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Sonbull [250]
3 years ago
13

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to

the park at a constant speed of 15 kilometers per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal. Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Mathematics
2 answers:
Marizza181 [45]3 years ago
5 0

Answer:

b+p=1 and 18b=15p

Ierofanga [76]3 years ago
4 0

Answer

none needed use photo below

Step-by-step explanation:

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Ssimpily the expression
Butoxors [25]

( {6}^{ \frac{1}{4} } ) {}^{4}

{6}^{ \frac{1}{4} \times 4 }

{6}^{1}

6

__________________________________________

D. 6

is the correct answer.

4 0
3 years ago
Which equation when graphed has a maximum value at x = −2? A) y = −x2 − 20x − 16, B) y = −x2 − 16x − 12, C) y = −4x2 − 20x − 16,
KonstantinChe [14]

Answer:

Option D. y=-4x^{2} -16x-12

Step-by-step explanation:

using a graphing tool

Graph and determine the vertex in each case

we know that

If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be  equal to -2 and the parabola open downward

case A) y=-x^{2} -20x-16

The vertex is the point (-10,84)

case B) y=-x^{2} -16x-12

The vertex is the point (-8,52)

case C) y=-4x^{2} -20x-16

The vertex is the point (-2.5,9)

case D) y=-4x^{2} -16x-12

The vertex is the point (-2,4) -------> is the answer

see the attached figure

6 0
3 years ago
If the dimensions of a rectangular prism are 5 ft x 3.5 ft x 2 ſt, what is the surface area?​
Neporo4naja [7]

Answer:

69 ft

Step-by-step explanation:

SA=2(wl+hl+wh)

2(5*3.5+2*3.5+5*2)

2(17.5+7+10)

2(34.5

69

5 0
3 years ago
A<br> 2x + 5<br> 3x - 2<br> B+<br> X = [? ]
WITCHER [35]

Answer:   7

Step-by-step explanation:

They are alternate interior angle

2x + 5 = 3x -2

2x = 3x -7

-x = -7

x = 7

4 0
3 years ago
P (n), given below, is the price P in dollars for n grams of vitamins.P(n)=0.4n+5.7Complete the following statements.
Amanda [17]

(a)

In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.

The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,

The amount of vitamins (in grams) for a price of x dollars.

(b)

Let P(n) = x, So

x=0.4n+5.7

Replace n by x and x by n in the given equation.

n=0.4x+5.7

Simplify the equation for x.

\begin{gathered} n+0.4x+5.7 \\ n-5.7=0.4x \\ x=\frac{n-5.7}{0.4} \\ =\frac{10n-57}{4} \end{gathered}

So inverse of function is after interchange of variables,

P^{-1}(x)=\frac{10x-57}{4}

(c)

Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).

\begin{gathered} P^{-1}(8.3)=\frac{10\cdot8.3-57}{4} \\ =\frac{83-57}{4} \\ =\frac{26}{4} \\ =6.5 \end{gathered}

So answer is 6.5.

7 0
1 year ago
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