Which data set matches the box and whisker plot? A. 12.5, 15, 17, 23, 23, 24, 26, 29, 31, 32, 33 B. 11, 13, 16, 19, 23, 23, 24, 29, 31, 33, 34 C. 11, 12, 15, 18, 24, 24, 25, 27, 30, 32, 34 D. 10.5, 12, 15, 17, 23, 23, 24, 26, 29, 34

Answer:

x = (4z -y)/(3 – y); y ≠ 3

Step-by-step explanation:

3x – xy = 4z - 5y     Factor

  x(3-y) = 4z - y        Divide each side by 3-y

        x = (4z -y)/(3 – y); y ≠ 3

x is undefined when y = 3, so we must include the condition that y ≠ 3.

Answer:

The second dealer is better.

Step-by-step explanation:

To figure this out we need to divide the price by the amount of milk. Lets do both at the same time.

3.8/2=   2.7/1.5=

3.8/2=1.9   2.7/1.5=1.8

The second dealer is better.

Price per unit is the cost of the sing unit or measure of goods or the service provided.The second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.

Given information-

First vendor sells 2 liters for $3.80.

Second vendor sells 1.5 liters for $2.70.

Price per unit is the cost of the sing unit or measure of goods or the service provided.

Price per unit helps to compare the two product with there cost. The less will be the price per unit of a product the product will be more cheaper.

Price per unit is the ratio of the total cost to the number of units.

The vendor which provide more milk in less rate will be the better deal.

As first vendor sells 2 liters for $3.80. Thus the price of milk per liter is,

[tex]P_1=\dfrac{3.80}{2} \\P_1=1.90[/tex]

Hence the first vendor sells the 1 liter milk in $1.90.

As Second vendor sells 1.5 liters for $2.70. Thus the price of milk per liter is,

[tex]P_2=\dfrac{2.70}{1.5} \\P_2=1.80[/tex]

Hence the second vendor sells the 1 liter milk in $1.80.

Hence the second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.

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Answer:

Option 4 which is 1,430.

Step-by-step explanation:

Step 1

In this this step we will break up the terms in the summation symbol using the rules for manipulation summations.

[tex]\sum_{i=1}^{n}(aX^2_i+k)=\sum_{i=1}^{n}(aX)+\sum_{i=1}^{n}k\\\\\sum_{i=1}^{n}(aX^2_i+k)=a\sum_{i=1}^{n}X^2+nk.[/tex]

This means that for our case, the sum can be simplified to be,

[tex]\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2+11\times(-8)\\\\\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2-88[/tex]

Step 2

In this step we use the formula for the sum of the first n squares to evaluate the first part of the sum in step 2. The formula for the sum of the first n squares is,

[tex]\sum_{i=1}^{n}n^2=\frac{n(n+1)(2n+1)}{6} \\\\\implies\sum_{i=1}^{11}i^2=\frac{11(11+1)(2\times 11+1)}{6} =506[/tex]

Step 3

In this step we use the result from step 1 to evaluate the sum.[tex]3\sum_{i=1}^{11}i^2-88=3(506)-88=1,430.[/tex]

The correct answer is Option 4,which is  1,430.

Answer:

[tex]\boxed{\boxed{\sum_{i=1}^{11}(3i^2-8)=1430}}[/tex]

Step-by-step explanation:

The given expression is,

[tex]\sum_{i=1}^{11}(3i^2-8)[/tex]

[tex]=\sum_{i=1}^{11}(3i^2)-\sum_{i=1}^{11}(8)[/tex]

[tex]=3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)[/tex]

we know that,

[tex]\sum_{i=1}^{n}i^2=\dfrac{n(n+1)(2n+1)}{6}[/tex] and

[tex]\sum_{i=1}^{n}c=cn,\text{ Where c is a constant}[/tex]

Hence,

[tex]3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)=3\left(\dfrac{11(11+1)(2(11)+1)}{6}\right)-8(11)[/tex]

[tex]=3\left(\dfrac{11(12)(23)}{6}\right)-8(11)[/tex]

[tex]=3\left(506}\right)-8(11)[/tex]

[tex]=1518-88[/tex]

[tex]=1430[/tex]

I think it's "Adrienne did not enter her ATM withdrawal correctly"

Answer:

" Adrienne did not enter her ATM withdrawal correctly."

D.

Step-by-step explanation: <3

Answer:

14.39

Step-by-step explanation:

a^2 + b^2 = c^2

33^2 + b^2 = 36^2

1089 + b^2 = 1296

1089 - 1089 + b^2 = 1296 - 1089

b^2 = 207

b = 14.39

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.

