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3 years ago

5

If you had 12 pieces of licorice to share equally among 5 people, how much licorice would each

2 answers:

pentagon [3]3 years ago

7 0

12÷5=1.5 of licorice will each person get

dolphi86 [110]3 years ago

4 0

Well, 12/5 equals 2.4 so i'm guessing 2 and 1/3 of it?

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When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?

drek231 [11]

Answer:

B. x

Step-by-step explanation:

-3x+8y=-6

3x-2y=-12

if we add these

-3x+3x+8y-2y=-6-12

6y=-12 so x will be eliminated

8 0

3 years ago

What is -5/6 divided by 9/10 <br><br><br> 50 POINTS!!!!!<br><br> plz help me im so tired

gladu [14]

Hello!

The answer is -25/27.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =

DanielleElmas [232]

Answer:

$c = 5$

Step-by-step explanation:

Given

$f(c) = M$

$f(x) = x^2 - x + 1$

$Interval: [1,8]$

$M = 21$

Required

Find c using Intermediate Value theorem

First, check if the value of M is within the given range:

$f(x) = x^2 - x + 1$

$f(1) = 1^2 - 1 + 1$

$f(1) = 1$

$f(x) = 8^2 - 8 + 1$

$f(x) = 57$

$1 \le M \le 57$

$1 \le 21 \le 57$

M is within range.

Solving further:

We have:

$f(c) = f(x) = M$

$f(x) = 21$

Substitute 21 for f(x) in $f(x) = x^2 - x + 1$

$21 = x^2 - x + 1$

Express as quadratic function

$x^2 - x + 1 - 21 = 0$

$x^2 - x - 20 = 0$

Expand

$x^2 + 4x - 5x - 20$

$x(x+4)-5(x+4)=0$

$(x - 5)(x+4) = 0$

$x - 5 = 0$ or $x + 4= 0$

$x = 5$ or $x = -4$

The value of $x = -4$ is outside the $Interval: [1,8]$

So:

$x = 5$

$f(c) = f(x) = M$

$f(c) = f(5) = 21$

By comparison:

$c = 5$

4 0

2 years ago

20 POINTS!!!!! What is the value of p in the equation below? 4/5p + 6= -1/3p - 3 <br> p=?

Misha Larkins [42]

For this case we must solve the following equation:

$\frac {4} {5} p + 6 = - \frac {1} {3} p-3$

Adding $\frac {1} {3} p$ to both sides of the equation we have:

$\frac {4} {5} p + \frac {1} {3} p + 6 = -3\\\frac {3 * 4 + 5 * 1} {3 * 5} p + 6 = -3\\\frac {12 + 5} {15} p + 6 = -3\\\frac {17} {15} p + 6 = -3$

Subtracting 6 from both sides of the equation:

$\frac {17} {15} p = -3-6$

Equal signs are added and the same sign is placed:

$\frac {17} {15} p = -9$

We multiply by 15 on both sides of the equation:

$17p = -9 * 15\\17p = -135$

We divide between 17 on both sides of the equation:

$p = - \frac {135} {17}$

Thus, the value of the variable p is $- \frac {135} {17}$

Answer:

$p = - \frac {135} {17}$

4 0

3 years ago

Make a pattern starting at -7 with term to term rule of +2

sammy [17]

Answer:

-7, - 5, - 3, - 1, 1, 3

Step-by-step explanation:

The question basically means that the 1st number in the number line pattern is - 7. And that the difference between the consecutive terms (e. G. Term 1 and term 2, term 3 and term 4...) is +2.

Basically term 2 is (Term 1) +2

Term 3 is (term 2) +2

8 0

3 years ago