Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?

Answers

Answer 1

Answer:

132 tiles

Step-by-step explanation:

We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.


Related Questions

If y varies jointly with x and y=5 when x=15 and z=24 find y when x=6 and z=14

Answers

Answer:

if they vary together then y would be 2

Step-by-step explanation:

since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y

HELP ME ON THIS ONE PLZ NEED ANSWERS
What is the domain and range of each relation?



Drag the answer into the box to match each relation.

{(−7, 2), (−2, 2), (0, 1), (4, 5)}


A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.

Answers

Answer:

See below.

Step-by-step explanation:

The domain of a relation are simply its x-values, while the range of a relation are its y-values.

1)

We have the relation:

{(-7,2), (-2,2), (0,1), (4,5)}

Again, the domain of this relation are the x-values. Therefore, the domain is:

{-7, -2, 0, 4}

The range of this relation are the y-values. Therefore, the range is:

{2, 1, 5}

Note that even though the 2 repeats, we only count it once because it's the same.

2)

We have the relation:

{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}

The domain are the x-values. Therefore, the domain is:

{-4, -3, -1, 1}

Again, the -3 repeats so we only count it once.

And the range would be the y-values:

{-3, -1, 4}

It's customary to place them in ascending order.  

Answer:

If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain

Step-by-step explanation:

domains are -7,-2,0,4

range are 2,1,5

I hope this is helpful for you

explain constraint of domain on parabola graphs

Answers

Answer:The set of possible values for the independent variable is called the domain. Similarly, there are constraints on the values for any dependent variable. ... Graphs of functions are traditionally drawn with the independent variable on the horizontal axis and the dependent variable on the vertical axis.

Step-by-step explanation:

Can someone help with this.... thanks!

Answers

Answer:

3244.5

Step-by-step explanation:

LxW=A

Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)

Answers

Answer:

q .no d

Step-by-step explanation:

64p^3+125

4p^3+ 5^3

(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)

(4p+5) (16p- 20p+ 25)

Answer:

The answer is

(4p + 5)( 16p² - 20p + 25)

Step-by-step explanation:

64p³ + 125

Write the number in exponential form of 3

That's

4³p³ + 5³

Multiply the terms

That's

(4p)³ + 5³

Using the formula

a³ + b³ = ( a + b)(a² - ab + b²)

Factor the expression

That's

( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]

Solve the terms in the bracket

We have the final answer as

(4p + 5)( 16p² - 20p + 25)

Hope this helps you

The cost to order 2 hamburgers and a milkshake from the menu shown is _____. $4.30 $5.30 $3.55 $5.35

Answers

Answer:

$5.30

Step-by-step explanation:

2 hamburgers = 2 ( 1.75)  = 3.50

1 milkshake =   1.80

Add them together

3.50+1.80 = 5.30

Answer:

5.80

Step-by-step explanation:

Given:

Price of hamburger=1.75

"of Hot dog=1.25

"of French fries=0.95

"of Milkshake=1.80

"of Soda pop=0.75

Required:

The cost to order 2 hamburgers and a milkshake from the menu shown=?

Formula:

2(Hamburger)+1(Milkshake)=Cost

Solution:

2(1.75)+1(1.80)=5.30

3.5+1.80=5.30

Hope this helps ;) ❤❤❤

The total cost f(x), in dollars, for renting a car for a day and driving it x miles is shown: f(x) = 90 + 0.11x What does f(30) represent?

Answers

Answer:

f(30) represents the total cost when the car is driven 30 miles

Step-by-step explanation:

f(30) is the y value when x= 30

Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.

We solve this by plugging 30 in for x:

f(30)= 90 + 0.11(30)

f(30)= 90 + 3.3

f(30)= 93.3

Thus, renting a car for a day and driving it 30 miles costs $93.30

6/3x = 3. What is x?

Answers

Steps to solve:

6/3x = 3

~Multiply 3/6 to both sides

x = 3/2

Best of Luck!

Answer:

x = 3/2

Step-by-step explanation:

Hey there!

To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.

Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.

This leaves us with 2x = 3.

Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.

Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.

By performing this step, it leaves us with x = 1.5.

[tex]{\frac{2x}{2}=\frac{3}{2}}\\\\\bold{x = \frac{3}{2}}[/tex]

We can reduce [tex]\frac{3}{2}[/tex] to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as [tex]\bold{x=\frac{3}{2}}[/tex].

Miss White wants to buy 5 value meals at Mel’s Diner.
What is the reasonable total for her purchase?

A. $25
B. $1,000
C. $100
D. $10

Need answer ASAP

Answers

Answer: A

Step-by-step explanation:

Divide each total by 5 to get 5, 200, 20, 2.50.  $5 per value meal is the most fair price.

