A car is traveling at a steady speed. It travels 1(1/2) miles in 2(1/4) minutes. How far will it travel in 26 minutes? In 1 hour?

Answers

Answer 1

Answer:

17[tex]\frac{1}{3}[/tex]miles

40miles

Step-by-step explanation:

Given parameters;

Distance traveled by  the car = 1[tex]\frac{1}{2}[/tex]miles  = [tex]\frac{3}{2}[/tex]miles

Time taken = 2[tex]\frac{1}{4}[/tex]minutes  = [tex]\frac{9}{4}[/tex]minutes

Unknown:

Distance covered in 26minutes and in 1hr = ?

Solution:

Speed is the rate of change of distance with time.

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

A. Insert the parameters and find the speed;

   Speed  = [tex]\frac{\frac{3}{2} }{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex] x [tex]\frac{4}{9}[/tex] = [tex]\frac{2}{3}[/tex]miles/minutes

Distance covered in 26minutes;

   Distance  = speed x time

   Distance  = [tex]\frac{2}{3}[/tex] x 26  = [tex]\frac{52}{3}[/tex] miles  = 17[tex]\frac{1}{3}[/tex]miles

B. Distance covered in 1hr or 60minutes;

  Distance = [tex]\frac{2}{3}[/tex] x 60 = 40miles


Related Questions

Sam and Jude went to the cinema. Here is the list of prices: 4.75 $ for a ticket, 1.75 $ for a drink, 0.85 $ for a sweet. They paid with a bill of 20 $. How much change did they receive?

Answers

12.65 add all the numbers then subtract them from 20
4.75+1.75+0.85=7.35
20-7.35=12.65

I NEED HELP!!!
Convert to find the equivalent rate,
inches
yards
60
min ute
second

Answers

Answer:

36 seconds

Step-by-step explanation:

Answer:

Dnbsflvi jvidkdkeicucyccgdmjcjvh

Step-by-step explanation:

A school purchases calculators from a store for $6 each.
Create an equation that represents the total cost, d, in dollars, for the number of calculators purchased, c. Use both
variables in your equation.

Answers

Answer:

Cost =6(Cal)

Step-by-step explanation:

Calculators: 6$

Calculators: Cal

Cost=C

Cost =6(Cal)

Answer:

1=6

Step-by-step explanation:

Solve for g in the proportion.

Answers

Answer:

14

Step-by-step explanation:

Cross multiply, then divide: 18 × 7 = 126, 126 ÷ 9 = 14

I hope this helps!

Answer:

14

Step-by-step explanation:

Step 1:

7/9 = q/18       Equation

Step 2:

9q = 126     Multiply

Step 3:

q = 126 ÷ 9       Divide

Answer:

q = 14

Hope This Helps :)

Nathan will be working between 30 to 39 hours inclusive this week, which is 3 more than triple
what he worked last week. How many hours could have Nathan work last week?

Answers

Nathan could've worked 9 hours last week
So 30-3= 27 (three more)
then 27/3=9 (triple)
So if yoy were to triple the hours he worked last week, 9•3=27, then add the three more, 27+3=30, then this answer works
i hope this helps!

Find the equation of the perpendicular bisector of AB when A(-7,2) and B(3,4)

Answers

Given:

Two points are A(-7,2) and B(3,4).

To find:

The perpendicular bisector of AB.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB is

[tex]m_1=\dfrac{4-2}{3-(-7)}[/tex]

[tex]m_1=\dfrac{2}{3+7}[/tex]

[tex]m_1=\dfrac{2}{10}[/tex]

[tex]m_1=\dfrac{1}{5}[/tex]

Procut of slopes of perpendicular line is -1.

So, slope of perpendicular bisect is opposite of reciprocal of [tex]\dfrac{1}{5}[/tex].

[tex]m_2=-5[/tex]

Midpoint of AB is

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-7+3}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-2,3\right)[/tex]

Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-3=-5(x-(-2))[/tex]

[tex]y-3=-5(x+2)[/tex]

[tex]y-3=-5x-10[/tex]

Add 3 on both sides.

[tex]y=-5x-10+3[/tex]

[tex]y=-5x-7[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=-5x-7[/tex].

crying for help here..

Answers

Answer:

ST=32

Step-by-step explanation:

We know the two sides are equal, so first solve for p.

9p-4=4p+16

9p-4p=16+4

5p=20

p=4

Now subsitute p back in for ST

9(4)-4=32

The complementary angle of 56° is

Answers

Answer:

90 degrees

Step-by-step explanation:

trust

The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?

Answers

Answer:

-$14(2.5) & -$34.73

Step-by-step explanation:

Which estimate uses compatible numbers to estimate the problem?  

✔ -$14(2.5)

What is the exact answer?  

✔ -$34.73

Answer:

answer is above

Step-by-step explanation:

Is this right pls tell me ASAP

Answers

yep! its correct, 7*7p is 49p, and 7*5 is 35, so it is 49p+35

Use the complement rule for probabilities

Question

arces

Over the course of a week, an airline has 42 flights between New York and Los Angeles. Of these flights, 28 are considered

to be "on-time."

If you chose a particular flight at random, what is the probability that it would not be on-time? Express your answer as a

fraction.

