When there is no traffic, it takes Rina 4 hours to get from Boston to New York. Once, Rina started her trip to New York at a speed of 60 mph, but after 2 1/3 hours of driving she stopped for 40 minutes. She had to drive at a speed of 45 mph for the rest of her trip. How long was her trip?

Answers

Answer 1

The whole trip was 0.185 Km or 185 m long.

What is speed ?

Speed is the time rate at which an object is moving along a path.

Given:

For 7/3 hours speed is = 60 mph = 0.06 kmph

For 40 minutes or 2/3 hours = 0 mph

for 1 hours = 45 mph  or 0.045 kmph

The total distance she travels

= 7/3*0.06+ 2/3*0+ 1*0.045

=0.185 Km or 185 m

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Related Questions

The monthly rents for five apartments advertised in a newspaper were $650, $650, $800, $1900, and $820. Use the mean, median, and mode of the rents to answer the question. Which value best describes the monthly rents?

Answers

Answer:

The Median Best Describes The Monthly Rents

the mean is add up all the numbers and then divide by the amount of numbers so it is 4820 then divide by 5 = 964 so the mean of all of then is 964

the median you have to put it in slamets to biggest so 650 650 800 820 1900 and then you have to put the one(s) in the middle witch is 800 so the median is 800

the mode is the most common numbers that show up and there is 2 650 and one of everything else so the mode is 650

Hope This Helped

27 Which describes how the data for word 2 should be plotted on a coordinate grid? From the origin, go 2 units to the right and 9 units up. From the origin, go 2 units to the right and 12 units up. From the origin, go 9 units to the right and 12 units up. From the origin, go 12 units to the right and 9 units up.

Answers

The statement which describes how the data should be plotted on a coordinate grid is: C. from the origin, go 9 units to the right and 12 units up.

What is a coordinate grid?

A coordinate grid can be defined as a two-dimensional plane which comprises a horizontal line (x-axis) and a vertical line (y-axis) that are perpendicular to one another.

For this coordinate grid, the number of letters in the data for word 2 should be plotted on the x-axis and the percentage of students who spelled the word correctly on the y-axis.

Based on the table, the number of letters for word 2 is equal to 9 while the percentage of students who spelt it correctly is 12.

In conclusion, to plot the data on a coordinate grid, from the origin, go 9 units to the right and 12 units up.

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Complete Question:

The table of values below shows data for a five-word spelling test. Number of Letters vs. Percentage who Spelled Correctly Word Number of letters in the word Percentage of students who spelled the word correctly. Which describes how the data for word 2 should be plotted on a coordinate grid?

There is a rack of 11 billiards balls, numbered from 1 to 11. If one ball is selected at random, determine the odds in favor of it being at an even-number ball.

Answers

Answer:

5/11 odds  /   45.45% chance of being even-numbered

Step-by-step explanation:

There are 5 even-numbered balls (2, 4, 6, 8, 10) and 6 odd-numbered balls  (1, 3, 5, 7, 9, 11). So, 5 / 11 balls are even-numbered

if a ball is selected, it has a chance of 5/11 for being even-numbered

5/11 also = 45.45 % [rounded] chance of being even-numbered    

Question 1 Justify whether P(x) 5x+0.3x4 √3x + 4x² x3 is a polynomial or not.​

Answers

Answer:

square root = not polynomial

Factor by grouping
5y^3(y-2)-15y(y-2)

Answers

5y³(y-2)-15y(y-2)

= (y-2)×(5y³-15y)

check whether the system of equations is consistent or inconsistent 7/2x-2/3y+9=0; 2x-3y-8=0​

Answers

Answer:

hi,

Step-by-step explanation:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Here the system has one solution.

2. If the parent function is y= 4*, which is the function of the graph?
2
4
y=-2(4)*
y=2(4)*
y=3(4)*

Answers

A function assigns the values. The function of the given graph is y=3(4)ˣ, thus, the correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is:

If the parent function is y = 4ˣ, which is the function of the graph?

y = −2(4)ˣ

y = −3(4)ˣ

y = 3(4)ˣ

y = 2(4)ˣ

Since the graph intersect the y-axis at 3, and the parent function of the function is y=4ˣ, therefore, we can write,

y = A(4)ˣ

3 = A(4)⁰

3 = A × 1

A = 3

Hence, the function of the given graph is y=3(4)ˣ, thus, the correct option is C.

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the diagram below shows the use of diverging lens for correction of​

Answers

Answer:

E

Step-by-step explanation:

The diagram below shows the correct use of diverging lens for correction of myopia.

