Midpoint of (-2,-4) and (2,1)

A recipe that serves 8 people requires 1 and one fourth cups of sugar. Using this recipe, how many cups of sugar are needed to

docker41 [41]

Answer:

3 1/8 or 3.125.

Step-by-step explanation:

First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!

4 0

3 years ago

Charles owes $2,500 on a credit card. The card charges 12% interest compounded continuously. Write a formula that describes how

ella [17]

Answer:

see below

Step-by-step explanation:

The formula for the amount resulting from P earning interest at rate r continuously compounded is ...

A = Pe^(rt)

for P=2500 and r=0.12, this becomes ...

A = 2500e^(0.12t)

4 0

3 years ago

What is the value of y in the equation 2 + y = −3?

Ket [755]

I’ve done these questions before and i’ve gotten confused because I have trouble with nagative numbers but i’ve gotten better st it. It’s -5

8 0

4 years ago

Read 2 more answers

How do you solve 5 3/7 ÷ 5/11

Artyom0805 [142]

Answer:

11 33/35

Step-by-step explanation:

5 3/7 = 5 × 7/7 + 3/7 = 35 + 37 = 38/7

38/7 ÷ 5/11 = 38/7 × 11/5 = 38 × 11/7 × 5 = 418/35

418/35 = 11 33/35

Hope this helps!

6 0

4 years ago

Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us

Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

$P(x) = 5000000- 20000x - 200000x + 2000x^2$

$P(x) = 5000000-220000x + 2000x^2$

<u>Material 2</u>

$P(x) = 4000000 - 10000x - 160000x+ 1000x^2$

$P(x) = 4000000-170000x+ 1000x^2$

<u>Material 3</u>

$P(x) = 2000000 - 5000x - 54000x - 270x^2$

$P(x) = 2000000 -59000x - 270x^2$

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(151) = 4000000-170000 * 151+ 1000* 151^2$

$P(151) = 1131000$

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(49) = 5000000-220000 * 49 + 2000* 49^2$

$P(49) =-978000$

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using $P(x) = 2000000 -59000x - 270x^2$

So, we have:

$P(45) = 2000000 -59000 * 45 - 270 * 45^2$

$P(45) = -1201750$

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(30) = 4000000-170000*30+ 1000*30^2$

$P(30) = -200000$

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(40) = 5000000-220000*40 + 2000*40^2$

$P(40) = -600000$

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

6 0

2 years ago