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3 years ago

Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ?

Mathematics

1 answer:

Anika [276]3 years ago

5 0

Answer:

2/9.

Step-by-step explanation:

There are 2 multiples of 4 in the 9 cards, 4 itself and 8.

So the required Probability is 2/9.

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Solve the quadratic equation by using either a numeric or a graphic approach.

dimulka [17.4K]

Answer:

Step-by-step explanation:

x²-14x-49=0

x²-14x+49=49+49

(x-7)²=98

(x-7)²=49×2

x-7=±7√2

x=7+7√2=7(1+√2)≈7(1+1.414)≈7(2.414)≈16.898≈16.9

x=7-7√2=7(1-√2)≈7(1-1.414)≈-7×0.414≈-2.898≈2.9

4 0

2 years ago

Copy Mark charges $26 + 44 cents per copy to produce promotional brochures a royal linear equation that relates the cost c in do

olganol [36]

Answer:

$(a)\ y = 26 + 0.44x$

$(b)\ 114\ copies$

Step-by-step explanation:

Given

$Base\ Charge = \$26$

$Rate = 44c$ per copy

Solving (a): Linear Equation

The total charges (y) is: the base charge + the rate * number of copies (x).

So, we have:

$y = 26 + 0.44 * x$

<em>The 0.44 is 44 cents converted to dollars</em>

$y = 26 + 0.44x$

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

$y = 26 + 0.44x$

$76.16 = 26 + 0.44x$

Collect like terms

$0.44x = 76.16 - 26$

$0.44x = 50.16$

Solve for x

$x = \frac{50.16}{0.44}$

$x = 114$

4 0

3 years ago

1/3x - 3/2y = 4

Alisiya [41]

Multiply the first fraction by six and get : 2x - 9y = 24
So if this system has no solutions, then b would be nine.

3 0

3 years ago

Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x.

CaHeK987 [17]

Answer:

$-x^5+3x^4+16x^3+7x^2-3x+6$

Step-by-step explanation:

Given polynomials are:

$x^5-4x^4+7x^3+8$ , $9x^3+7x^2-10$ and $-2x^5+7x^4-3x+8$

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

$x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8$

$-x^5+3x^4+16x^3+7x^2-3x+6$

Hence final answer in descending order is $-x^5+3x^4+16x^3+7x^2-3x+6$

6 0

3 years ago

(help)Name the intersection of the two planes in the image below.

serg [7]

Answer:

Step-by-step explanation:

The intersection of the 2 planes is along the line XZ

3 0

3 years ago