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3 years ago

14

Sophie bikes at a speed of s miles per hour. her friend rana is slower, her biking speed is only r miles per hour. Tomorrow both

girls are planning to spend 3 hours biking. how much longer will be the sophies route

1 answer:

rjkz [21]3 years ago

4 0

36 hrs and 21 mins hope that is ok

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(x+1)(2x-4)(1/x+1) = (x+1)(2x-4)(1-5/2x-4)

Sunny_sXe [5.5K]

Solution:

$(x+1)(2x-4)(\frac{1}{x}+1)=(x+1)(2x-4)(1-\frac{5}{2x}-4)\\(x+1)(2x-4)(\frac{1}{x}+1)-(x+1)(2x-4)(1-\frac{5}{2x}-4) = 0\\(x+1)(2x-4)(\frac{1}{x}+1-(1-\frac{5}{2x}-4))=0\\(x+1)(2x-4)(\frac{1}{x}+1-(-3\frac{5}{2x}))=0\\(x+1)(2x-4)(\frac{1}{x}+1+3+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{1}{x}+4+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{5x^{2}+8x+2}{2x} )=0\\$

$x+1=0\\x=-1\\\\2x-4=0\\x=2\\\\\frac{5x^{2}+8x+2}{2x}=0\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}$

Answer:

$x=-1\\x=2\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}$

<em>Hope this was helpful.</em>

8 0

3 years ago

Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don

coldgirl [10]

Answer:

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53

Glazed donuts = 11

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

$P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}$

$P(\text{Powdered sugar donut})=\dfrac{5}{75}$

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$

Therefore, $P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

3 0

3 years ago

Parallel lines e and f are cut by transversal b.

Lunna [17]

Answer:

Its C

Step-by-step explanation:

Just took the test and found out it's not infact 5, but it's 25

8 0

2 years ago

Read 2 more answers

CAN SOMEONE HELP ME WITH THIS????????????????

Lerok [7]

$\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\$

$A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}$

4 0

3 years ago

Michaela is planning a pizza party for 48 people. she has $200 to buy pizza and soda for the party. Each 12-pack of soda can cos

Dominik [7]

The answer to this question would be: D. <span>200>6P(8.00)+4S(5.00)
</span>

Michaela is planning a pizza party for 48 people and she uses 12-pack of soda and <span>8-slice pizza. That means the pack of soda she needs would be:
48 people/ (12soda/pack)= 4 pack

Then, number the pizza she needs:
48 people/ 8 (slice/pizza)= 6 pizza

She has $200 so the price she can afford should be lower than that. The function would be:
the money she has > number of pizza(price of pizza) + number of soda(price of soda)
</span>200>6P(8.00)+4S(5.00)

7 0

3 years ago

Read 2 more answers