Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12

Answers

Answer 1

The property you use to get from 4(x + 3) to 4x + 12 is the distributive property.

Related Questions

PQ bisects ∠SPY. m∠SPQ =[tex] \frac{11}{2} [/tex] x-5 and m∠YPQ= 4x- [tex] \frac{5}{2} [/tex]

Solve for x and find m∠SPY

Answers

x = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5

Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5

Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5

Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°

On a number line, point S has coordinate –1.6 and point T has coordinate –6.5.

Which expressions represent the distance between point S and point T?

Choose all answers that are correct.

A. [1.6+(-6.5)]

B. [-1.6-(-6.5)]

C. [-6.5-(-1.6)]

D. [-6.5-1.6]

Answers

the asnwer correct is c

Answer:

I am 96 percent it is c

Hope this helped!!!!

35x^7+15x^5-10x^3/5x^3

Answers

So if i did all the math correct, the answer would be 514,720,226

35x⁷ + 15x⁵ - 10x³/5x³
35x⁷ + 15x⁵ - 10/5
35x⁷ + 15x⁵ - 2

What does the absolute value of a number tell you

Answers

Its the magnitude of a number regardless of if it is positive or negative.

Example: -4 = 4 and +4 = 4

Hope this helped c:

a number is chosen at random from 1 to 50. find the probability of selecting divisors of 12

Answers

Hi!

First of all, we need to know how many divisors 12 has.

12: 1, 2, 3, 4, 6, 12

Since there are 6 divisors of 12, this means the probability is 6/50.

You could just stick with 6/50 as your answer, but most probability is measured in percents so we'll convert 6/50 into a percent.

Percents are measured out of 100, so to make 6/50 into a percent we need to do some cross-multiplying.

[tex] \frac{6}{50} = \frac{x}{100} [/tex]

First, multiply 6 by 100

6 × 100 = 600

Next, divide the product by 50.

600 ÷ 50 = 12

So, your final answer is:

As a ratio:

[tex] \frac{6}{50} = \frac{12}{100} [/tex]

As a fraction:

12/100 or 6/50

As a percent:

12%

Hope this helps!

A bargain bin contains classical and rock and CDs. There are 60 CDs in the bin. Choosing a rock CD have the same number of favorable outcomes. How many rocks CDs are in the bin

Answers

Final answer:

The bin should contain 30 rock CDs, which constitutes half of the total CDs (60). This conclusion is reached by dividing the total number of CDs by 2, as the question implies an equal probability of picking a rock or classical CD.

Explanation:

The question pertains to the concept of probability in mathematics. Here, the total number of CDs is specified as 60. If choosing a rock CD has the same number of favorable outcomes, it means that half of the CDs are rock CDs (as the other half would then be classical CDs). So, to find the number of rock CDs in the bin, you simply divide the total number of CDs by 2. Here, 60 CDs divided by 2 equals 30. Thus, there are 30 rock CDs in the bin.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

the annual health insurance premium for Ms. Everett is $12,304 her employer says 70% of the premium and deducts the remainder from her paycheck Ms. Everett is paid monthly what amount is deducted from Ms. Everett paycheck for her health insurance premium.

$141.97
$307.60
$331.26
$717.73

Answers

Ms. Everett will be responsible for paying 30% of her annual premium of $12,304. (12,304 X .30)

Her portion will be $3,691.20

If you spread that out over 12 months (3,691.20/12) it comes out to $307.60

To find the amount deducted from Ms. Everett's paycheck for her health insurance premium, calculate 70% of the annual premium, subtract the employer's contribution, and divide by 12 for the monthly deduction, resulting in $307.60. The correct answer is B.

To calculate the amount deducted from Ms. Everett's paycheck for her health insurance premium, first, find 70% of the annual premium:

70% of $12,304 = 0.70 x $12,304 = $8,612.80

The remainder that Ms. Everett must pay is the annual premium minus the employer's contribution: $12,304 - $8,612.80 = $3,691.20

Since Ms. Everett is paid monthly, divide the annual amount by 12 to find the monthly deduction: $3,691.20 ÷ 12 = $307.60

Therefore, the amount deducted from Ms. Everett's paycheck for her health insurance premium is $307.60.

the following scatter plot demonstrates that there is a positive correlation between the two quantities.

Answers

I think the answer is true.

