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Alchen [17]
3 years ago
13

A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle o

f hot sauce did Leigh use for lunch?
Mathematics
2 answers:
Ymorist [56]3 years ago
5 0

Answer:

Your answer will be 19/36

elena-s [515]3 years ago
4 0

Answer:

16.67

Step-by-step explanation:

here amount remained in hot sauce bottle = 3/4

he uses 2/9 contents of hot sauce bottle, that is =2/9×3/4 =1/6

in terms of 100, he used 1/6×100 =16.67% of a full bottle of hot sauce for launch.

Therefore, he used 16.67% of a full bottle of hot sauce for lunch

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Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares
musickatia [10]

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

4 0
3 years ago
Solve using the pathagorean theorem​
REY [17]

Answer:

b=45^1/2

Step-by-step explanation:

a^2+b^2=c^2\\6^2+b^2=9^2\\b^2=81-36\\b^2=45\\b=\sqrt{45}

4 0
2 years ago
Arun took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4 plus $4.25 per mile. The total fare
Natasha2012 [34]

Here we must write and solve a linear equation to find the number of miles that Arun traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Arun traveled 11 miles in the taxi.

5 0
2 years ago
Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pai
DerKrebs [107]

Answer:

The motion of the particle describes an ellipse.

Step-by-step explanation:

The characteristics of the motion of the particle is derived by eliminating t in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:

\cos^{2} t + \sin^{2} t = 1 (1)

Where:

\cos t = \frac{y-3}{2} (2)

\sin t = x - 1 (3)

By (2) and (3) in (1):

\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1

\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1 (4)

The motion of the particle describes an ellipse.

7 0
3 years ago
What is the insverse of the function f(x) =2x+1?
goldenfox [79]
F(x) = 2x + 1

To find the inverse of a function you just need to switch the x by y or vice-versa:

-> y = 2x + 1
-> x = 2y + 1

After that you isolate the y again:

-> 2y = x - 1

-> y = (x-1)/2
-> f^-1 (x) = (x-1)/2

Answer:
f^{ - 1} (x) = (x - 1) \div 2
5 0
3 years ago
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