A dog cased a cat up a tree. The cat is 14 feet up the tree. if the dog is standing 3 feet from the tree what is the distance from the cat to the dog ?

the square root of 2 is 1.4

So √2 < 1.9

x = 25/2

this is your answer

Step 1. Simplify x + 4x + 43 to 5x + 43

5x + 2(x + 9) = 5x + 43

Step 2. Cancel 5x on both sides

2(x + 9) = 43

Step 3. Divide both side by 2

x + 9 = 43/2

Step 4. Subtract 9 from both sides

x = 43/2 - 9

Step 5. Simplify 43/2 - 9 to 25/2

x = 25/2

This would be k < 50.

This inequality states that k, the price at which Nita wants to buy the new keyboard, is less than 50 dollars.

Answer:

0 ≤ k ≤ 50

Step-by-step explanation:

Here k represents the price of the keyboard ( in dollars ),

Given,

Nita will buy the keyboard,

If the price of the keyboard is under $ 50,

That is,  [tex]k \leq 50[/tex]

Also, the price can not be negative,

⇒ [tex]0 \leq k[/tex]

Hence, the required inequality is,

[tex]0 \leq k \leq 50[/tex]

Answer:

5, 19, 24, 46, 77, 98

Step-by-step explanation:

Just write the numbers in order (I am assuming from least to greatest).  You can use a number line if necessary.

t<-4

Mariana only wears her coat when it is colder than -4 so t must be less than -4.

Answer: t < -4

Step-by-step explanation:

We want to represent temperatures colder than -4 C

In mathematical terms, we want to represent temperatures less than -4 C

t < -4

Volume of cube = ( side)^3

Side = 6 feet = 6×12 = 72 inches ( 1ft =12 inch)

Vol. = (72)^3 = 72×72×72= 373248 cubic inches

Answer:

6

Step-by-step explanation:

Answer:

The area of this tabletop is

6 ft. × 2 ft. = 12 ft.²

we know that

To calculate the ideal mechanical advantage for an inclined plane, divide the length of the incline by the height of the incline

Step 1

Find the horizontal distance of the ramp

we know that

the ramp has a slope of [tex]1:10[/tex]

so

by proportion

[tex]\frac{1}{10} \frac{height}{long} =\frac{25}{x} \frac{height}{long} \\ \\x=25*10 \\ \\ x=250\ ft[/tex]

Step 2

Find the length of the incline of the ramp

Applying the Pythagorean Theorem

[tex]incline^{2}=height^{2}+horizontal^{2}[/tex]

substitute the values

[tex]incline^{2}=25^{2}+250^{2}[/tex]

[tex]incline^{2}=63,125[/tex]

[tex]incline=251.25\ ft[/tex]

Step 3

Find the ideal mechanical advantage

[tex]Ideal\ Mechanical\ Advantage=\frac{incline}{height}[/tex]

substitute the values

[tex]Ideal\ Mechanical\ Advantage=\frac{251.25}{25}=10.05[/tex]

therefore

the answer is

the Ideal Mechanical Advantage of the ramp is [tex]10.05[/tex]

The sum of the first three prime numbers less than 12 is 2, 3, and 5.

A prime number is a positive integer having exactly two factors that are 1 and number itself. Any number that does not follow this is termed a composite number.

Given

Trisha spins a spinner. the pointer lands on three prime numbers.

She says the sum is less than 12.

The prime numbers are as follows,

2, 3, 5, 7, 11..so on

So the sum of the first three prime numbers will be

2 + 3 + 5 = 10

Hence, the sum of the first three prime numbers less than 12 is 2, 3, and 5.

More about the prime number link is given below.

https://brainly.com/question/4184435

An identical equation is a literal equation that is true for every value of the variable, e.g., the equation (x+1)2=x2+2x+1. A conditional equation (usually referred to simply as an equation) is a literal equation that is not true for all values of the variable, e.g., only the value 2 for x makes true the equation x+3=5.

A number n is less than or equal to -7 or greater than 12 is written as

[tex]n\leq -7 \; or \; n>12[/tex]

Given :

Given statement is' A number n is less than or equal to -7 or greater than 12'.

We need to convert the given statement into an inequality

n  is less than or equal to -7

[tex]n\leq -7[/tex]

or n is greater than 12

[tex]n>12[/tex]

We need to combine both the inequalities

Connect both the inequalities by   'or'  

A number n is less than or equal to -7 or greater than 12.

[tex]n\leq -7 \; or \; n>12[/tex]

Learn more : brainly.com/question/2332918

The answer to this question is 380

Answer:

380 dollar.

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = [tex]\frac{437}{1.15}[/tex]

x = 380

Initially his pay was 380 dollar.

Using the order of operation you would multiply first so

2 · 3 = 6

5 - 6 + 4 then we would subtract

5 - 6 = -1

-1 + 4 = 3 as your answer.

5−(2)(3)+4=3

Answer: 3

Step-by-step explanation: By using the order of operations,

2 x 3 = 6

5 - 6 = -1

-1 + 4 = 3

Therefore, 3 will be the correct answer for this problem! <3

P = r + t + s

Subtract t from both sides.

