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sdas [7]
2 years ago
5

A middle school is supplied with 3 bottles of germ x for every 2 students. If the middle school has exactly 856 students, how ma

ny bottles of germ x must be supplied? _________ bottles of germs
Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0
1,284 because you have to divide the students in half because it is every two students. And each pair gets three bottles.
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What are the coordinates of the point that is 1/6 of the way from a(14,-1) b(-4,23)
Nimfa-mama [501]

Answer:

\text{The coordinates of point is }P(a,b)=(\frac{80}{7}, \frac{17}{7})

Step-by-step explanation:

\text{Given the coordinates of point that is }\frac{1}{6}\text{ of the way from a(14, -1), b(-4, 23)}

\text{If a point }P(a, b)\text{ divides the line joining two points }(x_1,y_1)\text{ and }(x_2, y_2)\\ \text{ in the ratio m:n internally, then the coordinates of point P are given by}

P(a,b)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})

The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6

P(a,b)=(\frac{1(-4)+6(14)}{1+6}, \frac{1(23)+6(-1)}{1+6})

P(a,b)=(\frac{80}{7}, \frac{17}{7})

8 0
3 years ago
Which of the fractions are equivalent to the fraction below a.12/18. b.9/15 c.2/3. d.3\5 the fraction is 6/10
ollegr [7]

Answer:

<u>6</u>

10

=<u>3</u>

5

Step-by-step explanation:

3/5 you just need to divide

5 0
2 years ago
Hey can you please help! posted picture of question
frosja888 [35]
The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.

This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.

Second equation is:

Qx - 6y = 8 
Taking 2 common we get:

(Q/2)x - 3y = 4

Comparing this equation to x- 3y = 4, we can say that 

Q/2 = 1
So,
Q = 2

Therefore, the second equation will be:

2x - 6y = 8
5 0
3 years ago
PLEASE HELP ASAP !!
ololo11 [35]

Answer:

  MK

Step-by-step explanation:

ML is the short side of right triangle MLK. MJ is the hypotenuse of right triangle MKJ. This gives you a clue that the ratios of interest are the short side to the hypotenuse. All these right triangles are similar, so ...

  ML/MK = MK/MJ . . . . . ratio of short side to hypotenuse is the same

  ML·MJ = MK² . . . . . . . cross multiply

  MK = √(ML·MJ) . . . . . the geometric mean of ML and MJ is MK

7 0
3 years ago
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0
2 years ago
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