Answer:

3+4p+8t

Step-by-step explanation:

We have been given an expression:

3+2(2p+4t)

We will simplify the equation:

Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:

3+4p+8t

Since, we have two variables so it can not be further solved therefore,

This is the maximum simplification of the given expression.

Answer:

2 hours

Step-by-step explanation:

To find out how much she has read, we multiply the number of nights by how much read per night

time read = 8 nights * 1/4 hours per night

time read = 8/4 hours

time read = 2 hours

Answer: 2 weeks?

Step-by-step explanation: 1/4 x 8= 2

Answer:

51.544 L  in our tank

Step-by-step explanation:

We have a 13.6 gallon tank

Our conversion factor is 3.79 L = 1 gallon.  We want liters on top since that is where we want to end up

3.79 L /1 gallon is what we want to use

13.6 * 3.79L/1 gallon = 51.544 L  in our tank

Answer:

B) $90!

I hope this helped :D

Answer:

90 is the answer

Step-by-step explanation:

90+50=140

140-50=90

Answer:

The total cost is D) $141

Step-by-step explanation:

To solve we can use the equation: [tex]y=25d+0.10m[/tex]

d= number of days  m= number of miles

We know both of these values so we can plug them in and solve.

y= 25(3) + 0.10(660)

y= 75 + 66

y = 141

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

Angle bisector of the triangle.

To find

The angle bisector of a triangle divides the triangle into two similar triangles always, sometimes, or never.

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

More about the triangle link is given below.

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The angle bisector divides a triangle into two similar triangles Option B) sometimes, specifically when the triangle is isosceles.

1. Isosceles Triangle: In an isosceles triangle, two sides are equal in length. When the angle bisector of the vertex angle is drawn, it also bisects the base, creating two congruent triangles (by the Angle Bisector Theorem). Congruent triangles are always similar, so in this case, the statement holds true.

2. Scalene Triangle: In a scalene triangle, none of the sides are equal. When you draw the angle bisector of one of the angles, it won't necessarily bisect any other side into two equal lengths. Hence, the resulting triangles formed by the angle bisector won't necessarily be similar.

So, the angle bisector divides the triangle into two similar triangles sometimes (when it's an isosceles triangle) but not always (when it's a scalene triangle).

Answer:

16 times the square root of 6

Step-by-step explanation:

2 radical54 simplifies:

2(radical6 x radical9), which is 6 radical6

and 5 radical24 simplifies:

5(radical6 x radical4), which is 10 radical6,

10 radical6 + 6 radical6=

16 radical6

Answer:

30 ÷ 3 = 10 ft each

hope it helps :)))

Step-by-step explanation:

29.8 you can estimate it to 30

so you would divide 30 ÷ 3 = 10

Answer:

0

Step-by-step explanation:

full answer guide attached

Answer:

C

Step-by-step explanation:

the coefficient of a term is the numeric value including the sign in front of the variable/ s

the fourth term in the expression is - 20xy

The coefficient of this term is - 20 → C

f(-4) This means that x is -4, so you can plug in -4 for "x" in the equation

f(x) = 5x + 5

f(-4) = 5(-4) + 5

f(-4) = -20 + 5

f(-4) = -15

Step-by-step explanation:

What number(s)?

The number of minutes the water level would be less than or equal to 64 cups is t ≥ 158.33. option B, C, D

How many minutes would the water level be less than or equal to 64 cups?

The regression equation:

W = -0.414t + 129.549

Where,

t is the number of minutes and

W is the level of water.

When w ≤ 64

W ≤ -0.414t + 129.549

64 ≤ -0.414t + 129.549

Subtract 129.549 from both sides

64 - 129.549 ≤ -0.414t

-65.549 ≤ -0.414t

Divide both sides by -0.414

t ≥ -65.549 / -0.414

t ≥ 158.3309178743961

Approximately, t ≥ 158.33

Therefore, the water level would be less than or equal to 64 cups when t is greater than or equal to 158.33

Answer:

The value of cos 0 = - 2 sqrt(85) /  85 = - 0.216930458

Step-by-step explanation:

cos 0 = ?

Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9

cos 0 = x/r

r=sqrt(x^2+y^2)

Replacing the known values:

r=sqrt( (-2)^2+(9)^2)

r=sqrt(4+81)

r=sqrt(85)

cos 0 = x/r

cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458

Rationalizing:

cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]

cos 0 = - 2 sqrt(85) /  [sqrt(85)]^2

cos 0 = - 2 sqrt(85) /  85

Answer:

600 people

Step-by-step explanation:

We can use ratios to solve this problem.

