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3 years ago

2 2/7 divided 2 1/2=

Mathematics

1 answer:

Zina [86]3 years ago

5 0

Answer: $\frac{32}{35}$

Step-by-step explanation:

We need to convert the mixed numbers into fractions.

The new numerator will be the sum of the numerator of the fractional part and the product obtained by multiplying the denominator of the fractional part by the whole number part.

The new denominator will the the same denominator of the fractional part.

Then:

$2\ \frac{2}{7}=\frac{2+(2*7)}{7}=\frac{16}{7}$

$2\ \frac{1}{2}=\frac{1+(2*2)}{2}=\frac{5}{2}$

Dividing the fractions, we get:

$\frac{\frac{16}{7}}{\frac{5}{2}}=\frac{16*2}{7*5}=\frac{32}{35}$

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Answer: ( B ) 10
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3 years ago

2x^2+3x-2, a=0 How do I find the derivative?

Ghella [55]

You can use the definition:

$\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h$

Then if

$f(x) = 2x^2+3x-2$

we have

$f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2$

Then the derivative is

$\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}$

I'm guessing the second part of the question asks you to find the tangent line to f(x) at the point a = 0. The slope of the tangent line to this point is

$f'(0) = 4(0) + 3 = 3$

and when a = 0, we have f(a) = f (0) = -2, so the graph of f(x) passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

y - (-2) = 3 (x - 0)

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5 0

3 years ago

Graph the line using a point and a slope. Write the equation of each line. f a line that passes through the point (–1, –4) and w

Nata [24]

Dos rectas cuyas pendientes son m1 y m2, son perpendiculares si y sólo si m1m2 =-1

with a point and the slope you can find the equation

y-y1=m(x-x1)

as the point is given (-1,-4) then substitute it in the equation

y-(-4)= -2[(x-(-1)]⇒y+4= -2x-2⇒y=-2x-2-4⇒y=-2x-6 and this is the equation of the line that must be graphed

second step)

graph the equation y =- 2x-6, with the points of intersection are for x = 0, y = -2(0)-6= -6 , the point is ( 0,-6) and the other point is for y = 0

0= -2x-6, 2x= -6, x = -6/ 2 = -3, the other point is (-3,0) then the graph is the following, you can see in it the points of intersection

8 0

4 years ago

There is a bag with only red marbles and blue marbles.

Anuta_ua [19.1K]

Step-by-step explanation:

Multiply 56 by 7/8 to determine the amount of red marbles.

*56 can be put over 1.

Multiply;

$\frac{56}{1} \times \frac{7}{8} = \frac{392}{8}$

Simplify by dividing by 8;

$\frac{392 \div 8}{8 \div 8} = \frac{49}{1}$

There are 49 red marbles.

4 0

3 years ago

1. Jennifer can mow the lawn in 20 min. Kristen can mow the lawn in 30 min. If they work together, how long will it take them to

vladimir1956 [14]

Answer:

Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.

So he does 1/20 of the job per minute.

Rob can do the job in 30 min. His rate is 1/30 of the job per minute.

Working together how does it take?

1/20*x + 1/30*x = 1 job done

, where x = minutes.

Step-by-step explanation:

7 0

2 years ago