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Evgesh-ka [11]
3 years ago
12

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in

a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots?
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer:

t = 40 minutes for p = 10 pots

Step-by-step explanation:

given  p  pots in a batch.

Let t = time it takes to finish a pot

t = 3*p +  10

so  if p = 10 pots,  

t = 3*10 + 10 = 30 + 10 = 40 minutes

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Find thhe remainder when 7^203 is divided by 4
Aleksandr [31]
Using the square-and-multiply approach, we have

7^{203}=7\times(7^{101})^2
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7^{12}=(7^6)^2
7^6=(7^3)^2
7^3=7\times7^2

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7\equiv3\mod4
7^2\equiv9\equiv1\mod4
7^3\equiv7\times1\equiv7\equiv3\mod4
7^6\equiv9\equiv1\mod4
7^{12}\equiv1\mod4
7^{25}\equiv7\times1\equiv7\equiv3\mod4
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7^{101}\equiv7\times1\equiv7\equiv3\mod4
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4 0
3 years ago
What is the solution of the following equation? 2x-5+3x=35
harina [27]

<em>2x - 5 + 3x = 35 </em>

<em>simplify </em>

<em>5x - 5 = 35 </em>

<em>add 5 to both sides </em>

<em>5x - 5 + 5 = 35 + 5 </em>

<em>simplify </em>

<em>5x = 40 </em>

<em>divide both sides by 5 </em>

<em>5x/5 = 40/5 </em>

<em>simplify </em>

<em>x = 8 </em>

<em> </em>

<em />

5 0
3 years ago
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Please help with this
slava [35]

Answer:

D) x=\frac{-2+-2\sqrt{7} }{3}

Step-by-step explanation:

The quadratic formula is : \frac{-b+-\sqrt{b^2-4ac} }{2a}

A in terms of this question=9

B in terms of the question is 12

C in terms of the question is -24.

This question is an example of a quadratic equation. To work this out you may first need a calculator. The first step is to substitute the values of a,b and c into the formula.  So once substituted the formula of \frac{-b+-\sqrt{b^2-4ac} }{2a} becomes \frac{(-12)+-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}. Although when written in a calculator there will not be a plus and minus button and so you would have to do this separately.

However when substituting the values it would be best practice to put them in brackets.

1) Substitute the values into the equation for +.

\frac{(-12)+\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /1.097167541

2) Substitute the values into the equation for -.

\frac{(-12)-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /-2.430500874

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MariettaO [177]

Answer:

Step-by-step explanation:

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Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all
jeka94

ANSWER

y-1= \frac{1}{3} (x- 6)

EXPLANATION

We want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.

The slope of this line is negative reciprocal of -3.

m =  -  \frac{1}{ - 3}  =  \frac{1}{3}

The point-slope form is given by:

y-y_1=m(x-x_1)

We substitute the point and the slope to get;

y-1= \frac{1}{3} (x- 6)

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3 years ago
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