which property is used below?

Distributive property
multiplication property of inequality
Subtraction property of inequality
Associative property of multiplication

Answer:

x = -2

Step-by-step explanation:

If you factor out 1/9 you get rid of the fractions and that makes the equation a whole lot easier.

[tex](5x+10)^2 - x(25x+27) + 46 = 0[/tex]

Next, eliminate the brackets:

[tex]25x^2 +100x + 100 - 25x^2 - 27x + 46 = 0[/tex]

Combine the terms:

[tex]x = \frac{- 146}{73} = -2[/tex]

Answer:

x = - 2

Step-by-step explanation:

The 9 does absolutely nothing. Multiply the whole equation by. 9. Remember that each term must show the 9 is missing

(5x + 10)^2 - x(25x + 27)  + 46 = 0

Next expand the first and second binomial so that the brackets can be removed.

(25x^2 + 100x + 100) - (25x^2 + 27x) + 46 = 0  

Now remove the brackets

25x^2 + 100x + 100 - 25x^2 - 27x + 46 = 0

Collect the like terms

25x^2 - 25x^2 + 100x - 27x + 100 +46 = 0

73x + 146 = 0                

Subtract 146 from both sides

73x = - 146

Divide by 73

x = - 146/73

x = - 2     <<<<                Answer

Answer: The graph y-intercept is 4. The equation in y=mx+b form is: y= (2/3)x + 4

Step-by-step explanation:

Using rise over run to find the slope, we can see the graph goes up 2 units and over 3 units, but however does not go through the origin but instead at y=4.

Answer:

The graph y-intercept is 4. The equation in y=mx+b form is: y= (2/3)x + 4

Step-by-step explanation:Using rise over run to find the slope, we can see the graph goes up 2 units and over 3 units, but however does not go through the origin but instead at y=4.

Hope this helps! Merry Christmas!!

Answer:

This is equal to 29

Step-by-step explanation:

2(13)+3=29

Answer:

25

Step-by-step explanation:

Formula

2xy + 1

Givens

x = 3

y = 4

Solve

2*(3)*(4) + 1

24 + 1

25

When subtracting mixed numbers, rename the mixed number if the subtrahend is larger than the minuend by converting them into improper fractions and then subtracting the numerator while keeping the denominator the same.

When subtracting mixed numbers, you may need to rename the mixed number if the subtrahend is larger than the minuend.

This means that the whole number part of the subtrahend is greater than the whole number part of the minuend, or the fractions have different denominators.

To rename the mixed number, you convert it into an improper fraction.

Once both mixed numbers are in the same form, you can subtract them by subtracting the numerator and keeping the denominator the same. Finally, simplify the answer if needed.

Answer:

x = 15

Step-by-step explanation:

The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.

Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.

Answer:Part A 1.1 and Part B .75

Step-by-step explanation:

2.2 divided by 2 is 1.1

3.75 divided by 5 is .75

Answer:

Part A: 1.1 Part B: 0.75

Step-by-step explanation: For part A it's 1.1 because there's 2. stamps there and 1.1 + 1.1 = 2.2. For part A it's 0.75 because 3.75 divided by 5 is 0.75

Answer:

-1.5, -1.6, -1.7, -1.8, -1.9

Step-by-step explanation:

A rational number is a number that can be written as the ratio of two integers.

-1.5 is a rational number between -2 and -1

-1.5  can be written as -15/10

-1.6  is a rational number between -2 and -1

-1.6 can be written as -16/10

1.7  is a rational number between -2 and -1

-1.7 can be written as -17/10

1.8  is a rational number between -2 and -1

-1.8 can be written as -18/10

1.9  is a rational number between -2 and -1

-1.9 can be written as -19/10

The angle of elevation of the ramp (x) is approximately 58.9 degrees.

How to find the angle of elevation

To find the angle of elevation (x) of the ramp using the cosine function,

cos(x) = adjacent / hypotenuse

Given:

Adjacent side = 16 ft

Hypotenuse = 31 ft

Plug in these values into the formula

cos(x) = 16 / 31

To find x, take the inverse cosine (arccos) of both sides:

x = arccos(16 / 31)

Using a calculator,  arccos(16 / 31) is approximately 58.9 degrees.

Therefore, rounding to the nearest tenth of a degree, the angle of elevation of the ramp (x) is approximately 58.9 degrees.

Answer:

C. There is not enough information to make any conclusions regarding the new review booklet.

Step-by-step explanation:

Given that A statistics teacher conducted an experiment to test whether the use of a new review booklet will improve her students' semester grades.

also given that The teacher randomly selected 20 students from her class and assigned the new review booklet to 10 of the students. The remaining 10 students did not use any review material.

The semester grades did not differ for both groups.

But we cannot conclude the booklet has no effect because,

i) The sample size is very small, only 10.  Hence not reliable

ii) We do not know the previous performance of both the groups. To ensure improvement the grades the students got in the previous exam also should be considered.

