Linear Equations: Mastery Test
Select the correct answer.
Which property of equality was used to solve this equation?
X-5=-14
X-5+5=14+5
X=-9b
A addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality

Answers

Answer 1

The  property of equality was used to solve this equation is addition property of equality

Addition property of equality

The property states that the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

Given the expression

X-5=-14

Add 5 to both sides to have;

x-5 + 5 = -14 + 5

x = -14 + 4

x = -9

Hence the  property of equality was used to solve this equation is addition property of equality

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Related Questions

PLS ANSWER. The questions is attached. Dont' put like I dont' know the answer if u don't know don't answer pls.

Answers

Answer:

x = 2.4

Step-by-step explanation:

see image for explanation.

Hope it helps

Which operations can be applied to a matrix in the process of Gaussian elimination?

a. replacing a row with the absolute values of that row
b. replacing a row with three times another row
c. replacing a row with twice that row
d. replacing a row with the sum of that row and another row.
e. swapping rows


(multiple answer are correct)​

Answers

The following operations can be applied to a matrix during the Gauss Jordan elimination process:

(C) Replacing a row with twice the number of rows.(D) Substituting a row for the sum of that row and another row.(E) Row swapping.

What is Gauss Jordan's elimination?Gaussian elimination, also known as row reduction in mathematics, is a method for solving systems of linear equations. It is made up of a series of operations performed on the corresponding coefficient matrix. This method can also be used to compute a matrix's rank, determinant of a square matrix, and inverse of an invertible matrix. The method is named after Carl Friedrich Gauss (1777-1855), though some special cases of the method were known to Chinese mathematicians as early as 179 AD, albeit without proof.

During the Gauss Jordan elimination process, the following operations can be applied to a matrix:

Replacing a row with twice the number of rowsSubstituting a row for the sum of that row and another row.Row swapping

Therefore, the following operations can be applied to a matrix during the Gauss Jordan elimination process:

(C) Replacing a row with twice the number of rows.(D) Substituting a row for the sum of that row and another row.(E) Row swapping.

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What is the answer to 10 2/3 x 5 3/8

Answers

Answer:

57.3

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]

[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]

[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]

[tex]\mathsf{= \dfrac{172}{3}}[/tex]

[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Tina spent $182 on 13 pamphlet sets for her beauty shop. How much does each pamphlet set cost?

Answers

Answer:

14 dollars

Step-by-step explanation:

182 divided by 13 is 14 dollars

may starclan light ur path

A store had apples on sale for ​$1.10 a pound. Mike spent ​$5.94 on apples. How many pounds did ​buy?

Answers

Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

eight plus the quotient of a number and 3 is 75

Answers

8 + x / 3 = 75

Minus 8 on both sides

x / 3 = 67

Multiply by 3 on both sides.

x = 201

KNKWMWMQKWMQMQKQMMQ HELP ASSAPPP PLEASEEEE

Answers

(-1, 1)

the solution is just where it intersects.

Using the associative property, rewrite the following expression. You do NOT need to simplify it. -3y - 6y + 10y

Answers

Another form of the given expression using associative property is 10y + (-3y -6y)

Associative property

Associative property shows that if two or more property are added or multiplied, the result remains the same. For instance;

a +(b + c) = (a+b) + c

Given the expression below;

-3y - 6y + 10y

Group to have

(-3y - 6y) + 10y

10y - 3y - 6y

This can also be grouped as;

(10y - 3y) - 6y = 10y + (-3y -6y)

Hence another form of the given expression using associative property is 10y + (-3y -6y)

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when simplifying rational expressions, the first step is to ______ the numerator and denominator

Answers

Answer:

DETERMINE COMMON FACTORS

Step-by-step explanation:

determine common factors

You bought f pounds of fruit today. Today, you bought 3 times as many pounds of fruit as you bought yesterday. Which expression correctly shows how many pounds of fruit you bought yesterday? is it

f + 3

3f

3 ÷ f

f ÷ 3
or
none of the above

Answers

The answer would be 3f.

Answer is 3f in the question

Q. You work for a food wholesaler that provides ingredients for restaurants and other food
producers. A large-scale bakery needs 72 pounds of raisins. The raisins come in 12-ounce
boxes. A total of 24 boxes will fit in a case. How many cases of raisins should you ship to
them?

Answers

The cases that would be shipped is 4.

How many cases would be shipped?

The first step is to convert pounds to ounce

1 pound = 16 ounce

16 x 72 = 1152 ounces

The next step is to determine how many boxes would be needed.

Boxes needed = 1152 / 12 = 96 boxes

The third step is to determine the number of cases that would be shipped.

