Name the property of real numbers illustrated by the equation -3(x + 4) = -3x -12

Answers

Answer 1

Answer:

Distributive Property

Step-by-step explanation:

They distributed the -3 to x and 4. In this case, to distribute the -3, you multiply it to each term.

-3 × x = -3x.

-3 × 4 = -12.

-3x - 12

Answer 2

Answer:

Do you have the rest of the answers for the test??? I'm taking it right now

Step-by-step explanation:


Related Questions

The sandbox at a local playground is shaped like a square. The length of one side of the sandbox is 8 feet. What is the area of the sandbox, written as an expression with exponents? 24 ft² 28 ft² 8² ft² 88 ft²

Answers

Answer:

8^2 ft^2

Step-by-step explanation:

8^2= 64, and to find area it lengthxwidth.

so 8x8=64

Answer:8^2 ft^2

Step-by-step explanation:

Students at East Central High School earned $535 selling candles. They want to make $2570 for a club trip. What percent of their goal has been reached?

Answers

Answer:

21%

Step-by-step explanation:

[tex]\frac{100}{y}x=\frac{2570}{535}[/tex]

Solving for x

x=535*100/2570              

x≈21%

Final answer:

The students at East Central High School have reached approximately 20.82% of their goal of earning $2570 by selling candles. This is calculated by dividing what they've earned by their goal and then converting the result to a percentage.

Explanation:

The subject of this question involves understanding how to calculate percentages, particularly when dealing with financial goals. To calculate the percentage of their goal the students at East Central High School have reached, we would divide the amount they have earned by the total goal amount and then multiply by 100:

Step 1: Calculate the ratio of the amount earned to the total amount: $[tex]535 / $2570 = 0.20817120622568093[/tex]Step 2: Convert this ratio to a percentage by multiplying by 100: [tex]0.20817120622568093 * 100 = 20.817120622568093%[/tex]

So, the students have reached approximately 20.82% of their goal.

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A car can travel 126 kilometers on 14 liters of gasoline. How far can it travel on 24 liters?

Answers

Answer:

216 kilometers

Step-by-step explanation:

126/14 = 9  (this means 9 kilometers per 1 liter)

9 x 24 = 216 kilometers


(-ab+2a-9)-(-5ab-2)
Find the difference

Answers

First distribute the negative. Then combine like terms. The answer should be 4ab+2a-7

Suzy earns 7.50 per hour. she worked 32.5 hours last week. what was the amount of her check?

Answers

Answer:

You would have to do  

7.50 x 32.5 which would equal

243.75

Please mark brainlist if helped! c:



What we know:

- Suzy earns 7.50$ per hour.

- Suzy worked 32.5 hour's last week.

What we need to find:

- We need to find the amount of money she had on her check.

What we need to do to solve this problem:

To solve this problem we need to multiple the amount of money she earned per hour and how many hours she worked. 7.50×32.5

7.50×32.5=243.75

That being said, your answer is: 243.75

I hope this helps! :)

-LizzyIsTheQueen



Carrie is prescribe 600 mg of a medication that the keys at a rate of 40% board day D, according to the equation m=600(0.6)d, where m is the amount of medication remaining in his body. You’re welcome to say medication five days earlier. The number of milligrams of medication and no wells body is about what percentage of the number of milligrams and Carrie’s body anytime after they both have taken the medication

Answers

Answer:

7.8%

Step-by-step explanation:

can I get Brainliest???

The percentage of the number of milligrams and Carrie’s body anytime after they both have taken the medication is less than 100%.

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

We are given that;

Carrie is prescribed 600 mg of a medication.

The medication decays at a rate of 40% per day.

Now,

Let's first find the amount of medication remaining in Carrie's body after taking the medication for 5 days:

m = 600(0.6)^5

m ≈ 86.18 mg

To find the percentage of the amount of medication in Carrie's body after 5 days compared to anytime after they both have taken the medication, we need to find the amount of medication in Carrie's body at any given time, t. We can use the same formula and substitute t for d:

m = 600(0.6)^t

Now, we can calculate the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication:

(m after 5 days / m at any time) x 100%

= (86.18 / 600(0.6)^t) x 100%

= (0.1436 / 0.6^t) x 100%

Since we don't know the exact value of t, we can't simplify this expression any further. However, we can make some observations:

As t increases, the denominator (0.6^t) gets smaller, so the fraction as a whole gets larger.

When t is very large, the fraction approaches 0, which means that the amount of medication in Carrie's body approaches 0, or she has eliminated all the medication from her body.

