Salina and Nessa combined like terms using the same expression. Salina’s answer differs from Nessa’s. The table shows both of their solutions.

Salina
Nessa
6 x squared y minus 3 + x squared y + 2 x y squared + 2 x y minus 6 = 7 x squared y minus 9 + x squared y + 2 x y squared + 2 x y
6 x squared y minus 3 + x squared y + 2 x y squared + 2 x y minus 6 = 7 x squared y minus 9 + 2 x y squared + 2 x y

Which statement is correct regarding their solutions?
Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.
Salina did not add the constant terms correctly.
Nessa combined the constants correctly but then left the Plus 2 x y squared term in her answer
Nessa did not combine the x squared y terms correctly.

The last sample range in this table is missing,the missing value is 2.

Given:

The Henry family has 5 children: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), and Elise (age 5).

Sample(n = 2)    A, B      A, C    A, D    Α, Ε  B, C ........ D,E

Ages                 15, 10    15,9    15,7    15, 5  10,9 .......  7,5

Sample range      5          6         8       10      1  ...........  

Let x be the sample range missing.

sample range = ages difference

= Age of D - Age of E

= 7 - 5

= 2

Therefore The last sample range in this table is missing,the missing value is 2.

Learn more about the missing value here:

https://brainly.com/question/16579022

#SPJ1

Answer:

answer is 2 i did it and got it right

Step-by-step explanation:

The given system of linear equations has no solution. By solving the equations using substitution method we get (11, 0) where no solution exists.

How many solutions can a system of linear equation can have?

A system of linear equations is usually a set of two linear equations with two variables.

The solution to a system of linear equations is the point at which the lines representing the linear equations intersect.

With linear systems of equations, there are three possible outcomes in terms of number of solutions:

How to identify the number of solutions?

Rewrite both equations in slope-intercept form, y = mx + b.

Compare the slopes of the lines, m, and their y-intercepts, b, to determine the number of solutions.

According to the given question:

Given system of linear equation are: y = -x + 11 and -4x -4y = 44

Rewriting the equations in slope-intercept form

        Simplifying further by dividing the equation with -4 on both side

        y = x - 11 ------ 2)

Clearly, both the equation have different m-values.

Hence the system of equation have one solution.

Now solving by substitution method

Substituting 2) in 1)

x - 11 = -x + 11 (since y = x -11 from 2))

2x = 22

∴ x = 11

Now substituting x = 11 in equation 2) to get the value of y

y = 11 - 11

∴ y = 0

So, the system of equation has no solution at (11, 0).

To know more about system of linear equation visit

https://brainly.com/question/20379472

#SPJ1

Answer:

the last one= It takes longer to fall because it experiences greater air resistance.

also the reason is the air resistance provides an upthrust to the parachute which takes longer time to fall

Answer: It takes longer to fall because it experiences greater air resistance.

Answer:

two times x plus two

Step-by-step explanation:

The kilograms of dough that Emmett prepare if he worked for 4 hours is 20 kilograms.

A proportional relationship simply means the relationship that has an equivalent ratio as well as a constant.

In this case, Emmett prepared 10 kilograms of dough after working 2 hours. The kilograms per hour will be:

= 10/2

= 5 kilograms per hour

Therefore, in 4 hours, the kilograms will be:

= Number of hours × 5 kilograms

= 4 × 5

= 20 kilograms

Learn more about proportional relationship on:

brainly.com/question/28777033

#SPJ1

Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

[tex]log_{3}[/tex] (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

The surface area of the cylinder in term of π is 6764πmm^2

A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface. The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.

The total surface area of a cylinder is 2πr(r+h)

Where r is the radius and h is the height of the cylinder

therefore T.S.A= 2×38π(38+51)

T.S.A=76π×89

The total surface area(T.S.A) of the cylinder =6764πmm^2

learn more about cylinders from

https://brainly.com/question/23935577

#SPJ1

The two combined geometric series is separated and the common ratios are shown

The total of a geometric sequence's finite or infinite terms is known as a geometric series.

The ratios of every two successive terms in the series (sum of terms) are equal. this means that

The common ratio is calculated by dividing the succeeding term (eg 2nd term) by the preceding term (eg 1st term)

Learn more about geometric sequence here:

https://brainly.com/question/24643676

#SPJ1

The percentage decrease in population is 17%

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 it by 100. percentage . The word per cent means per 100. It is represented by the symbol “%”.

percentage decrease in population= (0riginal population- new population)÷ original population × 100

%decrease in population = (181000 - 150230) ÷ 181000× 100

=( 307770×100)/181000

= 17%

learn more about percentage from

https://brainly.com/question/24877689

#SPJ1

17%

Step-by-step explanation:

i tried it it worked

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

Equation of the perpendicular line in slope intercept form is [tex]y = \frac{5}{2}x + 2[/tex]