At Amy's candy store, small boxes (s) of chocolates contain 12 pieces, and large boxes (L) of chocolates
contain 45 pieces. A customer buys 8 boxes of chocolate containing a combined total of 195 pieces. Which
system of equations models this situation?

Answers

Step-by-step explanation:

x = number of small boxes

y = number of large boxes

these equations model the situation :

x + y = 8

12x + 45y = 195

FYI - the solution :

from the first equation we get

x = 8 - y

we use that in the second equation

12(8 - y) + 45y = 195

96 - 12y + 45y = 195

33y = 99

y = 3

x = 8 - y = 8 - 3 = 5

Solve: XIV – VI. Show your answer as a Roman Numeral.


A. XIV
B. XII
C. X
D. VIII

Answers

Answer:

XIV - VI = VIII

Step-by-step explanation:

14 - 6 = 8

Hope this helps

George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day.
If they worked on the garden today, the number of days until they work on the same day again would be.

Answers

It’s 23 because of lebron James

Which value of w makes this equation true?
[tex]\frac{5w + 4 }{3} = \frac{3w}{2}

Answers

Answer: -8

Step-by-step explanation:

[tex]\frac{5w+4}{3}=\frac{3w}{2}[/tex]

Cross-multiplying,

[tex]2(5w+4)=9w\\10w+8=9w\\w+8=0\\w=\boxed{-8}[/tex]

Find the remainder when x4 - 5x3 + x2 - 10x - 5 is divided by x + 3.

Answers

Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials [tex]q(x)[/tex] and [tex]r(x)[/tex], respectively, such that

[tex]x^4 - 5x^3 + x^2 - 10x - 5 = (x + 3) q(x) + r(x)[/tex]

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of

[tex]r(-3) = (-3)^4 - 5\times(-3)^4 + (-3)^2 - 10\times(-3) - 5 = \boxed{250}[/tex]

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for pi , and round your answer to the nearest tenth.

Answers

The area and the perimeter of the figure will be 38.13 in² and 23.42 inches respectively.

How to calculate the area?

The area will be:

= Area of semi circle + Area of rectangle

= (1/2 × 3.14 × 3²) + (6 × 4)

= 14.13 + 24

= 38.13 inches²

The perimeter will be:

= (3.14 × 3) + (4 + 6 + 4 + 9.42)

= 23.42 inches

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I need help this is due tomorrow
The stem-leaf plot shows student’s scores on the last math test.

Answers

Answer:

1) 8

2) the median of the scores is 81

3) So, 8 students scored in the 70s, and the median score is 81

Step-by-step explanation:

1) the number of numbers listed is how many numbers there are

EX: 4| 1, 2, 5, 6 (where 4|1 equals 41) there are four numbers listed: 41, 42, 45, 46

2) the median is the middle number! when you list all of the numbers, the one in the middle is the median!

EX: 2, 4, 5, 8, 10the median would be 5! why? because it's in the middle!

let me know if any of this is confusing and i'll try to explain it further :)

Fill in the blank (check all that apply).

2y and ____ are like terms.

Answers

Answer:

y,3y,4y,5y,6y,7y,8y,9y,10y ----------

Step-by-step explanation:

because if the variable is similar with y it is like term of 2y

Answer:

y,3y,4y,5y,6y,7y,8y,9y,10y ----------

Step-by-step explanation:

because if the variable is similar with y it is like term of 2y

3. Find the measures of the angles in the figure.

Answers

Answer:

60° , 60° , 120° , 120°

Step-by-step explanation:

NOTE :

the sum of the 4 interior angles of a quadrilateral is 360°.

…………………………………………

Then

h + h + 2h + 2h = 360

Then

6h = 360

Then

h = 360 ÷ 6 = 60

Then

2h = 2 × 60 = 120

An icicle drips at a rate that can be represented by the function f(x) = −x2 + 8x − 7, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. When f(x) is a negative number, the icicle is not dripping. Determine the values when the icicle starts and stops dripping.

Answers

Find when f(x) = 0. By factorizing, we have

-x² + 8x - 7 = - (x - 7) (x - 1) = 0

so either x - 7 = 0 or x - 1 = 0, or simply x = 1 or x = 7.

Split the domain into three intervals, and check the sign of f(x) over each interval at some test point in the interval. The sign will tell you when the icicle is dripping (positive) or not (negative).

