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3 years ago

7

Niki donated 4 5/8 pounds of beans to the food drive and Annie donated 3 2/3 pounds of beans to the food drive. Together, how mu

ch food did they donate?
Will mark bainliest.

2 answers:

Nina [5.8K]3 years ago

7 0

Answer:

8 7/24

Step-by-step explanation: 4 5/8 = 37/8

3 2/3 = 11/3

Make those improper fractions "Like fractions"

Like fraction equation: 111/24 + 88/24 =

199/24 = 8 7/24

meriva3 years ago

5 0

Answer:

8 7/24

Step-by-step explanation:

These are mixed fractions first you need to convert them

4 5/8= 37/8

3 2/3= 11/3

Take LCM of 3 and 8 which 24.

Multiply 37/8 with 3= 111/24

Multiply 11/3 with 8= 88/24

Now add both fractions

111/24 +88/24 =199/24

This is an improper fraction. Divide 199 by 24 to change this into mixed fraction

8 7/24

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cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago