Nick is driving to a town 30 miles away. He is averaging about 45 miles per hour. If he makes no stops, how long will the trip take (in minutes)?

Answers

Answer 1

First, change the 45 miles per hour to x miles per minute, since the problem is asking for the answer in minutes.

45 miles per hour
= 45 miles per 60 minutes
= 3/4 mile per minute

Now, use a ratio to solve.
30 miles : x minutes = 3/4 mile : 1 minute
30=3/4x
x=40

Nick will take 40 minutes to get to the town.

Hope this helps!

Related Questions

If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long, what is the average shoulder width, in feet, of the people in the line?

Answers

the answer in scientific form is 1.829198 • 10^9 but not in scientific form would just be 346,439 times 5280

Answer: [tex]1.83\text{ feet}[/tex]

Step-by-step explanation:

Given : If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long.

We know that 1 mile =5280 feet

Then, the length of line=[tex]346439\times5280=1829197920[/tex] feet

We know that 1 billion can be written as :

[tex]1,000,000,000=10^9[/tex]

Now, the average shoulder width of the people in the line :-

[tex]\dfrac{1829197920}{1000000000}=1.8291979\approx1.83\text{ feet}[/tex]

Hence, the average shoulder width of the people in the line is about [tex]1.83\text{ feet}[/tex]

Which would take up more space, a pound of granite or a pound of basalt?

Answers

Since basalt is denser than graphite, a pound of basalt would take up less space

Answer:

1 pound of granite

Step-by-step explanation:

The density of granite is 168.6 lb/ft³. The volume occupied by 1 pound of granite is:

1 lb × (1 ft³/168.6 lb) = 0.00593 ft³

The density of basalt is 188 lb/ft³. The volume occupied by 1 pound of basalt is:

1 lb × (1 ft³/188 lb) = 0.00532 ft³

As we can see, 1 pound of granite takes up more space than 1 pound of basalt.

Jorge says there are 198 inches in 5.5 yards. Is he correct?

Answers

yess Jorge is correct

36 inches in 1 yard so
5 times 36=180
1/2 of 36( to get the.5) = 18
180+18= 198
so he is right

A nail is 0.1875 inch thick. What is it’s thickness as a fraction? Is 0.1875 inch closer to 1/8 inch or 1/4 inch on a number line?

Answers

It is the same distance apart. .1875-.125 is .0625
1/4 is .25-.1875 is .0625

What is a coplanar. You will earn good point.

Answers

Think about the prefix co-

cooperation
cosign
co-president

It's typically used to describe things that are shared or mutual. We say that two points are coplanar when they share the same plane.

The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0

Answers

The answer is: [B]: " x + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form': "y = mx + b" ;

in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
"m" = the slope of the line; and is the co-efficient of "x" ;
b = the "y-intercept"; (or the "y-coordinate of the point of the "y-intercept").
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ;
b = y-intercept = (10/3) ;
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
" y = mx + b " ; as:
______________________________________________________

" y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form"; or "standard format"; which is:
________________________________________
"Ax + By + C = 0 " ;
________________________________________
So; given:
____________________________________
" y = (-1/3)x + (10/3) " ;
____________________________________
We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

→ 3* { y = (-1/3)x + (10/3) } ;

→ 3y = -1x + 10 ;

↔ -1x + 10 = 3y ;

Subtract "(3y)" from each side of the equation:
____________________________________
-1x + 10 − 3y = 3y − 3y ;

to get:

-1x + 10 − 3y = 0 ;

↔ -1x − 3y − 10 = 0 ;

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

-1 * {-1x − 3y − 10 = 0} ;

to get:
______________________________________________________
→ " x + 3y + 10 = 0 " ; which is: "Answer choice: [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
→ " Ax + By + C = 0 " .
______________________________________________________

The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?

Answer:

x + 3y - 10 = 0

What is the reason for each step in the solution of the equation?

