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PIT_PIT [208]
3 years ago
5

you can use the expression 5n to determine the amount of money you have in cents, when you have n nickels. Find the amount of mo

ney you have, in cents, when you have 18 nickels
Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

90 cents

Step-by-step explanation:

Find how much money you have by plugging in 18 as n into the expression:

5n

5(18)

Multiply:

= 90

So, when you have 18 nickels, you have 90 cents

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NEED IT ASAP What is the value of x in the diagram below? A.18/ ROOT 3 B.18 ROOT 2/ROOT 3 C.18 ROOT 3/ ROOT 2 D. 18 ROOT 2
Ostrovityanka [42]

Answer:

x = B. 18 ROOT 2/ROOT 3

Step-by-step explanation:

There are two Triangles in the diagram above.

Step 1

We would solve for Triangle A First

Using Trigonometric function Cosine

cos θ = adjacent /hypotenuse

θ = 30°

Adjacent = 9 units

Hypotenuse = unknown

cos 30= 9/ Hypothenuse

Cross Multiply

cos 30 × Hypotenuse = 9

Hypotenuse = 9 / cos 30

cos 30 in surd form = √3/2

Hypotenuse = 9/√3/2

Hypotenuse = 9 × 2/√3

= 18/√3 units

Step 2

We would solve for the upper triangle = Triangle B

We are looking for x

θ = 45°

For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B

Therefore ,

Hypotenuse for Triangle A = Adjacent side for Triangle B

θ = 45°

Adjacent = 18/√3 units

Hypotenuse = x = unknown

We would solve for this using Trigonometric function cosine

cos 45 = 18/√3 units / Hypothenuse

Cross Multiply

cos 45 × Hypotenuse = 18/√3 units

Hypotenuse = 18/√3 units / cos 45

cos 45 in surd form = 1/√2

Subtituting, we have

Hypotenuse (x) = 18/√3 units / 1/√2

Hypotenuse (x) = 18/√3 units ×√2/1

= 18× √2/ √3 units

= 18 √2/√3 units

Therefore x = Option B. 18 ROOT 2/ROOT 3

3 0
2 years ago
Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawls we
boyakko [2]

Answer:

The amount is $418.35 and the interest is $98.35

Step-by-step explanation:

4 0
2 years ago
Please help with solving the blank answers
KATRIN_1 [288]
Distribute The 4 In Problem Number 2. (4*2.5X)+(4*1.25) = 77
Simplify. 10X+5 = 77. Now, Subtract 5 From Both Sides. 
10X = 77-5
10X = 72.
Now, Divide.
X = 72/10. 
X = 7.2.
For 13, We Have This:
3/5p+2/3 = 8.
Now, Subtract 2/3. 
3/5p = 7 1/3
Now, Divide. 
7 1/3 Needs To Be Converted To An Improper Fraction. 
It Becomes 22/3.
22    5    110
--- * --- = ----
 3     3      9
Now, Make Into A Proper Fraction.
It Becomes 12 And 2/9. 

6 0
3 years ago
Find the value of x when 6 - 3x = 5x - 10x + 8.<br> The value of x is
katrin2010 [14]

Answer:

Step-by-step explanation:

Simplify

6 + -3x = 5x + -10x + 8

terms:

6 + -3x = 8 + 5x + -10x

Combining  like terms: 5x + -10x = -5x

6 + -3x = 8 + -5x

Solving

6 + -3x = 8 + -5x

Move all terms containing x to the left, all other terms to the right.  (Remember)

Add '5x' to each side of the equation.

6 + -3x + 5x = 8 + -5x + 5x

Combine the like terms -3x + 5x = 2x

6 + 2x = 8 + -5x + 5x

Combine the like terms again  -5x + 5x = 0

6 + 2x = 8 + 0

6 + 2x = 8

Then '-6' to each side of the equation.

6 + -6 + 2x = 8 + -6

Combine the like terms: 6 + -6 = 0

0 + 2x = 8 + -6

2x = 8 + -6

Combine the like terms: 8 + -6 = 2

2x = 2

Then divide each side by '2'.

x = 1

Simplifying

x = 1

7 0
3 years ago
Read 2 more answers
Your mom purchased an antique lamp for $245. The value
larisa86 [58]

Answer:

y=245 * 1.035^t   $487.50

Step-by-step explanation:

y=245*1.035^20

y=245*1.9898

y=487.49827

6 0
2 years ago
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