Han drinks three gallons of iced tea each day. Each gallon of iced tea contains ¾ cups of sugar. How much sugar does Han drink when drinking her iced tea each day?

The answer for A is,

[tex]a = 5 + \frac{ \sqrt{6} }{ \sqrt{5} } - \sqrt{6} - \sqrt{6b} [/tex]

And the answer for B is,

[tex]b = - 1 + \frac{5 + \frac{ \sqrt{6} }{ \sqrt{5} } - a }{ \sqrt{6} } [/tex]

hope it helps.

sorry of its wrong.

The rent in the 5th year is $2120.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. We can find the amount regularly increasing by using arithmetic.

As per the given data:

Cost of the apartment per month during the first year is given, also the increase in rent every year is given.

We have to find out the monthly rent during the 5th year of living in the apartment.

For finding out the monthly rent during the 5th year of living in the apartment:

Rent in first year + Increase in rent in each year × (5 - 1)

= 1400 + 180 × 4

= 1400 + 720

= $2120

The rent in the 5th year is $2120.

Hence, The rent in the 5th year is $2120.

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Answer:

$3.20, help this helps. lmk if it doesn't help

Answer:

$1.84

why do I have to write 20 characters

Answer:

Mas não reconhecida como a face da sua vida

Answer:

92

Step-by-step explanation:

nth term = a₁ + (n - 1)d

19th term = 2 + (19 - 1) * 5

               = 2 + 18*5

               = 2 + 90

               = 92

Answer:

A

Step-by-step explanation:

3(x+2)+4x=3x+6+4x=7x+6

the expression fir the weight  of Emmett's dog is 1.25p

Step-by-step explanation:

The weight of Jordan's dog is p pounds.

And it has been given that Emmett's dog weighs 25% more than Jordan's dog.

Hence, 25% of weight of Jordan's dog is

25% of p

= 0.25p

Now, since, Emmett's dog weighs 25% more than Jordan's dog.

Hence, the weight  of Emmett's dog is given by

Weight of  Jordan's dog + 25% of weight of Jordan's dog

= p + 0.25p

=1.25 p

Therefore, the expression fir the weight  of Emmett's dog is 1.25p

Based on the amount invested and the amount it grew to, the simple interest rate is 1%.

Lauren invested $50 and got $50.50 after a year.

This rate can be found by the formula:

= (Difference in investment in year 1) / Amount invested x 100%

Solving gives:

= (50.50 - 50) / 50 x 100%

= 1%

In conclusion, the rate is 1%.

Find out more about simple interest at https://brainly.com/question/2294792.

Answer:

The circumference is similar to the perimeter in that it is the total length needed to draw the circle.

We note the circumference as c.

c = 2πr

or

c = πd

This depends on whether or not you know the radius (r) or the diameter (d)

Let’s calculate one manually, for example.

If r = 6 cm, then the circumference is c = 2π(6) = 12π cm, if writing in terms of π. If you prefer a numerical value, the answer rounded to the nearest tenth is 37.7 cm.

Suppose you only know the diameter? If the diameter is 8 cm, then the circumference is c = π(8) = 8π or 25.1 cm, rounded to the nearest tenth.

Step-by-step explanation:

Answer:

The formula for finding the Circumference of a circle is: C = πd where d represents the diameter of the circle. The formula may also be written: C = 2πr where r is the radius of the circle. Example 1: The diameter of a circle is 16 cm.

Step-by-step explanation:

jayfeather friend me

brainliest

2.82

Answer:

It would equal 19 dollars

Step-by-step explanation:

Answer:

(FGH ; FGI ; GHI ; HIF)

Step-by-step explanation:

Frank, = F

Grey = G

Hala = H

Inez = I

3 children sitting in the back seat :

Using combination formula :

4C3

nCr = n! /(n-r)! r!

4C3 = 4! / 1! 3!

