eah’s friends gave her $12 at her birthday party. Then her grandparents gave her some more money. In all she had $112 of birthday money! Let m be the money she got from her grandparents.

The conditional probability of A given B (P(A|B)) is 1/6, or approximately 0.167.

Conditional probability is the probability of an event occurring given that another event has already occurred.

It is denoted by P(A|B), where A and B are events, and P(A|B) represents the probability of event A occurring given that event B has already occurred

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

To find the conditional probability of A given B (P(A|B)), we can use the formula
P(A|B) = P(A ∩ B) / P(B)
We are given:
P(A) = 0.5 (probability of event A occurring)
P(B) = 0.6 (probability of event B occurring)
P(A ∩ B) = 0.1 (probability of both A and B occurring)
Now, we can plug in the given values into the formula:
P(A|B) = 0.1 / 0.6
P(A|B) = 1/6.

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Answer:

327 miles

Step-by-step explanation:

Answer:

327.5 miles

Step-by-step explanation:

45 times 4.5 + 50 times 2.5 = 327.5

Answer:

63 inches

Step-by-step explanation:

1 foot = 12 inches

5 feet = 60 inches

60+3 = 63 inches

Answer:

A

Step-by-step explanation:

10% raise in $20 is $2, so its only $2 more, so each hour she would earn $2 more.

Option D is the answer. $200

= 7a + 3b + 301

Step-by-step explanation:

7a + 5b + 301 - 2b

= 7a + 5b - 2b + 301

= 7a + 3b + 301

The slope of the line is 2/5 and to represent the "rise" and "run" on the line, a vertical line and a horizontal line are drawn to show the change in y and x, respectively.

To find the slope of the line, we can choose two points on the line and use the formula:

slope = (change in y)/(change in x)

Let's choose the points (-2, 3) and (3, 5) on the line. The "rise" is the change in y and the "run" is the change in x between these two points:

Rise = change in y = 5 - 3 = 2

Run = change in x = 3 - (-2) = 5

So the slope of the line is:

slope = (change in y)/(change in x) = 2/5

Therefore, the slope of the line in simplest form is 2/5.

To represent the "rise and run" on the line, we can draw a vertical line going from the point (-2, 3) to the point (-2, 5) to represent the "rise" of 2 units, and a horizontal line going from the point (-2, 5) to the point (3, 5) to represent the "run" of 5 units.

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An equivalent expression is an expression that is equal in value to a given expression. For example, consider the following expression: 4x + 2y

An equivalent expression is an expression that represents the same value as a given expression, regardless of the specific values of any variables that appear in the expression. Equivalent expressions can be obtained by applying the rules of algebra, such as the associative, commutative, and distributive properties.

This expression is equivalent to the following expressions:

2(2x + y)

2y + 4x

(4 + 2)x + 2y

All of these expressions are equivalent because they all represent the same value, regardless of the specific values of x and y. They can all be simplified to the same expression by applying the rules of the algebra.

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Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is y=5x+3

Hope this helps! :)

Answer:

240 words

Step-by-step explanation:

2 minutes = 80 words

1 minute = 80 ÷ 2 = 40 words

6 minutes = 40 x 6 = 240 words

Answer:

240 words.

2 mins - 80 words

6 mins - 80 x 3 = 240 words.

Hope you understood

Answer:

A. 38

Step-by-step explanation:

Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :

Answer: Here is the step:

−2x;x+2y=9

x+2y=9

Then substitute -2x for y

-3x/-3 =9/-3

x= -3

Answer:

w = 18

Step-by-step explanation:

w-3=15

Add 3 to each side

w-3+3=15+3

w = 18

Answer:

w = 18.

Step-by-step explanation:

w - 3 = 15

w = 15 + 3

w = 18

Check your work!

18 - 3 = 15.

Hope this helps!

Answer: 379 meters squared

Step-by-step explanation:

Hello!

So, to calculate this area, we need to split it into 3 squares.

