Justin drives 7.5 miles in 15 minutes. If he drove three hours in total at the same rate, how far did he go?

Answers

Answer 1

Answer:

Justin drove 90 miles in 3 hours.

Step-by-step explanation:

Given that:

Justin drives 7.5 miles in 15 minutes.

Speed of Justin = [tex]\frac{7.5}{15}[/tex]

Speed of Justin = 0.5 miles per minute

For speed in hours, we will multiply by 60

Speed of Justin = 0.5 * 60 = 30 miles per hour

Distance covered in 3 hours = 30 * 3 = 90 miles

Hence,

Justin drove 90 miles in 3 hours.

Answer 2

The total distance covered by Justin at the same rate is equal to 90 miles.

Given the following data:

Distance A = 7.5 milesTime A = 15 minutesTotal time = 3 hours

Conversion:

1 hour = 60 minutes

3 hours = 180 minutes

To determine the total distance covered by Justin at the same rate:

First of all, we would calculate the rate of Justin's speed as follows:

[tex]Speed =\frac{distance}{time} \\\\Speed =\frac{7.5}{15}[/tex]

Speed = 0.5 miles per min.

For the total distance:

[tex]Total\;distance = speed \times total\;time\\\\Total\;distance = 0.5 \times 180[/tex]

Total distance = 90 miles.

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Related Questions

The figures shown are similar. Find the lengths of x,y and z

Answers

x = 12.75
y =18
z =12.75

Answer:

explanation po sana ang kailangan

Evaluate 9 to the power of -1/2

Answers

Evaluate 9 to the power of -1/2

=> 0.05

The equivalent expression of ''9 to the power of -1/2'' would be 1/3.

Used the concept of the square root of a number that states that,

The square root of a number is the number that, when multiplied by itself, gives the original number.

Given that,

The expression is 9 to the power of -1/2.

Now, it can be written as,

9 to the power of -1/2

[tex]= 9^{- 1/2}[/tex]

[tex]= \dfrac{1}{9^{1/2} }[/tex]

[tex]= \dfrac{1}{(3^2)^{1/2} }[/tex]

[tex]= \dfrac{1}{3 }[/tex]

Therefore, the expression is written as 1/3.

To learn more about square root visit:

https://brainly.com/question/428672

#SPJ6

Help plz ! Find the slope of the line

Answers

Answer:

-2/1

Step-by-step explanation:

I NEED HELP FAST!!!!!!!!!!!!

Answers

Answer:

y=-3/4x-3

Step-by-step explanation:

y=mx+b

find the y intercept=b

y=mx-3

find the slope

y=-3/4x-3

Select the correct answer.
What is (3 1/2) absolute values
A. -2/7
B. -3 1/2
C. 3 1/2
D. -2/7

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 3 1/2

Step-by-step explanation:

The absolute value is the non negative value

|3 1/2| = 3 1/2

Help me!! I’m very bad at rounding numbers!! What’s 366 rounded to the hundreds place?? help ASAP!

Answers

Answer:

400

Step-by-step explanation:

Tge 6 in the tens place is greater than 5, so you round the 3 up to 4.

If the number that determines where you round is 5 or more, round up.

So 366 rounded to the hundreds place is 400.

The answer is 400.

Happy to help!!! :)

You purchase a remote-controlled drone for d dollars. Your friend purchases a drone that costs $35 more than your drone. Your brother purchases a drone that costs three times as much as your friend's drone. Write and simplify an expression that represents the cost (in dollars) of your brother's drone.

Answers

Answer:

[tex]Brother = 105 + 3d[/tex]

Step-by-step explanation:

Given

[tex]Drone = d[/tex]

Friend = $35 more expensive than yours.

Brother = 3 * as much as your friend

Required

Write an expression for the cost of your brother's drone

I'll solve by analysing the question one sentence after the other

You:

[tex]Drone = d[/tex]

Your friend:

Friend = $35 more expensive than yours.

This means

[tex]Friend = 35 + You[/tex]

Substitute d for You

[tex]Friend = 35 + d[/tex]

Your brother:

Brother = 3 * as much as your friend

This means:

[tex]Brother = 3 * Friend[/tex]

Substitute 35 + d for Friend

[tex]Brother = 3 * (35 + d)[/tex]

Open bracket

[tex]Brother = 3 * 35 + 3*d[/tex]

[tex]Brother = 105 + 3d[/tex]

help me pls...
I will give 20 points and brainly

Answers

Answer:

[tex]1 \times { 10}^{ - 9} m[/tex]

Step-by-step explanation:

It can be written in scientific notation as [tex]1 \times { 10}^{ - 9} m[/tex],

Hope this helps u.... ^_^❤️

Answer:

a) 1 nm = 0. 000 000 001 m

b) 1 nm = 1×10⁻⁹ m

Solve |2x - 3|< 7 help pls!!