Answer: A

Step-by-step explanation:

Plato users

Answer:

13.6 i believe, but that could, should be right tho.

Step-by-step explanation:

355/17=20.88235294 then 284/20.88235294=13.6

For this case, you want to know how many gallons of gasoline Nicole needs to drive 284 miles, knowing that with 17 she drove 355 miles. For this, we make a rule of three:

[tex]355 \ miles -----------> 17 \ gallons\\284 \ miles -----------> x[/tex]

Where "x" represents the number of gallons consumed in 284 miles.

[tex]x = \frac {284 * 17} {355}\\x = 13.6 \ gallons[/tex]

So, Nicole will need 13.6 gallons of gas to drive 284 miles

Answer:

13.6 gallons

Answer:

The new price of the coat is $201.25

Step-by-step explanation:

The price will be higher since this is an increase.

Percent increase = (new price - old price) / old price

Substituting what we know

.15 = (new price -175)/175

Multiplying each side by 175

.15*175 = new price by 175

26.25 = New price-175

Add 175 to each side

26.25+175 = new price-175+175

201.25 = new price

The new price of the coat is 201.25

Final answer:

The new price of the winter coat after a 15% price increase on the original price of $175 is $201.25.

Explanation:

To find the increase, we need to calculate 15% of $175:

Increase = 15% of $175

= 0.15 * $175

= $26.25

Calculate the New Price:

To find the new price, we add the increase to last year's price:

New Price = Last Year's Price + Increase

= $175 + $26.25

= $201.25

Therefore, the new price of the winter coat after a 15% increase is $201.25.

Answer: slope is 5 and y-intercept is 15

Step-by-step explanation:

you pay 5 dollars each hour or whatever the time is and have to pay $15 to get in the cab. So the $15 is a must pay.

Answer:

You pay $5\time and must pay $15 to ride in it.

Answer:

B & D

Step-by-step explanation:

We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

There are two ways to look at it:

For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.

We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.

Answer:

B and D

Step-by-step explanation:

Answer:

D, which is 7.

Step-by-step explanation:

if you notice that -2+4= 2, and 4+14= 18, you can make an educated guess.

The missing number in the given synthetic division problem is 7 hence, option (D) is correct.

The synthetic division used to divide a polynomial by any expression in that expression should be the leading coefficient as one.

Given that in problem first term has written as it is.

Then multiply 2 with 2 and add 4 with -2.

Again multiply 2 by 2 and add with 3 which gives 7.

Hence 7 will be the missing number in the given problem.

For more information about synthetic division.

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Answer:

12/24

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.

12:24 or

[tex]\frac{12}{24}[/tex] or

0.5 as a decimal.

"The graphs of [tex]\( y = x^2 \)[/tex] and [tex]\( y = 25 \)[/tex] intersect at the points where the value of [tex]\( x^2 \)[/tex] is equal to 25. To find these points, we set the equations equal to each other and solve for x :

[tex]\[ x^2 = 25 \][/tex]

Taking the square root of both sides gives us two solutions:

[tex]\[ x = \pm 5 \][/tex]

Therefore, the graphs intersect at [tex]\( (-5, 25) \) and \( (5, 25) \)[/tex].

Similarly, the graphs of [tex]\( y = x^2 \)[/tex] and [tex]\( y = 121 \)[/tex] intersect at the points where the value of [tex]\( x^2 \)[/tex] is equal to 121. We set the equations equal to each other and solve for [tex]\( x \)[/tex]:

[tex]\[ x^2 = 121 \][/tex]

Taking the square root of both sides gives us two solutions:

[tex]\[ x = \pm 11 \][/tex]

Thus, the graphs intersect at[tex]\( (-11, 121) \) and \( (11, 121) \)[/tex].

In both cases, the intersection points are determined by finding the values of [tex]\( x \)[/tex] that satisfy the equation [tex]\( x^2 = k \)[/tex], where[tex]\( k \)[/tex]is the constant on the right side of the equation[tex]\( y = k \)[/tex].

The solutions are the positive and negative square roots of [tex]\( k \)[/tex], since [tex]\( x^2 \)[/tex] is equal to [tex]\( k \)[/tex] at these points."

Answer:

order is

αb<αc<αa

Step-by-step explanation:

in a )

number 4 and number  12 are showing 3 bullets while number 7 and 9 showing 2 bullets hence

standard deviation for a=3-2=1

in b)

number 4 ,7,9 and number  12 are showing 2 bullets while number 3 and 13 showing 1 bullet hence

standard deviation for a=2-1=1

in c)

number 4 ,7,9 and number  12 are showing 2 bullets while number 5 and 11 showing 1 bullet hence

standard deviation for a=2-1=1

order isαb<αc<αa

Answer:

Answer: g(x) = 32x - 7

Step-by-step explanation:

A vertical stretch is accomplished by multiplying by a constant greater than 1

So f(x) would be multiplied by 4 to get part of g(x)

4*f(x) = 4*8x = 32x

Now to get 7 units down subtract 7 from f(x)

4f(x) - 7= 32x - 7 Down is minus.

