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svet-max [94.6K]
4 years ago
15

BRAINLIESTTT ASAP!!! PLEASE HELP ME :)

Mathematics
1 answer:
sammy [17]4 years ago
7 0

y=5x-11

HOPE THIS WILL HELP U

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dale has a square garden. He adds a 2-foot-wide walkway around his garden. If the total area of the walkway and garden is 196 sq
dem82 [27]
Let the side of the garden alone (without walkway) be x.  
Then the area of the garden alone is x^2.  
The walkway is made up as follows:

1) four rectangles of width 2 feet and length x, and 
 2) four squares, each of area 2^2 square feet.


The total walkway area is thus x^2 + 4(2^2) + 4(x*2).  

We want to find the dimensions of the garden.  To do this, we need to find the value of x.

Let's sum up the garden dimensions and the walkway dimensions:

x^2 + 4(2^2) + 4(x*2) = 196 sq ft

x^2 + 16 + 8x = 196 sq ft

x^2 + 8x - 180 = 0

(x-10(x+18) = 0

x=10 or x=-18.  We must discard x=-18, since the side length can't be negative.  We are left with x = 10 feet.

The garden dimensions are (10 feet)^2, or 100 square feet.


4 0
3 years ago
a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long
QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

A=P(1+\frac{r}{n})^{nt}

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

14800=9000(1+\frac{0.05}{2})^{2t}

\frac{14800}{9000}=(1+0.025)^{2t}

1.644=(1.025)^{2t}

Taking log both sides.

\log(1.644)=\log(1.025)^{2t}

\log(1.644)=2t\log(1.025)    [\because \log a^b=b\log a]

\frac{\log(1.644)}{2\log(1.025)}=t

t=10.066

t=10.1

Therefore, the required time is 10.1 years.

3 0
3 years ago
PLEASE HELP FAST!!!!<br><br> Fill in the blanks <br><br> Solve using the elimination method
Rainbow [258]

Answer: Look below

Step-by-step explanation:

1(10x-6y)=-16

3(5x+2y)=66

10x-6y=-16

15x+6y=66

-25x=50

x=-2

6 0
3 years ago
What does it mean when a greater than sign is underlined?
arsen [322]
When a sign has the underline, it means it is also equal to. 
for example,
x \geq 10
so the solution for "x" is greater than or equal to 10

hope this helps!
3 0
3 years ago
8%commission on 3575
DiKsa [7]

Answer:

286

Step-by-step explanation:

Divide 8% by 100 to find the decimal or simply move to decimal 2 spaces to the left to get 0.08. Multiply this by 3575 to get the answer, 286.

Hope this helps

6 0
3 years ago
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