3+4xâ’3x=4

Drag and drop the reasons into the boxes to correctly complete the table.

3+x=43+x=4

x=1

Distributive property
Subtraction property of equality
Combine like terms
Division property of equality
Given

Answers

Could you rewrite this please? It is fairly difficult to read.

How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 35% antifreeze?

To obtain a 35% antifreeze solution, □ gallon(s) of water should be added
(Simplify your answer.)

Answers

Final answer:

To obtain a 35% antifreeze solution, you need to add approximately 1.857 gallons of water to 1 gallon of pure antifreeze.

Explanation:

To obtain a 35% antifreeze solution, you need to add a certain amount of water to 1 gallon of pure antifreeze. Let's assume that x gallons of water should be added. In a 35% antifreeze solution, the amount of antifreeze is 35% of the total solution. So, we can set up the following equation:

1 gallon of antifreeze = (35/100) * (1 + x) gallons of solution

Simplifying this equation, we get:

1 = 0.35 * (1 + x)

Now, let's solve for x:

Divide both sides of the equation by 0.35:

1/0.35 = 1 + x

2.857 = 1 + x

Subtract 1 from both sides of the equation:

2.857 - 1 = x

x = 1.857 gallons of water

Therefore, you need to add approximately 1.857 gallons of water to 1 gallon of pure antifreeze to obtain a 35% antifreeze solution.

Final answer:

To obtain a 35% antifreeze solution from 1 gallon of pure antifreeze, approximately 1.857 gallons of water needs to be added. This calculation is based on a simple concentration equation, resulting in the given ratio.

Explanation:

To calculate the amount of water to be added to 1 gallon of pure antifreeze to obtain a solution that is 35% antifreeze, we need to perform a simple concentration calculation.

We are starting with pure antifreeze, so it's 100% antifreeze. We want to end with a solution that is 35% antifreeze. Let's denote the amount of water added as x gallons. Because we are diluting the antifreeze, the total volume of the solution after adding water will be 1 gallon (the initial volume of the antifreeze) plus x gallons (the volume of water added).

The concentration of antifreeze after adding water is the volume of antifreeze divided by the total volume of the solution:

Concentration of antifreeze = Volume of antifreeze / Total volume of solution

Thus, 0.35 = 1 / (1 + x)

Multiplying both sides by (1 + x) and then by 0.35 we get:

1 = 0.35 * (1 + x)

Dividing by 0.35 and then subtracting 1:

x = 1 / 0.35 - 1

After calculating:

x ≈ 1.857 gallons

To obtain a 35% antifreeze solution, approximately 1.857 gallons of water should be added.

An international company has 26,900 employees in one country. If this represents 16.9% of the company's employees, how many employees does it have in total?

Answers

Answer:

89,349

Step-by-step explanation:

i just did this problem on aleks and this is the answer they gave me how it helps other in the future

Classify the following triangle. Check all that apply

Answers

It is an acute triangle and a scalene triangle. It is acute because the angles are less than 90 degrees and it is scalene because all of the sides are not equal.

What is the area of trapezoid ABCD ? (Enter your answer as a decimal or whole number)

Answers

check the picture below.

bear in mind that, the "bases" are the two parallel sides, and the height is the distance between them.

[tex]\bf \textit{area of this trapezoid}\\\\ A=\cfrac{AB(BC+AD)}{2}\\\\ -------------------------------\\\\ \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ -1}}\quad ,&{{ 5}})\quad % (c,d B&({{ 3}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ AB=\sqrt{[3-(-1)]^2+[2-5]^2}\implies AB=\sqrt{(3+1)^2+(2-5)^2} \\\\\\ AB=\sqrt{16+9}\implies AB=\sqrt{25}\implies \boxed{AB=5}[/tex]