Option A is correct

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here, the given line is

2x + 5y = 10

5y = -2x + 10

[tex]y = -\frac{2}{5}x + \frac{10}{5}\\y = -\frac{2}{5}x + 2[/tex]

Slope of the given line is [tex]-\frac{2}{5}[/tex]

Slope of the line perpendicular to this given line is [tex]\frac{5}{2}[/tex]

The line passes through (-2, -3)

Equation of the required line

[tex]y - (-3) = \frac{5}{2}(x - (-2))\\y + 3 = \frac{5}{2}(x + 2)\\2y + 6 = 5x + 10\\2y = 5x + 10 - 6\\2y = 5x + 4\\y = \frac{5}{2}x + \frac{4}{2}\\y = \frac{5}{2}x + 2[/tex]

Equation of the perpendicular line in slope intercept form is [tex]y = \frac{5}{2}x + 2[/tex]

Option A is correct

To learn more about equation of line in slope intercept form, refer to the link-

brainly.com/question/25514153

#SPJ1

The greatest temperature in Africa occur is 367 feet.

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion.

Given:

The greatest temperature ever recorded in the United States occurred at an elevation of 178 feet below sea level.

Using integers we represent it as (-178) feet.

and, greatest temperature ever recorded in Africa 545 feet greater than in the United States

= -178 + 545

= 367 feet.

Hence, The greatest temperature in Africa occur is 367 feet.

Learn more about integers here:

https://brainly.com/question/15276410

#SPJ1

The linear function of the table is a) g(x)=x-7

What is linear function?

 If the largest power of the variables in a function is 1, then that function is linear. A line across these two points with a straightedge is needed to complete the graph because two points determine a line. When m and b are real numbers, the slope of a linear function has the form f(x)=mx+b. To find the x-intercept, set f(x)=0 and solve for x. Because y=f(x), we can use y and f(x) interchangeably.

Here let us take g(x) as y values. In given table take any two points ,

[tex](x_1,y_1)=(0,-7)\\(x_2,y_2)=(2,-5)[/tex]

Now using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = 2/2 = 1

Now using equation formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

=> y+7=1(x-0)

=> y+7=x

=> y =x-7

Then y=g(x)

=> g(x) = x-7

Therefore the linear function of the given table is g(x)=x-7 .

To learn more about linear function refer the below link

https://brainly.com/question/2248255

#SPJ1

The required expression is Total = 152+x .

What is expression ?

  Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.

Here,

The number of bottles Enrique collected = 152

Let us take number of bottles  collected by Latasha as x. Then,

Total number of bottles collected by the is ,

=> Total = Number of bottles collected  + Number of bottle collected

                by Enrique                                   By Latasha.

=> Total = 152+x

Hence the required expression is Total = 152+x.

To learn more about expression

https://brainly.com/question/1859113

#SPJ13

Answer:

245.57

Step-by-step explanation:

[tex]P\left(1+0.05)^{10}=400 \\ \\ P=\frac{400}{(1.05)^{10}} \\ \\ P \approx 245.57[/tex]

The interest on the borrowed amount after 7 years is $486.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

Given that,

The amount borrowed is  P = $200.

Rate of interest is r = 18% per annum compounded quarterly.

Total time is t = 7 years

Then, the rate of interest for quarterly compounding is given by,

r  = 18 / 4%

  = 4.5%

And, total time period for compounding is,

n = 7 × 4

  = 28

The formula for compound interest is given as,

P[(1 + r / 100)ⁿ - 1]

Substitute the respective values to get,

200 × [(1 + 4.5 / 100)²⁸ - 1]

= 200 × 2.43

= 486

Hence, the interest due on the loan is given as $486.

To know more about compound interest click on,

https://brainly.com/question/14295570

#SPJ1

Answer:

A is shown in the attached image.

B. 5/6

C.  P(A or B)

Step-by-step explanation:

B. 1/2 + 2/3 - 1/3 = 5/6 or 3/6 + 4/6 - 2/6 = 5/6

C. P(A or B) = 5/6. P(A) + P(B) - P(A and B) = 5/6. Therefore, P(A) + P(B) - P(A and B) = P(A or B).

By using subtraction, it can be calculated that there were 496 round beads more than heart shaped beads

What is subtraction?

Suppose, there are two numbers and it is required to find out how much one number is bigger than  the other. The operation used for this is subtraction.

The larger number is called minuend and the smaller number is called subtrehend.

Here, subtraction will be used

Number of round glass beads = 675

Number of beads in the shape of heart = 179

Number of more round beads there were = 675 - 179

                                                                      = 496

There were 496 round beads more than glass beads

To learn more about subtraction, refer to the link-

https://brainly.com/question/13378503

#SPJ1

Answer:

It will take 7.5 days to complete the job.