Cases that would be shipped = 96 /24 = 4

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An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.
Find the probability that the sum of the 95 values is less than 7,450. (Round your answer to 4 decimal places)

Answers

The probability that the sum of the 95 values is less than 7450 is 0.1002

Given Data :

An unknown distribution has a

Mean (μ) = 80

Standard Deviation (σ) = 12

Sample Size (n) = 95

is drawn from the population.

∑X ≈ N (95 * 80, [tex]\sqrt{95}[/tex] * 12)

= N (7600, 116.96)

The Probability that the sum of the 95 values is less than 7450 is given as follows :

P(∑x < 7450) = P [(∑x - μ) / s] < [(7450 - 7600) / 116.96

= P(Z < -1.282) = 0.1 (From Z table)

Hence, the probability that the sum of the 95 values is less than 7450 is 0.1002

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state the maximum number of points at which the pair of graphs might intersect.
a line and a circle

Answers

The maximum number of point of intersection of a line and circle is two

Circle:

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:

[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.

Line:

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Line and Circle can intersect at two points maximum

Therefore,The maximum number of point of intersection of a line and circle is two

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what is? 9x-x-2=3(2x-3)+ax

Answers

The answer is 2: so pick that one ne

Help me! Find the measure of the largest angle.

Answers

Check out the attached photo

(3, 4, 5, ...} is finite or infinite

Answers

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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two angles are complementary. The measure of the larger angle is 6 degrees less than 3 times the measure of the smaller angle. The measure of the smaller angle is _______ degrees and the measure of the larger angle is______ degrees

Answers

Step-by-step explanation:

complementary means together they are 90°.

x = 3y - 6

x + y = 90

(3y - 6) + y = 90

4y - 6 = 90

4y = 96

y (the smaller angle) = 24°

x (the larger angle) = 3y - 6 = 3×24 - 6 = 72 - 6 = 66°

if a number is divided by an d minused from an another number ​

Answers

This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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PLEASE HELP!!!
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180° In a triangle, the measures of the three angles are x, x + 7, and x - 13. What is the measure of each angle?​

Answers

Answer:

The sides are 62, 69, and 49

Step-by-step explanation:

x + (x + 7) + (x - 13) = 180

3x - 6 = 180

3x = 186

x = 62

Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock 30%. What was the list price of the clock?

Answers

The list price of the clock is $375.50.

How to calculate the cost

From the information, Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock 30%.

The new price will be:

= $725 + (30% × $725)

= $275 + $82.5

= $357.5

Therefore, the list price of the clock is $375.50.

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Okay so for context there's 4 pounds of pears 3 pounds of grapes 6 pounds of pineapple and 3 pounds of oranges
OKAY NOW FOR THE ACTUAL QUESTION
Jorge wants to bring 2 pounds total of this fruit salad to a potluck dinner, how much of each ingredient should he use?

Answers

The total amount of each ingredient are as follows;

Pears = 1/2 pound

Grapes = 3/8 pounds

Pineapple = 3/4 pounds

Oranges = 3/8 pounds

How to Solve Ratio Problems?

We are given the amounts of fruits as;

4 pounds of pears

3 pounds of grapes

6 pounds of pineapple

3 pounds of oranges

Now, total pounds of fruits = 4 + 3 + 6 + 3 = 16 fruits

Ratio of pears = 4/16 = 1/4

Ratio of grapes = 3/16

Ratio of pineapple = 6/16 = 3/8

Ratio of oranges = 3/16

Thus. amount of each ingredient required are;

Pears = 1/4 * 2 = 1/2 pound

Grapes = 3/16 * 2 = 3/8 pounds

Pineapple = 3/8 * 2 = 3/4 pounds

Oranges = 3/16 * 2 = 3/8 pounds

Thus, the total amount of each ingredient are as follows;

Pears = 1/4 * 2 = 1/2 pound

Grapes = 3/16 * 2 = 3/8 pounds

Pineapple = 3/8 * 2 = 3/4 pounds

Oranges = 3/16 * 2 = 3/8 pounds

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The length of a rectangular garden is 5 m greater than the width. The area of the garden is 66 m² Find the dimensions of the garden.

Answers

L = 10 and w= 5 are  the dimensions of the rectangular garden.

What is a rectangle, exactly?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Let the width of the garden be a

Length of the garden = a + 5

Area = l * w

66 = ( a+ 5 ) * a

66 =  a² + 5a

a² + 5a -66 = 0

a² + 11a - 5a - 66 = 0

a( a + 11 ) -5 ( a + 11) = 0

( a + 11 ) ( a - 5) = 0

so  a + 11 = 0 ⇒  a = -11

      a - 5 = 0 ⇒ a = 5

Width cannot be negative.

l = a + 5 = 10

w = 5

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A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running away at a speed of 40 feet per second. What should the fox's speed be to catch up to the rabbit.

Answers

The speed of the fox should be 35/t + 40 to catch up to the rabbit.

What is speed?

Speed is the ratio of distance and time.