[tex]\bf -------------------------------\\\\ \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) B&({{ 3}}\quad ,&{{ 2}})\quad % (c,d C&({{ 0}}\quad ,&{{ -2}}) \end{array} \\\\\\ BC=\sqrt{(0-3)^2+(-2-2)^2}\implies BC=\sqrt{9+16} \\\\\\ BC=\sqrt{25}\implies \boxed{BC=5}[/tex]

[tex]\bf -------------------------------\\\\ \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ -1}}\quad ,&{{ 5}})\quad % (c,d D&({{ -13}}\quad ,&{{ -11}}) \end{array} \\\\\\ AD=\sqrt{[-13-(-1)]^2+[-11-5]^2} \\\\\\ AD=\sqrt{(-13+1)^2+(-16)^2}\implies AD=\sqrt{144+256} \\\\\\ AD=\sqrt{400}\implies \boxed{AD=\sqrt{20}}[/tex]

so, the area for this trapezoid is then

[tex]\bf A=\cfrac{5(5+20)}{2}\implies A=\cfrac{125}{2}\implies A=62\frac{1}{2}[/tex]

Area of the trapezoid ABCD is

[tex]62\frac{1}{2}[/tex]

Given :

The diagram of a trapezoid ABCD

Area of trapezoid is [tex]\frac{base1+base2}{2} \cdot height[/tex]

Lets find the length of base 1 and base 2 using distance formula

Base 1 is AD. find the distance AD

[tex]AD=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\AD=\sqrt{\left(-13-\left(-1\right)\right)^2+\left(-11-5\right)^2}\\AD=20[/tex]

Now we find out BD that is base 2

[tex]BD=\sqrt{\left(0-3\right)^2+\left(-2-2\right)^2}\\BD=5[/tex]

Now find out height AB

A is (-1,5) and B(3,2)

[tex]AB=\sqrt{\left(-1-3\right)^2+\left(5-2\right)^2}\\AB=5\\[/tex]

[tex]Area =\frac{AD+BC}{2} \cdot AB\\Area=\frac{20+5}{2} \cdot 5\\Area=\frac{125}{2}\\Area=62\frac{1}{2}[/tex]

Area of the trapezoid ABCD is

[tex]62\frac{1}{2}[/tex]

Learn more : brainly.com/question/11150764

The manufacturers of m&m's claim that 20% of the milk chocolate m&m candies are orange. find the mean and standard deviation of the sampling distribution of the sample proportion of orange m&m's for samples of size 100. use two decimal places.

Answers

The mean of a sampling distribution of a sample with proportion, p and sample size, n is given by [tex]\mu=np[/tex].

The standard deviation of a sampling distribution of a sample with proportion, p and sample size, n is given by [tex]\sigma= \sqrt{np(1-p)} [/tex]

Given that the manufacturers of m&m's claim that 20% of the milk chocolate m&m candies are orange. The proportion is p = 0.2

The mean of the sampling distribution of the sample proportion of orange m&m's for samples of size 100 is given by [tex]\mu=100(0.2)=20[/tex]

The standard deviation of the sampling distribution of the sample proportion of orange m&m's for samples of size 100 is given by [tex]\sigma= \sqrt{100(0.2)(1-0.2)} = \sqrt{16} =4[/tex]

How do you write 960,060 in expanded form

Answers

900,000 + 60,000 + 60

hope this helps

Answer:

[tex]900000 + 60000+60[/tex]

Step-by-step explanation:

write 960,060 in expanded form

In 960,060, from left to right

0 is in ones place is 0

6 is in tens place is 6 times 10 = 60

6 is in ten thousands place is 6 times 10000= 60000

9 is in hundred thousands place 9 times 100000= 900000

So the expanded form of the given number is

[tex]900000 + 60000+60[/tex]

ABC preschool spun $1,475 on diapers this year.if the diapers cost $25 per box how many boxes did they used?

Answers

Cost = number of objects x price per object

$1,475 = x boxes * $25

x = 1,475/25 = 59 boxes of diapers

Find two values of b that will make 9 x 2 + b x + 9 a perfect square trinomial.

