Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.

StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer 1

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.


Related Questions

how old are you android phone is not

Answers

Answer:

I am 14 years old

Step-by-step explanation:

I don’t have a android

compare the quantities in column A and Columb B,
column A.
4x-y=11
3x+y=3
column B
x-5y=-8
-x+4y=5

Answers

Answer:

A

Step-by-step explanation:

can't tell you

12
66 77 84 | 3
'
43
mZ1 =
m22 =
m23 =
-

Answers

Answer:

30; 41 69 :):):):):):):):)')'))'):):):):):):)):):):

Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.

Answers

Answer:6x + 4 + 2yStep-by-step explanation:x2 + 2x + 1 + y2 + 2x + 3=> 2x + 2x + 1 + 2y + 2x + 3=> 4x + 1 + 2y + 2x + 3=> 6x + 1 + 2y + 3=> 6x + 4 + 2yConclusion:

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

What is a polynomial equation?

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

To learn more about polynomial equations refer to:

https://brainly.com/question/26240147

#SPJ2

The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.​]​

Answers

Answer:

it it went down 16%

Step-by-step explanation:

if you calculate it, 16 out of 19 points is 84%. this means that it went down 16%.

Answer:  16%

Explanation:

The decrease is 3 since 19-16 = 3. Divide this decrease value by the original count: 3/19 = 0.1579 = 15.79% = 16% approximately

Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.

Which family is farther from the marina? Explain your reasoning.

Answers

Answer:

A

Step-by-step explanation:

We can solve this by drawing it out

Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.

(3 z + 1) + (5 + 7 z )

Answers

Answer:

10z + 5    

Step-by-step explanation:

(3 z + 1) + (5 + 7 z )

3 z + 1 + 5 + 7 z     [Remove parentheses]

10z + 5                 [Combine like terms]

.

[tex]10z + 6[/tex]

[tex]3z + 7z + 5 + 1 = 10z + 6[/tex]

Pls Help! Which graph A,B or C?​

Answers

Answer:

Answer=C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Parallel lines hAve no solutions

Option A omitted

Two lines intersection point gives one solution only

Option B omitted

One single line denotes to infinite solutions

Option C is correct

Graph the line y= 2/3x +1

Answers

Step-by-step explanation:

Given the linear equation, y = ⅔x + 1, where the slope, m = ⅔, and the y-intercept, (0, 1) where b = 1.

Start at the y-intercept:

In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the y-intercept is the point on the graph where it crosses the y-axis. It coordinates are (0, b), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.

Plot other points using the slope:

From the y-intercept, (0, 1), we must use the slope, m =  ⅔ (rise 2, run 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.

Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.    

[tex]\huge\boxed{Hello,\:hope\:you\:are\:having\:a\:wonderful\:day.}[/tex]We are asked to graph the line y=2/3x+1.

2/3 is the slope of this line (Rise/Run)

The rise is how many units we move up; the run is how many units we move left or right.

For this line, 2 is the rise, and 3 is the run.

Now, 1 is the y-intercept. (where the graph touches the y-axis)

First, plot this point: (0,1)

Then, move 2 units up and 3 to the left (Up 2, over 3, up 2, over 3)

When you have a line, take a ruler and connect these points, and you will have the graph of y=2/3x+1.

[tex]\huge\bold{Hope\:it\:helps!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

[tex]\huge\sf{Good\:luck}[/tex]

Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)

Answers

Answer: 2.5

Step-by-step explanation:

please help me asap


ty :)

Answers

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b

b= 7+9

b= 16

y= 3x+16

Step-by-step explanation:

while the other answer is correct, here also the way as the hint suggests :

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

y = 3x + 9 + 7 = 3x + 16

and there you have it : the same result just by using the point-slope form first.

Please help with math problem! :)

Answers

Answer:

Step-by-step explanation:

y-8=2x-2

y = 2x + 6

y- intersect = 6

x- intersect = -6/2 = -3

Slope: 2

help please! a is wrong, that was my initial answer.

Answers

Answer:

D -1

Step-by-step explanation:

[tex]-6(3a+4)=3a-3[/tex]

[tex]-18a-24=3a-3[/tex]

[tex]-18a-3a=-3+24[/tex]

[tex]-21a=21[/tex]

a = [tex]\frac{21}{-21} =-1[/tex]

Hope this helps

A box contains 8 red balls and 8 black balls. A
woman takes balls out at random without looking at
them. Once a ball is taken out it is not replaced back in
the box. How many balls must she select to be sure of
having at least three balls of the same color?

Answers

Answer:

At least 5 times

Step-by-step explanation:

Number of balls to be selected for having assurance of at least three balls of the same colour is equals to 5 balls.

What is without replacement ?

" Without replacement means if an item is drawn from the set of items it is not kept back which represents sample space is decrease by as per the number of selection is done in first draw."

According to the question,

Number of red balls in a box = 8

Number of black balls in a box =8

As per the condition of without replacement we get,

In this case worst selection case could be

Alternate balls are of different colour

Black →Red → Black → Red → fifth ball is either Red or Black

Hence, 5balls must be selected for assuring at least three balls of the same colour .

Learn more about without replacement here

https://brainly.com/question/22221548

#SPJ2

what percent of 81 is 51​

Answers

Answer:

62.96%

Step-by-step explanation:

do this

51/81 ×100%

Answer:62.953%

Step-by-step explanation:

81 * (%) = 51

% = 51 / 81

% = 62.953

write one in factor form with solutions 3,-1,-3i?

