A recipe calls for 6 liters of orange juice, 3 liters of grape juice, and 1.5 liters of ice water. How much grape juice and water will be used with 2 liters of orange juice.

Answers

Answer 1

Answer: you would use 1 liter of grape juice and 1/2 of a liter of water

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1Tyler buys packs of Pokemon cards. His spending can be represented by the equation C = 0.5p, where C is the cost of his purchase and p is the number of packs he buys.

Create a graph that represents Tyler's spending.

Answers

Tyler's spending on cards is represented by the equation C = 0.5p, where C is the cost of his purchase and p is the number of packs he buys. This relationship forms a linear graph where the cost (C) increases by $0.5 for each additional pack (p).

Tyler's spending on cards

Tyler's spending on cards is determined by the equation C = 0.5p, where C represents the cost of his purchase and p signifies the number of packs he buys. This equation forms a linear relationship between C and p, indicating that for each additional pack Tyler acquires, his spending increases by $0.5.

The graph illustrating this relationship is a straight line that starts from the origin (0,0) and rises steadily with a slope of 0.5. As Tyler purchases more packs, his total spending will continue to increase in a proportional and predictable manner, making it easy to estimate his costs based on the number of packs he desires.

Learn more on linear equation here brainly.com/question/2030026

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Sue’s couch is 200 centimeters long. It is 16 centimeters less than 3 times the length of the matching chair. How long is the matching chair.

Answers

Answer:

The length of the matching chair is $72\ cm$

Step-by-step explanation:

Let

x -----> the length of the matching chair

we know that

The linear equation that represent this situation is

$200=3x-16$

solve for x

Adds 16 both sides

$200+16=3x-16+16$

$216=3x$

Divide by 3 both sides

$216/3=x$

Rewrite

$x=72\ cm$

Don saves $1 the first week, 2$ the second week, $3 the third week, and $4 the fourth week. If he continues in this way, how many weeks will it take before Don has saved at least $50?Please show me the simplest and quickest way to solve this problem. EXPLAIN YOUR STEPS THOROUGHLY!!

Answers

This forms an arithmetic sequence, where the first term = 1, common difference = 1, and number of terms = n.

The formula for the sum of an arithmetic sequence is

$S_(n) = (1)/(2)n(2a + (n - 1)d)$

Where a = the first term and d = the common difference.

We want the sum to be at least $50, so
$50 \leq (1)/(2)n(2a + (n - 1)d)$

Substituting in a and d
$50 \leq (1)/(2)n(2(1) + (n - 1)(1))$

Rearranging
$50 \leq (1)/(2)n(2 + (n - 1))$
$50 \leq (1)/(2)n(1 + n)$
$100 \leq n(1 + n)$
$100 \leq n^2 + n$
$0 \leq n^2 + n - 100$

$\text{Let } n^2 + n -100 = 0$
$n = (-1 \pm √(1-4(1)(-100)))/(2)$
$n = (-1 \pm √(401))/(2)$
$n \geq 0 \implies n = (-1 + √(401))/(2)$
$n \approx 9.51$

So it will take 9.51 weeks, or 10 weeks to the nearest week.

Write a piecewise function that models each telephone billing plan. Then graph the function.$60 per month buys 450 minutes. Additional time costs $0.35 per minute.

Answers

if 0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

the calculation is as follows:

Here x will represent the number of minutes.

so if 0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

Find out more information about the graph here: brainly.com/question/14375099?referrer=searchResults

Answer: if 0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if 0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if 0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where a, is the footlength in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a
foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.
0 6, 7,514 0 35(n-1)
O a. - 9-0 35(n-1)
O a-9-286(n-1)
O a, - 10 31-2 86(n-1)