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masha68 [24]
3 years ago
8

Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ

ires 4 square feet of space malia’s garden has an area of 150 square feet which inequality represents this situation
Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0

Answer:

6 t + 4  p   ≤  150   is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants  

= t x ( Area required by 1  tomato plant)   = t x ( 6 sq ft)  = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p  pepper plants  

= p x ( Area required by 1  pepper plant)   = p x ( 4 sq ft)  = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants =   (6 t +  4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t +  4 p) sq ft   ≤  150 sq ft

or, 6 t + 4  p   ≤  150   is the required inequality.

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whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x}  \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7

how much will be it of the 10% juice?  well, y = 15 - x.
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<em>Comment on problem 24</em>

Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.

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