Answers

You want 9x^2 + bx + 9a to be a perfect square trinomial. Note that 9 x 2 is incorrect and should be written as 9x^2, where "^" represents "exponentiation."

What about a? Are we supposed to find a also?

One way in which to do this problem is to factor 9 out of the trinomial:

9 (x^2 + (b/9)x + a )

Concentrate now on making x^2 + (b/9)x + a into a perfect square trinomial.

x^2 + (b/9)x + a

Take half of the coefficient (b/9) and square the result: [(b/9)/2]^2 = b^2/81.

Then, x^2 + (b/9)x + b^2/81 - b^2/81 + a.

The above quadratic expression can be re-written as

(x + b/9)^2 - b^2/81 + a. This is a perfect square trinomial if

-b^2/81 + a = 0. Solve for b: b^2/81 = a,
b/9 = sqrt(a)
b = 9 sqrt a

Which is greater 2.16 or 2.061

Answers

2.16 is greater. To do this start from the left and compare the numbers. For example, 2 is the same in both but 1 is greater than 0, so the answer is 2.16.

2.16 is greater than 2.061.

problem solving choose the correct answer that follows each sequence
3 4 6 9 13 18 24
.29
.31
.32
.33

Answers

31
it goes by 1 hen 2 then 3 then 4 then 5 then 6 then 7
you add each of the numbers to the last number

The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integers.

Answers

Answer:

equation: (x-3) +(x-1) +(x+1) +(x+3) = -72values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

(x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

-18-3 = -21-18-1 = -19-18+1 = -17-18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

(x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

4x +12 = -72 . . . . . collect terms

4x = -84 . . . . . . . . subtract 12

x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

What is the estimate 323 +151

Answers

There are multiple ways of doing this. I would round off 323 to 300 and round off 151 to 150. Then 323 + 151 is approx. equal to 300 + 150 = 450.

You could also find the estimate 320 + 150 = 470.

Jasmine exchanges $100 for Yen before going to Japan if each US dollar is worth 87.747 Yen how many yen should Jasmine receive

Answers

100 * 87.747 = 8774.7

f the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be

Answers

I know how to figure out the answer though I am at school right now, I will be home in about 20 minutes. I will answer first thing when I get back.

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

Answers

In order to find the least common denominator we need to find the common multiple between the denominators of 3, 4, 32, and 9 and once we get that we have our answer.

Answer: LCD is 288.

Hello There!

Factor them by their prime factors:
3 = 3
4 = 2 x 2 or 2²
32 = 2 x 2 x 2 x 2 x 2 or [tex] 2^{5} [/tex]
9 = 3 x 3 or 3²

Since you can divide 32 by 4 and 9 by 3, you only need to use 32 and 9.

LCD = 2 x 2 x 2 x 2 x 2 x 3 x 3
LCD = [tex] 2^{5} [/tex] x [tex] 3^{2} [/tex]
LCD = 288

Hope This Helps You!
Good Luck :)

- Hannah ❤

there are 28 tables in the cafeteria.each table has 12 students sitting at it.fourth graders sit at 13 of the yables.fifth graders sit at the rest of the tables.how many fifth graders are there?

Answers

Hope this helps!

28 - 13 = 15
15 x 12 = 180 Fifth graders

Adams Clothing Store buys coats for $50 and sells them
for $80. What percent of increase is this?

Answers

Hope these steps help you understand why the answer is 60% increase
-join the gvcci gang

Answer is provided in the image attached.

If a 30 -meter pine tree casts a shadow of 30 meters, how far is the tip of the shadow from the top of the tree?

Answers

From the information given, this scenario creates a 45-45-90 triangle, allowing us to use the Pythagorean Theorem. 30^2+30^2=x^2. 30^2 is 900, so now you have 900+900=x^2. Add to make 1800=x^2. Now take the square root of both sides. It should come out to be about 42.43 meters.

