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
castortr0y [4]
3 years ago
13

Find three consecutive even integers have a sum of 48.

Mathematics
2 answers:
yan [13]3 years ago
7 0

Answer:

14, 16, 18

Step-by-step explanation:

x + (x+2) + (x+4)= 48

3x + 6 = 48

3x = 42

x = 14

x+2 = 16

x+4 = 18

yanalaym [24]3 years ago
7 0

Answer:

14, 16 and 18

Step-by-step explanation:

let the numbers be defined as x, x+2 and x+4.

Now,

x+x+2+x+4=48

3x+6=48

subtract 6 from both sides

3x=48-6

3x=42

divide both sides by 3

x=42/3=14

therefore

x=14

x+2=16

X+4=18

Hence, the numbers are 14, 16 and 18.

You might be interested in
Larry was paid a total of $30 for raking leaves for 8 hours of work. This rate is constant. What will be the total amount that L
adelina 88 [10]

Answer:

Hi! The correct answer is $75 for 20 hours.

Step-by-step explanation:

7 0
3 years ago
For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
Simplify this fraction.<br> 6/5
mixer [17]

Answer:

6/5 is the lowest term.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Problem Page
LenKa [72]
2:7 , 2 to 7, 2/7 <====
4 0
3 years ago
How can you find the slope of a line and use it to<br> solve problems?
ziro4ka [17]

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

5 0
3 years ago
Other questions:
  • Nia wants the total weight of her luggage to be no more than 50 kilograms. She has
    12·2 answers
  • Can someone help me with this paper? I have the answers because the teacher gave us them but I’m not sure how to work them out.
    7·1 answer
  • Find the x and y intercepts of the line with equation 3y - 6 = 3?
    12·2 answers
  • Five times a number is divided by 7 more than the number. If the result is 2 then what was the original number?
    14·1 answer
  • same as making dinner for four people the recipe calls for 15 oz of steak for 4 people how much DayQuil and he need if he makes
    15·1 answer
  • What is the standard form of the number shown in the calculator display? 3.82e+7
    13·1 answer
  • What is the tangent ratio for angle B?
    6·1 answer
  • Help! What is the answer?
    15·2 answers
  • Which statements best describe the box plot or histogram? Check all that apply.
    5·1 answer
  • Please answerr thanksss will mark bainlest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!