Adrian is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 18 miles.
City X to City Y is 3 1/2 in.
If Adrian drives at an average speed of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take him to drive from City X to City Y?

Answers

Answer 1

Answer:

takes him 8.4 hrs

Step-by-step explanation:

if 1/4=18inch then 3 1/2=7/2 so 7/2 divide by 1/4=14 then 18 x 14=252

so distance is 252 miles

speed is 30mph so 252/30=8.4h

the answer might need the 0.4 in hrs too


Related Questions

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true
plsss help :)))

Answers

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

[tex]\frac{9}{1}[/tex] ÷ [tex]-\frac{1}{3}[/tex] = [tex]\frac{9}{1}[/tex] · [tex]-\frac{3}{1}[/tex]

= -27

2. Divide both sides by 2:

2(x - 9) = -27

[tex]\frac{2(x-9)}{2} = \frac{-27}{2}[/tex]

(x - 9) = [tex]-\frac{27}{2}[/tex]

3. Add 9 to both sides:

x = [tex]-\frac{9}{2}[/tex]

(or 4.5 if you need it in decimal form)

hope this helps!

4. The figure below shows three small circles, each with a diameter of 6 centimeters, inside a larger
circle.
.6.cm ....6.cm ..Y. 6 cm
What is the approximate area of the shaded part of the figure? Use 3.14 for .
A. 169.56 square centimeters
B. 678.24 square centimeters
C. 254.34 square centimeters
D. 226.08 square centimeters

Answers

Answer: A

Step-by-step explanation:

Plot the data points into the calculator. Resize the window to fit the data and use the power regression function.

What is the power regression equation for these data points? Round to the nearest hundredth.

A )y = 71. 59x0. 49

B) y = 72. 49x0. 50

C) y = 73. 48x0. 51

D) y = 72. 34x0. 50

Answers

Answer:

y = 72.49x0.50

Step-by-step explanation:

What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?

Answers

Translating the triangle DEF involves moving the triangle along the coordinate plane

The y-coordinate of point D after the translation (x, y) → (x + 6, y – 4) is 1

How to determine the y-coordinate of D'?

From the figure the coordinate of D is:

D = (-2.5,5)

The rule of translation is given as:

(x, y) → (x + 6, y – 4)

So, we have:

(x, y) → (-2.5 + 6, 5 – 4)

Evaluate the sum and the difference

(x, y) → (3.5, 1)

Remove the x-coordinate

y → 1

Hence, the y-coordinate of point D after the translation is 1

Read more about translation at:

https://brainly.com/question/11468584

A circle with two chords is shown below in the figure. Find the value of x.
X
8
x+12
12
X =

Answers

A circle with two chords is given with length X, 8, x-12, 12. Thus, The value of x is 24.

What is the relation between line perpendicular to chord from the center of circle?

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or

|AC| = |CB|

Using the theorem of intersecting chords

[tex]12x =8(x-12)\\\\12x = 8x - 96\\\\12x - 8x = 96\\\\4x = 96\\\\x = 24[/tex]

The value of x is 24.

Learn more about chord of a circle here:

https://brainly.com/question/27455535

#SPJ1

Solve x² + 11x +18=0 by factoring.
A
x = 3 or x=6
B
x=-6 or x = -3
C
x = 2 or x = 9
D
x = -9 or x = -2

Answers

-(11+sqrt(121-4*18))/2 = -(11 +sqrt(49))/2 = -9

Or

-(11-sqrt(121-4*18))/2 = -(11-sqrt(49))/2 = -2

D is the answer

⚠️‼️ HELP PLEASE GIVING POINTS​

Answers

set both values to equal each other


6x - 12 = 3x + 30

minus 3x from both sides to get
3x - 12 = 30

add 12 to both sides to get
3x=42

divide both sides by three to get x=14

since we know the x value is 14, substitute that for x in 6x - 12

6(14) - 12

multiple 14 and 6 to get 84 - 12

solve to gets 72

final answer: 72

hope this helped!

Calculate the mean of the electric bills for Family A. Round your answer to the nearest cent.

Month | Family A | Family C

January | $88.82 | $134.51

February | $84.80 | $118.06

March | $62.35 | $109.28

April | $65.17 | $90.15

May | $60.20 | $91.20

June | $74.86 | $96.36

July | $92.15 | $130.71

August | $99.89 | $129.16

September | $96.45 | $107.77

October | $81.63 | $100.95

November | $64.12 | $107.64

December | $72.58 | $123.82

Answers

Answer:

The mean for Family A=78.585 , ≈78.59

Step-by-step explanation:

I solved this with a TI-84 CE calculator. To do this you press stat-edit-put in the numbers-2nd+mode-stat-right arrow key-calc-1_Var_Stats-Calculate. Then X with the _ over it would be your mean.

