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Aleonysh [2.5K]

3 years ago

9

On Monday Headley paid $1.70 for two of coffee and one doughnut, including the tip. On Tuesday he paid $1.65 for two doughnuts a

nd a cup of coffee, including the tip. If he always tips the same amount, then what is the amount of each item?

1 answer:

stich3 [128]3 years ago

3 0

Answer:

i dont wanna say

Step-by-step explanation:

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Solve for x:1/2(x-2)+1/3(x-3)+1/4(x-4)

Archy [21]

Answer:

$\frac{1}{12} \times (13x - 36)$

4 0

2 years ago

Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the

Mice21 [21]

Answer:

Option A. $30\ pounds$

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

$r=5\ in=5/12\ ft$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(5/12)^{3}$

$V=0.3029\ ft^{3}$

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

$0.3029*100=30.29\ pounds$

Round to the nearest pound

$30.29=30\ pounds$

6 0

3 years ago

List the domain and range of the relation.<br> {(5,-5), (7,7), (0,-5), (7,1) (5,5)}

artcher [175]

Answer:

domain = (0,5,7)

range = (-5,1,5,7)

Step-by-step explanation:

domains are the x in (x,y) , and ranges are y in the (x,y) relations.

4 0

3 years ago

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2^x. She makes these

GalinKa [24]

<u>General Idea:</u>

Domain is the values of x which gives a defined output to the function, and Range is the values of y that we get by substituting domain values of x. For the function f(x) = a^x, where a > 0, the domain will be all real numbers and range will be all values greater than 0. That is the graph will be very close to x-axis but will never touch it.

<u>Applying the concept:</u>

From the attached table, we can notice that as x increases infinitely, the y-values are continually doubled for each single increase in x and as x decreases infinitely, the y-values are continually halved for each single decrease in x.

Option 1: "Statement 1 is incorrect because the y-values are increased by 2, not doubled".

Option 1 is INCORRECT because Statement 1 is TRUE & CORRECT.

Option 2: "Statement 2 is incorrect because the y-values are doubled, not halved".

Option 2 is INCORRECT because Statement 2 is TRUE & CORRECT.

Option 3: "The conclusion is incorrect because the range is limited to the set of the integers"

Option 3 is INCORRECT because, the range will be always greater than 0, because irrespective of how many times y is halved for each single decrease in x, the y will still be a positive fraction and won't be a negative.

Option 4: "The conclusion is incorrect because the range is limited to the set of positive real numbers"

<em><u>Option 4 is CORRECT because y value will be positive irrespective of whatever x we substitute in the function.</u></em>

8 0

3 years ago

Read 2 more answers

a car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year.using x for years and y for the v

Vika [28.1K]

Answer:

$y = 34000(1-0.06) ^ t$

After 7.40 years it will be worth less than 21500

Step-by-step explanation:

This problem is solved using a compound interest function.

This function has the following formula:

$y = P(1-n) ^ t$

Where:

P is the initial price = $ 34,000

n is the depreciation rate = 0.06

t is the elapsed time

The equation that models this situation is:

$y = 34000(1-0.06) ^ t$

Now we want to know after how many years the car is worth less than $ 21500.

Then we do y = $ 21,500. and we clear t.

$21500 = 34000(1-0.06) ^ t\\\\log(21500/34000) = tlog(1-0.06)\\\\t = \frac{log(21500/34000)}{log(1-0.06)}\\\\t = 7.40\ years.$

After 7.40 years it will be worth less than 21500

3 0

3 years ago