Provide your answer below:

Answers

Answer:

The probability that a particularly randomly chosen flight will not be on time is 1/3

Step-by-step explanation:

The number of flights available between New York and Los Angelis = 42 flights

The number of flights that are considered to be on time = 28 flights

The probability that a particularly randomly chosen flight will not be on time = 1 - The probability that the flight will be on time

The probability that the flight will be on time = (The number of flights considered to be on time)/(The total number of flights available)

The probability that the flight will be on time = 28/42 = 2/3

∴ The probability that a particularly randomly chosen flight will not be on time = 1 - 2/3 = 1/3

The probability that a particularly randomly chosen flight will not be on time = 1/3.

Which of the following steps could be used to solve the equation 93 = x + 58?

Answers

Answer:

x=35

Step-by-step explanation:

93=x+58

-58   -58

35=x

x=35

Simply subtract 58 on both sides so it crosses out, isolating x.

Also x would be 35 in case you need that.

Your answer
2. Find the slope of the line that passes through each of the points. Make
sure you simplify! *
1 point
(4,-2)and (10,-2)
1/2
-1/2
O 0
1/6

Answers

0
The y for both is -2 which means no incline

(4, 5) and (-4, 3)
What’s the answer I need help

Answers

Answer:4(3)/(5)

Step-by-step explanation:

Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be

Answers

Answer:

2 1/2 per piece

Step-by-step explanation:

Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.

Answers

Answer:

[tex]\sqrt{\frac{9}{2} }[/tex]

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = [tex]\frac{9}{2}[/tex]

                       y = [tex]\sqrt{\frac{9}{2} }[/tex]

determine the range of the following graph

Answers

Answer:

Range: [-6, 8]

Step-by-step explanation:

Range is the set of y-values that are outputted by function f(x).

From the graph we see that our y-values span from -6 to 8. Since both are closed dot, they are included in the range:

[-6, 8] or -6 ≤ y ≤ 8

find the measure of each angles

Answers

Answer:

7; = 135

1;= 135

2; = 45

3; = 135

I need to turn that into an equation but I cant figure it out.​

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The equation will be...

[tex]\frac{3x-6}{2} +12[/tex]

I don't know if you need to solve it but here you go anyways...

[tex]\frac{3}{2}x+9[/tex]

A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?

Answers

Answer:

$42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

To find the sale price of the tennis racket, multiply the original price by 0.6:

70(0.6)

= 42

So, the sale price of the tennis racket is $42

which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number

Answers

Answer:

The fourth one

Step-by-step explanation:

Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.

Convert 77º F into kelvins.

Answers

Answer:

298.15

Step-by-step explanation:

Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t

Answers

Answer:

B

Step-by-step explanation:

Have a good day!


Using the existing midpoints of each side of the triangle, create the three medians. What do you observe about the way the medians Intersect?

Answers

Answer:

The three medians intersect at a single point.

Step-by-step explanation:

PLATO MAKE BRAINLIEST PLZZ

Centroid is that point where median draw from the center of each side in a triangle meet.

What is centroid?

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Let,

There is a triangle ΔABC

Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.

Join PC, RB and QA

The point where PC, RB and QA meets called centroid.

Hence, the point of intersection of three medians is Centroid.

Learn more about Triangles:

https://brainly.com/question/2773823

#SPJ2

Ter.
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
Use the interactive tool tahyaluate the expression.

Answers

Answer:

commutative property

Step-by-step explanation:

Answer:

its commutative property and 5

Identify the value for the variable

Answers

Answer:

-12, 4

Step-by-step explanation:

7^-9 x 7^-3 = 7^-12

When you multiply exponents with the same base, you add them.

11^-4/11^-8 = 11^4

When you subtract exponents with the same base, you subtract the exponent in the numerator by the exponent in the denominator.


Select True or False.
The expression 3x – 4(2x – 5) is equivalent, to the expression 20 – 5x.
True
O false

Answers

Answer:

true

Step-by-step explanation:

[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]

Answer:

true

Step-by-step explanation:

3x -4(2x-5)

3x-8x+20

5x+20

hey what 4a + 5 - 7a = 35​

Answers

A=-10 put this in photo match it will help a lot!

Suzanne Attired makes fashionable garments. During a particular week employees worked 360 hours to produce a batch of 132 garments, of which 52 were seconds (meaning they were flawed). Seconds are sold for $90 each at Attired's Factory Outlet Store. The remaining 80 garments are sold for $200 each. What is the labor productivity ratio of this manufacturing process

Answers

Answer:

$57.44 per hour

Step-by-step explanation:

Given that :

Hours worked = 360 hours

Production = 132 batches of garment

Of the 152:

52 were flawed (sold at $90 each)

80 were sold at $200 each

Labor productivity ratio: (output value / input value (hours worked))

Output value = [(52*$90) + (80*$200)]

Output value = $20,680

Labor productivity ratio = $20,680 / 360 hours

Labor productivity ratio = $57.44 per hour

Shaun thinks that pi * 0 results in an irrational number. He thinks so because irrational and is rationalthe product of a rational number and an irrational number is irrational. Is Shaun correct? Explain why or why not.

Answers

Answer: No, Shaun is incorrect because pi never ends and is infinite and doesnt repeat not because its irrational and is rational the product of a rational number and an irrational number is irrational.

Step-by-step explanation:

Theres not really and explanation of how to get this answer you just need to think about it and see what would make sense.

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