The train from new you’re to Boston goes 100 miles every 80 min. If the distance form New York to Boston is 240 miles, how long does it take to get from New York to Boston? Is it A 19.2 min B 1 hour and 12 min C 3 hours and 12 min D 4 hours. I will give you 100 points plz.

[tex]x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}[/tex]

The answer would be 9/5

Root 81 =9

Root 25 =5

39/50= 0.78 times 100= 78

78 is Donovan's score

if maci's score is 10 percentage points higher

78+10=88

x /50 =0.88 times 100= 88

x=44

each question is 2 points:  88-78= 10/2=5

Maci answered 5 questions correctly.

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.

Option: D is the correct answer.

               D)       [tex]y=\dfrac{1}{2}x+2[/tex]

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of the line.

A)

[tex]y=4x-3[/tex]

The slope of line is: 4

i.e. m=4

and |m|=4

B)

[tex]y=\dfrac{-3}{4}x+5[/tex]

the modulus of slope is:

[tex]|m|=\dfrac{3}{4}=0.75[/tex]

C)

[tex]y=-10x-8[/tex]

The modulus of slope of line is:

[tex]|m|=10[/tex]

D)

[tex]y=\dfrac{1}{2}x+2[/tex]

The slope of the line is:

[tex]|m|=\dfrac{1}{2}=0.5[/tex]

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

Isolate the x. Treat the less than sign as equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 47 from both sides

4x + 47 (-47) < 7 (-47)

4x < -40

Next, divide 4 from both sides

(4x)/4 < (-40)/4

x < -40/4

x < -10

x < -10 is your answer

hope this helps

To find the product of 0.54 and 8, multiply the two numbers together. The product is 4.32.

to calculate the product of 0.54 and 8:

Start by multiplying the whole numbers:

8 * 0 = 0

Next, multiply 8 by the decimal, 0.54:

8 * 0.54 = 4.32

So, you first calculate the product of the whole numbers (8 * 0 = 0), and then you calculate the product of the decimal and the whole number (8 * 0.54 = 4.32).

When you add these results together, you get the final product, which is 4.32.

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Each piece of butter is 0.4 ounces

f(x + 3) = 2x² + 9x + 13

substitute x = x + 3 into f(x)

f(x + 3) = 2(x + 3)² - 3(x + 3) + 4 = 2(x² + 6x + 9) - 3x - 9 + 4

f(x + 3 ) = 2x² + 12x + 18 - 3x - 9 + 4 = 2x² + 9x + 13

The answer for a would be -2 and for b it would be -3. If you added both -2 and -3 together, you would get a sum of -5, and when for the other equation, the negative in front of b will cancel out the negative in front of -3, making it 3, and when you subtract -2 and 3, you'll end up with a difference of 1. a= -2  b= -3

So basically you just want to isolate the variable. So you want n on a side all by itself. so first you multiply by -2 to both sides, that will leave you with the equation n+4=18, then you subtract 4 from both sides, this will give you the equation n=14. To make sure this solution is correct, you can plug it back into the equation filling 14 in for n, this equation is 14+4/-2=-9, and this solution works. Hope this helped :)

Answer:

(c) 4.1 km

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]

Substitute with the givens:

[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km

Hope this helps :)

Answer: 93 dancers did not get on the show.

Step-by-step explanation: Okay to figure this out you change 62% into a decimal which is 0.62. You then multiply 150 by 0.62 and you get your answer which is 93 dancers. I hope this helped! (:

Final answer:

The average yearly rate of change in US college enrollment from 1990 to 2000 was 110,000 students per year.

Explanation:

To calculate the average rate of change in the number of students enrolled in US colleges per year from 1990 to 2000, we can use the following formula: Average rate of change = (Final value - Initial value) / Number of years. In this case, the initial value (1990 enrollment) is 13.8 million students, and the final value (2000 enrollment) is 14.9 million students. The number of years between 1990 and 2000 is 10 years. So, the calculation would be:

Average rate of change = (14.9 million - 13.8 million) ÷ 10 = 1.1 million ÷ 10 = 0.11 million students per year.

