Define cross-multiplication property

Answers

Answer 1

Answer: Not to be confused with Cross product.

In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

The method is also occasionally known as the "cross your heart" method because a heart can be drawn to remember which things to multiply together and the lines resemble a heart outline.


Related Questions

Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT

Answers

7% is equal to 0.007

The decimal equivalent of 7% is, C. 0.07.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know, Percentages and decimals are related to each other.

Decimals can be converted into percentages by multiplying them by 100

and vice versa.

Given, We have to find the decimal equivalent of 7%.

The decimal equivalent of 7% is,

= 7/100.

= 0.07.

Q. Which of the following is equal to 7%?

A. 7.

B. 0.7.

C. 0.07.

D. 7%.

learn more about percentages here :

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HELPPP ASAPPP
write an equation for each line
line L(the red line)___
line p(the blue line)___
line m(the black line)___
line n(the green line)___

Answers

Answer: Line L : Y=4

Line P : X=-4

Line M : Y= -2x+4

Line N : Y= 1x-1

Step-by-step explanation:

A fair die is rolled three times. A 4 considered success while all other outcomes are failures. Find the probability of each number of successes.

Answers

Answer:

Probability of success = 1/6.

Step-by-step explanation:

A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.

At one gas station gas cost $2.75 per gallon write an equation that relates the total cost C to the number of gallons of gas purchased G write as algebraic expression with variables for an answer

Answers

the answer is $2.75G=C

74,626,831.08 ROUNDED TO THE TENTH.

Answers

Answer:

74,626,831.1

Step-by-step explanation:

You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.

Find the slope of the line that passes through (-5,-6), (-14,10)

Answers

Answer:

[tex]m=-\frac{4}{3}[/tex]

Step-by-step explanation:

Formula

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Solve

[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

A=(-5, -6) = (x1 , y1)

B= (-14, 10)= (x2 , y2)

slope= y2 - y1/ x2- x1

=10+6/ -14+5

= 16/ -9

= 4 / -3

Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?

5h+8
8h+5
7h+11.2
11.2h+7

Answers

Answer:

the answer is A.

Step-by-step explanation:

The 7 work days is represented by a linear equation

The expression that represents her gross pay each day is 5h + 8

What are linear equations?

Linear equations are equations that have constant rates

How to determine the linear equation

The earning at the end of 7 work days is represented as:

35h + 56

To calculate the gross pay, each day:

We divided the total earnings by 7

So, we have:

[tex]Gross =\frac{35h + 56}{7}[/tex]

Evaluate the quotient

[tex]Gross =5h + 8[/tex]

Hence, the expression that represents her gross pay each day is 5h + 8

Read more about linear equations at:

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what is the area in hectares of a triangular field whose base is 1310 m and height is 800 m ​

Answers

the answer should be A=5.24×105m²

Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?

A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}

Answers

Answer:

The range is {12, 4, -6} ⇒ D

Step-by-step explanation:

The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation

∵ The relation is 12x + 6y = 24

∵ The domain of the function is {-4, 0, 5}

→ That means x = -4, 0, 5, we need to find their corresponding values of y

∴ Substitute the values of x in the relation

x = -4

∴ 12(-4) + 6y = 24

∴ -48 + 6y = 24

→ Add 48 to both sides

∴ -48 + 48 + 6y = 24 + 48

∴ 6y = 72

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]

y = 12

x = 0

∴ 12(0) + 6y = 24

∴ 0 + 6y = 24

∴ 6y = 24

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]

y = 4

x = 5

∴ 12(5) + 6y = 24

∴ 60 + 6y = 24

→ Subtract 60 from both sides

∴ 60 - 60 + 6y = 24 - 60

∴ 6y = -36

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]

y = -6

∵ The range is the values of y which corresponding to the domain

The range is {12, 4, -6}

The answer is down below have a good day!!!

last year, emilia went bowling several times and earned an average score of 100 points. this year, after taking a class at school, her average is now 98% higher. what is her current average?​

Answers

198 is the answer I think

t> -5
can someone show step by step how to solve this equation?

Answers

Answer: The equation cannot be simplified any further.

Explanation: The variable(t) is greater than any number than negative five.

Plz mark brainliest:)

A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?

Answers

Answer:

Number of books sold = 14.75*x

Step-by-step explanation:

Graph the line y=−3x+b if it is known that the graph goes through point:

A(−2, 4)

Answers

Simply plug your y intercept in for b. You’ll get y= -3x+4. Draw a simple graph and plot your y coordinate first at 4. Since your slope is -3, then from your point 4 on the graph go down 3 spaces and to the right 1 space. Continue on until you get a line. Also, from 4, go up 3 spaces and to the left 1 space to complete the line.

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.
Suppose the paper is 7"-wide by 9"-long.
a. Estimate the maximum volume for this box?
b. What cutout length produces the maximum volume?

Answers

Answer:

B

Step-by-step explanation:

To answer this question it is necessary to find the volume of the box as a function of "x", and apply the concepts of a maximum of a function.