• [0, 1) : at x = 0, we have f(0) = -7 < 0

• (1, 7) : at x = 2, we have f(2) = 5 > 0

• (7, 10] : at x = 8, we have f(8) = -7 < 0

This tells us that the icicle is not dripping when 0 ≤ x < 1, begins to drip when x = 1, drips for the duration of 1 < x < 7, stops dripping when x = 7, and keeps on not dripping when 7 < x ≤ 10.

Q.3 If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong?

Answers

The number of ways to check off one answer to each question is; 20ways.

The number of ways to check off one answer to each question and get it wrong is; 15ways.

In how many number of ways can a student check off one answer to each question?

a) Since each question has four possible answers, it therefore follows that the student can choose any of 4 options in each question and consequently, the number of different ways is; 4 × 5 = 20.

b) Since only one option is correct, it follows that there are 3 wrong choices in each question case and hence, the number of ways to pick one wrong answer is; 3 × 5 = 15.

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19% of what number is $6.46?

Answers

Answer:

here's the answer

Step-by-step explanation:

19/100*x=6.46

x=$34

what is a variable in mathematics?

Answers

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Step-by-step explanation:

In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.

st: Two- and Three-Dimensional Geometry
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The
small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches
prior to being cut. What is the volume of the resulting part illustrated in the figure?

Answers

9inches is needed to solve this work

determine the general rule for0,3,8,15​

Answers

Answer:

a_n = n^2 − 1

Step-by-step explanation:

The numbers can be described as a polynomial with the following formula:

a1 = 1^2 − 1 = 1 - 1 = 0

a2 = 2^2 − 1 = 4 - 1 = 3

a3 = 3^2 − 1 = 9 - 1 = 8

a4 = 4^2 − 1 = 16 - 1 = 15

a5 = 5^2 − 1 = 25 - 1 = 24

Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-half x minus three-halves?
f Superscript negative 1 Baseline (x) = one-half x minus three-halves

Answers

A function assigns the value of each element of one set to the other specific element of another set. The inverse of the function g(x)=-2x -3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Two function are inverse of each other if,

f(g(x))=x

g(f(x)) = x

Since the function is inverse, therefore, we can write,

g(f(x)) = a(-1x/2 - 3/2) + b

x = -ax/2 - 3x/2 + b

-a/2 = 1

a = -2

-3a/2 + b = 0

b= -3

Thus, the inverse of the function g(x)=-2x -3.

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Answer:

the inverse of the function g(x)=-2x +3 .

Step-by-step explanation:

Which algebraic expression is a polynomial?

Answers

The algebraic expression that is a polynomial is -6x³ + x² - √5

How to know a polynomial?

Polynomials are algebraic expressions that consist of variables and coefficients.

In a simpler term a polynomial can have constants, variables and exponents, but never division by a variable.

Therefore, the polynomial among the options is as follows:

-6x³ + x² - √5

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What is the Reciprocal of 5 1/2

Answers

Answer:

2/11

Step-by-step explanation:

A reciprocal is a number or fraction flipped. So, 5 1/2=11/2. 11/2 flipped is 2/11.

help me omg omg omg omg omg

Answers

Answer:

= -1.2 + 3.28d

Step-by-step explanation:

0.4 * -3 + 0.4 * 8.2d

= -1.2 + 3.28d

0.2(7 + 2t) = 0.4t + 1.4

Answers

Answer:

all real numbers

Step-by-step explanation:

When you factor in the .2 on the left side you are left with 1.4 + .4t which is equal to the other side. And so, no matter what value for t you plug in, they will always be equal to eachother.

5
The photograph shows identical red books and identical black books.
All pages have the same thickness.
Which pile has the greater
mean number of pages per book?
Pile W
Pile Y
Explain how you know.

Answers

Pile Y has the greater mean number of pages per book because it is 5 books less than pile W.

How to calculate greater mean number of pages?

From the complete information, we can deduce that the number of each pile of book is given as follows:

For pile W;

Red books = 10 × 5 = 50 red books.

Blue books = 5 × 5 = 25 blue books.

Therefore, total books in pile W = 50 + 25 = 75 books.

Mathematically, the mean for each pile can be calculated by using the following formula:

Mean = [F(x)]/n

Mean = 75/10

Mean = 7.5.

For pile Y;

Red books = 10 × 5 = 50 red books.

Mean = [F(x)]/n

Mean = 50/5

Mean = 10.

In conclusion, pile Y has the greater mean number of pages per book because it is 5 books less than pile W.

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y is directly proportional to x 2 . If y = 12 when x = 2 find x when y = 300

Answers

y ——> x 2

12 —-> 2 power 2

300 —-> ?

300 x 4 over 12 = 100

100= x squared

square root 100 = x = 10
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