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3 years ago

Six oranges cost 5.34. How much does 1 Orange cost?

Mathematics

2 answers:

irakobra [83]3 years ago

7 0

534 divided by 6 is 89. Move the decimal to the left twice(.89). Each orange costs 89¢

ikadub [295]3 years ago

6 0

Divide the total cost with the amount there is

5.34/6 = 0.89

Each orange costs $0.89, or 89 cents

hope this helps

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Waves with an amplitude of 2 feet pass a dock every 30 seconds. Write an equation for a cosine function to model the height of a

kolbaska11 [484]

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

$\left | a \right |$ = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude $\left | a \right |$ = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

The time for each complete cycle = 2 × 30 seconds = 60 seconds

The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

The cosine function is h = 2·cos((π/30)·t).

4 0

3 years ago

What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically

tensa zangetsu [6.8K]

Remember (a²-b²)=(a-b)(a+b)

solve for a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero

x-3=0
x=3

x+3=0
x=-3

x-√5=0
x=√5

x+√5=0
x=-√5

sub back to find y

(x²-7)=y

for x=3
9-7=2
(3,2)

for x=-3
9-7=2
(-3,2)

for √5
5-7=-2
(√5,-2)

for -√5
5-7=-2
(-√5,-2)

the intersection points are

(3,2)
(-3,2)
(√5,-2)
(-√5,-2)

8 0

4 years ago

steve desposite $1800 per month in his saving bank account. If thi is 20% of the monthly income, find his monthly income

Vikki [24]

Step-by-step explanation:

Hey there!

The amount deposited= $1800

And it's just 20% of total monthly amount.

Let total amount be "x".

Then;

$1800 = 20% of X

$1800 = \frac{20}{100} \times x$

or, 180000= 20x

or, X = 180000=/20

Therefore, total monthly amount or income was $9000.

Hope it helps!

8 0

3 years ago

Three times the sum of a number and 4 is the same as 18 more than the number. what is the number

____ [38]

Answer:

three times the sum of a number and 4, if n were to represent the unknown number, is:

3(n + 4)

18 more than a number is:

n + 18

If these two are the same, then they are equal to each other, then:

3(n + 4) = n + 18

*Do the distributive property on the left*

3n + 12 = n + 18

*Combine like terms*

2n = 6

*Divide both sides by 2*

n = 3

The number is 3.

7 0

3 years ago

Ms. Putnam is taking a group of students to a basketball game. Tickets to the basketball game cost $8 each. For each ticket that

Volgvan

Answer:

8x + 1x + 2x = $$

Step-by-step explanation:

I think this is the answer

5 0

3 years ago