This means that, on average, the number of students enrolled in US colleges increased by 110,000 students per year over the 10-year period from 1990 to 2000.

The rate of change is the slope of a line.  The slope of the line can be calculated using the formula [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].  To find the slope of a line using this formula, it is necessary to know two of the points on the line.

The answer you are looking for is -3.

To find this answer, you must get "n" by itself. First subtract 5 from both sides. You would get (-8)n = 24, which you then divide -8 on both sides, to get a final answer of n = -3.

I hope this helps!

X= be coffee

Y=be donuts

Set up equations

10x+5y=16.50

5x+10y=14.25

Now multiply first equation by -2 to get a negative

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 bith sides to get x alone

X= -18.75/-15

X= 1.25

The cost of each coffee cup$1.25

The cost of each coffee cup will be equal to $1.25.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that on Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25.

The cost will be calculated by forming linear expressions below,

X= be coffee

Y=be doughnuts

The equations can be written as,

10x+5y=16.50

5x+10y=14.25

Now multiply the first equation by -2 to get a negative.

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 on both sides to get x alone,

X= -18.75/-15

X= $1.25

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The difference between 12 Celsius and -10 Celsius is 22 degrees.

There are 20 different, whole number, specific degrees between 12 and -10 Celsius.

32.83 because using a calculator, you punch in numbers 4.9 and 6.7 together. Then, you press the equal sign to get 32.83

the best way to understand is putting a number in place of x and seeing if they are equal to eachother so just to make it simple i'll make x=6

so your first equation is 2(6)/3 =12/3=4 now the other equation would be (2/3)6 = 6

i actually solved it putting 2 in place of x and got the same answer for both so i think they're the same

Answer:

The correct answer is 9.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Takala put 9 marbles in the box, jackie put in 7, and laird put in 11.

Before continuing, the most convenient is to add these three things:

9 + 7 + 11 = 27.

We now know that those 27 were divided equally to each other, that is 27: 3.

So we just have to divide:

27: 3 = 9

In this way we can verify that each person obtained 9.

To graph the equation, use the given slope and point to plot two points and draw a line through them.

To graph the equation y - 2 = -3/4 (x - 6) using the given point and slope, we can follow these steps:

Answer: Hence, 25000 patients are fully satisfied with their treatment plan .

Step-by-step explanation:

In a sample of 600 patients , there are 500 patients who were fully satisfied with their treatment plan.

So fraction is given by

[tex]\frac{500}{600}=\frac{5}{6}[/tex]

Now, if we have 30,000 patients ,

then ,the number of patients who were fully satisfied is given by

[tex]\frac{5}{6}\times 30000\\\\=\frac{150000}{6}\\\\=25000[/tex]

Hence, 25000 patients are fully satisfied with their treatment plan .

Answer:

$375.00

Step-by-step explanation:

Answer: $15000

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.

Given: Interest amount = $3,375

Rate of interest = 4.5%=0.045

Time period = 5 years

Let P be the principal amount, then we have

[tex]3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000[/tex]

Hence, the principal amount of the account was $15000.

Your answer would be x=4.

6x-8=4x

sub 6x from both sides

-8=-2x

divide by -2 both sides

x=4

Hope This Helps!!!

Answer:

5.3

Step-by-step explanation:

One rational number can be 5.3

It is rational because it has terminating decimal expansion

Standard Form is ...

ax + by = c

where a ≥ 0, b > 0 (if a=0), and {a, b, c} are mutually prime integers (unless irrational numbers are involved).

You can get there from where you're starting in a couple of steps. Multiply by the least common denominator of any fractions. (Here, you multiply by 4.) Then put the variable terms on the opposite side from the constant term. Make sure the leading coefficient is positive.

... 4y -4 = x -12

... x -4y = 8 . . . . add 12-4y

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is [tex]32\frac{3}{10}[/tex] , here 32 is the whole number  and [tex]\frac{3}{10}[/tex] is the fraction part.

[tex]\frac{3}{10}[/tex] is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is [tex]32\frac{3}{10}[/tex].