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kari74 [83]
3 years ago
5

Bill is 6 inches taller than Nancy. Use n for Nancy's height. Write an expression for Bill's height: I​

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

n + 6

(Please mark me brainliest! thank you in advance!!)

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Which of the following gives an example of a set that is closed under addition.
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I believe the answer is D
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3 years ago
You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s
fredd [130]

Answer:

Time spent rowing down stream =100\ seconds

Speed of boat in still water =14\ ms^{-1}

Step-by-step explanation:

Let speed of boat in still water be = x\ ms^{-1}

Speed of current = 10\ ms^{-1}

Speed of boat down stream = \textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}

Distance rowed down stream = 2400 m

Time spent rowing down stream = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s

Speed of boat up stream = \textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}

Distance rowed up stream = \frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m

Time spent rowing up stream = \frac{Distance}{Speed}=\frac{400}{x-10}\ s

We know that,

\textrm{Time spent rowing down stream =Time spent rowing up stream}

So,

\frac{2400}{x+10}=\frac{400}{x-10}

Cross multiplying

2400(x-10)=400(x+10)

Dividing both sides by 400

\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}

6(x-10)=x+10

6x-60=x+10

Adding 60 to both sides.

6x-60+60=x+10+60

6x=x+70

Subtracting both sides by x

6x-x=x+70-x

5x=70

Dividing both sides by 5.

\frac{5x}{5}=\frac{70}{5}

∴ x=14

Speed of boat in still water =14\ ms^-1

Time spent rowing down stream =\frac{2400}{14+10}=\frac{2400}{24}=100\ s

3 0
3 years ago
PLEASE HELP!!!! Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for
Marizza181 [45]

Answer:

y = 8.75x + 25

Step-by-step explanation:

8 0
3 years ago
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Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at
Vesnalui [34]
F(x)=x^2/(x-2)(x-1), the degree of the numerator and the degree of the denominator equal and the quotient of their coefficient equal to 1(horizontal asymptote means that the lines approach a certain number when the input approaches positive or negative infinity)
and when plugging in 2 or 1 as input, the output is undefined.
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Function p(x), shown below, is translated 10 units up to create function q(x).
natulia [17]

Answer: q(x) = 0.005(x - 40)² + 70

<u>Step-by-step explanation:</u>

f(x) = a(x - h)² + k   <em>where a is the vertical stretch and (h, k) is the vertex.</em>

Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>

       = 0.005(x - 40)² + 70

3 0
3 years ago
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