Hope it helps <3

If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.

B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable

C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal

D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.

Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.

Learn more about the unitary method;

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confused on this one
1. Assume that m26 = 60°. What must be true about 26 and 23 for the
lines to be parallel? Name the postulate or theorem that you used in
this justification

Answers

Answer:

The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.

Step-by-step explanation:

In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.

Please answer both questions

Answers

Answer:

36 and 24

Step-by-step explanation:

Answer:

Part a : 20 units², Part d : 12 units²

Step-by-step explanation:

We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.

Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,

Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,

4 [tex]*[/tex] 4 = 16 units²

Area of inscribed Square = 36 units² - 16 units² = 20 units²

For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,

Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,

Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,

12 [tex]*[/tex] 2 = 24 units²

Area of inscribed shape = 36 units² - 24 units² = 12 units²

Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?

Answers

1 blue paper chain and 2 red paper chains

Answer:

1 blue paper chains and 2 red

Step-by-step explanation:

becuase 4 plus 3 plus 3 is 10

What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0

Answers

Answer:

3

Step-by-step explanation:

(x+(×+12)=(×+4×+14)-3

×+×+12=×+4×+14-3

2×+12=5×-2×

+12-11=5×-2×

-1=3×

What is -6/7 x (-3/8)

Answers

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

[tex] \frac{9}{28} [/tex]

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY 20 MINS LEFT

Answers

Answer:

This indicates that the point of intersection is: (8,-6)

Step-by-step explanation:

The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.

The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.

In this case you have y=14−2.5x and y=1.5x−18

Equating the equations you get:

14-2.5x=1.5x-18

Solving:

14+18=1.5x+2.5x

32=4x

32÷4=x

x=8

Replacing in both equations: y=14-2.5*8=-6

y=1.5*8-18=-6

This indicates that the point of intersection is: (8,-6)

The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18

The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)

Answers

Answer:

[tex]\Large \boxed{(x+4)(x-1)}[/tex]

Step-by-step explanation:

Hello,

[tex]x^2+3x-4\\\\\text{*** The product of the zeroes is -4=-1*4 and their sum is -3=-4+1. ***}\\\\\text{*** So we can factorise. ***}\\\\x^2+3x-4=x^2-x+4x-4=x(x-1)+4(x-1)=\large \boxed{(x+4)(x-1)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The factors of given function are (x + 4) and (x - 1)

To undestand more, check below explanation.

Factors of function:

The modeled for algebra tiles is given as,

                 [tex]f(x)=x^{2} +3x-4[/tex]

We have to find the factors of given function.

Factoring means finding expressions that can be multiplied together to give the given equation.

If a quadratic equation can be factored, it is written as a product of linear terms.

            [tex]f(x)=x^{2} +3x-4\\\\f(x)=x^{2} +4x-x-4\\\\f(x)=x(x+4)-1(x+4)\\\\f(x)=(x+4)(x-1)[/tex]

Hence, the factors of given function are (x + 4) and (x - 1)

Learn more about the factors here:

https://brainly.com/question/25829061

The endpoints of a line segment can be represented on a coordinate grid by the points
A(-4, 1) and ((-4, -3). Graph and label each of the endpoints of the line segment on
the coordinate grid below.

Answers

I hope this help you


HLP ! HLP ! Please and thank you

Answers

Answer:

Yes, it is an exponential function. The base is 2.

Step-by-step explanation:

As you can see, the function is f(x) = 2^(2x).

Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.

The base is 2 because 2x, the exponent, is applied to it.

---

I hope this helps, let me know if you have any questions.

Yes ! Woah that person is correct C;

PLEASE ANSWER ASAP!!!!!! WILL MARK BRAINLY

Answers

Answer:

i think u r correct

Step-by-step explanation:

good job

Answer:

B, C, and E ([tex]x\leq -7,[/tex] The graph has a closed circle, and -7 is part of the solution.)

Step-by-step explanation:

Let's first solve the inequality of [tex]15\geq 22+x[/tex].

[tex]15\geq x+22[/tex]

[tex](15)-22\geq( x+22)-22[/tex]

[tex]-7\geq x[/tex]

[tex]x\leq -7[/tex]

So the final equation comes out to be [tex]x\leq -7[/tex].

This graph has a closed circle as it is a greater than OR equal to.

And -7 is a part of this solution as it is the number x is being compared to.

Let me know if I got anything wrong.

Hello!! I Need HElp ASAP PLEAASSEE

The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?