Answers

Answer:

Factored form: [tex](x-3)(x+1)(x^2+9)[/tex]

Expanded form: [tex]x^4-2x^3+6x^2-18x-27[/tex]

Step-by-step explanation:

[tex](x-3)(x+1)(x^2+9)[/tex]

[tex](x^2-2x-3)(x^2+9)[/tex]

[tex]x^4+9x^2-2x^3-18x-3x^2-27[/tex]

[tex]x^4-2x^3+6x^2-18x-27[/tex]

[tex]x-3=0[/tex] has a solution of [tex]x=3[/tex]

[tex]x+1=0[/tex] has a solution of [tex]x=-1[/tex]

[tex]x^2+9=0[/tex] has a solution of [tex]x=\pm 3i[/tex]

Is {1, 3, 5} a subset of the set of odd integers?

Answers

Answer: Yes

Step-by-step explanation:

The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.

Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?

Answers

Answer:

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10

Step-by-step explanation:

26 kg of potatoes cost $210.60. How much would 6 kg cost?

Answers

Answer:

$48.6

Step-by-step explanation:

We have to use Unitary Method, means, we'll first have to find cost of one unit.

26 Kg ---------> $210.601 Kg ---------> $210.60 / 266 Kg ---------> $210.60/26 x 6 = $48.6

Hope it helps :)

If -11 + N = -11, then N is the
a. additive identity
b. additive inverse
c. multiplicative inverse
d. multiplicative identity

Answers

Answer:

Step-by-step explanation:

eeuduehuheuhd  hbu h

Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?

Answers

4:10 is smaller because:
times the whole ratio by two to get: 8:20 now we can compare it to 12:20 and so 8 < 12 so the first one is smaller
I think 12:20 is similar

The chess clubs at school decides to give $400 to a charity at Christmas time. If the chess club raised $1,000 fund raising. What percent of the fund raiser did they donate to charity

Answers

Answer: 40%

Step-by-step explanation:

To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.

Percent of the fund raiser did they donate to charity 40%

What is percentage ?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.

To find the percent,

divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage,

multiply the answer by 100.  0.4 * 100 = 40.

To learn more about the percentage here:

https://brainly.com/question/29224972

#SPJ7

what is the area of the rhombus with one side as 32cm and one diagonal as 18 meters​

Answers

the area of the rhombus=32cm; one diagonal (q)=18meters

p=(2×area)/q

p=(2×32)/18=18

therefore the length of the unknown diagonal is 18.

the unknown diagonal can be calculated using the perimeter of the rhombus which is given as 32cm; one diagonal (p)=18 half of this diagonal

=18÷2=9units

Overnight the low temperature dropped to-6 degrees Fahrenheit. If the temperature during the was 11 degrees Fahrenheit, what was the difference between the high and low temperatures?

Answers

Answer:

17 degrees F

Step-by-step explanation:

11 - (-6) = 17

Subtracting a negative is the same as adding.

show that
[tex] \frac{2}{3 + \sqrt{7} } = 3 - \sqrt{7} [/tex]
I don't know what to do
please help with the steps.
for brainliest ​

Answers

Answer:

  multiply by (3-√7)/(3 -√7) and simplify

Step-by-step explanation:

When there are radicals or complex numbers in the denominator, you can rewrite the expression so it has a real, rational denominator. You do this by multiplying numerator and denominator by the conjugate of the denominator. That value is the denominator with its sign changed.

This takes advantage of the factoring of the difference of squares.

  (a -b)(a +b) = a² -b²

__

  [tex]\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\times\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-(\sqrt{7})^2}=\dfrac{2}{9-7}\times(3-\sqrt{7})\\\\=\boxed{3-\sqrt{7}}[/tex]

A charity organization is having a fundraiser. The variable P models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n - 1500 How much money does the charity raise by selling a single ticket?​

Answers

Step-by-step explanation:

the answer is the factor of n : 70.

with every sold ticket the charity raises $70.

add on :

to break even (to have at least 0 or more dollars as profit) they need to sell at least

70n - 1500 = 0

70n = 1500

7n = 150

n = 150/7 = 21.42857143...

that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 12in)

Answers

Answer:

18 feet

Step-by-step explanation:

If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

<

Step-by-step explanation:

How would I simplify radical expressions?

Answers

[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]

1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills

Answers

Answer:

A

Step-by-step explanation:

Shivalik Hills

Hope it helps to you

:-)

Other Questions
What TWO factors contributed to the development of a middle class being able to provide the entrepreneurs and managers needed for industrialization?a weak middle classthe peasant and craftsmen were able to join the modern workforcea feudal system of a societal hierarchyno barriers keeping the movement from cities and towns to farms and the countryside A geothermal plant has been built in a location. Which of these is the most likely benefit of the geothermal plant in this location?A. Decrease in geothermal fuels consumptionB. Improvement to hot springs and geysersC. Long-term cost savings for energy usersD. Increase in emission of greenhouse gases Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?There areways to arrange the 8 blocks. Summary abt romeo and juliet act 1 why the french and Indian war and proclamation of 1763 changed british relations. list 2 answer this question PLZZZZZwhat is 1+1?IM HAVING SO MUCH TROUBLE WITH THIS Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?Help please? Colin invests 2350 into a savings account. The bank gives 4.2% compoundinterest for the first 4 years and 4.9% thereafter. How much will Colin have after10 years to the nearest pound? Find x, given the slope is -2. (x,-6) (-6,10) Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box. The rights of the individual are protected through the ___ of the government.pls help! what one is it?structureprocessesgrowingabilitieswritingsCharge can be created or destroyed. Which document allowed for the United States to trade with other nations in China (free trade)? 3. Mon oncle habite __________ Japon. *A. dansB. C. enD. au help plzz) A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d +0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map. Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT) Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories. Do you think origami is an important part of Japanese culture? why? can someone please answer this question x+1=2xhope someone can help thanks! how does carbon move through the system when there is light In 2000, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 65% per year after 2000. How many cell phone subscribers were in Centerville in 2020?