Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 66° with the

The lovin lemonade company sells a 4 gallon jug of lemonade for $24 the sweet and sour company sells an eight pack of 1 quart bo

lbvjy [14]

One way to compare is to find the price per gallon.
$24 for 4 gallons = 24÷4 = $6 per gallon

8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon) So you get 2 gallons for $16
$16 ÷ 2 = $8.00 per gallon. Sweet and Sour has the higher unit price.
Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
4gal for $24 = 16 quarts for $24 ( 1 gallon = 4 qts)
$24 ÷ 16 = $1.50 each (1 $\frac{1}2}$ )
vs.
8 quarts for $16 $16 ÷ 8 = $2.00 per qt. Sweet and sour still has the higher unit price

7 0

3 years ago

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The radius of a circle is 12 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

hram777 [196]

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ A=10\\ r=12 \end{cases}\implies 10=\cfrac{\theta \pi 12^2}{360}\implies 10=\cfrac{2\pi \theta }{5} \\\\\\ 20=2\pi \theta \implies \cfrac{20}{2\pi }=\theta \implies \cfrac{10}{\pi }=\theta \implies 3.18\approx \theta$

6 0

3 years ago

Solve this simultaneous equation x+2y=11 x-2y=1

lana [24]

Answer:

Equation 1,

$x + 2y = 11$

Equation 2,

$x - 2y = 11$

Take equation number 2.

$x - 2y = 11 \\ x = 11 + 2y$

Substitute 'x' in Equation number 1.

$x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0$

y = 0.

So x,

$x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11$

x = 11.

7 0

3 years ago

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The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other

Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

$x+y=21$

Subtract x from both sides

$y=21-x$

height of 4 fir trees = pine tree +24

$4x=y+24$

Substitute 21-x or y in the above equation

$4x=21-x+24$

Add x on both sides

$5x=45$

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

$y=21-x$

$y=21-9$

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

4 0

3 years ago

An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining after 12 minutes, to the nearest

Korolek [52]

$\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &730\\
r=rate\to 27.6\%\to \frac{27.6}{100}\to &0.276\\
t=\textit{elapsed time}\to &12\\
\end{cases}
\\\\\\
A=730(1-0.276)^{12}\implies A=730(0.724)^{12}$

8 0

3 years ago

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