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Zanzabum
3 years ago
12

A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0
w-width\\l-length\\\\2w+2l=50\to w+l=25\\w=\frac{2}{3}l\\\\substitute:\\\\\frac{2}{3}l+l=25\\\\\frac{5}{3}l=25\ \ \ \ /\cdot\frac{3}{5}\\\\l=15\ (m)\\\\w=\frac{2}{3}\cdot15=10\ (m)\\\\Area:A_{\fbox{ }}=wl\to A_{\fbox{ }}=10\cdot15=150\ (m^2)
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What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
marta [7]
<span>-18, -13, -8, -3,…
-18 + 5 = -13
-13 + 5 = -8
-8 + 5 = -3
-3 + 5 = 2
2 + 5 = 7
7 + 5 = 12

Therefore, the next three terms are 2, 7, 12
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3 0
3 years ago
Find the inverse of Function F. <br> F(x)=9x+7
matrenka [14]

Answer:

x - 7/9 = f(x)^-1

Step-by-step explanation:

f(x) = 9x + 7

y - 7 = 9x

y - 7/9 = 9x/9

Interchange!

x - 7/9 = y

7 0
3 years ago
Grapes are 2.55 per pound and on two separate occasions Dana went to the store to
fomenos

Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

8 0
2 years ago
Four members from a 45​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and
wariber [46]

Answer:

3575880

Step-by-step explanation:

We need to use Permutation method,

nPr= \frac{n!}{(n-r)!}

Where n is the sample of size and r the combination considered, so

n=45\\r=4\\45P4= \frac{45!}{(45-4)!}\\45P4 = 3575880

There is 3575880 possibilities to make leadership structures in that committee

6 0
3 years ago
Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon
oksano4ka [1.4K]

Answer:

P=$254

Step-by-step explanation:

let Hot N' Spicy be x

and Mild Mannered be y

  the objective function is

38x+35y=P

the constraints are

1. tomato sauce

2x+3y=18--------1

2. hot peppers

2x+y=10--------2

solving 1 and 2 we have

using substitution method

2x+y=10--------2

y=10-2x

put y=10-2x in eqn 1

2x+3(10-2x)=18

2x+30-6x=18

2x-6x=18-30

-4x=-12

x=12/4

x=3

put x=3 in eqn 2 we have

2(3)+y=10

6+y=10

y=10-6

y=4

He should make 3 gallons of Hot N' Spicy

and 4 gallons Mild Mannered

38(3)+35(4)=P

114+140=P

254=P

P=$254

5 0
3 years ago
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