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Dimas [21]
3 years ago
13

If the sum of three consecutive integers is 36, what is the smallest of these integers?

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0
Let the three consecutive equals:
x, x+1, x+2

sum:
x+(x+1)+(x+2) = 36
3x + 3 = 36
x+1 = 36/3
x+1 = 12
x=12-1
x=11
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How do I solve the system of equations x^2 +y=0 and x^2+y=0? I have to use substitution
Wittaler [7]
Equations
• x² + y = 0 ... (1)
• x² - 4x - y = 0 ... (2)

Answer -> (x, y) = (2, -4)

Step-by-step solution:

From equation 2,
-> y = x² - 4x ... (3)

• Substitute y into equation 1

-> x² + (x² - 4x) = 0
-> 2x² - 4x = 0
-> 2x² = 4x
-> x²/x = 4/2
-> x = 2

• Put x = 2 in equation 3

-> y = (2)² - 4(2)
-> y = 4 - 8
-> y = -4
5 0
3 years ago
If you have $20 and spend $12 on food, what fraction of your money do you still have?
Bas_tet [7]

Answer:

2/5

Step-by-step explanation:

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8 0
2 years ago
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Question 2 (essay worth 10 points)
Sliva [168]

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Minni is arranging 3 different music CDs in a row on a shelf.

Three CDs are a jazz cd (j), a pop cd (p), and a rock cd (r).

The sample space means all the possible ways to arrange the CDs.

Total arramgement = 3! = 3×2×1 = 6

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:

{JPR, JRP, PJR, PRJ, RJP, RPJ}

Thus, the sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

Learn more about permutation and combination here:

brainly.com/question/2295036

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4 0
2 years ago
Add x^3 - 4x^2 + 1 to 3x^2 + x <br> Show Your work!
Sladkaya [172]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \: (x {}^{3}  - 4x {}^{2}  + 1) + (3 {x}^{2}  + x)

\qquad \sf  \dashrightarrow \:  {x}^{3}  - 4 {x}^{2}  + 1 + 3 {x}^{2}  + x

\qquad \sf  \dashrightarrow \:  {x}^{3}  - 4 {x}^{2}  + 3x {}^{2}  + x + 1

\qquad \sf  \dashrightarrow \:  {x}^{3}  -  {x}^{2}  + x + 1

6 0
2 years ago
PLEASEEEEEE HELP!!<br> LOOK AT THE PICTURE PLS!
Serga [27]
The answer is -6 because the square root of 36 is 6, but then you have to add the negative in front of it.
3 0
3 years ago
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