What is the output value for the following function if the input value is 3.2?

y = 2x - 1

1
2
4.2
5.4

Answers

the answer to this is 5.4

The given function is y = 2x -1 which is of the form of a straight line with the form y = mx + c

now, we have been given that the value of x is 3.2 as it says input value is 3.2

we plug in x =3.2 in the equation

y = 2x -1

y = 2*3.2 -1

y = 6.4 -1

y = 5.4

So the value of y we get is 5.4

Answer = 5.4 (option D)

Darnell rented a moving truck.The weight of the empty truck was 7,860 pounds.When Darnell filled the truck with his items,it weighed 6 tons.what was the weight in pounds of the items was Darnell placed in the truck? show the work

Answers

1 ton = 2000 lb
Multiply by 6.
6 ton = 12,000 lb

The problem statement tells you
(truck weight) + (Darnell's items) = 12,000 lb
7,860 lb + (Darnell's items) = 12,000 lb

Subtracting the weight of the truck gives
(Darnell's items) = (12,000 -7,860) lb = 4,140 lb

The weight of items Darnell placed in the truck was 4,140 lb.

the cost of $27 to produce 2 cameras $105 to produce 4 cameras whats the total cost to produce 5 cameras

Answers

For 5 cameras if you just divide 27 divide by 2 that per camera which is $13.50 then you add $105 to $13.50 and you get $118.50

Well first you need to find out the costs of one camera than you multiply that by 5

rate of 33.00 for 11 pounds of meat

Answers

the answer is 3

hope this helps :)

it would be 3 because if u divide that the answer would be 3

which values are outliers ?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

select all correct answers

Answers

5.8 0.8 5.9 6.1 and 10.9 are all correct answers.

Hope this Helped!

;D
:D
:)
;)
XD
:'D

Answer:

0.8 and 1.1 are outliers of the given data set.

Step-by-step explanation:

The given data set is

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Arrange the data set in ascending order

0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9

Divide the data in four equal parts.

(0.8, 1.1), 4.9,( 5.2, 5.8), 5.9,( 6.1, 6.1), 7.4, (10.2, 10.9)

From the above division we get,

[tex]Q_1=4.9[/tex]

[tex]Median=5.9[/tex]

[tex]Q_3=7.4[/tex]

The interquartile range of the data is

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=7.4-4.9=2.5[/tex]

If all the data elements lies in the interval [Q₁-1.5(IQR),Q_3+1.5(IQR)], then the data set has no outliers.

[tex][Q_1-1.5(IQR),Q_3-1.5(IQR)]=[4.9-1.5(2.5),7.4-1.5(2.5)]=[1.15,11.15][/tex]

Since all the elements lie in the interval [1.15,11.15] except 0.8 and 1.1, therefore 0.8 and 1.1 are outliers.

I need help with the first three please!!!

Answers

Number 1is nine days for the rest do you have formulas

Which graph represents the given inequality?
y > 4x - 2

Answers

In each graph, take a any point on either side and substitute in the inequality. Then check if it satisfies the inequality.
For graph 1, take a point (0,0).
substituting it we get,

y>4x-2 ⇒ 0>-2. This is true yet the region where (0,0) is, is shaded. So, wrong graph.

For graph 2, take point (0,0).
y>4x-2 ⇒ 0>-2. This is true but againt the region is shaded. so, wrong graph.

For graph 3, take point (0,0)
y>4x-2 ⇒ 0>-2. This is true. Since the point (0,0) is in this region, which is not shaded, it means that this is the required region. The correct graph is graph 3.

how to solve -6<-2x<14

Answers

Hey there! :)

-6 < -2x < 14

We're trying to solve for x. To solve for x, we must isolate x.

So, let's divide everything by -2!

-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2

**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **

3 > x > -7

So, our answer is : → 3 > x > -7

~Hope I helped!~

helppppppppppppppppppppppppp

Answers

Set the two expressions equal to each other.

7x + 3 = 9x

Simplify, isolate the x, subtract 7x from both sides

7x (-7x) + 3 = 9x (-7x)
3 = 2x

Set the equation = 0, subtract 3 from both sides

3 (-3) = 2x (-3)

0 = 2x - 3

2x - 3, or D, should be your answer

hope this helps

Which characteristics best describe an obtuse isosceles triangle? I. One angle is greater than 90°. II. All side lengths are equal. III. Two sides meet at a 90° angle. IV. Two sides are equal in length. A. I and IV B. II and III C. I and II D. III and IV

Answers

An obtuse triangle is a triangle that has an angle greater than 90 degrees, so 1. One angle is greater than 90 degrees is correct.

An obtuse isosceles triangle is defined as a three-sides triangle shape that has one angle (out of three angles) more than 90 degrees and whose two sides are always congruent that includes obtuse angle in between. So it will follow :-

⇒ Obtuse means "one angle is greater than 90 degrees".