The distance from the tip of the shadow to the top of the tree is 42.426 meters.

What is Pythagoras' theorem?

Pythagoras theorem is a relation between sides of a right-angle triangle.

It states that for a right-angle triangle the square root of Hypotenuse is equal to the sum of the individual base and perpendicular square.

So,

Hyp² = Base² + Perp²

Given the situation is making a right angle triangle with base and perpendicular as 30 meters.

By Pythagoras theorem,

Hyp² = Base² + Perp²

Hyp² = 30² + 30²

Hyp² = 1800

Hyp = 42.426 meter.

Hence "The distance from the tip of the shadow to the top of the tree is 42.426 meters".

To learn more about Pythagoras' theorem,

https://brainly.com/question/21926466

#SPJ2

The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?
A. 625 cm^2
B. 875 cm^2
C. 175 cm^2
D. 245 cm^2

I'm not very good at this kind of stuff :/

Answers

so... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}} \\\\\\ \cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}[/tex]

What is the scale factor of triangle ABC to triangle DEF

Answers

[tex]\bf side:side\qquad \cfrac{side}{side}\implies \cfrac{5}{5}\implies \cfrac{1}{1}\implies 1:1\impliedby \textit{scale factor}[/tex]

Answer:

The correct option is: 1

Step-by-step explanation:

Scale factor is the ratio of corresponding side lengths of two triangles.

Here....

[tex]\frac{DE}{AB}=\frac{5}{5}=1\\ \\ \frac{DF}{AC}=\frac{5}{5}=1\\ \\ \frac{EF}{BC}=\frac{5}{5}=1[/tex]

So, the scale factor of [tex]\triangle ABC[/tex] to [tex]\triangle DEF[/tex] is 1.

Translate the phrase into a math expression.

the quotient of twenty divided by four more than one

A.
(20 ÷ 4) + 1

B.
1 + (4 ÷ 20)

C.
(1 + 4) ÷ 20

D.
20 ÷ (1 + 4)

Answers

its d 20 / (1+4)...........................................................................

If sale price of a shirt after giving 8% is RS.161,then find the written price? (By the written price means cost price)

Answers

you can do it, man
I believe in you

To find the original cost price of a shirt on which an 8% discount was given, resulting in a sale price of Rs.161, the formula CP = Sale Price / (1 - (Discount Percent / 100)) is used, calculating the cost price as Rs.175.

If the sale price of a shirt after giving an 8% discount is Rs.161, to find the written price, or the cost price before the discount, we can use the formula for discount calculation. Let CP represent the cost price. The formula for calculating the sale price after discount is:

Sale Price = CP - (Discount Percent * CP) / 100

Here, the sale price is given as Rs.161, and the discount percent is 8%. Therefore, we can rearrange the formula to solve for CP:

CP = Sale Price / (1 - (Discount Percent / 100))

Plugging in the values gives us:

CP = 161 / (1 - (8 / 100)) = 161 / 0.92 = Rs.175

Therefore, the written price or the cost price of the shirt before the discount was applied is Rs.175.

Lacoste middle school surveyed its student population about their favorite mobile app. The 786 students who listed Facebook as their favorite app represened 32 fewer students than two times the number on Instagram as their favorite app. How many students listed Instagram as their favorite app?

Answers

786 Facebook favorited app

-32
x2
786 - 32 = 754
754 divided by 2 = 377

Answer:

Hence, the number of students who listed Instagram as their favorite app is 409

Step-by-step explanation:

Let x denote the number of students who listed Instagram their favorite app.

Now the number of people who listed Fb as their favorite app is 32 less than two times number of students who have Instagram as their favorite app.

Hence, the equation so obtained is given by:

786 = 2x - 32

i.e. 2x = 818

i.e. x = 409

Hence, the answer is: 409

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