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2 years ago

Add and subtract mixed numbers

Mathematics

1 answer:

iris [78.8K]2 years ago

6 0

Answer:

1: 8 2/5

Step-by-step explanation:

4x5=20+3=23

3x5=15+4=19

23+19=42

42/5= 8 2/5

You might be interested in

There are eight boxes. Each box holds one sweater. There are 3 blue, 2 brown, 1 green, and 2 red sweaters. What is the probabili

Reil [10]

3 + 2 + 1 + 2 = 8, which is the amount of sweaters.
The probability of a brown sweater is 2 / 8 = 0.25
And the probability of a green sweater is 1 / 8 = 0.125.

Multiply the two probabilities together to get the probability of choosing brown then green:
0.25 * 0.125 = 0.03125.

To convert a decimal to fraction, you multiply the numerator and denominator, or in this case $\frac{0.03125}{1}$ by 1000 which gets $\frac{31.25}{1000}$

Which can be simplified to:
$\frac{1}{32}$ .

Hope this helps.

8 0

3 years ago

Read 2 more answers

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

2 years ago

Help Asap! 20 points!

dybincka [34]

D = 10 is the diameter so r = d/2 = 10/2 = 5 is the radius

Plug r = 5 and h = 7 into the formula below and simplify
V = pi*r^2*h
V = pi*5^2*7
V = pi*25*7
V = pi*175
V = 175pi

Answer: Choice D

4 0

3 years ago

Someone please help me

Free_Kalibri [48]

D. y = 3x + 2

Check (-4, -10)
-10 = 3(-4) + 2
-10 = -12 + 2
-10 = -10 :)

Check (-3, -7)
-7 = 3(-3) + 2
-7 = -9 + 2
-7 = -7 :)

Check (-2, -4)
-4 = 3(-2) + 2
-4 = -6 + 2
-4 = -4 :)

Check (-1, -1)
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1 :)

Check (0, 2)
2 = 3(0) + 2
2 = 0 + 2
2 = 2 :)

4 0

2 years ago

You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.

Yuri [45]

Answer:

x= -4 & y=-12

Step-by-step explanation:

multiply y=3x by 2

giving you 2y=6x

subtracting 2y=x+20 from 2y =6x

=> 5x=-20

dividing through by 5

=> x=-4

put x=-4 into y=3x

=> y=3(-4)

y=-12

7 0

2 years ago