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
sukhopar [10]
3 years ago
6

Katie is k years old. Harry is 4 years older than Katie. Rachel is twice as old as Harry. If you add together the ages of Katie,

Harry, and Rachel the total comes to 36 years. Algebraically, determine the age of each person.
Mathematics
1 answer:
vichka [17]3 years ago
5 0
K+(k+4)+2k=36
4k+4=36
4k=36-4
4k=32
k=8
You might be interested in
URGENT DUE SOON!! IF ANYONE COULD PLEASE ANSWER THE QUESTIONS ON MY PROFILE THAT WOULD BE AMAZING!!!
astraxan [27]

Answer:

ok sure

Step-by-step explanation:

8 0
2 years ago
PLEASSSSSE I NEED HELP BAD HELP PLEASE
charle [14.2K]

Answer:

See explanation

Step-by-step explanation:

Given the equation 3x-4y=12

A. Create the table of values for at least 4 points.

When x=0,

3\cdot 0-4y=12\\ \\-4y=12\\ \\y=-3

When x=2,

3\cdot 2-4y=12\\ \\-4y=12-6\\ \\-4y=6\\ \\y=-1.5

When x=4,

3\cdot 4-4y=12\\ \\-4y=12-12\\ \\-4y=0\\ \\y=0

When x=6,

3\cdot 6-4y=12\\ \\-4y=12-18\\ \\-4y=-6\\ \\y=1.5

When x=8,

3\cdot 8-4y=12\\ \\-4y=12-24\\ \\-4y=-12\\ \\y=3

Thus, the table is

\begin{array}{cc}x&y\\0&-3\\2&-1.5\\4&0\\6&1.5\\8&3\end{array}

B. Use the table of values to graph the line on the coordinate plane. Plot given points and connect them with the straight line (see attached diagram).

7 0
3 years ago
What is the nth term of quadratic sequence 4 7 12 19 28
Anni [7]
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:

Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².

We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
7 0
3 years ago
Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
3 years ago
Given that ABDC : EFGH, what is m G?<br> 27°<br> 90°<br> 117°<br> 120°
oksian1 [2.3K]
I think it would be 117

Because H is 63
So 90+90+63=243
360-243=117
I used 360 because angles in quadrilaterals add up to 360 degrees
4 0
3 years ago
Other questions:
  • Can anyone help me find the volume? i will help you be the brainliest!!
    9·2 answers
  • I don' need sleep i need answers <br><br> x2+10x= -9<br><br> x2-14x+40=-5
    15·1 answer
  • The ratio of the same side angles of two parallel lines is 33:3. Find all angles.
    13·1 answer
  • What is transferred by a water wave ?
    9·2 answers
  • Please Help!!!
    5·1 answer
  • Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3
    8·2 answers
  • What is the volume of this prism? ​
    14·1 answer
  • 100 points giveaway answer song name
    14·2 answers
  • A teacher orders school supplies by the pound.
    13·1 answer
  • What is the value of x?<br><br><br>Type your answer in the box. <br><br>X = <br><br>​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!