P - t = r + s

Subtract s from both sides.

P - t - s = r is the equation that allows you to solve for the value of r if you know all the other values.

there are 1000 mega bytes in a gig and bits is 100,000 i believe

Remark

There are 1000 bytes in 1 kilobyte

There are 1,000,000 bytes in a megabyte

There are 1,000,000,000 bytes in a Gigabyte.

There are 8 times as many bits as bytes in Gigabyte = 8 * 1,000,000,000 = 8,000,000,000 bits.

Yes the slope of a vertical line is parallel.

Parallel lines never intersect each other.

Y-axis is a vertical axis cartesian coordinate plane.

All vertical lines would be parallel to y-axis.

Because all vertical lines would have same slope, that is undefined slope.

Therefore, all vertical lines would be parallel lines.

So, we can finally say that it is possible for vertical lines to be parallel.

15 picks are orange....

Answer:

15 orange picks.

Step-by-step explanation:

Let x represent the number of orange picks.

We have been given that G.o has 3 orange picks for every two green. We are asked to find the number of orange picks, if there are 25 picks in all.

Since there are 3 orange picks for every two green. so there will be 3 orange picks for all 5 (3+2) picks.

We will use proportions to solve our given problem.

[tex]\frac{x}{25}=\frac{3}{5}[/tex]

Upon multiplying both sides of our equation by 25, we will get:

[tex]\frac{x}{25}*25=\frac{3}{5}*25[/tex]

[tex]x=3*5[/tex]

[tex]x=15[/tex]

Therefore, there are 15 orange picks for all 25 picks.

i think it is Transitive property of congruence but im not 100% sure

Answer,

A) Transitive Property of Parallel lines

Hope this helps :-)

Answer:

7.41, 7.6, 745

Step-by-step explanation:

answer: -5 [tex]\frac{1}{3}[/tex]

work:

set up as fractions.

[tex]\frac{-2}{1}  x \frac{8}{3} =[/tex]

multiply across to solve.

so, multiply -2 x 8 and 1 x 3.

you get [tex]\frac{-16}{3}[/tex]

or, -5 [tex]\frac{1}{3}[/tex]

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

Answer:

-2 * 8/3 = -16/3

Simplified, it would be: -5 1/3

Hope this helps :-)

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

m=(Y2-Y1)/(X2-X1)

(1.) m=(2-(-1))/(-2-3) = 3/-5 = -3/5

(2.) m=(-2-1)/(-3-2) = -3/-5 = 3/5  

(3.) m=Infinity (equation: x=-2)

The slopes of the lines passing through the given points are: 1. [tex]\((-2,2)\)[/tex] and [tex]\((3,-1)\)[/tex]: [tex]\(m = -\frac{3}{5}\)[/tex]. 2. [tex]\((-3,-2)\)[/tex] and [tex]\((2,1)\)[/tex]: [tex]\(m = \frac{3}{5}\)[/tex]. 3. [tex]\((-2,-2)\)[/tex] and [tex]\((-2,3)\)[/tex]: The slope is undefined (vertical line).

To calculate the slope m of a line given two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], you can use the formula:

[tex]\[m = \frac{y_2 - y_1}{x_2 - x_1}\][/tex]

Let's apply this formula to the given points:

1. For points (-2,2) and (3,-1):

[tex]\[m = \frac{-1 - 2}{3 - (-2)} = \frac{-3}{5}\][/tex]

2. For points (-3,-2) and (2,1):

[tex]\[m = \frac{1 - (-2)}{2 - (-3)} = \frac{3}{5}\][/tex]

3. For points (-2,-2) and (-2,3):

[tex]\[m = \frac{3 - (-2)}{(-2) - (-2)} = \frac{5}{0}\][/tex]

The slope for the third set of points is undefined because the denominator becomes zero, indicating a vertical line. The first two sets of points have slopes of [tex]\(-\frac{3}{5}\)[/tex] and [tex]\(\frac{3}{5}\)[/tex] respectively.

Answer:

B

Step-by-step explanation:

Answer:

The answer is B x^3

Step-by-step explanation: I just took the FLVS exam and this was the correct answer

x3 is the Greatest Common Factor of x6 and x3.

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 shares one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

The largest number of all those common factors is known as the greatest common factor (GCF). Here, 2 is the largest number found in both factors. Hence, the GCF of 4 and 6 is 2.

Learn more about Greatest Common Factor here https://brainly.com/question/219464

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It will take 2.78 gallons to fill the remainder of the tank.

13.9 * 4/5 = 11.12    - 11.12 is the amount of gas already in the tank.

13.9 - 11.12 = 2.78    - So, subtract 11.12 from 13.9 and you get your answer.

Hope this is right! ;)

[tex]x(x-5)+4(x-5)=0\\\\(x-5)(x+4)=0\iff x-5=0\ \vee\ x+4=0\\\\\boxed{x=5\ \vee\ x=-4}[/tex]