Change the 30 minutes in to hours

30 minutes = .5 hours

75 people               x people

---------------- = -----------------------

.5 hours                    4 hours

Using cross products

75*4 = .5 *x

300 = .5x

Divide each side by .5

300/.5 = .5x/.5

600 =x

Divide 8.75 by 35 and multiply the result by 100 to get 25 hours.

Answerenise's rock sample has  

38

,

890

centigrams more mass than that of Pauline

:

Step-by-step explanation:

Answer:

6 , 2 , 5 , 7 , 4 , 1 , 3

Step by Step:

1) x - 3(10 - 2x) = -2

x - 30 + 6x = -2

7x - 30 = -2

7x = 28

x = 4

2) x + 2(4 - 2x) = 5

x + 8 - 4x = 5

-3x + 8 = 5

-3x = -3

x = 1

3) 5(18 - 4y) + y = 33

90 - 20y + y = 33

90 - 19y = 33

-19y = -57

y = 3

x = 18 - 4(3)

x = 18 - 12

x = 6

4) 8x + 4(13 - 2x) = 52

8x + 52 - 8x = 52

52 = 52

5) x + 3(-11 + 6x) = 5

x - 33 + 18x = 5

19x - 33 = 5

19x = 38

x = 2

6) -6(5 - 2y) - 3y = -2

-30 + 12y - 3y = -2

-30 + 9y = -2

9y = 28

y = 3

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

7) 2x + 3(10+x) = 45

2x + 30 + 3x = 45

5x + 30 = 45

5x = 15

x = 3

Answer:

The order for the systems is 2), 5),7), 1) and 3)

Step-by-step explanation:

To find the solution for ecah system first you have to choose a method, for example you can isolate one of the variables (x or y) in both equations and then equal each other.

1) 2x + y = 10 ⇒ y= 10 - 2x

  x - 3y = -2 ⇒ -3y = -2 - x ⇒ y = (-2 - x)/-3 ⇒ y = 2/3 + (1/3)x

Now you have to equal both equations

10 - 2x = 2/3 + (1/3)x ⇒ 10 - 2/3 = (1/3)x + 2x ⇒28/3 = (7/3)x

⇒ (28/3)/(7/3) = x ⇒ 4.

With the "x" value obtained we return to the original equations and replace it there to find "y".

2x + y = 10 ⇒ 2(4) + y = 10 ⇒ y= 10 - 8 ⇒ y =2

The solution to the system is (4,2).

If you do the same for all the systems you will find that the solutions are

2) x + 2y = 5

 2x + y = 4

Solution = (1, 2)

3) 5x + y = 33

   x = 18 − 4y

Solution = (6,3 )

4) y = 13 − 2x

  8x + 4y = 52

Solution = ∅, no solution

5) x + 3y = 5

  6x − y = 11

Solution = (2, 1)

6) 2x + y = 10

   -6x − 3y = -2

Solution = ∅, no solution.

7) y = 10 + x

  2x + 3y = 45

Solution = (3, 13)

Answer: [tex]F=15N[/tex]

Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

[tex]F=ka[/tex]

Where [tex]F[/tex] is the force acting on the object, [tex]a[/tex] is the object's acceleration and [tex]k[/tex] is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting [tex]F=18[/tex] and [tex]a=6[/tex] into the equation and solving for [tex]k[/tex]:

[tex]18=k6\\k=\frac{18}{6}\\k=3[/tex]

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

[tex]F=3(5)\\F=15[/tex]

3. The result is:

[tex]F=15N[/tex]

The acceleration that an objects gains is given by the mass of the object.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

[tex]Mass, \, m = \dfrac{F}{a}[/tex]

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

[tex]Mass \ of \ the \ object, \, m = \dfrac{18 \, N}{6 \ m/s^2} = 3 \, kg[/tex]

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

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Answer: You take the 2 middle columns in this case the purple gray looking one and the brown one and add them together divide them by 2

Step-by-step explanation:

Answer:

-g * (2+5)

Step-by-step explanation:

The opposite of g times the quantity 2 plus 5

Opposite means put a negative sign

times means multiply

Quantity means parenthesis

plus means addition

-g * (2+5)

The problem 'The opposite of g times the quantity 2 plus 5' translates into the mathematical equation -g*(2+5) or -g*7 in which g is multiplied by 7, and the result is negated.

The word sentence 'The opposite of g times the quantity 2 plus 5' can be represented by the equation -g*(2+5) or -g*7, where * denotes multiplication, + denotes addition, and - denotes opposite or negation. Therefore, the interpretation of the sentence is 'multiply g by 7 and then take the opposite or negative of the result'. The use of parentheses ( ) in the equation ensures we first perform the addition within, according to the order of operations in math, most commonly known as BIDMAS/BODMAS or PEMDAS rules.

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