3) Choose the prime factorization of 15.
O 11,4
O 5,5,5
O 3,5
O 2, 2, 11
05.10

Answer:

[tex]-2/5 \text{ and } 6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|3k-2|=2|k+2|[/tex]

First, distribute the 2 into the absolute value:

[tex]|3k-2|=|2k+4|[/tex]

Definition of absolute value:

[tex]3k-2=(2k+4) \text{ or } 3k-2=-(2k+4)[/tex]

Left:

[tex]3k-2=2k+4[/tex]

Subtract 2k from both sides:

[tex]k-2=4[/tex]

Add 2 to both sides:

[tex]k=6[/tex]

Right:

[tex]3k-2=-(2k+4)[/tex]

Distribute the negative:

[tex]3k-2=-2k-4[/tex]

Add 2k to both sides:

[tex]5k-2=-4[/tex]

Add 2:

[tex]5k=-2[/tex]

Divide by 5:

[tex]k=-2/5[/tex]

So, our solutions are:

[tex]-2/5 \text{ and } 6[/tex]

Answer:

w < - 4

Step-by-step explanation:

Given

3 + 3w < - 9 ( subtract 3 from both sides )

3w < - 12 ( divide both sides by 3 )

w < - 4

Answer:

At the end of three years he would have 21$ remaining

Step-by-step explanation:

10% * 30 =3$

$3*3years=$9

$30-$9=$21

Answer:

it its interest its $39 you add not subtract

Step-by-step explanation:

Answer:

Step-by-step explanation:

26 = 13* 2

Repeated addition :

26 = 13 + 13

Answer:

11.18

Step-by-step explanation:

Step 1: average : (54+36+30+28+27) / 5 = 35

Step 2: variance:

sum of the squares of (each number - average value) divided by (n-1)

[ (54-35)^2 + (36-35)^2 + (30-35)^2 + (28-35)^2 + (27-35)^2 ] / (5-1) = 125

Step 3: standard deviation = √(variance) = √125 = 5√5 (about 11.18)

Answer:

2/9

Step-by-step explanation:

Let 0.2222..... be x

10x = 2.2222222......

=> 10x - x = 2.22222..... - 0.22222....

=> 9x = 2

=> x = 2/9

The equation is y = 20(1.40)^x

where x is the number of days and y is the future amount after x days go by

The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40

-----------------------------

Plug in x = 7 to get

y = 20(1.40)^x

y = 20(1.40)^7

y = 210.827008

y = 211

We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about 211 algae.

Answer:

The correct answer is a = 17/9.

Step-by-step explanation:

To begin this problem, we should use the distributive property on the left side of the equation to get rid of the parentheses.  This means that we can multiply each term inside the parentheses by the coefficient outside the parentheses.  This is modeled below:

3a - 2 = 3/4a + 2 1/4

Next, we should change the mixed number into an improper fraction so that it is easier to work with.

3a - 2 = 3/4a + 9/4

Now, we can multiply both sides of the equation by 4.  This is not a required step, but it will get rid of the fractions on the right side of the equation, so we only have to work in full numbers.

12a - 8 = 3a + 9

The next step is to subtract 3a from both sides and add 8 to both sides to separate the variable and constant terms.

12a - 3a - 8 + 8 = 3a - 3a + 9 + 8

9a = 17

Next, we can divide both sides by 9 to get our variable a alone on the left side of the equation.

a = 17/9

Therefore, the correct answer is a = 17/9.

Answer:

The third one.

Step-by-step explanation:

Answer:

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

Step-by-step explanation:

La notación científica es una manera rápida de representar un número utilizando potencias de base diez.

Los números se escriben como:

a*10ⁿ

donde:  

Para realizar la multiplicación con notación científica, debes multiplicar las magnitudes afectadas por las potencias de 10 y, por separado, multiplicar las potencias de 10, recordando la propiedad:

En este caso:

(7.006×10⁴¹)×(5.09×10²²)=(7.006*5.09)*(10⁴¹*10²²)=35.66054*10⁴¹⁺²²= 35.66054*10⁶³

Siguiendo el formato a*10ⁿ, debes ajustar el valor de la base a de manera que sea un número real mayor que 1 y menor que 10. Entonces, se mueve la coma decimal hacia la izquierda tantos espacios hasta llegar a la derecha del primer dígito.  Y se escribe la base 10, al cual el exponente se suma la cantidad de espacios que se mueve la coma, que es un número positivo porque la coma se desplaza a la izquierda.

