Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres 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.

Which system of equations represents this situation?

Answers

Answer 1

Answer:

I'm sorry but I don't see any equations

Step-by-step explanation:

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Solve for the variable in the following proportion. 5/25=m/125
Help please!!A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

The number of aluminum cans used each year varies directly as the number of people using the cans. If 500 people use 120000 cans in one year, how many cans are used each year in a city which has a population of 130000?

Answers

Answer

31,200,000

Explanation

Firstly, calculate the constant of proportionality.

Al ∝ N

Al = kN Where Al = number of aluminium cans, k = constant and N = number of people using the can.

Al = kN

k = Al/N

= 120000/500

= 240

Equation becomes;

Al = 240N

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The dollar price of a 1,000.00 face value bond is 991.25. this bond is listed at...

Answers

Answer:

The answer is : The bond is listed at 99.125%.

Step-by-step explanation:

Given is - The dollar price of a 1,000.00 face value bond is 991.25.

So, the purchase price is $991.25 and the bonds are worth of $1,000.

Hence, the bond is listed at:

$(991.25)/(1000)*100$ = 99.125%

The bond is listed at 99.125%.

If the price is $991.25 and the value of the bond is $1,000, the bond is listed at:
$(991.25)/(1000)$ = .99125 or 99.125 %

Simplify: 3x[(2x6-5) + (8\4)] -1 ••••••• The \ means divide

Answers

3 × [(2 × 6 - 5) + (8/4)] - 1
= 3 × [(12 - 5) + 2] - 1
= 3 × (7 + 2) - 1
= 3 × 9 - 1
= 27 - 1
= 26

USE PEMDAS:
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction

Write the equation of the line, in slope-intercept form, with thefollowing information:
1
slope:
2
y-intercept: (0, 2)

Please help fast

50 points

Answers

Answer:

The answer to the question provided is y=1/2x+2

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

Answers

we have

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

Find the roots

Equate the function to zero

$x^(2)-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^(2)-2x+1=3+1$

$x^(2)-2x+1=4$

Rewrite as perfect squares

$(x-1)^(2)=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

the answer is

$x=3$

x^2 -2x -3 = 0

(x-3)(x+1)=0

x+1=0
x=-1

x-3=0
x = 3

so the missing number is 3

Find the value of z. Then find the value of the interior angles

Answers

Step-by-step explanation:

$\because \angle JKM$ is the exterior angle of $\triangle KLM$

$\therefore$ by remote interior angle theorem of a triangle, we have:

$m\angle L + m\angle M = m\angle JKL \n\n(18z + 3)\degree + (5z - 3)\degree = 161\degree \n\n(18z + 3+5z - 3)\degree = 161\degree \n\n(23z)\degree = 161\degree \n\n23z = 161\n\nz = (161)/(23) \n\n\huge \red {\boxed {z = 7}} \n\n\because \measuredangle L = (18z +3)\degree \n\n\therefore \measuredangle L = (18* 7+3)\degree \n\n\therefore \measuredangle L = (126+3)\degree \n\n\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \n\n\because \measuredangle M = (5z - 3)\degree \n\n\therefore \measuredangle M= (5* 7-3)\degree \n\n\therefore \measuredangle M = (35-3)\degree \n\n\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \n\n$

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