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Mariana [72]
3 years ago
8

Expand the following (X-4)(X+5)

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0
(x-4)(x+5)
x^2+5x-4x-20
x^2+x-20
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13.5-ounce bottle cost 2.19. A 29.2-ounce bottle costs 5.37 find the unit price for each size
maks197457 [2]

Answer:

A)Unit prize is $0.162

B)Unit prize is $0.183

Step-by-step explanation:

A) 13.5-ounce bottle cost 2.19

Cost of 13.5 ounce bottle =2.19

Cost of 1 ounce bottle =\frac{2.19}{13.5}=0.162

So, Unit prize is $0.162

B)29.2-ounce bottle costs 5.37

Cost of 29.2 ounce bottle = 5.37

Cost of 1 ounce bottle =\frac{5.37}{29.2}=0.183

So, Unit prize is $0.183

6 0
3 years ago
You have a 1200-foot roll of fencing and a large field. you want to make two paddocks by splitting a rectangular enclosure in ha
romanna [79]
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change  w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
8 0
4 years ago
Helppppppppppppooooo
sergey [27]

Answer:

864 ft^2

Step-by-step explanation:

Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B

one side is 20 x 14 = 280

another side is 12x14 = 168

another side is 16x14 = 224

the triangle bases are A=(1/2)bh

(1/2)12 x 16 = 96

2(96) = 192

Add all sides together 192 + 224 + 280 + 168 = 864

3 0
2 years ago
Guys I, need help with this please help it is due today
Ilya [14]
4. .5 per ounce so 3.5 for 7 ounces
5. 7.5 degree every hour so 22.5 for 3 hours
6. 61 miles per hour so 305 for 5 hours
6 0
3 years ago
I am a three digit number<br> I am made up of three different numerals <br> I am divisible by 11
GenaCL600 [577]

Answer:

132

Step by step

11×12 is 132 and 132 is a 3 digit number and made up of three different numerals and is divisible by 11.

7 0
3 years ago
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