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3 years ago

A gear with an 80 centimeter radius is connected to another gear with a 26

Mathematics

1 answer:

solmaris [256]3 years ago

3 0

Step-by-step explanation:

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Carlos is making cookies six batches of cookies each require 1/4 cup of sugar and 3/4 cup of butter how much sugar will be neede

ser-zykov [4K]

Answer:

for six batches carlos will need 1 1/2 cups of sugar and 4 1/2 cups of butter

Step-by-step explanation:

3 0

4 years ago

ryan and daniel are both packing boxes at a factory. ryan can pack three boxes every hour. the number of boxes daniel can pack i

GenaCL600 [577]

Answer:

Daniel: y = 4x

Ryan: 3 boxes per hour

y = total number of boxes

h = hours

Ryan is able to pack 3 boxes in one hour. In multiple hours, the problem will be represented by the equation y = 3h.

So,

Ryan: y = 3h

Daniel: y = 4h

Based on our answers, we can conclude that when h increases, y also increases. Daniel's rate of packing boxes is higher than Ryan's, and therefore he has a greater rate of change, which means Daniel packs boxes faster in the same amount of time than Ryan.

Hope this helped :)

6 0

2 years ago

A sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour

Zepler [3.9K]

Answer:

8.2

Hope this helped you

7 0

3 years ago

Indicate in standard form the equation of the line through the given points.<br> P(0, -4), Q(5.1)

Elan Coil [88]

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf P(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad Q(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}}\implies \cfrac{1+4}{5}\implies \cfrac{5}{5}\implies 1$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{1}(x-\stackrel{x_1}{0})\implies y+4=x \\\\\\ y=x-4\implies -x+y=-4\implies x-y=4$

4 0

3 years ago

In the following shape, two semicircles

Andrei [34K]

Answer:

The length around the figure in terms of r is 2r ( $\pi$ + 4).

Step-by-step explanation:

The perimeter of an object is the total length of the boundary of the object.

The figure consists two similar semicircle and a rectangle.

Adding the two semicircles, a complete circle is formed. The circumference of a circle = 2 $\pi$ r.

The rectangle has a length which is twice its height.

i.e l = 2h

But,

r = $\frac{h}{2}$ (the diameters of the semicircles equal the height of the rectangle)

⇒ h = 2r

Thus, one side length of rectangle = 2 × 2r (l = 2 × h)

= 4r

The length around the figure in terms of r is:

= 2 $\pi$ r + 4r + 4r

= 2 $\pi$ r + 8r

= 2r ( $\pi$ + 4)

The length around the figure in terms of r is 2r ( $\pi$ + 4).

8 0

4 years ago