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3 years ago

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There are 16 people at a party they want to set up relay teams with exactly 3 people on each team will each person be on team ex

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2 answers:

nekit [7.7K]3 years ago

5 0

No because there is 16 people and 3 on each team so it will on resort to 5 teams and one extra

cestrela7 [59]3 years ago

5 0

No because 16 divided by 3 is 5.33 so you can’t have a fraction of a person on a team

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(½) (6x + 3) = 7 – (3x + 1)

erastovalidia [21]

$\tt Step-by-step~explanation:$

To solve for x, we have to remember to isolate the variable.

$\tt Step~1:$

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

$\tt (0.5)(6x+3)=7-(3x+1)$

Let's distribute the 0.5 first.

$\tt 0.5*6x=3x\\0.5*3=1.5$

$\tt Step~2:$

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

$\tt -1*3x=-3x\\-1*1=-1$

Then, we simplify the entire expression.

$\tt 7-3x-1=-3x+6$

$\tt Step~3:$

Our equation now:

$\tt 3x+1.5=-3x+6$

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.

$\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6$

$\tt Step~4:$

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

$\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5$

$\tt Step~5:$

Finally, we divide both sides by 6 to isolate x.

$\tt \frac{6x}{6} =x\\\frac{4.5}{6}= 0.75~or~\frac{3}{4}$

$\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}$

8 0

3 years ago

diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers & the steps to get the answers. pls don

Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

$m\angle XYZ=90^{\circ}$

This gives

$m\angle YXZ\text{ + m}\angle YZX\text{ = 90}$

But

$\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}$

Substituting values we get

$\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}$

hence, x =12

3 0

1 year ago

I have the answer but can someone explain how to solve this problem? Thanks!

uranmaximum [27]

Answer:

$32

Step-by-step explanation:

27 was how much money Taylor had after buying a salad that was worth 5 dollars.

Money before buying the salad is 27+5 = 32.

4 0

2 years ago

Find the coordinats of P

Crazy boy [7]

$\textit{internal division of a line segment using ratios} \\\\\\ A(8,6)\qquad B(-2,-9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(8,6)=3(-2,-9)$

$(\stackrel{x}{16}~~,~~ \stackrel{y}{12})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-27})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{16-6}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12-27}}{3+2} \right)} \\\\\\ P=\left( \cfrac{10}{5}~~,~~\cfrac{-15}{5} \right)\implies P=(2~~,~~-3)$

5 0

2 years ago

A point is reflected across the x-axis. The new point is (5 -3.5) What is the distance between the two points?

alukav5142 [94]

Answer:

10

Step-by-step explanation:

8 0

3 years ago