patrick read 20 pages of his book in 4 hours . Todd read 25 pages in 5 hours. Did both at the same rate?

Answers

Answer 1

Answer: All you need to do is find the rate that each boy read and compare them.

Patrick
20 pages/4 hours
=5 pages/hour

Todd
25 pages/5 hours
=5 pages/hour

Yes both boys read at the same rate (5 pages/hour)

Answer 2

Answer: Solve:-

Patrick:-
20 pgs = 4 hrs

Todd:-
25 pgs = 5 hrs

Divide:-

Patrick:-

20 ÷ 4 = 5
5 pgs per hr

Todd:-

25 ÷ 5 = 5
5 pgs oer hr

Yes, Both boys read at the same rate, 5 pgs per hr

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0.1 is 1/10 of what number

What is the slope of the line that passes through the points (10, 6) and (9,5)

Answers

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-6)/(9-10)

m=-1/-1

m=1

A cooking club has 10 members. how many ways can they select a president and vice president from among the members?A. 180
B. 20
C. 100
D. 90

Answers

There are 10 possible ways to select a president from the club, because their are 10 available members to choose from.

After a president is chosen, their are 9 possible ways to select a vice president, because one of the members will already have the position of president, so they can't be vice president (10-1=9)

Now we just multiply to possibilities of presidents by the possibilities of vice-presidents.

president*vicepresident=
10*9=90

Answer= D. 90

Factor then solve.
1.81 - 4x²=0
2. 4s² + 9 = 12s

Answers

$1.\n81-4x^2=0\n\n9^2-(2x)^2=0\n\n(9-2x)(9+2x)=0\iff9-2x=0\ \vee\ 9+2x=0\n\n-2x=-9\ \vee\ 2x=-9\n\nx=4.5\ \vee\ x=-4.5$

=============================================================

$2.\n4s^2+9=12s\n\n4s^2-12s+9=0\n\n(2s)^2-2\cdot2s\cdot3+3^2=0\n\n(2s-3)^2=0\n\n(2s-3)(2s-3)=0\iff2s-3=0\n\n2s=3\n\ns=1.5$

$1.)\ \ \ 81 - 4x^2=0\n\n9^2-(2x)^2=0\ \ \ \ \ and\ \ \ \ \ a^2-b^2=(a-b)(a+b)\n\n(9-2x)(9+2x)=0\ \ \ \Leftrightarrow\ \ \ 9-2x=0\ \ \ or\ \ \ 9+2x=0 \n\n9-2x=0\ \ \ \Leftrightarrow\ \ \ -2x=-9\ \ \ \Leftrightarrow\ \ \ x=4.5\n\n9+2x=0 \ \ \ \Leftrightarrow\ \ \ 2x=-9\ \ \ \Leftrightarrow\ \ \ x=-4.5\n\n.......................................................................\n\n$

$2.)\ \ \ 4s^2+ 9 = 12s\n\n4s^2-12s+ 9 =0\n\n(2s)^2-2\cdot2s\cdot3+3^2=0\n\n(2s-3)^2=0\ \ \ \Leftrightarrow\ \ \ 2s-3=0\ \ \ \Leftrightarrow\ \ \ 2s=3\ \ \ \Leftrightarrow\ \ \ s=1.5$

A nonlinear system of inequalities consist of two or more

Answers

b equations can be the correct ans

Final answer:

A nonlinear system of inequalities involves two or more inequalities that are not straight lines when graphed. They can include equations like quadratic or exponential equations. The solution is the set of points that satisfy all inequalities.

Explanation:

A nonlinear system of inequalities in mathematics consists of two or more inequalities that are not straight lines when graphed. These inequalities might include quadratic equations, exponential equations, or any other equations that do not form a straight line. For example, y > x^2 and y < -x are a nonlinear system of inequalities. The points (x, y) that satisfy all the inequalities in the system constitute the solution.

Learn more about nonlinear system of inequalities here:

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12x²+28x - 5 = (6x - 1)(_).
what’s the factored form ?
(6x-1)(__)

Answers

Answer:

(6x-1) (2x+5)

Step-by-step explanation:

12x²+28x - 5

=12x² +30x -2x -5

= 6x(2x+5) -1(2x+5)

=(6x-1) (2x+5)

How do you get 34 from P = 5s - (100 + 2s) when P = 0 is s ≈ 33.333.

Answers

P = 5s - (100 + 2s) Carefully remove the brackets. Watch the signs.
P = 5s - 100 - 2s
P = 3s - 100

0 = 3s - 100 Add 100 to both sides.
100 = 3s Divide by 3
100/3 = s

s = 33.33333 It is just a rounding factor. It depends on what you are really finding. So whatever answers you're given (if any), choose the one closest to 33.33333 which is likely what you got when you did it.

P = 5s - (100 + 2s)
when P = 0

0 = 5s - (100 + 2s)
0 = 5s - 100 - 2s
0 = 3s - 100
100 = 3s
s = 100/3
s = 33.3333....

You can't get 34. Whoever told you that is a liar.

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