-2
- 1/2
-1

Answers

Answer:

  a = -1

Step-by-step explanation:

The line of symmetry for the parabola given by ...

  y = ax² +bx +c

is

  x = -b/(2a)

Using the given values, we have ...

  -2 = -(-4)/(2a)

Multiplying by -a/2, we get ...

  a = (4/2)(-1/2) = -1

The value of "a" is -1.

is the square root of 34 rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

If a square root is not a perfect square, then it is considered an irrational number.

The square root of the number 34 is not a rational number

How to determine the type of the number

From the question, we have the following parameters that can be used in our computation:

The square root of the number 34

When evaluated, we have

The square root of the number 34 = √34

So, we have

The square root of the number 34 = 5.83.....

The above number cannot be represented by the quotient of 2 integers

Using the above as a guide, we have the following:

We can conclude that the number is an irrational number

Read more about rational number at

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Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

Answer:

10

Step-by-step explanation:

This triangle is divided into 2 identical rigth triangles.

We will use the pythagorian theorem:

●8^2+ (12/2)^2 =x^2

● 64 + 36 = x^2

● x= 10

So x is 10

Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC Urgent, need this immediately. PLS EXPLAIN

Answers

Answer:

[tex]B(x,y) = (-3,0)[/tex]

Step-by-step explanation:

Given

[tex]A = (6,-6)[/tex]

[tex]C = (-6,2)[/tex]

[tex]AB = \frac{3}{4} AC[/tex]

Required

Find coordinates of B

First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]

SInce [tex]AB = \frac{3}{4} AC[/tex], then

[tex]AB : BC = 3 : 4 - 3[/tex]

[tex]AB : BC = 3 : 1[/tex]

The coordinates of B can then be calculated as follows;

[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]

Where

[tex]A(x_1,y_1) = A(6,-6)[/tex]

[tex]C(x_2,y_2) = A(-6,2)[/tex]

[tex]m:n = 3 : 1[/tex]

Substitute these values in the given formula;

[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]

[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]

[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]

[tex]B(x,y) = (-3,0)[/tex]

Hence, the coordinates of B is [tex](-3,0)[/tex]

(-3,0)..................

Which of the following is most likely the next step in the series?

Answers

Answer:

C.

Step-by-step explanation:

Well if 1 is blue and 2 is tan and 3 is blue and across from 1.

Then 4 will be tan because it is across from 2 which is tan.

C.

Answer:

C

Step-by-step explanation:

It goes blue, blue pink, blue pink blue, so according to the pattern the next would be pink.

p.s. thank you so much for all the points!!!!! Like the other answer said brainliest is always appreciated. Here I am, question #2. You can award it to them now 8-D

Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.

Answers

Answer:

1 and 3.

Step-by-step explanation:

The given system of equations

[tex]2x-7y=-13[/tex]     ...(1)

[tex]-2x+11y=1[/tex]     ... (2)

Here, coefficients of x have same values with opposite signs.

The x-variable will be eliminated when adding the system of equations.

Add (1) and (2), we get

[tex]2x-7y-2x+11y=-13+1[/tex]

[tex]4y=-12[/tex]

Divide both sides by 4.

[tex]y=-3[/tex]

Put y=-3 in (1).

[tex]2x-7(-3)=-13[/tex]

[tex]2x+21=-13[/tex]

[tex]2x=-13-21[/tex]

[tex]2x=-34[/tex]

Divide both sides by 2.

[tex]x=-17[/tex]

So, the given system of equations have unique solution, i.e., (-17,-3).

Therefore, the correct options are 1 and 3.

On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)

Answers

Answer:

Hey there!

96 correct/120 total= 4 correct/5 total.

Thus, the student had 0.8 of the answers correct, or 80% of them

Hope this helps :)

Answer:

please mark me as the brainliest

Step-by-step explanation:

80%

solve x^2+5x-2=0 Enter your answers,as exact values, in the boxes.

Answers

Answer:

                 √33

x = -5/2 ± ---------

                     2

Step-by-step explanation:

Through completing the square, we get:

x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or

(x + 5/2)^2 - 25/4 - 2 = 0.

This simplifies to

(x + 5/2)^2 = 33/4

Taking the square root of both sides yields:

x + 5/2 = ±√(33/4), which can be solved explicityl for x:

                 √33

x = -5/2 ± ---------

                     2

Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
she sells is $50.
Write an inequality to describe about how many shares Mrs. Lobo must sell to make an annual income of at
least $70,000
Select one:
O a. 50,000 + 2x > 70,000
O b. 50,000 + 2x < 70,000
O c. 50,000 -- 2x > 70,000
d. 50,000 + 2 > 70,000

Answers

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?