4C3 = 4 / 1 = 4

The 4 Possible combinations are :

(FGH ; FGI ; GHI ; HIF)

Answer:

I do my love a ti love

Step-by-step explanation:

coroneta

Answer:

The sequence is a Gp

Each term can be gotten from multiplying the common difference (4)

Next three terms

(-192×4)= - 768

(-768×4)= - 3172

(-3172×4)= - 12688

The diagram should help

Answer:

first one is 42

second one is 3/8

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Well if you think about it, if she has a total of 10 attempts she has to make 8 of them to make it on the team. Now the total attempts is double so we double the number of throws she needs to make in order to make the team so to do this we would do 8*2 which is 16. She needs to make 16 throws to make it on the team.

Answer:

1. Complementary

2 Supplementary

Hope this helped!

Answer:

Angles that add up to 90: Complementary

Angles that add up to 180 degrees: Supplementary

Step-by-step explanation:

Answer:

The answer is 35 and here is why!

Step-by-step explanation:

It is because, m = 10

So, therefore 3.5m = 3.5*m = 3.5 * 10

Therefore, answer is 35.

Hope this helps.

Answer:

x = 7

Step-by-step explanation:

3x - 5 = 16

3x = 16 + 5

3x = 21

x = 21/3

x = 7

Answer:

16

Step-by-step explanation:

24/8=3

48/3=16

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

[tex]P=0.25n[/tex]       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

[tex]P\propto n[/tex]

[tex]P=kn[/tex]            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

[tex]k=0.25[/tex]

Therefore, the constant of proportionality is 0.25.

Answer:

5.8 × 10^(6) is greater.

Step-by-step explanation:

The 2 numbers she wants to compare are;

5.8 × 10^(6) and 2.32 x 10^(7)

Now,for her to compare easily both numbers will need to have the same powers of 10.

To this effect, let's convert the power of ten of the second number to the power of 6.

We will divide by 10 to get it.

Thus; 2.32 x 10^(7) ÷ 10 = 0.232 × 10^(6)

Comparing 0.232 × 10^(6) to 5.8 × 10^(6), we can see that they have same power of 10 but the greater number that precedes the power of 10 is 5.8.

Thus, 5.8 × 10^(6) is greater.

Answer:

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]

as  1 1/4 = 3/4, so

[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]  

Apply fraction rule:  [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

             [tex]=\frac{2+3}{4}[/tex]

              [tex]=\frac{5}{4}[/tex]

2)

Divide by 2

[tex]\frac{5}{4}\div \:2[/tex]

Convert element to fraction:  [tex]2=\frac{2}{1}[/tex]

[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]

Apply fraction rule:  [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

         [tex]=\frac{5}{4}\times \frac{1}{2}[/tex]

Multiply fractions:  [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

         [tex]=\frac{5\times \:1}{4\times \:2}[/tex]

         [tex]=\frac{5}{8}[/tex]

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8

9514 1404 393

Answer:

  179 ft

Step-by-step explanation:

The applicable trig relation is ...

  Tan = Opposite/Adjacent.

The height of the lighthouse is the opposite side of the right triangle. The adjacent side to the angle of elevation from the boat is the distance to the lighthouse base. Then ...

  tan(50°) = height/(150 ft)

  height = (150 ft)(tan(50°)) ≈ 178.76 ft

The height of the lighthouse is about 179 feet.

Answer:

=6 3/5 or 33/5

Step-by-step explanation:

3/5 * 11

33/5

= 6 3/5

Step-by-step explanation:

[tex]{ \large{ \red{ ➠ \: \: \bf{ \frac{3}{5} \times 11}}}} \\ [/tex]

[tex]{ \large{ \blue{ ➠ \: \: \bf \frac{33}{5} }}}[/tex]

[tex]{ \large{ \green{ \therefore{ \boxed{ \bf6 \frac{3}{5} }} \: \: Ans}}}[/tex]

Answer: B it seems like

Answer:

A

Step-by-step explanation:

We can see that the y intercept is equal to 1

which means that we have the following equation

mx+1=y

We just need to solve for m at this point

We can use the ordered pair (-2,2) to help

We know that

-2m+1=2

Solve for m

-2m=1

m= -1/2

Put this together and we get

-1/2m+1=y which is A