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zmey [24]
2 years ago
11

Janice has $2.30 made up of dimes, pennies and quarters. She has as many dimes as pennies and she has 17 coins in all. How many

quarters does she have? (PLEASE HELP ME)
Mathematics
2 answers:
egoroff_w [7]2 years ago
8 0

Answer:

7 quarters

Step-by-step explanation:

We can use the guess method.

17 coins altogether, and as many dimes as pennies.

The number of quarters must be odd. When you subtract an odd number of quarters from 17, you get an even number which will divide by 2 evenly giving you the same number of pennies and dimes.

Start with a guess of 7 quarters.

17 - 7 = 10

7 quarters + 5 pennies + 5 dimes have a value of $2.30

Wow, I got it with the first guess.

Answer: 7 quarters

Zielflug [23.3K]2 years ago
6 0

Answer:The equation would be 230 = 25y + 10x + 1x or 230 = 25y + 11x

You would then need to solve for x and y, which I forget how to do with 2 variables but since we're working with small numbers what I would do is continuously subtract 25 from 230 until the remainder is divisible by 11.

230 - 25*7 = 55 = 11*5

x = 5

Ok, adding the equation 2x+y = 17 you will now be able to solve for the two variables using a system of equations.

yes, you can come up with an equation. actually, you can come up several equations to generate a system of equations.

your first equation is correct.

(1) 25q + 10d + 1p = 230

now, you're told that the number of dimes equals the number of pennies. that just means, in symbols:

(2) d = p

finally, you're told that you have 17 coins in all, i.e.:

(3) q + d + p = 17

you now have three equations and three unknowns. use (2) to reduce (1) and (3).

(1′) 25q + 11d = 230

(3′) q + 2d = 17

now solve for the three variables.

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To convert 7,614 mm to dm , you would move the decimal point 2 places to the left.
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What is the difference between a rate that is compounded annually and a rate that is compounded semiannually
8090 [49]

Answer:

the rate compounded semi-annually is compounded twice in a year. thus, this rate is higher than the rate compounded annually which is compounded once in a year

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

For example, there are two banks

Bank A offers 10% rate with semi-annual compounding

Bank B offers 10% rate with annual compounding.

If you deposit $100, the amount you would have after 2 years in each bank is

A = 100x (1 + 0.1/2)^4 = 121.55

B = 100 x (1 + 0.1)^2 = 121

The interest in bank a is 0.55 higher than that in bank B

3 0
2 years ago
Help asap please ----------------
melomori [17]

Answer:

-1 Not in domain

0 In domain

1 In domain

Step-by-step explanation:

The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

x\geq0

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;

-1 => less than zero; Not in domain

0 => equal to zero; <em> </em>In domain

1  => greater than zero: In domain

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A recipe for a soup.calls for 1/3 cup of chopped onion and 2/6 cup of chopped
Anestetic [448]

Answer: 2/3

Step-by-step explanation:

5 0
2 years ago
Fas
Mrrafil [7]

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

<h3>What is transformation of a function?</h3>

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

  • Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
  • Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

f(x) = x^3

This function is changed to the function,

g(x) = 2f(x -3),

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

Learn more about the transformation of a function here;

brainly.com/question/10904859

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