The ratio of cups of orange juice concentrate to water in a punch recipe is 1 : 6. If Stefan used 18 cups of water, how many cups of orange juice concentrate did he use?

Answers

Answer:

Order your units;

Orange Juice           1                  x____________  _______ = ________, solve for x;       Water                   6               18

1/6 = x/18

×18    ×18

18/6 = x

3 = x

He will be using 3 cups of orange juice.

plug in 3 for the equation y=-x^2+12x-20​

Answers

Step-by-step explanation:

y=(-x^2)+12x-20

=(-(3)^2)+12(3)-20

=(-9)+36-20

=16-9=7

y=7

I hope it helped you

Find the distance between the points (0, 0) and (4, 0).
02
04
O √8

Answers

Answer:

4 units

Step-by-step explanation:

(0, 0 ) and (4, 0 )

since the y- coordinates are equal  then the distance between the points is the difference of the x- coordinates, that is

| 4 - 0 | = | 4 | = 4 or

| 0 - 4 | = | - 4 | = | 4 | = 4

Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number of days, dd, the family rents the boat.



​A. How much does it cost, in dollars, to rent the boat for one day?

B. Create an equation using c and d to represent the proportional relationship.



A. \$$




B.

Answers

[tex]c = 15d[/tex]

Step-by-step explanation:

find the value of the constant of proportionality k

[tex]k = \frac{v}{d} [/tex]

c =total cost

d =days

how many square feet of outdoor carpet will we need for this hole? 4ft 12ft 8ft 3ft

Answers

You will need 38 square feet of carpet.


Hoped that helped

Answer:

56ft

Step-by-step explanation:

first you need to break the shape u so 1 rectangle and 2 triangles so first we need to find the area of the rectangle

Area of rectangle= w x h so 5* 8= 40

Area of triangle = .5 x b x h so 4 x 4 x .5 = 8 and since we have 2 double that and you get 16 so then you need to add it all up and u get the answer 56

Ssolve 2 and 6, only if you know cuz I'm stuck on this​

Answers

Answer:

2. Linear Pair Prostulate
6. Transitive Property

Step-by-step explanation:

What is the multiplication problem that means the same thing as the division problem 1/9 divided by 12?

1/9 x 12

1/9 x 1/12

9/1 x 12

1/12 x 108

Answers

Answer:

B

Step-by-step explanation:

We must find the reciprocal of 12, which is 1/12. This means 1/9 divided by 12 is 1/9 times 1/12.

A circle has a diameter of 12 ft. What is the length of an arc intercepted by a 60° central angle?

Answers

Answer: It's 6.28319 feet

Step-by-step explanation:

brainlist for correct answer =]

Answers

Answer:

4

Step-by-step explanation:

The mode is the number that appears the most!!!!

Now lets solve :)

2, 2, 3, 3, 4, 4, 4, 4,

There are 2 2s.

There are 2 3s.

There are 4 4s.

The mode is 4!!! :)

Have an amazing day!!

Plese rate and mark brainliest!!

The mode of the data set is 4

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

Mode in math can be defined as the number which appears the most often in a given data set.

Therefore, the mode of the data set is 4

LEARN MORE:

https://brainly.com/question/12516571

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KEYWORDS:value datathe most of

Andrea bough a bucket of colored chalk. The list below shows the fraction of each color of chalk in the bucket. 2/6 are yellow, 5/12 are blue, and 3/12 are green. Andrea told Michelle that less than 1/2 the chalk in the bucket is blue. Michelle said she is mistaken. Who is correct? Explain why you chose your answer.​

Answers

Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

How to solve fractions?

Yellow = 2/6Blue = 5/12Green = 3/12

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Learn more about fraction:

https://brainly.com/question/11562149

The force-extension data for a spring are recorded in the graph below. Assuming force is measured in newtons and
extension in meters, what is the spring constant for this spring?

Answers

∆ F/ ∆e = K

(5.4-2.1)/(1.8-0.7)= K

3.3/1.1 = K

K = 3

Find the equation of the perpendicular from the point P(-1,-2) on the line
3x + 4y - 12 = 0. also find the coordinates of the foot of the perpendicular.

Answers

eq :- 4x - 3y - 2 =0and coordinates :- (44/25,42/25)

Step-by-step explanation:-

The given line is 3x + 4y - 12 = 0

=> 4y = -3x + 12 ....(i)

=> y = -3x/4 + 3,

therefore, the slope of the line (i) = -3/4.