The solution is:

a) V (max) = 36.6 in³

b) x = 1.3 in

The volume of a cube is:

V(c) = w×L×h  ( in³)

In this case, cutting the length  "x" from each side, means:

wide of the box    ( w - 2×x )   equal to  ( 7 - 2×x )

Length of the box ( L - 2×x )   equal to  ( 9 - 2×x )

The height  is  x

Then the volume of the box,  as a function of x is:

V(x) = ( 7 - 2×x ) × ( 9 -2×x ) × x

V(x) = ( 63 - 14×x - 18×x + 4×x²)×x

V(x) = 4×x³ - 32×x² + 63×x

Tacking derivatives,  on both sides of the equation

V´(x) = 12×x² - 64 ×x + 63

If   V´(x) = 0      then      12×x² - 64 ×x + 63 = 0

This expression is a second-degree equation, solving for x

x₁,₂ = [ 64 ± √ (64)² - 4×12*63

x₁ =  ( 64 + 32.74 )/ 24

x₁ = 4.03     this value  will bring us an unfeasible solution,  since it is not possible to cut 2×4 in from a piece of paper of 7 in ( therefore we dismiss that value)

x₂ = ( 64 - 32.74)/24

x₂ = 1.30 in

The  maximum volume of the box is:

V(max) = ( 7 - 2.60) × ( 9 - 2.60)×1.3

V(max) = 4.4 × 6.4 × 1.3

V(max) = 36.60 in³

To chek for maximum value of V when x = 1.3

we find the second derivative of V  V´´,  and substitute the value of x = 1.3,    if the relation is smaller than 0,  we have a maximum value of V

V´´(x) = 24×x - 64 for x = 1.3

V´´(x) = 24× 1.3 - 64            ⇒   V´´(x) < 0

Then the value  x = 1.3 will bring maximum value for V

Related Link: https://brainly.com/question/13581879

Plz help help me it’s so hard

Answers

Answer:

It's the second answer choice

Step-by-step explanation:

A construction worker estimates that a kitchen will take 1 Person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?

A) 4

B) 5

C) 6

D) 7

Answers

Answer:

the answer it 5 also my proff is on Google

PLEASE HELP !!! Find the missing side lengths

Answers

where is the question?

If 21 out of 100 patients have high cholesterol, what percent of the patient population has high cholesterol?

Answers

Answer: 21%

Step-by-step explanation:

Percent by definition is based on "out of 100." If 21 out of 100 has high cholesterol, then the percentage is 21%

Answer:

21%

Step-by-step explanation:

Percents are always out of 100. If it says a # out of 100, the percentage is always the number that it is mentioning.

For example,

51 out of 100 is 51%

79 out of 100 is 79%

On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?
Answer:
Equation:
Hours after 7AM (x) 0, 1, 2
Temp in F (y) -10, -8, -6
Use these for your coordinates

Answer the question, provide the equation, fill in the table and create the graph.

Answers

Answer:

it would be 60 degrees at noon

Step-by-step explanation:

7(9y + 2y – 6) – 9y =

Answers

Answer:

68y-42

Step-by-step explanation:

Answer:

68 y-42

Step-by-step explanation:

A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives instruction via a PowerPoint presentation that is online. The second group attends a class and receives instruction from a teacher face to face. The researcher classifies the students based on when they volunteer for the study. The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher. With respect to this study, we could identify that:

Answers

Answer:

This study is good because we have minimized sampling error.

Step-by-step explanation:

We are given that . The researcher has two groups.

The researcher classifies the students based on when they volunteer for the study.

The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.

A. This study is poor because the researcher did not use random sampling.

B. This study is poor because the researcher did used random sampling.

C. This study is good because we have minimized sampling error.

D. This study is good due to the equal sample size in each group.

Option C is true : This study is good because we have minimized sampling error.

Write the multiplicative comparison statement as an equation.

18 is 3 times as many as 6.

Answers

Answer:

18 = 3 × 6

Step-by-step explanation:

* Which answer choice describes y = -3x² +7x - 2​

Answers

This is the answer for that question:
Y=-(3x-1)(x-2)

Answer:

y = -[tex]3^{2}[/tex] + 7x - 2

Step-by-step explanation:

-9-2= -11

y = -11 +7x

+11

y+11 = 7x

/7

1.57142857143= x

A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.

Answers

Answer:

4x4=shaggy

Step-by-step explanation:

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%

Answers

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

313.92 ÷ 6.4 + 200.4 What is the value of the expression?

Answers

Answer:249.45

Step-by-step explanation: First take 313.92 divided by 6.4  and then add 200.4 which is when you get your final answer of 249.45

find the value of x

need to show work

Thank you guys

Answers

Answer:

Since they are vertical angles (or angles opposite each other), you set them equal to each other.

5x + 4 = 74

5x = 70

x = 15

Keiran wants to save $56 for a gift for his mother’s birthday in 14 weeks. How much money must he save each week?

Answers

$4 every week hope this helps you

Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week

She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person

at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The

cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she

wants to earn $1,400,000 per year?

Answers

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

Find the slope of the line passing through the points (8,-4) and (-6,-3).

Anybody know this ?

Answers

Answer:

= -1/14

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -3 - -4)/( -6 -8)

   = ( -3+4)/( -6-8)

   1/-14

= -1/14

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