{UNIT RATES} A punch recipe calls for 2/3 of a pint of fruit juice for each pint of soda.

Mathematics

2 answers:

Julli [10]3 years ago

7 0

Well the ratio will be 2:3

Naily [24]3 years ago

3 0

The ratio of soda to fruit juice in the punch is 1 to 2/3

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The linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage. Let x represent the num

Alex777 [14]

Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation:

y = 30x

Here, x represent the number of hours and y represent the number of miles.

When x = 12 hours then

y = 30(12) = 360 miles

If draw the graph the equation y = 30x, it will be a linear equation.

(refer attached picture)

Thus, Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0

2 years ago

The difference between the roots of the equation 3x^2+bx+10=0 is equal to 4 1/3 . Find b.

telo118 [61]

$\textit{quadratic formula}\\
{{ 3}}x^2{{ +b}}x{{ +10}}=0
\qquad \qquad 
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
\\ \quad \\
meaning\implies x=\cfrac{-b\pm\sqrt{b^2-4(3)(10)}}{2(3)}\qquad now
\\ \quad \\
\cfrac{-b\pm\sqrt{b^2-4(3)(10)}}{2(3)}\to 
\begin{cases}
\cfrac{-b+\sqrt{b^2-4(3)(10)}}{2(3)}
\\ \quad \\

\cfrac{-b-\sqrt{b^2-4(3)(10)}}{2(3)}
\end{cases}\impliedby \textit{two roots}$

$\textit{and their root difference is }4\frac{1}{3}\implies \cfrac{13}{3}\qquad so
\\ \quad \\
\left[ \cfrac{-b+\sqrt{b^2-4(3)(10)}}{2(3)} \right]-\left[ \cfrac{-b-\sqrt{b^2-4(3)(10)}}{2(3)} \right]=\cfrac{13}{3}
\\ \quad \\
\left[ \cfrac{-b+\sqrt{b^2-4(3)(10)}}{6} \right]+\left[ \cfrac{+b+\sqrt{b^2-4(3)(10)}}{6} \right]=\cfrac{13}{3}
\\ \quad \\
\cfrac{-b+\sqrt{b^2-4(3)(10)}+b+\sqrt{b^2-4(3)(10)}}{6}=\cfrac{13}{3}
\\ \quad \\
\cfrac{2\sqrt{b^2-4(3)(10)}}{6}=\cfrac{13}{3}$

and I'm pretty sure you can take it from there

7 0

3 years ago

If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?

Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

$A=(4)(16)=64\ units^2$