Can someone please answer this worksheet for me. I would be really thankful if you do so. ​
    9·1 answer
  • What is formula for circumference of a circle
    7·2 answers
  • Amy checks out four books from the library. The next week, she checks out six books. The week after that Amy checks out eight bo
    14·1 answer
  • Y= 1/3 x + 2
    15·1 answer
  • HELP ASAP ILL MARK BRAINLIEST
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!