Answers

Answer:

I think it is c, sorry if I am wrong.

Answer:

-2<=x<=5

Step-by-step explanation:

|2x - 3|< =7

-7<=2x-3<=7

-4<=2x<=10

-2<=x<=5

a student cost for last semester at her community college was $2200. she spent $308 of that on books. what % of last semesters college costs was spent on books

Answers

Answer:

We conclude that 14% of last semester's college cost was spent on books.

Step-by-step explanation:

The cost spent at community college = $2200

The amount spent on books = $308

The % of last semesters college costs was spent on books can be determined using the formula

% spent books on = [308 / 2200] × 100

                               = 0.14 × 100

                                = 14%

Therefore, we conclude that 14% of last semester's college cost was spent on books.

A theatre has the capacity to seat people across two levels, the Circle and
the Stalls.
The ratio of the number of seats in the Circle to the number of seats in
the Stalls is 3:5
Yesterday, the audience occupied of the seats in the Circle and
all the 1520 seats in the Stalls.
Work out the percentage of occupancy of the theatre yesterday.
You must show how you get your answer.​

Answers

Answer:

C:S--------> 3:5

1520/5=304

3 x 304= 912

912+1520=2432

1520/2432 x 100

Ans = 62.5% seats occupied

Answer:

C:S--------> 3:5

1520/5=304

3 x 304= 912

912+1520=2432

1520/2432 x 100  

Ans = 62.5% seats occupied

Cameron is a high school basketball player. How many points would Cameron score
in a game if he made 6 two point shots and 5 free throws (worth one point each)?
How many points would Cameron score in a game if he made a two point shots and y
free throws?

Answers

Answer:

30 I THINK

Step-by-step explanation:

Answer 30 i hopeee

I hope that helps lol

Simplity (4^-2)^5
A.1/4^10
B. 4^3
C.1/4^3
D. 4^10

Answers

Answer:

[tex](4^{-2})^5=\dfrac{1}{4^{10}}[/tex]

Step-by-step explanation:

The given expression is : [tex](4^{-2})^5[/tex]

We need to simplify the above expression.

We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]

or

[tex](4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}[/tex]

So, the simplified form of the given expression is [tex]\dfrac{1}{4^{10}}[/tex]. Hence, the correct option is (A).

Answer:

The answer is a 1/4^ 10.

Step-by-step explanation:

one number is equal to 4 times another number. their difference is 12. find the numbers​

Answers

Answer:

[tex]x=16 \ \ and \ \ y=4[/tex]

Step-by-step explanation:

Suppose the numbers are x and y

One number say x is equal to 4 times another number say y

[tex]x=4y[/tex]  ---------------- (1)

Their difference is 12

[tex]x-y=12[/tex]  ------------(2)

Put x=4y in equation (2)

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

[tex]3y=12\\y=4[/tex]

Put y=4 in equation (1)

[tex]x=4(4)\\x=16[/tex]

HELP ASAP I will mark brainliest

Answers

Answer:

option 4

Step-by-step explanation:

How am I supposed to do this?

Answers

For literal equations you do not necessarily need a numerical answer. You just need to get the variable you are supposed to solve for on one side of the equation by itself. To do this you will follow the same steps you do when you normally solve for x (or any other variable)

#9-Step by step

Q=25[tex]\pi[/tex]h

divide 25[tex]\pi[/tex] on both sides of the equation

Q/25[tex]\pi[/tex]=h

h=Q/25[tex]\pi[/tex]

Since his can't be simplified any further this is your answer

#11. y=7m+6

First subtract 6 over to the other side

y-6=7m

then divide the 7 over

(y-6)/7=m

m=(y-6)/7

#13 A=(Z+7)3

Divide the three over to the other side of the equation

A/3=Z+7

Now the 7 is free to be subtracted from both sides

(A/3)-7=Z

#17. (2x/5)-9=6

First add 9 to both sides

2x/5=6+9

2x/5=15

Multiply both sides of the equation by 5

2x=5(15)

2x=75

Divide by 2

x=75/2

x=37.5

How do I do this? It's about systems of equations.

Answers

Answer:

D.

Step-by-step explanation:

The last one has the correct variables and amounts in the right order.

12x + 9y = 120

6x + 14y = 136

Find the length of ĀB.

A. About 3.6 units
B. 89 units
C. 13 units
D. About 9.4 units

Answers

Answer:

D. About 9.4 units

Step-by-step explanation:

[tex]ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units[/tex]

Find the unknown value.
40%=32/⬛️

Answers

Answer:

Step-by-step explanation:

80

HELP PLS AHHH JSBDNSJDNSN

Answers

Answer:

Translation you buffoon

Step-by-step explanation:

Answer:

TRANSLATION. A

Step-by-step explanation:

JSBDNSJDNSN

Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept?