Entonces 35.66054*10⁶³= 3.566054*10⁶⁴

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

Answer:

It looks like the number line is going by 2's. So I would say the answer is 20.

Hope this helps!

Answer: 20

Step-by-step explanation:

Assuming for every line you go up you increase the by 2.

So if you have 8 you skip a line and you end up at 12 the next line the line in between those 2 numbers should be 10. Leaving you with a sequence of numbers and if you keep going along 12, 14, 16, 18, you arrive at 20.

Answer:

The answer is 14/25

Step-by-step explanation:

If there are a total of 25 club member, and 11 of them are male, that would make the other 14 female. So it would be 14/25.

Answer:

Step-by-step explanation:

uu89yhuhiojsijdoyjtdoyitpoyirtudyjfjfj

Answer:

here this will help

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

So, 52 charter schools and the number is 6 less than the alternative schools doubled. In order to find the number of alternative schools, we need to reverse the equation. 52+6=58. That means 58 is twice the amount of alternative schools. 58/2 equals 29, therefore the answer is 29

Answer:

Option C → Congruent segments

Step-by-step explanation:

The meaning of segment bisector is a segment which divides another segment into two equal parts.It is not necessary that the segement which is bisecting the another segment are perpendicular with one another.

So, when a segment is bisected the two segments are equal.

Equal means the two segments are congruent.

Most appropriate statement

Answer:

Congruent.

Step-by-step explanation:

Bisecting will give 2 segments of equal length.

Answer:

The price of gasoline in Paris is $6.00/gallon

Step-by-step explanation:

We are asked to find the price of gas in dollars per gallon for gasoline in Paris.

Step 1

We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.

Also we are told that, the exchange rate is 1.203 euros for one dollar

We convert the Euros to dollars

If, 1.203 euros = 1 dollar

1.91 euros = x dollars

We Cross Multiply

1.203 euros × x dollars = 1.91 euros × 1 dollar

x dollars = 1.91 euros × 1 dollar/ 1.203 euros

x dollars = 1.5876974231 dollars

Therefore, 1.203 euros = Approximately 1.59 dollars.

Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.

Step 2

We convert the from liter to gallon

In the question, we are told that:

If there are 3.785 liters in one gallon

Therefore, if

1 liter of gasoline = 1.59 dollars

3.785 liters of gasoline =

Cross Multiply

= 3.785 liters × 1.59

= 6.01815 dollars.

Approximately to the nearest whole number = 6.00 dollars.

Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon

Answer:

Because European mathematics is very heavily rooted in the mathematics of ancient Greece, and due to the need for many symbols to represent constants, variables, functions and other mathematical objects, mathematicians frequently use letters from the Greek alphabet in their work.

Answer:

22.25 inches

Step-by-step explanation:

Since in the question it is mentioned that the mitch wants to buy a poster and wants to put on a wall that is between his door of the bathroom and the closet door

Also the space between these two doors is 22.25 inches

So based on the above information, the width of the poster should be equivalent to the given space i.e. 22.25 inches and the same is to be considered

Answer:

Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster? (The poster needs to fit on the wall, so it needs to be smaller or equal to the width between the doors

Step-by-step explanation:

Answer:

C. 25

Step-by-step explanation:

4*4=16

5*5=25

24 is found in the middle of 16 and 25.

Hope this helps ;) ❤❤❤

Answer:

it reflected over y axis

the answer is the top left

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

3 + (5 + 7) = (3 + 5) + 7

3 + (12) = (8) + 7

15 = 15

Answer:

2 bowls of soup

Step-by-step explanation:

1. Make 1 1/4 an improper fraction

1 1/4 = 5/4

2. Then divide 5/4 by 5/8 (KCF - Keep the 5/4 - Change the division sign to multiplication - 'Flip' 5/8 to 8/5)

5/4 x 8/5 = 40/20

3. Simplify the fraction (divide the numerator and denominator by 20)

40/20 = 2

4. Final answer:

2 (bowls of soup)

Answer:

[tex] p = \dfrac{q - 4r}{3} [/tex]

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

[tex] p = \dfrac{q - 4r}{3} [/tex]

Answer:

[tex]p=\frac{q}{3} - \frac{4}{3}r[/tex]

Step-by-step explanation:

If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.