Speed = Distance / Time

We have,

The distance between the rabbit and fox = 35 feets

The rabbit's speed = 40 feet per second

Let fox's speed = F

Let the time taken to catch up to the rabbit = t

Now,

Rabbit's distance from fox after time t will be:

= 35 + (40 × t)

= 35 + 40t

Fox's distance after time t:

= F × t

Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.

35+40t = Ft

Dividing both sides by t.

35/t + 40 = F

Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.

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It is so hot that Craig's cousins ask him to make creamy mango smoothies. First, Craig blends 5 cups of mango, 1 quart of yogurt, and 3 cups of crushed ice. Then, he divides the smoothie evenly among 6 large glasses. How many cups of smoothie does he put in each glass?

Answers

Answer:

2 Cups

Step-by-step explanation:

First of all you need to add all of the ingredients together, which would total 12 cups of smoothie. Also important to add is that 1 quart is 4 cups. Then you have 12/6 which equals 2!

The cups of smoothie in each glass is 2 cups.

How many cups of smoothie is in each glass?

In order to determine the number of cups of smoothie that would be put in each glass, it should be ensured that the measures of the ingredients are in the same unit.

The first step is to determine the total cups of smoothie that Craig makes.

In order to determine the total cups, quart has to be converted to cups

1 quart = 4 cups

Total number of cups = 5 + 4 + 3 = 12 cups

The next step is to determine the cups in each glass.

Cup of smoothie in each glass = total number of cups of smoothie / total number of large cups

12 / 6 =2 cups.

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Yeah lease help me yall I would really appreciate it thank you!!

Answers

The elements of the given set A' ∩(B ∪ C') = {1, 3, 7. 9}

Sets

From the question, we are find the given set

The given set is

A' ∩(B ∪ C')

From the given information,

U = {1, 2, 3, ... , 9}

A = {4, 5, 6, 8}

B = {1, 3, 4}

C = {1, 2, 3, 4, 5}

First, we will determine A' and C'

A' = {1, 2, 3, 7, 9}

C' = {6, 7, 8, 9}

Now, we will find

B ∪ C' = {1, 3, 4, 6, 7, 8, 9}

Then,

A' ∩(B ∪ C') = {1, 3, 7, 9}

Hence, the elements of the set A' ∩(B ∪ C') = {1, 3, 7. 9}

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If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red and yellow?

Answers

The fraction of the bag that are red and yellow are  [tex]\frac{17}{30}[/tex].

A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. Below (or after) that line, there is a non-zero denominator and a common, vulgar, or simple fraction. Uncommon fractions that use numerators and denominators include difficult fractions, compound fractions, and mixed numeral fractions.

To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.

To add the two fractions together but first rewrite the fractions with a common denominator;

[tex]\frac{4}{15} =\frac{8}{30}[/tex]

[tex]\frac{3}{10} =\frac{9}{30}[/tex]

[tex]\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}[/tex]

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In order to accumulate enough money for a down payment on a car, Karl deposits $100 per month into an account paying 1.75% compounded monthly. If payments are made at the end of each period, how much In order to accumulate enough money for a down payment on a car, Karl deposits $100 per month into an account paying 1.75% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 18 months? How much interest will Karl have earned? Total amount: Interest earned:

Answers

1. If payments are made at the end of each period, the amount of money that will be in the account in 18 months (future value) is $2,094.46.

2. The total interest that Karl earned will be $294.46.

3. Total amount: $2,094.46

Interest earned = $294.46

What is the future value?

The future value is the future cash deposits compounded at an interest rate for a period.

The future value can be computed using the future value table or future value formula.  It can also be computed using an online finance calculator.

N (# of periods) = 18 months

I/Y (Interest per year) = 21% (or 1.75% monthly)

PV (Present Value) = $0

PMT (Periodic Payment) = $100

Results:

Future Value (FV) = $2,094.46

Sum of all periodic payments = $1,800 ($100 x 18)

Total Interest = $294.46

Thus, the total future amount in the account will be $2,094.46 with an interest of $294.46.

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use the distributive property to remove the parentheses

-2(4w-2v-1)

Answers

Answer: -8w+2v+2

Step-by-step explanation:

The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters

Answers

Answer:

12

Step-by-step explanation:

Answer: 13 cm x 9cm is the correct answer:)

A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle: ​"Five-sixths of my cats plus three ​."
How many cats does the nemesis​ have?

Answers

The number of cats the nemesis have is 4

What is a fraction?

A fraction is defined as the part of a whole.

Types of fractions;

Mixed fractionsSimple fractionsProper fractionsImproper fractions

From the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three

This is expressed as;

Number of cats =  1 - 5/ 6 + 3

Number of cats = 1/ 6 + 3

Number of cats = 6 + 18 /6

Number of cats = 24/6 = 4

Thus, the number of cats the nemesis have is 4

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