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3 years ago

Driving at an average speed of 52mph, how long will it take someone to take a 390 mile road trip?

Mathematics

2 answers:

iren2701 [21]3 years ago

5 0

Answer:

7 & a half hours

Step-by-step explanation:

390÷52= 7.5hr or 7 & a half hours

Aleksandr-060686 [28]3 years ago

5 0

38.5555555 that’s what I got lol

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Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pound

Ratling [72]

Answer: A. Cost per egg = $4 .

B. Cost per pound = $ 2.5

C. Cost per roll = $ 0.5

D. Cost per apple = $0.35

Step-by-step explanation:

Formula: cost per item = (total cost) ÷ (number of items)

A. 12 eggs for $3.

Cost per egg = $ (12÷3) = $4

So, Cost per egg = $4 .

B. 3 pounds of peanuts for $7.50

Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5

So, Cost per pound = $ 2.5

C. 4 rolls of toilet paper for $2.

Cost per roll = $ (2 ÷4 ) = $ 0.5

So, Cost per roll = $ 0.5

D. 10 apples for $3.50.

Cost per apple = $ (3.50 ÷ 10)= $ 0.35

So, Cost per apple = $0.35

4 0

3 years ago

What graph represents the function f(x)= -x2+5?

ololo11 [35]

I hope it would helps

6 0

3 years ago

Suppose two dice are tossed and the numbers on the upper faces are observed. Let S denote the set of all possible pairs that can

lesya [120]

Answer:

The set A={(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(1,(2,6),(3,6),(4,6),(5,6),(6,6)}

B={(2,2),(4,2),(6,2),(2,4),(2,6),(1,3),(1,5),(1,1),(3,1),(3,3),(3,5),(4,4),(4,6),(5,1),(5,3),(5,5),(6,4),(6,6)}

C={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,5),(3,3),(3,5),(3,4),(3,6),(4,1),(4,3),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,3),(6,5)}.

A∩B:{(2,2),(4,2),(6,2),(2,4),(2,6),(4,4),(4,6),(6,4),(6,6)}

A∪B={(1,2),(2,2),(4,2),(6,2),(2,4),(2,6),(4,4),(4,6),(6,4),(6,6),(3,2),(5,2),(1,4),(3,4),(5,4),(1,6),(3,6),(5,6),(1,3),(1,5),(1,1)(3,1),(3,3),(3,5),(5,1),(5,3),(5,5)}

A∩C={(1,2),(1,4),(1,6),(3,2),(3,4),(3,6),(5,2),(5,4),(5,6)}

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Use DeMoivre's Theorem to find (3cis*pi/6)^3

Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ = {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ = rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

= 3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

7 0

2 years ago

A jewelry company prints a hidden logo watermark. The watermark is a chord that is 0.8 cm from the center of a circular ring tha

Sergeeva-Olga [200]

Answer:

length of chord is 6cm

Step-by-step explanation:

Here, we are to calculate the length of the chord.

It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.

Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.

mathematically;

3^2 = 0.8^2 + l^2

9 = 0.64 + l^2

l^2 = 9-0.64

l^2 = 8.36

l = √(8.36)

l = 2.89 approximately

The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length

5 0

3 years ago