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3 years ago

Need help please with this question need the answer fast.

Mathematics

1 answer:

AlladinOne [14]3 years ago

3 0

The answer is C, moderate negative association

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Mrs. Johnson used 4 4/5 liters of lemonade to fill 4 small pitchers. If each pitcher is the same size, how many liters of lemona

Rainbow [258]

Answer:

Each pitcher holds 1 1/5 liters of lemonade.

Step-by-step explanation:

divide 4 4/5 liters by the amount of pitchers and you get 1 1/5 as the size of one pitcher.

8 0

3 years ago

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0

3 years ago

(a) Find an angle between 0° and 360° that is coterminal with – 120°.

Novay_Z [31]

Answer:

a) $240\degree$

b) $\frac{15\pi}{4}$

Step-by-step explanation:

<u>Coterminal angles</u> have the same terminal sides in standard position.

a) To find an angle between $0\degree$ and $360\degree$ , that is coterminal with $-120\degree$ , we keep adding multiples of $360\degree$ until we get an angle within the specified range.