Therefore, we can conclude that the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication will be less than 100%,

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Given that f(x)=7x+7 and g(x)= 6x^2-2x+3 find (f+g)(x)

Answers

Answer:

(f+g)(x) = 6x^2 +5x+10

Step-by-step explanation:

f(x)=7x+7 and g(x)= 6x^2-2x+3

find (f+g)(x)

We will add the 2 functions.  I like to line them up vertically.

 f(x)=          7x+7

g(x)= 6x^2-2x+3

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

(f+g)(x) = 6x^2 +5x+10

In the first week students at RSM solved 25 percent of their monthly quota of problems. In the second week, they solved 110 percent of the number of problems solved in the first week. In the third week they solved 60 percent of the number of problems they had solved in the first two weeks and, in the fourth week, they solved the remaining 320 problems. How many problems did students solve in the four-week month?

Answers

Answer:

2,000 problems

Step-by-step explanation:

We know the students solved the following amount of problems:

Week 1 - 25% of the month

Week 2 - 110% of the first week--> this means 25(1.10)=27.5%

Week 3 - 60% of the first two week--> this means 0.6(25+26.5)=31.5%

Week 4 - 320 problems --> this is 16% of the quota since 100-25-27.5-31.5=16%

So we know that 320 is 16%. We can set up a proportion to find the total amount.

[tex]\frac{16}{100} =\frac{320}{y}[/tex]

We solve by cross multiplying by multiplying numerator and denominator on opposite fractions.

[tex]16(y)=100(320)\\16y=32000\\\frac{16y}{16}=\frac{32000}{16}\\  y=2,000[/tex]

The quota for the month is 2,000 problems.


Solve the equation for x by graphing -4^x+1=3x-4 A. X=-1.75 B. X=0 C. X=-0.75 D. X=0.75

Answers

D. X=0.75

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


Answer:

Option D - 0.75

Step-by-step explanation:

Given : Equation [tex]-4^x+1=3x-4[/tex]

To find : Solve the equation for x by graphing ?

Solution :

Let the equation,

[tex]y=-4^x+1[/tex] ......(1)

[tex]y=3x-4[/tex] ......(2)

Plot the two equations by graphing tool.

Equation (1) [tex]y=-4^x+1[/tex] with red curve passing through origin (0,0).

Equation (2) [tex]y=3x-4[/tex] with blue line passing through origin (0,-4) and (1.33,0)

The intersection point of both the equation is (0.739,-1.784).

So, The solution of x value is approximately x=0.75.

Therefore, Option D is correct.

Refer the attached figure below.

a boat can travel 176 kilometers on 88 liters of gasoline. How much gasoline will it need to go 250 kilometers

Answers

It would need 125 litters of gasoline

Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0

H(-3) =
H(-2)=
H(0)=

Answers

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

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

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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

[tex]h(x)=\dfrac{1}{3}|x-6|+4[/tex]

Put the values of x to the equation of the function h(x):

[tex]x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6[/tex]


Solve for x. −2x + 3b > 5 x > the quantity 3 times b minus 5 all over 2 x > the quantity 5 minus 3 times b all over negative 2 x < the quantity 3 times b plus 5 all over 2 x < the quantity negative 3 times b plus 5 all over negative 2

Answers

Answer:

x < the quantity negative 3 times b plus 5 all over negative 2

Step-by-step explanation:

−2x + 3b > 5

Subtract 3b from both side.

-2x +3b -3b > 5-3b

-2x > 5-3b

Divide by -2 on both sides, remember to flip the inequality since we are dividing by a negative

-2x/-2 < 5/-2 - 3b/-2

x < (5-3b)/-2

x< (-3b+5)/-2

Re write in words.

x is less than the quantity  negative 3 times b plus 5  all over  negative 2

Team infinite dimensions gathered 30 pounds of wood in 3/5 hour. What is their speed in pounds per hour?

Answers

Answer:

The speed is 50 pounds per hour .

Step-by-step explanation:

As given

Team infinite dimensions gathered 30 pounds of wood in [tex]\frac{3}{5}[/tex] hour.

[tex]Speed = \frac{Total\ pound\ of\ woods}{Total\ time}[/tex]

[tex]Speed = \frac{30}{\frac{3}{5}}[/tex]

[tex]Speed = \frac{30\times 5}{3}[/tex]

[tex]Speed =50\ pound\ per\ hour[/tex]

Therefore the speed is 50 pounds per hour .

In a certain​ chemical, the ratio of zinc to copper is 3 to 13. A jar of the chemical contains 286 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer:

The jar of chermical contains 66g of Zinc.

Step-by-step explanation:

The ratio of Zinc to Copper is 3 : 13

A jar of the chemical contains 286g of copper.