Given [tex]3p + 4r = q[/tex], we can do a few actions on it to isolate the variable.

Divide both sides by 3:

[tex]p + \frac{4}{3}r = \frac{q}{3}[/tex]

Subtract [tex]\frac{4}{3} r[/tex] from both sides:

[tex]p = \frac{q}{3} - \frac{4}{3}r[/tex]

Hope this helped!

Answer:

I believe its ALL REAL NUMBERS

Step-by-step explanation:

im not sure because they didnt put in a picture of the graph

Answer: -13.85

Step-by-step explanation:

Simplify.

4.6−7.28−11.17

=−13.85

Answer:

[tex]\huge \boxed{\mathrm{-13.85}}[/tex]

Step-by-step explanation:

[tex]4.6+(-7.28)-11.17[/tex]

Removing brackets.

[tex]\Rightarrow 4.6-7.28-11.17[/tex]

Combining.

[tex]\Rightarrow -2.68-11.17[/tex]

[tex]\Rightarrow -13.85[/tex]

Answer:

40 degrees clockwise

140 degrees counterclockwise

Step-by-step explanation:

The rectangle is rotated in Figure B. The angle of rotation is 40 degrees. If we rotate a rectangle at an angle of 40 degrees clockwise then wit will be at the position as shown in figure B. The 90 degrees angle is perpendicular angle. Rectangle will not reach the desired position. If we rotate the rectangle at 140 degrees counterclockwise this will be the figure B representation. The rotation to 90 degree counterclockwise is either not suitable for the desired rectangle position.

Answer:

Opposite

Step-by-step explanation:

They are complete opposites:

When you take the square root of a number, you are taking the number to the 1/2 power. For example, the square root of 9 is 3.

When you square a number, you multiply it by itself. For example, 3 squared is 9.

So, these are opposites because when doing these operations to the same number, the products will be "opposites" of each other, like the examples above.

Answer:

6.5 : 3.5

Step-by-step explanation:

So to do this sum;

First, add both 13 and 7 which is 20

 Then, 13/20 *10 = 6.5

and 7/20 *10 = 3.5

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Equal quotients correspond to equal ratios.

Answer:

the Empty set

Step-by-step explanation:

Recall that the intersection of two sets is another set that contains the elements common to both of the intersected sets.

Since sets A and C have NO element in common, then the answer is:

that the intersecting set is: the Empty set.

Answer:

the empty set

Step-by-step explanation:

this simbol ∩  is the intersection and it works as follows

[tex]X={1,2,3}\\\\Y={2,5,6,3}\\\\[/tex]

and X∩Y={2, 3}

because 2 and 3 are the only ones that are in both sets

so we have

A={a, e, i, o, u}

B={a, l, g, e, b, r}

C={m, y, t, h}

A∩C= the empty set

because A and C don't have any common subset

Answer:

Option (D)

Step-by-step explanation:

All rational and irrational numbers are real numbers.

{-2, -1, -1.8, 0, 1, 2.......}

Numbers written in the form of [tex]\frac{p}{q}[/tex] are rational numbers. They are the part of irrational numbers.

{-2.5, -2, -1, 0, 1, 2.....}

Whole numbers with negative or positive notation are integers.

{-3, -2, -1, 0, 1, 2, 3, 4......}

Positive integers are the whole numbers (including zero).

{0, 1, 2, 3, 4, .......}

All whole numbers excluding zero are the natural numbers.

{1, 2, 3, 4,........}

Irrational numbers are the part of real numbers written in the form of [tex]\frac{p}{q}[/tex].

{[tex]\sqrt{2},\sqrt{5},\pi, \sqrt{10}[/tex]}

Therefore, [tex]\sqrt{8}[/tex] comes under Irrational numbers.

Option (D) is the answer.