Daphne rolls two 6-sided number cubes. What is the probability that she rollsa sum equal to 3? Use the diagram of the sample space to help you. please help me

n<4 or n>8

10) Let's solve that compound inequality:

12 + 4n> 44 or 10 -12n> -38

2) Solving each one separately

12 + 4n > 44 Subtracting 12 from both sides

4n > 44 -12

4n > 32 Divide both sides by 4

n> 8

10 -12n> -38 Subtracting 10 from both sides

-12n > -38 -10

-12n > -48 Divide both sides by -1 and flipping the sign

n < 4

3) Graphing the solution, we have:

Notice that for that, we'll use open dots since 4 and 8 are not included.

the figure show, the length between P and T and the length between T and Q, are equal.

so we can say PT=TQ

PT= 3x+2 and TQ=5x-6

so we can replace:

3x+2=5x-6

now we solve

2+6=5x-3x

8=2x

8/2=x=4

and finally, to find PT we replace x by 4

PT=3*4+2=14

So the answer is: PT=14

The break-even point for the glide 5 hoverboard is 36670.4.

Given that:

We know that at break-even:

Now,

By subtracting "25.42x" from both sides, we get:

Then,

Therefore, the break-even point for the glide 5 hoverboard is 36670.4.

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Step 1

To graph the function y= -5x

we set x=1 and y=0 individually.

The vertex form of a quadratic function is:

Where (h, k) is the vertex. Looking at the graph, the vertex is at (-1, 2), then:

Finally, to find "a" we use the fact that 1 is the y-intercept of the graph (where the function is evaluated at x = 0). Then:

The final form of the function is:

ANSWER and EXPLANATION

We are given x = 2.

To plot the graph of x = 2, it is important to note that the value of x does not change for this equation.

x is always 2 regardless of the value of y.

This means that we are going to plot a straight line that will straight up (and down as well) at x = 2.

The graph therefore is:

Let's begin by listing out the information given to us:

ABCD is a trapezoid

A (-8, -4); B (-5, -1); C (0, -2); D (-4, -8)

We will proceed to plotting this points on a Cartesian plane, we have:

Given:

Sol:.

The product of negative five times a number and the quantity four plus three times the number.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following expression:

We simplify as follows:

It is easier to perform the operations if you convert the mixed fractions into improper fractions.

For point 1. Make the mixed fractions improper first

Now, the multiplication of fractions is done like this

Then, you have

For point 2.

Now multiplying the improper fractions you have

Finally for point 3.

Now multiplying the improper fractions you have

To solve that question we must remember that the sum of all internal angles of a triangle is 180°, we can say that

That's a rule! it's always true.

The problem says that

Then let's use it in our equation!

Now we can solve it for Z

Therefore the measure of Z is 125°

if the angles are complementary, then the sum of the angles is 90°

so the measure of the angle 2 is 5°

Step 1

The given body fat percentage = 19.2%

The given body weight = 153 pounds

Required: To find how many pounds of his weight is made up of fat.

Step 2

Find out what 19.2% of his weight is

Hence, the pounds of his weight made up of fat to the nearest tenth = 29.4 pounds

The largest proper fraction that can be formed is 16/17

What is a fraction?

A fraction (from the Latin fractus, "broken") is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction has a numerator above a line (or before a slash like 12) and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

The largest proper fraction that can be formed is

= 1+3+12/11+6 = 16/17

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To find the GCF of 42 and 70,

List the prime factors of each numbers,

The prime factors of 42 and 70 is

42 and 70 share the common factors below

Multiply the common factors to find the GCF

The GCF of 42 and 70 will be

Hence, the GCF of 42 and 70 is 14

Answer:

4,290

Step-by-step explanation:

286.00 x 3 x 5 = 4,290

According to the solving all three parks will cover surface of 37.5 acres in total.

The imperial and US customary systems both utilize the acre as a unit of land area. An acre is approximately equal to  approximately 4,047 [tex]m^{2}[/tex].

Area covered by 3 parks can be calculated by multiplying the area of one park by three.

so,   area covered by 3 parks=3×1.25

        area covered by 3 parks=3.75

As you know multiplication is the repeated addition so we can obtain the same results by adding 1.25 three times to itself.

These three parks will cover total area of 3.75acres.

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Answer: z = 20

Explanation:

The given equation is

24z - 48 = 16z + 112

Subtracting 16z from both sides of the equation, we have

24z - 16z - 48 = 16z - 16z + 112

8z - 48 = 112

Adding 48 to both sides, we have

8z - 48 + 48 = 112 + 48

8z = 160

Dividing both sides by 8,

8z/8 = 160/8

z = 20

Hence, 2 is a zero of f(x). That is x - 2 is a factor of f(x).

So we can find

Hence,

Answer:

4(3² - 1.5) + 3(2² + 2.25)

Explanation:

First, they buy 4 tickets that cost $1.50 less than the square of $3. So, we can express that as follows:

4 x (3² - 1.5)

Then, they buy 3 bags of popcorn and a small soda that cost $2.25 more than the square of $2, so the expression for this is:

3 x (2² + 2.25)

Therefore, the numerical expression that can be used to find the total amount is the sum of the expression above:

4 x (3² - 1.5) + 3 x (2² + 2.25)

4(3² - 1.5) + 3(2² + 2.25)

So, the answer is:

4(3² - 1.5) + 3(2² + 2.25)

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity. This includes all numbers that can be written as a decimal.

Hence, 6.35 is a natural number. It is natural number, whole number, integer, and rational number.

Answer:

126

Step-by-step explanation:

Hello!

Since you are adding 5% of 120 to 120, we can simply find 105% of 120.

To do that, we can multiply 120 by the number value of the percentage.

The total price after the sales tax is 126.

Answer:

m∠5=22 °

Explanation:

In the diagram:

• Angles 4 and 90 degrees, are ,vertical angles,.

• Angles 2 and 68 degrees, are ,vertical angles,.

Since the measure of vertical angles is equal:

In the triangle:

Substitute the measures of angle 2 and 4 obtained earlier:

The measure of angle 5 is 22 degrees.

Answer:

Explanation

Given a coordinate (x, y), If this coordinate reflected over y axis, the resulting coordinate will be expressed as (-x, y). Note that only the sign of the x coordinate axis was

Given,

The speed of first plane is 450 miles per hour.

The speed of second plane is 550 miles per hour.

The total distance between plane required is 4000 miles.

As, the planes are moving in opposite direction, then distance cover by both is must be added.

Number of distance both plane becomes apart in one hour is,

The Number of hours required to complete 4000 miles is,

Hence, it will take 4 hours before they are 4,000 miles apart.

A) 15

1) Let's sketch that

According to the Bisector Theorem, the bisected line equally divides the angle. So we can write:

∠VYW≅∠WYX

And:

6r-18 = 36+36

6r -18 = 72

6r= 90

r= 15