Ask question

Ask question

All categories

3 years ago

12

Tom finished 1/3 of the 30 problems assigned in class. Steven did 3/10 of the problems. Juan finished 20% of the problems. Marcu

s completed 8 out of 30 problems. Who completed the most problems?

2 answers:

RoseWind [281]3 years ago

6 0

Answer: Tom

Step-by-step explanation:

Tom did 1/3 of 30= 10 out of 30

Steven did 3/10 of 30= 9 out of 30

Juan did 20/100 of 30= 6 out of 30

Marcus did 8 out of 30

bazaltina [42]3 years ago

5 0

Tom finished most of the problems.

Step-by-step explanation:

total number of problems = 30

Tom finished 1/3 of the problems

i.e, he finished = 1/3 X 30 problems

= 10 problems

Steven solved 3/10 of the problems

= 3/10 X 30

=9 problems

Juan finished 20% of the problem.

= 20% of 30

= 20/100 X 30

=6

Marcus completed 8 problems.

so, Tom finished most of the problems i.e, 10 problems.

You might be interested in

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago

Which one should I choose

bulgar [2K]

Answer:

I believe the answer is 12x 5

5 0

3 years ago

Read 2 more answers

Which ordered pair is a solution of the equation?<br> -4r +7= 2y - 3

Mars2501 [29]

Answer:

y=-8, r= 2. this is your answer

6 0

3 years ago

I need help right now this is urgent

Nat2105 [25]

The answer should be 188

7 0

3 years ago

2.) Una pizza cuesta $12. Alfred compró 4_2/3 pizzas. ¿Cuanto gastara le sobra de $60? a.) $56 b.) $14 c.) $4

zhenek [66]

Answer:

$56 or $4 left over from $60

$ 56 o $ 4 sobrantes de $ 60

Step-by-step explanation:

4 2/3 pizzas would cost $56

4 2/3 pizzas costarían $ 56

5 0

3 years ago