You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.

Area of a square (in this case rectangle) = Lenght multiplied by width

We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.

The first square will be the big one:

To get the length of the big square, we need to subtract 5 from 23.

Length of big square = 18 meters

And the width is also 18 meters

Area of the big square = 18 * 18 = 324 meters squared

Now, let's calculate the top left square's area.

That will be 5 meters * 5 meters.

Area of top left square = 25 meters squared.

Top right square's area = 6 meters * 5 meters.

Area of top right square = 30 meters squared

Now, we just gotta add them all up:

324 + 25 + 30 meters squared = 379 meters squared

Hope I Helped!

Answer:

196101

Step-by-step explanation:

Step-by-step explanation:

p = 5 ÷ (12.37 - 1.12)

p = 5 ÷ 11.25

p = 2.25

Answer:

$12.37-1.12=$11.25

let p =1 slice

5(p)=11.25

5p=11.25

Answer:

To divide mixed fractions, you could first convert each to an improper fraction. Then, switch to a multiplication problem by multiply by the reciprocal of the divisor. Simplify and convert your answer back to a mixed fraction to get your answer!

Answer:

Hi

Step-by-step explanation:

Please pick me

Answer: 3x + 5

Step-by-step explanation:

First, we need to understand that x is a variable, an unknown number. Think back to how you would do multiplication with numbers that you know. Here are some examples:

If you want to multiply 2 by 3, you would write 3 × 2.

If you want to multiply 3 by 256, you would write 3 × 256.

If you want to multiply 3 by x, you would write 3 × x.

If you want, you can simplify 3 × x to 3x. 3x just means that you are multiplying three by x.

Now we have finished the first step. 3x means three times a number. Now, what about the plus 5?

For the next part, we need to add five to this expression. Think back to how you know how to do addition.

If you want to add 5 to 9, you would write 9 + 5.

If you want to add 5 to 24, you would write 24 + 5.

If you want to add 5 to x, you would write x + 5

If you want to add 5 to 3x, you would write 3x + 5.

In conclusion, 3x + 5 means three times a number (x) plus five. If this doesn't make sense yet, don't worry. You have got this. Don't give up. For more information, search "How to write an expression."

Answer:

Step-by-step explanation:

Difference = New temperature - original temperature

                  = -12 - (18)

                 = - 30

New temperature is 30° less than the original temperature

Answer:

(8, 14)

Step-by-step explanation:

Multiply by 2

Answer:

1.4 acres of grass can be planted.

Step-by-step explanation:

He has 9.24 pounds of seeds.

If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.

9.24 lbs × \(\frac{1acre}{6.6 lbs}\) = 1.4 acres

The statement that is not true about Juan's graph is (a) the domain of g(x) is x ≥ -3.

From the graph of the exponential function, we have the following highlight:

The smallest x value is greater than -3

This means that the domain of the graph is

x > -3

Hence, the false statement about Juan's graph is (a) the domain of g(x) is x ≥ -3.

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The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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Answer:

  3 1/2 quarts

Step-by-step explanation:

The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.

Of the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.

Of the 4 quarts of lemonade, the quantity that is water will be ...

  (7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water

Answer:The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).

What is an expression?

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of four and the sum of a number and three,

The above statement can be written as,

4÷(x + 3)

Here, x is the number

Step-by-step explanation:4÷(6+3)

6+3 is the sum of a number and 3, and you divide 4 by that.

Answer:

-2

Step-by-step explanation:

from one point to another, you go down 2 and over 1

Answer:

the answer is -2

Step-by-step explanation:

this is because for every unit it goes to the right it goes down 2 which makes it negitive if it is facing down and positive if facing up.

Answer:

152 ft^2.

Step-by-step explanation:

The surface area is made up of 3 rectangles and 2  triangles

= 5 * 8 + 5 * 8 + 6 * 8 + 2 * 1/2 * 4 * 6

=  40 + 40 + 48 + 2*12

= 152.