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makvit [3.9K]
3 years ago
15

Elsie loves to garden the width of her current garden is half the length. Elsie wants to increase both the width and the length

of her garden to triple the size. What is the area of the original garden. What is the area of the new garden.
Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer:

length of new garden: 3x or 3y times 2

width of new garden: 3y or 3x/2

Area: 3x times 3y

Step-by-step explanation:

x= original length of garden

y= original width of garden

if she triples it she needs to multiply the old measurements by 3

The area of  her new garden is the new measurements multiplied by one another

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For his troops' popcorn fundraiser sale, Mike sold caramel corn for $10, buttered microwave popcorn for $8, and lightly buttered
Bad White [126]
\bf \begin{cases}
c=\textit{caramel corn}\\
b=\textit{buttered microwave popcorn}\\
p=\textit{lightly buttered popcorn}
\end{cases}

so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus

c+b+p = 400

now, the "c" sold for $10
the "b" sold for $8
and the "p" sold for $7

so, the amount of revenue on the "c" is 10 * c, or 10c
the revenue on "b" is 8*b or 8b
and the revenue on "p" is 7*p or 7p

whatever those amounts are, they ended up in $3,272
thus
10c + 8b + 7p = 3,272

now, he sold more lightly buttered, or "p", than just buttered corn or "b"
he actually sold twice as much, so whatever "b" is, "p" is twice that much
or 
p = 2b

thus      \bf \begin{cases}
c+b+\boxed{p}=400\\\\
\boxed{p}=2b\qquad thus\\\\
c+b+\boxed{2b}=400\qquad or\\\\
c+3b=400\implies c=\underline{400-3b}\\
--------------\\
10c+8b+7p=3272\qquad or\\\\
10(\underline{400-3b})+8b+7(\boxed{2b})=3272
\end{cases}

solve for "b", to see how many buttered microwave popcorn Mike sold

how many lightly buttered?  well, p = 2b
how many caramel ones?   well  c = 400 - 3b
5 0
3 years ago
Can someone please clearly and correctly work out Q19? Would appreciate it a lot! :)
DiKsa [7]
x^{2} +10x+30
I always start by moving the last term to the other side
x^{2} +10x=-30
To complete the square you take term 'b' , divide it by 2 then square it
( \frac{10}{2} )^2 = 25
We have to add 25 to what we have and what you do to one side you have to do to the other
x^{2} +10x+25=-30+25
x^{2} +10x+25=-5
Now we factor what is on the left side of the equation
(x+5)^2=-5
The last step is to move our right side of the equation back over 
(x+5)^2+5 - which is your answer :)))


6 0
3 years ago
FACTOR. THEOREM is x-3 a factor?!
Oduvanchick [21]

Answer:

Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)

Step-by-step explanation:

Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor.  The coefficients of the polynomial p(x) are {2  -5  -4  0  9}.

Setting up synthetic division:

3   /   2    -5    -4    0    9

                6     3    -3   -9

    -------------------------------

          2     1     -1     -3    0

Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.

3 0
3 years ago
What is the area of this?
Sloan [31]
The area is 13.

I think you were on the right track there. The area of the one on the bottom is 4*1, or 4. The area of the top upright rectangle is 9*1, or 9. 9+4=13.
6 0
3 years ago
FOR MY LAST QUESTION I forgot to add the screenshot so, help please! 25 points
Katen [24]

Answer: c. P=43

d. P=3x^2+5x+8

Step-by-step explanation:

c. P=12x+19 ==> See how I got this formula in my previous answer to parts a and b

P=12(2)+19

P=24+19

P=43

d. P=a+b+c+d

P=x^2 +4x+8+2x^2 +x

P=x^2 +2x^2 +4x+x+8

P=3x^2+5x+8

8 0
2 years ago
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