⇒ Isosceles means "Two sides are equal in length".

So, option A is correct, i.e. statements I and IV.

Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.

Answers

the answer is 12
[tex] {13}^{2} = {5}^{2} + {b}^{2} \\ {b}^{2} = {13}^{2} - {5}^{2} \\ b {}^{2} = 169 - 25 = 144 [/tex]
[tex]b = \sqrt{144} = 12[/tex]

good luck

Find the difference. express your answer in simplest form. (2s/s^2-4s+4) - (4/s^2-4s+4)

Answers

To find the difference, we are going to destroy the parenthesis first, and then, we are going to perform the operations. Remember that to destroy a parenthesis preceded by a negative sign (-), you should change the signs of the factors inside the parenthesis:
[tex] \frac{2s}{s^2-4s+4} -( \frac{4}{s^2-4s+4} )[/tex]
[tex]\frac{2s}{s^2-4s+4} -\frac{4}{s^2-4s+4}= \frac{2s-4}{s^2-4s+4} [/tex]

Now we can factor both numerator and denominator and simplify:
[tex]\frac{2s-4}{s^2-4s+4} = \frac{2(s-2)}{(s-2)^2} = \frac{2}{s-2} [/tex]

We can conclude that the difference in simplest form is: [tex] \frac{2}{s-2} [/tex]

To get started, combine -4s+4 with 4s - 4. Result: 0. That leaves

2s 4 2(s+2)
------ - ------- = ------------
s^2 s^2 s^2

In 1980 the population in Detroit, Michigan was approximately 1, 200, 000. If the population decreased at an annual rate of 14.6% over the next decade What was the population of Detroit in 1990, 10 years later

Answers

1,200,000X.164=175,200
1,200,000-175,200=1,024,800

Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?

x = 4, y = 2

x = 5, y = 6

x = 4, y = 3

x = 3, y = 5

Answers

this is your answer x=4, y=2

x=4, y=2. 3 multiplied by 4 equals 12, and then 4 times 2 equals 8. When you add 12 and 8 together you get 20, and plus the given 6 equals 26.

the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days

Answers

The equation would be y=12000(2)ˣ.

This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by. In this problem, a = 12000 and b=2, since it doubles each time.

Answer:

[tex]Y = 12,000 \cdot (2)^X[/tex]

Step-by-step explanation:

The exponential function is given by:

[tex]y =a \cdot b^x[/tex]

where,

a is the initial values and b is the growth factor.

As per the statement:

The initial number of bacteria in a culture is 12,000.

⇒Number of bacteria initially(a) = 12,000

It is also given that the culture doubles each day.

⇒ growth factor [tex]b= 2[/tex]

We have to find the exponential function to model the population Y of bacteria after X days.

By definition of exponential function:

[tex]Y = 12,000 \cdot (2)^X[/tex]

where, x represents the days and Y is the population after X days.

Therefore, an exponential function to model the population is,

[tex]Y = 12,000 \cdot (2)^X[/tex]

Please give accurate answer. I will give Brainliest. 20 points for answer.
You have to travel 3/4 mile to get home. Each city block is 1/20 mile long. How many blocks do you have to travel?

Answers

you would travel 15 blocks

a store sign reads take 90% off the original price when you take an additional 15% off the sale price which is 75% of the original price. Is the store sign correct

Answers

If you did 75%+15% you would get 90%, so yes the sign is correct.
Hope This Helps!
~Cupkake

What is radius???????

Answers

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.

Solve for the radius.

Plug the area into the formula.

Divide the area by.

Take the square root.

PLEASE HELP!! surface area of composite figures..

Answers

Cut the shape into shapes you know the area of and do the formula this helps

Cindy's job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. What is the best prediction of the total numbers of printers in this group that will be defective?

Answers

46% printers are defective = 106 printers defective

Using polar coordinates to find area inside a rectangle.
The vertices are (0,0), (0,4), (2,4), (2,0).
This is a calculus level question, please help :(

Answers

Use the vertices to find the length and width of the rectangle:

Length = (0,0) (0,4) = 0-0 = 0, 4-0 = 4

Length = 4

Width = (0,0) (2,0) = 2-0 = 2, 0-0 = 0 = 2

Width = 0

Area = 4 x 2 = 8 square units

I need help ASAP

The figure of a rocket launched for space exploration is shown below.
Find the volume of the rocket to the nearest hundredth.

A) 90.36 cubic meters

B) 98.91 cubic meters

C) 80.07 cubic meters

Answers

It would be B.) 98.91 cubic meters

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