Step-by-step explanation:

First, find how many total hours the ten men worked to complete the job

10 x 6 = 60 hours a day

12 x 60 = 720 hours total

Now compare that with the 8 men's hours

8 x 12 = 96 hours a day

720 / 96 = 7.5 days

Answer: The image is for an idea of what you should look for

Step-by-step explanation:

The function notation when the function was shifted right 6 is f(x-6).

Given that, the function was shifted right 6 units.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Rule: In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

So, the transformation from the original function to new function is

f(x-6)

Therefore, the function notation when the function was shifted right 6 is f(x-6).

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Answer:

x>=3 make the inequality false

Step-by-step explanation:

4x-2x<12-6

2x<6

x<3

Answer:

Any number higher than 3

Ex. 4, 5, 6, 7, 8, 9, 10, etc

Step-by-step explanation:

4x + 6 < 2x + 12

-2x        -2x

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

2x + 6 < 12

      -6    -6

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

2x < 6

÷2   ÷2

-----------

x < 3

Since x is less than 3, any number higher than 3 will make the inequality false. For Ex. 4

4(4) + 6 < 2(4) + 12

16 + 6 < 8 + 12

22 < 20 (false)

I hope this helps!

Answer:

Step-by-step explanation:

the side opposite to greater angle is greater.

72>60>48

AB>AC>BC

A=Afton

B=Badeton

C=Capeton

Answer:

32 students were on each bus.

Step-by-step explanation:

First deduct 9 students from the total number: 265 - 9 = 256

Then divide the students among the total number of buses, which is 8: 256/8 = 32

So there are 32 students on each bus.

Hope this helps

Please give brainliest

Answer:

Given

Distributive Property

Addition Property of Equality

Division Property of Equality

Step-by-step explanation:

Frist you distribute the -2 by multiplying it to everything in the parentheses.  Next, you add 2x to both sides of the equation and lastly you divide both sides of the equation by -4

If P= (2, 7) and Q= (2, -3), then for triangle to be isosceles coordinate of R must be 2

Let coordinates

P = (2, 7) and Q = (2, -3)

PR = QR

(X-2)^2 +(Y-7)^2 = (X-2)^2 + {Y-(-3)}^2

(Y-7) = {Y - (-3)}^2. or y - 7 = ±(Y

or Y^2 - 14Y + 49 = Y^2 + 6Y + 9

20Y = 40

Y=2

coordinates of R if triangle PQR is isosceles ;

Hence any point R on the line Y = 2 will make PQR a isosceles triangle

with PR = QR.

TO learn more about triangle

https://brainly.com/question/14255155

#SPJ1

Answer:

1.7 gallons

Step-by-step explanation:

You would chand the 1/2 and 4/5 into tenths by multiplying 1/2 by 5 getting 5/10 then multiplying 4/5 by 2 to get 8/10 so you would have 13 5/10- 11 8/10 to get 1.7 gallons left.

Answer:

16

Step-by-step explanation:

The x's go up by 1 (1, 2, 3, 4, 5)

The y's go up by 4's. 0, 4, 8, 12, 16

There is a rule to find the y's from the x's instead:

times by 4 and minus 4.

y = 4x - 4

y = 4(5) - 4

y = 20 - 4

y = 16

The numbers matched with its divisibility numbers is

for 60 the divisibility numbers are 2,3,5,10 .

for 48 the divisibility numbers are 2,3    and

for 81 the divisibility numbers are 3,9 .

In the question ,

three numbers are given as 60 , 48 and 81

we need to match them with their , respective divisibility numbers that are given in the option  

For the first number 60 ,

we see that 60 is divisible by 2 , 3 , 5 and 10 because

30*2 [tex]=[/tex] 60  , 3*20 [tex]=[/tex] 60 , 5*12 [tex]=[/tex] 60 and 10*6 [tex]=[/tex]60 ,

So, for 60 the divisibility numbers are 2,3,5,10

that is option(c)

For the second number 48 ,

we see that 48 is divisible by 2 and 3  because

2*24 [tex]=[/tex] 48 , 3*16 [tex]=[/tex] 48 ,

So , for 48 the divisibility numbers are 2,3

that is option(b)

For the third number 81

we see that 81 is divisible by 3 and 9  because

3*27 [tex]=[/tex] 81 , 9*9 [tex]=[/tex] 81

So , for 81 the divisibility numbers are 3 an 9

that is option(a)

Therefore , The numbers matched with its divisibility numbers is

for 60 the divisibility numbers are 2,3,5,10 .

for 48 the divisibility numbers are 2,3    and

for 81 the divisibility numbers are 3,9 .

The given question is incomplete , the complete question is

Match the numbers 60 , 48 and 81  with its divisibility numbers

(a) 3,9

(b) 2,3

(c) 2,3,5,10

Learn more about Divisibility here

https://brainly.com/question/2684764

#SPJ1