From P(-1,-2), draw PN perpendicular to the given line. (see attachment)

As we know,, m2 = -1/m1

So, the slope of the line PN = 4/3

the equation of the line through P(-1,-2) and having a slope 4/3 is :-

= > y - (-2) = 4/3 * (x - (-1))

= > 3y + 6 = 4x + 4

= > 4x - 3y - 2 = 0....(ii)

which is the required equation of the perpendicular from P to the given line. To find the coordinates of N (the foot of perpendicular), solve (i) and (ii) simultaneously. Multiplying (i) by 3 and

(ii) by 4, and on adding, we get

= > 25x - 44 = 0

= > x = 44/25

Multiplying (i) by 4 and (ii) by 3, and on subtracting, we get :-

= > 25y - 42 = 0

= > y = 42/25

Hence, the coordinates of the foot of the perpendicular are (44/25 , 42/25)

Hope it helps you!!

(44/25 , 42/25)

these are the points

Point A is located at (-3, 0) and is rotated 90°. What are the coordinates of point A'?

(-3, 0)

(0, -3)

(3, 0)

(0, 3)

Answers

Answer:

(0,-3)

Step-by-step explanation:

Rotating a point 90° from the second quadrant to the third on a (x,y) graph follows the transformation,

(x,y) → (-x,y)

A bag contains eight balls labeled 1 through 8. One ball will be randomly picked. What is the probability of picking an even number?

Write your answer as a fraction in simplest form?

Answers

1/2

explanation;

there is 4 even numbers so 4/8
then simplified its 2/4 and then 1/2

What is 20% of 350? Please explain

Answers

Answer:

70

Step-by-step explanation:

20% is the same thing as 1/5

350 times 1/5 is 70.

Answer:

70

Step-by-step explanation:

.2 * 350 = 70

A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes. Write the equation and the answer separated by a semi-colon. Included the unit in your answer. For example, d = 5m; 35 feet​

Answers

Answer:

A proportion is the name we give to a statement in which 2 ratios are equal. Proportions are built off of ratios. It is usually written in one of 2 ways

Step-by-step explanation:

Answer:

there are two different ways it can go up but it will be a ratio amount of air in the

(Need Help ASAP (Willing to give 10 points for 1 question)

Answers

Answer:

a) -2 and 4

b) function 2

Step-by-step explanation:

a)

rate of change is rise over run: change in y / change in x.

function 1:

- i will use first 2 pairs of data

- change in y: 5 - 3 = 2

- change in x: -2 - (-1) = -1

-rate of change = 2/-1 = -2

function 2:

- same idea, but find two points on the graph!

- (0,4) and (-1,0) for example! pick easy points

- change in y is 4. chabge in x is 1

- rate of change is 4

b)

function b has greatest rate of change. 4 > -2

Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?



\$3.00c\geq\$50.00


\$3.00c\leq\$50.00


\$3.00c=\$50.00


\$3.00c<\$50.00


\$3.00c>\$50.00


I don't know

Answers

Answer:

3c ≤ 50

Step-by-step explanation:

Each card is sold by $3, the number of cards is c.

The total is 3c and it needs to be at most $50:

3c ≤ 50

Is the correct inequality for this case

Let the no of cards be c

Rate per card=$3

Now

The inequality is

3×c≤503c≤50

Or

3.00c≤50.00

Calvin works two different jobs. He worked a total of 40 hours last week. Of the time he worked, 16 hours were spent at the
job where he makes $18 per hour. The rest of the time was spent at the job where he makes $20 per hour.
How much money did Calvin make from both jobs last week?
$288
b$480
$752
$768

Answers

Answer: 768

Step-by-step explanation:

24 times 20 =480 dollars

16 x18=288

480+288= 768

so yea D IS THE ANSWER!!!

hope thats helps :)

help me! 50 points and brainlyist
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 55°. Will the ladder be safe the way it is positioned? Explain.

Answers

Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Students in biology class are learning about the monarch butterfly’s life cycle. Each student is given a caterpillar. When a caterpillar turns into a chrysalis, it is placed in a glass enclosed with food and a heat lamp and examined.

A. Determine whether the situation describes a survey, an experiment or an observational study.

B. identify the sample, and suggest a population from which it was selected.

Answers

Answer: observational study

Step-by-step explanation:

i think its a observational study because they are learning about somthing and to learn about it you have to study and they are given a specemin to observe to that they can study it as it grows therfore why i think the answer  is C. Observational study.

PLEASEEEEEEEEEEEEEEEEEEEE HELP MEE YALL WITH ALL 4 QUESITONS

Answers

Answer:

Step-by-step explanation:

17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.

18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.

19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).

20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.

Hope this helps! :)

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