Let the mass of the Zinc be xg.

[tex]\frac{13}{3}[/tex] = [tex]\frac{286}{x}[/tex]

x = [tex]\frac{3 × 286}{13}[/tex] = 66g

So the jar of chemical contains 66g of Zinc.

To determine the grams of zinc in a jar of a chemical with a zinc to copper ratio of 3 to 13 and 286 grams of copper present, calculate the value of one part in the ratio (286 grams / 13) and multiply by the number of parts of zinc (3), resulting in 66 grams of zinc.

The student wants to find out how many grams of zinc are in a jar of chemical, given that the ratio of zinc to copper is 3 to 13 and there are 286 grams of copper. To solve this, we can use the concept of ratios. The ratio of zinc to copper is 3:13, which means for every 3 parts of zinc, there are 13 parts of copper.

First, let's find the value of one 'part' in the ratio by dividing the total amount of copper (286 grams) by 13 parts:

1 part = 286 grams / 13 = 22 grams

Now, to find the amount of zinc, we multiple the number of zinc parts (3) by the weight of one part (22 grams):

Amount of zinc = 3 parts / 22 grams per part = 66 grams

So, the jar contains 66 grams of zinc.

PLEASE HELP ME ASAP :)
Triangle CAT is located at C (-5, 2), A (-4, 4), T (-1, 2).  Find the coordinates of its image after a dilation with a scale factor of 4.

Answers

Answer:

C = 4(-5, 2) (-20, 8)

A = 4(-4, 4) (-16, 16)

T = 4(-1, 2) (-4, 8)


I hope this helps


Step-by-step explanation:


Determine the slope from the table

Answers

Answer:

Your answer is B 2/5

Step-by-step explanation:

y2-y1/x2-x1

[tex]\frac{-5--3}{-7--2} = \frac{-2}{-5}\\[/tex]

the sum of a number and 6 is greater than or equal to -4

Answers

Answer:

x + 6 >= -4

x can be from -10 or anything greater.

Step-by-step explanation:

-4 - 6 = -10

if you do any number less than -10 it won't work, but anything greater does

What is the coefficient of y in the expression? 4x + 8y + 12z

Answers

Answer:

8

Step-by-step explanation:

A coefficient is the number a variable is multiplied by, so we can see that 8 is being multiplied by y. The answer is 8.

Hope this helps!

Answer

I am Maddie,

Step-by-step explanation:

I had this question on my CLASS and it was correct, I apologize if I got you wrong.

Which ordered pair is a solution to the system of inequalities?

Answers

A! Because 9 is greater than 2 and 9 is greater than 7






Answer:

its A. (1,9) i know because i just did this apex test

Step-by-step explanation:

Geometry; Inscribed Angles.Find the value of y. Please explain!

Answers

check the picture below.

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = [tex]\frac{66}{2}=33[/tex]

Similarly,  y = [tex]\frac{96}{2}=48[/tex]

y = 48° will be the answer.

According to the fundamental theorem of algebra, how many zeros does the polynomial below have?

Answers

Answer:

2? i've never learned this but i just tried to teach myself lol sorry if its wrong i tried

Step-by-step explanation:


Answer:

The given polynomial has 4 roots.

( may not be all distinct)

Step-by-step explanation:

Fundamental Theorem of Algebra --

It states that every non-constant polynomial of degree n has exactly n roots counting  multiplicity.

i.e. the roots may repeat.

i.e. the  number of roots of a non-constant polynomial of degree n has atmost n distinct roots.

We are given a polynomial as:

[tex]f(x)=x^4+5x^3+10x^2+20x+24[/tex]

Clearly the polynomial is of degree 4.

This means that the roots of this polynomial will be: 4

( not all  roots may be distinct)

The cost of a candy bar in a vending machine is $0.95. The cost of a bottle of water in the same machine is $1.25. Jamie has $25.00 to spend on candy bars and bottles of water for her friends. She must buy nine candy bars. If b represents the number of bottles of water, which inequality represents all the possible values of b?

Answers

Answer:

The answer is $16.45

Step-by-step explanation:First, you have to multiply $0.95 x 9 = $8.55

Then, you have to subtract $25.00-$8.55 = $16.45


Please mark this brainliest and I will be glad to help anytime


$49 to $149/ show the work please

Answers

Final answer:

The question appears to be related to a simple subtraction of financial figures, specifically finding the difference between $49 and $149, which is $100. Without further context, it's unclear what specific mathematical operation or application is being asked for.

