steven traveled for 10 hours at a constant rate of 53 miles per hour. Stephanie traveled at the same distance at a constant rate of 48 miles per hour. How long did it take stephanie to travel the same distance as steven, write an equation to solve.

Answers

Answer 1

Answer:

It took 11.04 hours  by Stephanie.

Step-by-step explanation:

Concept

distance = speed*time

time = distance/time

_________________________________

Given

for Steven

time  = 10 hours

speed = 53 miles per hour

Distance for steven = 53*10 = 530 miles

_____________________________________

Now ,

as Stephanie also traveled the same distance as steven

Distance = 530 miles

speed = 48 miles per hour

time = 530/48 hour = 11.04 hours

Thus, It took 11.04 hours  by Stephanie.

In other way

since distance traveled by Steven and Stephanie are same

let time taken by Stephanie be x hours

Distance traveled by steven = Distance traveled by Stephanie

53*10 = 48*x

x = 530/48 = 11.04 hours

equation = 53*10 = 48*x


Related Questions

Can someone pls help

Answers

Answer:

It looks like the number line is going by 2's. So I would say the answer is 20.

Hope this helps!

Answer: 20

Step-by-step explanation:

Assuming for every line you go up you increase the by 2.

So if you have 8 you skip a line and you end up at 12 the next line the line in between those 2 numbers should be 10. Leaving you with a sequence of numbers and if you keep going along 12, 14, 16, 18, you arrive at 20.

Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster?

Answers

Answer:

22.25 inches

Step-by-step explanation:

Since in the question it is mentioned that the mitch wants to buy a poster and wants to put on a wall that is between his door of the bathroom and the closet door

Also the space between these two doors is 22.25 inches

So based on the above information, the width of the poster should be equivalent to the given space i.e. 22.25 inches and the same is to be considered

Answer:

Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster? (The poster needs to fit on the wall, so it needs to be smaller or equal to the width between the doors

Step-by-step explanation:

The population of algae in an
experiment has been increasing by 40% each day. If there were 20 algae at the beginning of the experiment, predict the number of algae in 7 days.
First, complete the equation:
Future Amount = [?](1+[]0

Answers

The equation is y = 20(1.40)^x

where x is the number of days and y is the future amount after x days go by

The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40

-----------------------------

Plug in x = 7 to get

y = 20(1.40)^x

y = 20(1.40)^7

y = 210.827008

y = 211

We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about 211 algae.

A restaurant chef made 1 1/4 pints of mushroom soup. Each bowl of soup holds 5/8 of a pint.
How many bowls of soup will the chef be able to fill?

Answers

Answer:

2 bowls of soup

Step-by-step explanation:

1. Make 1 1/4 an improper fraction

1 1/4 = 5/4

2. Then divide 5/4 by 5/8 (KCF - Keep the 5/4 - Change the division sign to multiplication - 'Flip' 5/8 to 8/5)

5/4 x 8/5 = 40/20

3. Simplify the fraction (divide the numerator and denominator by 20)

40/20 = 2

4. Final answer:

2 (bowls of soup)

Is ......... a rational number ?

Answers

Answer:

The third one.

Step-by-step explanation:

Pretty sure it’s the third one as well

write 26 as reapeated multiplication​

Answers

Answer:

Step-by-step explanation:

26 = 13* 2

Repeated addition :

26 = 13 + 13

3 + (5 + 7) = (3 + 5) + 7

Answers

Answer:

true

Step-by-step explanation:

3 + (5 + 7) = (3 + 5) + 7

3 + (12) = (8) + 7

15 = 15

cual es el resultado de (7.006×10⁴¹)×(5.09×10²²)

Answers

Answer:

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

Step-by-step explanation:

La notación científica es una manera rápida de representar un número utilizando potencias de base diez.

Los números se escriben como:

a*10ⁿ

donde:  

a es un número real mayor o igual que 1 y menor que 10.n es un número entero, que recibe el nombre de exponente u orden de magnitud. Representa el número de veces que se desplaza la coma. Siempre es un número entero, positivo si se desplaza a la izquierda, negativo si se desplaza a la derecha.

