Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?

What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) + 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline

MissTica

Answer:

a on edge

Step-by-step explanation:

i took the cumulative exam

3 0

2 years ago

Read 2 more answers

Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.

lorasvet [3.4K]

Answer:

The answer to your question is given below.

Step-by-step explanation:

To know the correct answer to the question, do the following:

√12 + √108

= 12^½ + 108^½

= 4^½ • 3^½ + 36^½ • 3^½

Factorise

3^½ (4^½ + 36^½)

Recall:

4^½ = √4 = 2

36^½ = √36 = 6

Therefore,

3^½ (4^½ + 36^½) = 3^½ (2 + 6)

= 3^½ • 8

8 0

2 years ago

Adam reduces a 14 inch long document on the photocopier. The copy is 0.6 times as long. The type on the reduced document is too

Oksanka [162]

14 inch document....it is reduced to 0.6 times as long...
14 * 0.6 = 8.4 inches long
it is too small, so he enlarges it 1.4 times...
8.4 * 1.4 = 11.76 inches <===

7 0

2 years ago

Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ

Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price = 30% of $256,000

i.e The down payment price = $\dfrac{30}{100}$ × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $179,200 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 20}$

Or, A = $179,200 × $(1.075)^{\textrm 20}$

Or, A = $179,200 × 4.24785

∴ A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72 Answer

7 0

2 years ago

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60

leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

-15g-30b=-225

Now the g will cancel out when you add both equations

-18b=-105

b=105/18 which is about 5.83 dollars

Now plug in 105/18 into any of the original equations and solve for g

4 0

2 years ago