PLEASE HELP!!!!!! Which system of equations represents the following situation?

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

The answer is c explanation took test

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samantha is making punch for a class picnic. there are 25 students in her class. Samantha uses 1 gallon 2 quarts of orange juice

Alex_Xolod [135]

Answer:

4 gallons
yes

Step-by-step explanation:

A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...

(1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal

Samantha made 4 gallons of punch.

1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...

(1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal

Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.

6 0

3 years ago

Find the value of the variable and YZ if Y is between X and Z. <br><br> XY=4n+3, YZ=2n-7,XZ=22

ruslelena [56]

Answer:

$\large \boxed{n = \dfrac{13}{3}; YZ = \dfrac{5}{3}}}$

Step-by-step explanation:

I think you have the situation shown in the diagram below.

1. Calculate the value of n

$\begin{array}{rcl}XY + YZ & = & XZ\\4n+ 3 + 2n - 7 & = & 22\\6n - 4 & = & 22\\6n & = & 26\\n & = & \dfrac{26}{6}\\\\& = & \mathbf{\dfrac{13}{3}}\\\end{array}\\\large \boxed{\mathbf{n = \dfrac{13}{3}}}$

2. Calculate the value of YZ

$\begin{array}{rcl}YZ & = & 2n - 7\\& = & 2\left (\dfrac{13}{3}\right ) - 7 \\\\& = & \dfrac{26}{3} - 7\\\\& = & \dfrac{26}{3} - \dfrac{21}{3}\\\\& = & \dfrac{5}{3} \\\\\end{array}\\\large \boxed{YZ = \mathbf{ \dfrac{5}{3}}}$