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3 years ago

Joy has 15 coins with a value of $1.10 (nickels and dimes). how many of each are there?

Mathematics

2 answers:

Goryan [66]3 years ago

5 0

Dimes= $0.10

Nickels=$0.05

$1.10 could hold 11 dimes or 22 nickels, but there on only 15 coins are in this total.

So a total of 7 dimes and 8 nickels is 15 coins and equal to $1.10

DIA [1.3K]3 years ago

4 0

7 dimes and 8 nickles

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A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i

Akimi4 [234]

The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

$E(x) = \sum x * P(x)$

This gives

$E(x) = \frac 14 * 7 - 1 * \frac34$

Simplify

$E(x) = \frac 74 - \frac34$

Evaluate

$E(x) = 1$

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

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2 years ago

If the area of a triangle is 30 in.? and the base is 5 in., what is the height?

seropon [69]

The height would be 12. This is because the area formula for a triangle is base times height divided by 2.
Therefore 12 x 5 = 60 and 60/2 = 30 :)

7 0

3 years ago

Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c

Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation $4x^2+5x+3=2x^2-3x$

$2x^2+8x+3=0$

On comparing with standard quadratic equation $ax^2+bx+c$

a = 2, b = 8 and c = 3

So roots of the equation will be $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581$

(b) $c^2-14=5c$

$c^2-5c-14=0$

a = 1, b = -5 and c= -14

So $c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855$

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3 years ago

What is the approximate volume of the small truck? length 11 1/3 ,width 7 5/12 ,height 6 3/4?

luda_lava [24]

V = L X W X H
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Which reduces to 567 3/8
V= 567 3/8

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