Answers

Answer:

The 6 lemons for 2.50 is the better deal.

Step-by-step explanation:

2*3=6

3*0.99=2.97

2.97>2.50

Which expression is correctly written in scientific notation?

A. 398 x 10^1 B. 39.8 x 10^2

C. 3.98 x 10^4 D. .398 x 10^3


Need answer ASAP

Answers

Answer:

C. 3.98 x 10^4

Step-by-step explanation:

We are only allowed one non zero digit before the decimal

A. 398 x 10^1   3 non zero digits

B. 39.8 x 10^2   2 non zero digits

C. 3.98 x 10^4 1 non zero digit

D. .398 x 10^3  0 non zero digits

Answer is C :3.98x10^4
Other Questions
Read the following excerpt from A Christmas Carol by Charles Dickens. In it, a business owner named Ebenezer Scrooge discusses the poor and working classes: If they would rather die, said Scrooge, they had better do it, and decrease the surplus population. Think about what you have learned about various thinkers of the Industrial Revolution. Whose ideas are reflected in the excerpt? James Watt Adam Smith Thomas Malthus Robert Owen Write the number in scientific notation.a) 423.6b) 7,194,548c) 500.23d) 71.23884e) .562f) .0348g) .000123h) .5603002 Given that C is at (-6, -1) and D (4, 8), find the point P that partitions CD into the ratio of 1:3. Which type of cell can duplicate indefinitely? Two students performed the same experiment, testing how far iodine will diffuse through starchy tissue, such as potatoes. They cut 5 potato squares each, all of equal sizes, and placed them into small cups with iodine solution for 15 minutes. Then they measured how far from the edge of the potato the iodine diffused into the potatoes, in millimeters.Distance Diffused (mm) Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 Student 1 3.25 3.17 3.26 3.64 3.44Student 2 3.14 3.43 3.22 3.37 3.281. What is the range of student 1's results? a. 3.35 b. 0 29 c. 0 47 d. 3 292. Why do scientists conduct experiments? a. To test their results. b. To test a hypothesis. c. To test a conclusion. d. To explain an observation. Ethane burns according to the following reaction: 2C2H6 + 7O2 4CO2 + 6H2O + 2.86 x 103 kJ How much heat can be generated when 185 grams of oxygen gas (MW = 32 g/mol) are consumed? URGENT!!! Please help me with this question!!!!!! I will not accept nonsense answers! Even though we can say that Columbus did not discover anything new, why is his voyage across the Atlantic still seen as one of the key events in human history volume please 20* points step-by-step plan for dealing with a chemical splashed in your eyes. K heres another one please help When two or more medicines are taken at the same time, they can work together in one of three ways: additive, synergistic, or antagonistic interaction. What is synergistic interaction? A. when two medicines work together in a positive way without causing any harm B. when the effect of one medicine is reduced or cancelled by another one C. when one medicine boosts the effect of the other one Why might the author have included the detail about Father Paul picking up the magazine? It illustrates the constant conflict Father Paul faces in trying to communicate with Leon. It establishes Father Paul as a well-read intellectual. It suggests that similar missionary work was causing conflict in other places as well. It shows that he was trying to remind himself that he did not agree with the peoples beliefs. Kevin is maximizing his utility consumption of almond butter sandwiches and sushi. There is a boom in fish in the summer and the price of sushi suddenly drops. What will the price change most likely change in Kevin's consumption behavior? Group of answer choices Kevin will stick to his original indifference curve to a point intersecting the new budget constraint. Kevin's budget constraint and indifference curves will not change since the price of sushi has not changed Kevin will change his new budget constraint to be tangent to the original indifference curve at some point. Kevin will increase consumption with the bundle of goods at a new higher indifference curve tangent to the new budget constraint. what is [tex] \frac{2ax + 3}{ax + 3} = - 1[/tex]x value PLEASE help me with this question!!! I really need help... QUESTION 7The six dimensions of wellnessa, affect health independently of each other,b. are interrelated.C. Seldom influence one another.d. demonstrate the separateness of mind and body. Use the given sample data to construct the indicated confidence interval for the population mean. The principal randomly selected six students to take an aptitude test. Their scores were: 71.6 81.0 88.9 80.4 78.1 72.0 Determine a 90% confidence interval for the mean score for all students. Group of answer choices Kaylee has $4,500 for a down payment and thinks she can afford monthly payments of $300. If he can finance a vehicle with a 7%, 4-year loan (assume a 0% tax rate), what is the maximum amount Kaylee can afford to spend on the car? [use the calculation in the text or the online calculators in the resource section] Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate the sum of the interior angles of a 12-sided object without measuring them