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Shtirlitz [24]
3 years ago
6

Jessica school bus stop is 60 yards from her house.For a normal school week, how many feet will Jessica walk to and from the bus

stop?
A 300 feet

B 600 feet

C 900 feet

D 1,800 feet

winner gets 100 points
Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0

Answer:

d

Step-by-step explanation:

school is only 5 days a week and if she walks 60 yards to the bus stop and 60 yards back from the bus stop than she walks a total of 120 yards a day

120 x 5 =600 the answers are in feet so we need to convert to feet and to do that we need to multiply by 3

600x3=1800

so she walks 1800 feet in a normal school week

Slav-nsk [51]3 years ago
4 0

Answer:

Step-by-step explanation:

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54,36,24 whats the next term in the geometric sequence
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3 years ago
Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)
Paladinen [302]

Answer:

\frac{140}{3}, \frac{140}{3}, \frac{140}{3}

Step-by-step explanation:

Let the numbers be x, y\ and\ z.

Such that:

x + y + z = 140

Make z the subject

z = 140 -x - y

For their product to be maximum, we have:

f(x,y,z) = xyz

Substitute z = 140 -x - y in f(x,y,z) = xyz

f(x,y) = xy(140 - x - y)

Open bracket

f(x,y) = 140xy - x^2y - xy^2

Differentiate w.r.t x and y

f_x=140y - 2xy - y^2

f_y=140x - x^2 - 2xy

Since the products are maximum, then f_x = f_y = 0

For f_x=140y - 2xy - y^2

140y - 2xy - y^2 = 0

Factorize:

y(140 - 2x - y) = 0

Split

y = 0\ or\ 140 - 2x - y = 0

Make y the subject

y = 0\ or\ y = 140 - 2x

For f_y=140x - x^2 - 2xy

140x - x^2 - 2xy = 0

---------------------------------------------------

Substitute y = 0

140x - x^2 -2x*0 = 0

140x - x^2 = 0

Factorize

x(140 - x)= 0

x = 0\ or\ 140-x = 0

x = 0\ or\ x = 140

---------------------------------------------------

Substitute y = 140 - 2x

140x - x^2 - 2xy = 0

140x - x^2 - 2x(140 - 2x) = 0

140x - x^2 - 280x + 4x^2 = 0

Re-arrange

4x^2 -x^2 +140x - 280x = 0

3x^2 -140x = 0

Factor x out

x(3x - 140) = 0

Divide through by x

3x - 140 = 0

3x = 140

x = \frac{140}{3}

Recall that: y = 140 - 2x

y = 140 - 2 * \frac{140}{3}

y = 140 - \frac{280}{3}

Take LCM

y = \frac{140*3-280}{3}

y = \frac{140}{3}

Recall that:

z = 140 -x - y

z = 140 - \frac{140}{3} - \frac{140}{3}

Take LCM

z =  \frac{3 * 140- 140 - 140}{3}

z =  \frac{140}{3}

Hence, the numbers are:

\frac{140}{3}, \frac{140}{3}, \frac{140}{3}

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3 years ago
This is very hard for me I need to know how to do it
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The zeros of a function are the values of x that make the function be equal to zero.

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Check to see if these answers work by plugging them into the original equation:

c = -6:

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But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

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