Explanation:

The question $49 to $149 does not provide enough context to determine a precise methodology or principle to apply. Looking at the provided references, these figures appear to represent various financial ranges which might be associated with tax brackets, salary bands, or other financial calculations. However, without additional context, it is impossible to provide a step-by-step explanation or to perform a specific calculation.

If the intent is to calculate the difference between $49 and $149, the work is simply:

Subtract the smaller number from the larger number: $149 - $49.Calculate the result which is $100.

This yields the difference between the two amounts.

Adam's car traveled 465.3 miles on 18.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveied on each gallon of gas?

Answers

Answer:

25.15 miles per gallon

Step-by-step explanation: The equation to find the number of miles traveld per galon would be to divide the number of miles traveled by the number of gallons used.


Could someone please help me solve this?

Answers

you just add both expressions so you get

2x^2+7x-5-8x^2-3x+5 then you combine like terms

-6x^2+4x
Add the two polynomials together. Add like terms together
(2-8)x^2 + (7-3)x +(-5+5)
Simplify to get the answer
-6x^2 + 4x

Which is true of the multiples of a prime number?
A prime number has only one multiple: itself.
A prime number has two multiples: 1 and itself.
A prime number has exactly three multiples.
A prime number has an infinite number of multiples.

Answers

Answer:

A prime number has two multiples: 1 and itself.

Step-by-step explanation:

Hope That Helps!


A. prime number has only one multiple: itself.

Prime numbers are numbers greater than 1. They only have 2 factors, 1 and the number itself. This means these numbers can not be divided by any number other than 1 and the number itself without leaving the remainder.

What are prime numbers and explain why they are?

Every number greater than one can be divided by at least 1 prime number.Every even positive integer greater than 2 can be expressed as the sum of 2 primes.Except 2, all other prime numbers are odd. In other words, we can say that 2 is the only even prime number.2 prime numbers are always coprime to each other.

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someone deposits rs 40000 in a bank at the rate of 5%p.a. if he hsa to pay 5% of interest as income tax, how much will he get after 4 years

Answers

If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.

How the amount is determined:

Principal amount (P) = Rs. 40000

Rate of interest (R) = 5% per annum

Time period (T) = 4 years

We can calculate the simple interest using the formula:

[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]

Plugging in the values:

[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]

= Rs 8000

Total Income after 4 years = Principal + Interest

Total Income = 40000 + 8000 = Rs 48000

Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned

Tax to Pay = 5% of Rs 8000 = Rs 400

Final Amount Received after Tax = Total Income - Tax to Pay

= 48000 - 400

= Rs 47600

Complete Question:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a.  If he has to pay 5% of interest as income tax, how much will he get after 4 years?

The pattern of the spread of the virus will be 1,2,4,8 identify the next three numbers in this pattern

Answers

Answer:

16 32 64

Step-by-step explanation:

Remark

Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.

Givens

t1  = 1t2 = 2t3 = 4t4 = 8

Solution

r = t4/t3 = 8/4

r = 2

a = 1

Formula

tn= a*r^(n - 1)t5 = 1*2^(5 - 1)t5 = 2^4t5 = 16

Answer

By similar methods the next 2 items will be 32 and 64.

Note

t_100 = 1 * r^(100 - 1)t_100 = 2 ^99 = 633825300114114700748351602688A formula is the only way to go when the numbers are this big.
Final answer:

The next three numbers in the given pattern (1,2,4,8) are 16, 32, and 64, obtained by doubling the last known number in the series for each subsequent term.

Explanation:

This question is related to a mathematical pattern in which each number is being doubled to get the next one. The series given is 1, 2, 4, 8. Here, you can notice that each successive number is two times the prior number. So, to find the next three numbers, you'd multiply the last given number by 2.

When you multiply 8 (the last number in the given series) by 2, you get 16. That's your first number. Continuing this pattern:

Multiply 16 by 2 to get 32. This is your second number.Then, multiply 32 by 2 to get 64, which is your third number.

So, the next three numbers in this pattern would be 16, 32, and 64.

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Geometry/Algebra
Find the missing angle measure

Answers

Answer:

∠2 = 115.5°

Step-by-step explanation:

128.5° is an exterior angle of the triangle

The exterior angle equals the sum of the 2 opposite interior angles, hence

∠2 + 13 = 128.5 ( subtract 13 from both sides )

∠2 = 115.5°


1/2 x 2 1/2 as a fraction in simplest form plz help fast

Answers

5/4. first, convert the mixed fraction into an improper fraction to get 5/2. multiply the 5/2 to the 1/2. multiplying the numerators gets you 5. the denominators being multiplied gets you 4. 5 is the new numerator, 4 is the new denominator. 5/4 is in simplest form
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