There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.

Answer:

2 and 10

Step-by-step explanation:

Answer:

x(x+1)=6​

Step-by-step explanation:

6= 2 numbers, one after the other, so you have the same number and add 1 to make the second number.

Example:

6=2.5 and 3.5

Answer:

X * (x+1) = 6

Step-by-step explanation:

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

Answer: y= -2x + 4

Hope this helps.

Answer:

1/3

Step-by-step explanation:

2-0=2

-1 - -7 = 6

2/6. = 1/3

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]

Therefore, our system now becomes:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]

Now, we can add these two equations together and solve for y.

[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]

Now, we can substitute our value for y into one of the equations and solve for x.

[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]

Therefore, our final solution is (-4, 4).

Answer:

x=0

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

12= -4(-6x-3)

12=24x+12

-24x= 12-12

-24x=0

X=24

Answer:

since they both bisect themselves it means they are equal

i.e 3x=5x-30

3x-5x=-30

-2x=-30

minus cancels minus

2x=30

x=15

Answer:

x = 15

Step-by-step explanation:

3x = 5x - 30

-2x = -30

x = 15

Answer:

x=33

Step-by-step explanation:

subtract 17 from both sides, and then you are left with x=33

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

[tex]y-y_1=m(x-x_1)[/tex]

Put y₁ = -6, x₁ = 1 and m = -2

[tex]y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4[/tex]

Hence, the equation of line is y=-2x-4.

Answer:

{-1, 0, 1, 2}

Step-by-step explanation:

Answer:

Phrase:they are small groups standing together as a conceptual unit

Clause:it is a unit of grammatical organization next below the sentence in rank

Sentence: it is a set of words that is complete in itself

Answer:

Cousin has a greater range of score.

Step-by-step explanation:

Range = Highest No. - Lowest No.

Range of cousin's score = +6 - (-2)

                                        = +6+2 = 8

Range of friend's score = -2 - (-3)

                                       = -2 + 3  = 1

Cousin has a greater range of score.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The slides is 36 and the angle is 180.

Step-by-step explanation:

14.4m+15.6m+6m=36

90+30+50=180  

If they ask why it is 180 because when adding all the angles it has to give you a total of 180.

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

Answer:

i pretty sure it's 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:%-0.175

Step-by-step explanation: subtract 17.5 percent - 35 percent

Answer:

= 117/58

Step-by-step explanation:

First of all 1*1 = 1 because a number multiplied by 1 is always itself. We then have to divide 1 by 58 is 0.017  and that +26 is equal to 26.017. Lastly, we have our answer 26.017 or if you wanted it as a fraction 26 1/58!

Answer:

[tex] \rm x = \dfrac{2e - 1}{ {e}^{2} } [/tex]

Step-by-step explanation:

[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} } [/tex]

Answer:

We have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.

Step-by-step explanation:

Since the string type is determined by the initial and terminal bits as understood from the question, then the value of the bits between the initial and terminal bits is of no concern to us.

Now, to be sure you have atleast 6 of the same type, we select each string five times. By doing this, we have already selected 20 strings because we have 4 strings there. Now if you choose any of the string one more time, we are certain that we must have chosen atleast 6 strings that are the same. This means we have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.

Answer:

56x4

Step-by-step explanation:

56x2= 112 so since you have 56x2 twice you want to add 112+112 to get 224 now what you wanna do is to divide 56 from 224 and your answer will be 4 so you can say 56x4

Answer:

1. All heart attack patients that the cardiologist has cared for or will care for in the future ⇒ B. POPULATION (entire group of individuals from where the sample must be chosen)

2. The 32 heart attack patients who were observed by the cardiologist ⇒ D. SAMPLE (the group that was observed)

3. The average recovery time for all heart attack patients that the cardiologist has or will treat ⇒ A. PARAMETER (the mean of the whole population)

4. The average recovery time for the 32 heart attack patients ⇒ E. STATISTICS (the mean of the sample)

5. The recovery time for a heart attack patient ⇒ F. VARIABLE  (the data's attribute or value)

6. The list of all 32 heart attack patients' recovery times ⇒ C. DATA (information collected form the sample)

Answer:

x>9

Step-by-step explanation:

Remark

You have to watch this question when you divide by a minus. We should try to eliminate that possibility.

Equation

7 - 2/3 x < x - 8             Add 2/3 x to both sides

7 < x + 2/3 x - 8            Combine the like terms on the right.

7 < 1 2/3 x - 8                Add 8 to both sides

7 + 8 < 5/3 x                 Combine the left

15 < 5/3  x                    Multiply both sides by 3/5

15*3/5 < 5/3*3/5 x

9 < x

Since all the answers have the x on the left, we have to put this answer so that x is on the left. Be very careful. The big end of the arrow is towards the x. We have to make sure it stays that way.

x > 9

The answer is A

Answer:

E (none of the above)

Step-by-step explanation:

1 = k(1.5)

2 = k(3)

Therefore, k = 2/3

and when we put k = 2/3 into all values in the table we notice it is right

but it could be "A" also if the relationship was cups of water to cups of rice