Question 2 options:

y = –2x + 5

slope = –2

y-intercept = 5


y = 2x + 4

slope = 2

y-intercept = 4


y = –4x + 5

slope = –4

y-intercept = 5


y = 4x + 5

slope = 4

y-intercept = 5

Answers

Answer: y = -2x + 5

Step-by-step explanation:

y = -2x + 5

slope = -2

Slope intercept form of equation of line is given by y = mx + c

where m is the slope of line

c is the y intercept i.e point where given line intersect y axis.

________________________________________________

given equation 4x + 2y = 10

we have to re-write this equation in form y = mx + c

4x + 2y = 10

subtraction 4x from LHS and RHS

4x + 2y - 4x= 10 - 4x

2y = 10- 4x

we have to eliminate 2 from y for that we

divide  LHS and RHS by 2 we

2y /2 = 10/2- 4x/2

y = 5 - 2x

rearranging it in y = mx+c form

y = -2x + 5

thus, m = -2 , c = 5

Answer:

y=-2x+5, slope= -2, y-intercept= 5 (so, first option)

Step-by-step explanation:

y=mx+b. m is the slope, and b is the y-intercept. to get the equation to the slope intercept form, you get y by itself- subtract 4x from both sides and then divide by 2 on both sides.

Find the value of p and q such that
2x^2 - 4x + 3= 2 (x-p)^2 + q


PLEASE ANSWER!!!

Answers

Answer:

The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;

p = 1, q = 1

Step-by-step explanation:

The given equation are;

2·x² - 4·x + 3 = 2·(x - p)² + q

By expanding the right hand side of the equation, we have;

2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q

2·x² - 4·x + 3  = 2·x² - 4·p·x + 2·p² + q

Comparing the coefficient of x in both equations, gives;

2·x² + (- 4)·x + 3  = 2·x² + (- 4·p)·x + 2·p² + q

-4 = -4·p

∴ p = -4/(-4) = 1

p = 1

Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;

3 = 2·p² + q

Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;

3 = 2 × 1² + q  = 2 + q

∴ q = 3 - 2 = 1

q = 1.


The tables represent linear relationships. Determine if each relationship is a
proportional or nonproportional situation please help

Answers

Answer:

5. proportional

6. nonproportional

HELP PLEASE ANSWER 7

Answers

Answer:

f(x) = 7

Step-by-step explanation:

we use the bottom equation (4x+3) because

1 > 0

so

4(1) +3 = 7

please dont answer random stuff for points

Answers

Answer:

now how did you knew people was doing it

Step-by-step explanation:

it C trust

Answer:

The answer is 28 (option D)

Step-by-step explanation:

Im big Brain

Find the volume of the cone. Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

Volume of the cone, V=1/3*Π*r^2*h

we have the slant height, and we need to find the h, height

a^+b^2=c^2

where c is 13

169=25+h^2

h^2=144

h=12

V=1/3*3.14*25*12=100*3.14=314.15 ft^3

Becky has 785 tickets to trade for prizes. She picks a book that cost 27 tickets and a toy that cost 3 times as many tickets as the book. How many tickets does she have left?

Answers

Answer:

677

Step-by-step explanation:

785-27= 758

27*3= 81

758- 81= 677

I hope this helps!!!!

Can someone please help me w this
Consider the polygons, Name a series of transformations that will take ABC to A'B'C'.
What do we need to know about the triangles to show that they are congruent?

31
1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
Music
Type here to search
Ad

Answers

Answer:

x=2

Step-by-step explanation:

First you put the equations in the form of y = mx + b

Then once they are like that it would look like:

y = -2x + 6

y = 3x - 4

So then you can set them equal to each other and it will look like this:

-2x + 6 = 3x - 4

Then you add 2x to both sides and get:

6 = 5x - 4

Next, add 4 to both sides and get:

10 = 5x

So then you will simplify by dividing both sides by 5 and getting:

2 = x

x-2
OAKKAOQOWKAKAOQKAKAOQKAKA

help pls fast
10. A door-frame of dimensions 3 mx 2 m is fixed on the wall of
dimension 6.5 mx 8 m. Find the area of the wall to be painted."​

Answers

Answer:

1st dimension of the door frame =3m×2m

=6m squared

now dimension the wall =6.5×8m

= 52m square

area that needs to be painted =52m-6m

=46m Square

Determine if the pair of figures are congruent and select the appropriate theorem if applicable.

A
The figures are not necessarily congruent.
B
The figures are congruent via the SSS Congruence Theorem.
C
The figures are congruent via the ASA Congruence Theorem. D
The figures are congruent via the SAS Congruence Theorem.

Answers

Answer:

ASA theorem

As you can see there are ángeles and only a line

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