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Solnce55 [7]
3 years ago
5

Mateo has 72 pounds of apples. He needs 34 pounds of apples for each batch of applesauce. How many batches of applesauce can Mat

eo make? Enter your answer in the box below. Use paper to draw a model to support your answer. ​ ​ ​ batches ​
Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

  2 batches

Step-by-step explanation:

(72 lb)/(34 lb/bat) = 2 2/17 bat

___

72 ÷ 34 = 2 remainder 4.

Mateo can make 2 full batches, and will have 4 pounds of apples remaining.

The fraction 4/34 can be reduced to 2/17. That is the fraction of a batch that Mateo could make with the extra 4 lbs. of apples.

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The diagram shows a solid formed by joining a hemisphere, of radius rcm, to a cylinder, of radius rcm and height hcm. The total
posledela

Answer:

Step-by-step explanation:

The total surface area of the sphere = 2πr²

Total surface area of the cylinder = 2πr²+2πrh

Total surface area of the solid = 4πr²+2πrh

r is the radius of the sphere and the cylinder

h is the height of the cylinder

Total surface area of the solid = 2πr(r+h)

If the total height of the solid is 18 cm, then r+h = 18cm

Given the Total surface area of the solid = 205π cm

205π = 2πr(r+h)

205π = 2πr(18)

205π = 36πr

205 = 36r

Divide both sides by 36

205/36 = 36r/36

r = 5.69cm

Since  r+h = 18cm

5.69+h = 18

h = 18-5.69

h = 12.31cm

6 0
3 years ago
A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in: 2 1/6 h
Sunny_sXe [5.5K]
I'm not all that familiar with that sort of representation, but I guess 3 3/4 = 15/4 and 2 1/6 = 13/6.

You will simply have to multiply the time spent walking, 13/6 hours, by the average distance traveled on an hourly basis, 15/4 km/h.

(13*15)/(4*6) = 195/24 = 8,125 km
7 0
3 years ago
This is due today i would appreciate it a lot if smn could help me with it :/
Vesnalui [34]

Answer:

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

  • Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

  • Hence, function 2 has a greater initial value.

Step-by-step explanation:

Function 1)

Determining rate of change for function 1:

x        1         2         3         4

y       5        8          11        14

Finding the rate of change or slope using the formula

Rate of change = m = [y₂-y₁] / [x₂-x₁]

Taking any two points, let say (1, 5) and (2, 8)

Rate of change = m = [8-5] / [2-1]

                                 = 3/1

                                  = 3

Therefor, the rate of change of function 1 = m = 3

using point-slope form to determine the function equation

y-y₁ = m (x-x₁)

where m is the rate of change or slope

substititng m = 3 and the point (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x-3

y = 3x-3+5

y = 3x + 2

Thus, equation of function 1 will be:

y = 3x + 2

Determining Initial Value for Function 1:

substituting x = 0 in the equation to determine the initial value

y = 3(0)+2

y = 0+2

y = 2

Therefore, the initial Value of function 1 will be: y = 2

Function 2)

Determining the rate of change for function 2:

Given the function 2

y\:=\:\frac{5}{3}x+3

comparing with the slope-intercept form of a linear function

y = mx+b     where m is the rate of change

so the rate of change of function 2 = m = 5/3

Determining Initial Value for Function 2:

substituting x = 0 in the equation to determine the initial value

y\:=\:\frac{5}{3}x+3

y\:=\:\frac{5}{3}\left(0\right)+3

y = 0+3

y = 3

Therefore, the initial Value of function 2 will be: y = 3

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

  • Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

  • Hence, function 2 has a greater initial value.

8 0
2 years ago
Estimate : 1) 48% of 8 2) 3% of 119 3) 26% of 32 4) 76% of 280
zaharov [31]
1) 48% of 8=3.84 
2) 3% of 119=3.57
3) 26% of 32=8.32
4) <span>76% of 280=212.8

Hope this helps ya!</span>
7 0
3 years ago
5a^5+60a^5-45a^4/15a^4
Artemon [7]
So basically, for this you would be combining like-terms and simplifying. This will give you -3a^8+65a^5
4 0
3 years ago
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