For Elizabeth's lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?

Answer:

21 years

Step-by-step explanation:

Given

[tex]Initial\ Height = 4\frac{1}{2}[/tex]

[tex]Final\ Height = 40[/tex]

[tex]Difference = 1\frac{3}{4}[/tex]

Required

Determine the years it'll take to grow to the final height

This question depicts arithmetic progression and will be solved using

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]T_n = 40[/tex]

[tex]a = 4\frac{1}{2}[/tex]

[tex]d = 1\frac{3}{4}[/tex]

Substitute these values in the given formula;

[tex]40 = 4\frac{1}{2} + (n - 1)1\frac{3}{4}[/tex]

Convert all fractions to decimal

[tex]40 = 4.5 + (n - 1) * 1.75[/tex]

Open Brackets

[tex]40 = 4.5 + 1.75n - 1.75[/tex]

Collect Like Terms

[tex]1.75n = 40 - 4.5 + 1.75[/tex]

[tex]1.75n = 37.25[/tex]

Divide both sides by 1.75

[tex]n = \frac{37.25}{1.75}[/tex]

[tex]n = 21.2857142857[/tex]

[tex]n = 21[/tex] (Approximated)

The number of years it will take for the tree to have a height greater than 40 feet is 23 years

Given:

Height of the tree = 4 1/2 feet

Growth rate per year = 1 3/4 feet

Expected growth rate = 40 feet

Expected Number of years = y

The inequality:

4 1/2 + 1 3/4y > 40

Subtract 4 1/2 from both sides

1 3/4y > 40 - 4 1/2

7/4y > 40 - 9/2

7/4y > (80-9)/ 2

7/4y > 79/2

divide both sides by 7/4

y > 79/2 ÷ 7/4

y > 79/2 × 4/7

y > (79×4) ) (2×7)

y > (316) / 14

y > 22.57142857142857

Approximately,

y > 23 years

Therefore, number of years it will take for the tree to have a height greater than 40 feet is 23 years

Read more:

https://brainly.com/question/3153507

Answer:

$80.12

Step-by-step explanation:

Step 1:

$160.65 × 0.5

Answer:

$80.12

Hope This Helps :)

Answer:

160.65*0.05-8.0325

160.65-8.0325=152.6175 so $152.62

Step-by-step explanation:

Answer:

probability of getting exactly 500 heads= 1

Step-by-step explanation:

If a coin is tossed, the probability of obtaining a head = 0.5

If a coin is tossed, the probability of obtaining a tail= 1- probability of obtaining a head

If a coin is tossed, the probability of obtaining a tail=1-0.5

If a coin is tossed, the probability of obtaining a tail=0.5

So if 1000 coin are tossed, the probability of getting exay 500 heads which is already the half of 1000 is 1

Answer:

6

Step-by-step explanation:

So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:

[tex]8x+2[/tex]

And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:

[tex]8x+2=50[/tex]

To find the number, we just need to find x. Thus, subtract 2 from both sides:

[tex]8x=48[/tex]

Divide both sides by 8:

[tex]x=6[/tex]

And we're done!

So, our original number was 6.

Answer:

what the answer is b

Step-by-step explanation:

hope this helped

Answer:

2y - 12

Step-by-step explanation:

Correct answer choice is:

Answer:

71.875

use long division so the 5.75 goes on top of the 0.08

Answer:

Step-by-step explanation:

You would have 58 hours per day of work. We need to divide 720 by 58 in order to get your answer. Because 720 is 30 days times 24 hours.

Answer:

Continuous

Step-by-step explanation:

There is never a period of time when the water's flowing halts because the opening and closing of the first and second pipe are overlapping. Hope this helps (:

Answer:

1151051051/100000000

Step-by-step explanation:

11.510510510 as a fraction equals 1151051051/100000000

Answer:

FH=24

Step-by-step explanation:

37-13=24

Answer:

0.45

Step-by-step explanation:

The correlation coefficient is used to measure the relationship between how two variables change. In this question, the two variables are cars speed and gas mileage. Since the speedometers were wrong as they were 5 mph too high in a constant manner, then the correlation between how changes in speed affect gas mileage will not be changed.

For example, if we are measuring how an increase of 15 mph decreased gas mileage, we are looking at the change in speed and it is the same if we start with 75 mph and then increase speed to 90 mph, or if we start with 45 mph and then increase to 60 mph. The change in speed for both cases will remain unchanged at 10 mph.

Now, since we have seen that the change in speed remains unchanged and since correlation coefficient is a measure of the relationship between how two variables change, then the new value of the correlation coefficient will remain the same as 0.45.

