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padilas [110]
3 years ago
8

Dan recently bought a new mountain bike for $550. His friend works

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0
$990
550 x .80 = 440
$550 + $440 = $990
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At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon
Alexxx [7]

Answer:

p=0.60w

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

p=kw

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

k=\frac{4.38}{7.3}=\$0.60\ per\ pound

substitute in the equation

p=0.60w

7 0
3 years ago
A line has a slope of 3/5. a line parallel to that line would have a slope of
nekit [7.7K]
-3/5 they have opposite slopes so they would never touch but are parallel.
4 0
3 years ago
Exponential growth/decay problem 1
RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) f(x)=500(1.06)^x

e) $595.51

Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

where:

  • a = initial amount
  • r = rate of growth (in decimal form)
  • x = time (in years)

Given:

  • a = 500
  • r = 0.06

\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

5 0
2 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 100%
Oduvanchick [21]

Answer:

you will 180 pints of the 100% juice and 540 pints of the 40% juice

Step-by-step explanation:

in order to get a 55% mixture you must combine 1 100% and 3 40%

100 + 120 = 220 then divide by 4 and you get 55% juice

now you must use 180 100% juice and 540 40 % juice to make 180 pints

you need this because the ratio is 3 40% to every 1 100%

5 0
3 years ago
Simplify (39x+54y)+(46x-28y)
Dmitry [639]
Hope this helps you out....       85x + 26y <span> 
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4 0
3 years ago
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