Answer: g(x) = 32x - 7

Answer:

The period is [tex]2\pi[/tex] and the amplitude is 3.

Step-by-step explanation:

The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.

The period of the function [tex]y=a\sin (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]

Consider the function [tex]f(t)=-3\sin t.[/tex]

The period for the function [tex]f(t)[/tex] is

[tex]T=\dfrac{2\pi}{1}=2\pi[/tex]

and the amplitude is 3.

[tex]-2(y - 1) = 9\ /:(-2)\\y-1=-4.5\\y=-4.5+1\\y=-3.5[/tex]

The number of permutations possible for 11 objects taken 7 at a time is 1663200

Using the permutation formula :

Here ,

Inputting our values:

11P7 = 11!/(11 - 7)!

Evaluate:

11P7 = 1663200

Answer:

68%

Step-by-step explanation:

Percent means out of 100, so lets see if we can change the fraction to have a denominator of 100

34/50 * 2/2 = 68/100

This is 68%

Answer:

(a)

system of equations are

[tex]s+k=425[/tex]

[tex]k-s=25[/tex]

(b)

Graph is attached

(c)

Sam earned =$200

Kevin earned =$225

Step-by-step explanation:

Let's assume

's' for the amount Sam earned

'k' for the amount Kevin earned

(a)

Together they earned a total of $425

so, we get

[tex]s+k=425[/tex]

Kevin earned $25 more than Sam

so, we get

[tex]k=s+25[/tex]

so, system of equations are

[tex]s+k=425[/tex]

[tex]k-s=25[/tex]

(b)

now, we can draw graph

(c)

intersection point will be our solution

and we got intersection point as

(200, 225)

so,

s=200

k=225

(a) The system of equations for the situation is s + k = 425 and k = s + 25.

(b) Graph these equations to find their point of intersection.

(c) Using the graph, estimate that Sam earned around $200, and Kevin earned around $225.

(a) To write a system of equations for this situation, we can use the information provided:

1. Sam and Kevin earned a total of $425, which can be expressed as:

  s + k = 425

2. Kevin earned $25 more than Sam:

  k = s + 25

So, the system of equations is:

1. s + k = 425

2. k = s + 25

(b) To graph these equations, you can rearrange them into slope-intercept form (y = mx + b), where y represents one of the variables (s or k) and x represents the other variable.

From equation 2, we can rewrite it as k = s + 25, which can be expressed as k = 1s + 25.

Now, the system is represented as:

1. s + k = 425

2. k = s + 25

You can graph these equations on a coordinate plane.

(c) Once you graph the equations, you can look for the point of intersection, which represents the solution to the system and gives you the values of s and k. The point where the two lines intersect will provide estimates for how much Sam and Kevin earned. Using the graph, estimate that Sam earned around $200, and Kevin earned around $225.

Learn more about system of equations here:

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Answer:

1st)  geometric

2nd)  arithmetic

3rd)  arithmetic

Step-by-step explanation:

Geometric = you multiply or divide to get the next term

Arithmetic = you add or subtract to get the next term

1st)  you times by 3 to get next term = geometric

2nd)  you add one to get next terms = arithmetic

3rd) you add 4 to get next term = arithmetic

Answer:

11.66

Step-by-step explanation:

You have to divide 46.64 by four since there are four of them paying it evenly.

Answer:

11.66

Step-by-step explanation:

46.64/4= 11.66

I used desmos calculator to help me find this.

Hope this helps!

Answer:

Associative Property of Addition.

Step-by-step explanation:

It states that no matter how the numbers are ordered, the result will be the same. Feel free to look it up on google for more information :)

Answer:

The answer is Associative Property of Addition. Hope I helped!

Answer:

No

Step-by-step explanation:

So first, you need to divide the number of states voting by the number total, so 35/50= 0.7. Then you need to complete the original fraction and turn it into a decimal: 3/4 = 0.75

So 35 states = 0.7 and 3/4 = 0.75, so there are 0.05, or 5% of the states missing to Amend the Constitution.

Answer:

A 75 percent vote of congress is required for to amend the consitution.  

Step-by-step explanation:

Answer:

Step-by-step explanation: the correct answer is definitely 6

Final answer:

With Helen fixed in the first position, there are 6 different ways Elizabeth, Frank, and Gary can line up behind her, computed by a permutation of the 3 remaining people.

Explanation:

If Helen is always the first in line, we just need to focus on the different ways Elizabeth, Frank, and Gary can line up behind her. For the first spot behind Helen, there are 3 choices (Elizabeth, Frank, or Gary). After choosing one, there are 2 remaining choices for the next spot, and finally, the last person will have no choice but to take the last remaining spot. This is a permutation problem where we multiply the different choices together.

Thus, the number of ways they can line up is 3 (for the second spot)  imes 2 (for the third spot)  imes 1 (for the last spot), which equals 6 different possible lineups.