Answer: 25 and 30 is an example... hope this helped. If you have any more question lmk

Answer:C.

Step-by-step explanation:just took on edge

Answer:

Micheal could rewrite the equation as negative 8 + negative 3 and move 3 spaces to the left.

Step-by-step explanation:

-8 - 3 = -8 + (-3)

The step which complete evaluate Michael expression is "Michael could rewrite the expression as negative 8 + negative 3 and move 3 spaces to the left".

Subtraction on a number line helps to subtract smaller numbers very easily. While subtracting numbers on a number line, we need to jump (move) towards the left-hand side of a number line. We always start with the minuend and move towards the left according to the number given as the subtrahend. 'Minuend' is the number from which we subtract and 'subtrahend' is the number which is subtracted.

According to the given question.

We have an expression -8 -3

For evaluating the given expression on number line Michael have to follow some following steps:

Step1: Michael have to locate -8 on the number line.

Step2: Michael have to move towards the left hand side of the number line according to the number given in the subtrahend. In the given expression the subtrahend is 3, so we will move 3 units left. And at -11 he have to stop.

So, -11 will be the answer of the even expression.

Hence, the step which complete evaluate Michael expression is "Michael could rewrite the expression as negative 8 + negative 3 and move 3 spaces to the left".

Find out more information about subtraction on number line here:

https://brainly.com/question/24421274

#SPJ3

Answer:

7 minutes

Step-by-step explanation:

Answer:

-2/8

Step-by-step explanation:

-3r-9+7=5r

-2=5r+3r

r=-2/8

hope this helped you( ꈍᴗꈍ)

Answer:

r = -1/4

Step-by-step explanation:

5r = -3(r + 3) +7

multiplying -3 with r + 3

5r = -3r - 9 +7

taking -3r on the other side of equality sign

5r + 3r = -9 + 7

8r = -2

dividing 8 by -2

r = -2/8

simplifying -2/8

r = -1/4

Answer:

5 sqrt 3

Step-by-step explanation:

on edge 2020

Answer:

c. 0.778 < p < 0.883.

Step-by-step explanation:

The formula for confidence interval for proportion =

p ± z score × √p(1 - p)/n

p = x/n

n = 195, x = 162

z score for 95% confidence Interval = 1.96

p = 162/195

p = 0.8307692308

p ≈ approximately equal to = 0.8308

0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195

0.8308 ± 1.96 ×√0.8308 × 0.1692/195

0.8308 ± 1.96 × √0.0007208788

0.8308 ± 1.96 × 0.0268491862

0.8308 ± 0.052624405

Confidence Interval

= 0.8308 - 0.052624405

= 0.778175595

Approximately = 0.778

= 0.8308 + 0.052624405

= 0.883424405

Approximately = p

0.883

Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883

Answer:

initial velocity = o

then , answer will be 0 because initial velocity.

displacement =o

Answer:

Step-by-step explanation:

(2x−3)(3x+6)

=(2x+−3)(3x+6)

=(2x)(3x)+(2x)(6)+(−3)(3x)+(−3)(6)

=6x2+12x−9x−18

=6x2+3x−18

Answer:

1) 0.16 mg of pure heparin is in 80 Howell units

2) the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg

Step-by-step explanation:

Given that;

if a patient is less than 70 years of age then loading dose is 80 Howell units square per Kg of DM,

One Howell unit is equivalent to 0.0020 mg of pure heparin

1)

how many mg of pure heparin is in 80 Howell units.

that will be;

80 × 0.0020 = 0.16 mg

therefore 0.16 mg of pure heparin is in 80 Howell units

2)    

First we find the dosing mass

so dosing mass = body weight of the 5year old boy × 90%

from the question his total body weight of 40 lbs and  1 kg = 2.20 lbs

so

dosing mass = 40lbs × 1kg/2.20lbs × 90/100

dosing mass(kg) = 16.37 kg

Now to calculate the Loading dose we say;

Loading dose = dosing mass × heparin required per kg

Loading dose = 16.36 kg × 0.16 mg heparin per 1kg

loading dose = 2.618 mg heparin

therefore the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg

90 tiene 12 divisores:

1; 2; 3; 5; 6; 9; 10; 15; 18; 30; 45; 90

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; 10\, \;\ \\ $ } }\\[/tex]

Step-by-step explanation:

What numbers are divisible by 90?

For this question, there are more than 1 answer. I am doing the number 10 because it is easier.

I have attached an image. You will have to turn the image because it was taken from mobile.

Hope this helps!

Answer:

Answer. 5.0/5. 6.

Step-by-step explanation:

I am not doing step by step you should know this

Answer:

5/7, pretty sure a 4th of 21

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 2/3