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Alik [6]
3 years ago
9

Tripp has $4.30 in his pocket made up of 26 coins consisting of quarters and nickels. How many of each type of coin does he have

?
Mathematics
2 answers:
ycow [4]3 years ago
7 0
16 quarters and 10 nickels.

16 quarters are worth 4.00 and 10 Nickels are worth .30
Black_prince [1.1K]3 years ago
6 0

Answer:

15 quarters

11 nickels

Step-by-step explanation:

Let q represent quarters and n represent nickels

First, set up a system of equation:

q+n=26

0.25q+0.05n=4.30

then solve the equations:

q+n=26

0.25q+0.05n=4.30 (multiply this equation by -4)

q+n=26

-q-0.2n=-17.2

0.8n=8.8

n=11

So, there are 11 nickels.

to find the amount of quarters Tripp has:

q+11=26

q=15.

So Tripp has 15 quarters and 11 nickels.

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If a coin is flipped 20 times and a head comes up 7 times, what is the relative frequency of a head coming up?
Tju [1.3M]
Relative frequency is the absolute frequency (i.e. the number of times of the wanted result) divided by the total  number of events.

In this case you have to calculate: the number of heads that came up divided by the number of times the coin was flipped.

Number of times the coin was flipped: 20
Numbef of times head came up: 7

Relative frequency: 7 / 20 = 0.35, which is the option B.
7 0
3 years ago
Read 2 more answers
At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu
V125BC [204]

Answer:

\frac{^3C_1\times ^4C_1}{^{12}C_2}

Step-by-step explanation:

Given,

Art electives = 3,

History electives = 4,

Computer electives = 5,

Total number of electives = 3 + 4 + 5 = 12,

Since, if a student chooses an art elective and a history elective,

So, the total combination of choosing an art elective and a history elective = ^3C_1\times ^4C_1

Also, the total combination of choosing any 2 subjects out of 12 subjects = ^{12}C_2

Hence, the probability that a student chooses an art elective and a history elective = \frac{\text{Total combination of choosing an art elective and a history}}{\text{ Total combination of choosing any 2 subjects}}

=\frac{^3C_1\times ^4C_1}{^{12}C_2}

Which is the required expression.

3 0
3 years ago
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The perimeter of a chalkboard is 16 feet. The area is 15 square feet. What are the dimensions of the board
Daniel [21]

Answer:

5 by 3

Explanation:

15 = 5 x 3

16 = 5 + 5 + 3 + 3

4 0
3 years ago
How do you solve -2/5x -9<9/10
Finger [1]

Answer:

x > -99/4

Step-by-step explanation:

I must assume that you meant (-2/5)x -9<9/10.

This inequality has 3 terms.  The LCD is 10.  Multiply each term by 10 and reduce the result:

10(-2/5)x - 10(9) < 10(9/10), or:

-4x - 90 < 9

Adding 90 to both sides results in:

-4x < 99

Here we must divide by a negative number (that is, by -4).  This requires reversing the direction of the inequality sign:

x > -99/4 is the final solution.

5 0
3 years ago
Ok so if -4/5 is divided by 2 what would be the quotient
scoray [572]
<h2>-2/5</h2>

-\frac{4}{5}\div \:2

-\frac{4}{5}\div \frac{2}{1}

-\frac{4}{5}\times \frac{1}{2}

-\frac{4}{10}=-\frac{2}{5}

3 0
3 years ago
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