Para realizar la multiplicación con notación científica, debes multiplicar las magnitudes afectadas por las potencias de 10 y, por separado, multiplicar las potencias de 10, recordando la propiedad:

Si dos bases son iguales (el mismo número o variable), y son los factores de una multiplicación, ambas bases quedan en una sola y sus exponentes son sumados: xᵃ*xᵇ= xᵃ⁺ᵇ

En este caso:

(7.006×10⁴¹)×(5.09×10²²)=(7.006*5.09)*(10⁴¹*10²²)=35.66054*10⁴¹⁺²²= 35.66054*10⁶³

Siguiendo el formato a*10ⁿ, debes ajustar el valor de la base a de manera que sea un número real mayor que 1 y menor que 10. Entonces, se mueve la coma decimal hacia la izquierda tantos espacios hasta llegar a la derecha del primer dígito.  Y se escribe la base 10, al cual el exponente se suma la cantidad de espacios que se mueve la coma, que es un número positivo porque la coma se desplaza a la izquierda.

Entonces 35.66054*10⁶³= 3.566054*10⁶⁴

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

What is the domain of the function represented by the graph?
U
2
2
all real numbers
-43x4
0-3 Oy <0

Answers

Answer:

I believe its ALL REAL NUMBERS

Step-by-step explanation:

im not sure because they didnt put in a picture of the graph

3p + 4r = q solve for p

Answers

Answer:

[tex] p = \dfrac{q - 4r}{3} [/tex]

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

[tex] p = \dfrac{q - 4r}{3} [/tex]

Answer:

[tex]p=\frac{q}{3} - \frac{4}{3}r[/tex]

Step-by-step explanation:

If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.

Given [tex]3p + 4r = q[/tex], we can do a few actions on it to isolate the variable.

Divide both sides by 3:

[tex]p + \frac{4}{3}r = \frac{q}{3}[/tex]

Subtract [tex]\frac{4}{3} r[/tex] from both sides:

[tex]p = \frac{q}{3} - \frac{4}{3}r[/tex]

Hope this helped!

How do I do scientific notation?

Answers

Answer:

Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...

Step 2: Count the number of decimal places moved in Step 1 . ...

Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Step-by-step explanation:

divide 10kg in the ratio of 13 : 7

Answers

Answer:

6.5 : 3.5

Step-by-step explanation:

So to do this sum;

First, add both 13 and 7 which is 20

 Then, 13/20 *10 = 6.5

and 7/20 *10 = 3.5

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Equal quotients correspond to equal ratios.

Select all the ways the rectangle could have been rotated to get from Frame 1 to Frame 2. 40 degrees clockwise 40 degrees counterclockwise 90 degrees clockwise 90 degrees counterclockwise 140 degrees clockwise 140 degrees counterclockwise Lesson 3

Answers

Answer:

40 degrees clockwise

140 degrees counterclockwise

Step-by-step explanation:

The rectangle is rotated in Figure B. The angle of rotation is 40 degrees. If we rotate a rectangle at an angle of 40 degrees clockwise then wit will be at the position as shown in figure B. The 90 degrees angle is perpendicular angle. Rectangle will not reach the desired position. If we rotate the rectangle at 140 degrees counterclockwise this will be the figure B representation. The rotation to 90 degree counterclockwise is either not suitable for the desired rectangle position.

Skill Sumi
A. 5= -2(x- 1)

B. 5 = -2x+2
1) How can we get Equation B from Equation A ?
Choose 1 answer:
A)Rewrite one side (or both by combining like terms

B)Rewrite one side or both using the distributive property

C)Multiply divide both sides by the same non-zero constant
D)Multiply divide both sides by the same variable expression

Answers

Answer:

[tex]\Large \boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

[tex]\sf 5 = -2(x - 1)[/tex]

Applying the distributive property.

We distribute the -2 to the terms in the brackets on the right side of the equation to get Equation B.

[tex]\sf 5 = -2(x) -2(-1)[/tex]

[tex]\sf 5 = -2x + 2[/tex]

To get Equation B from Equation A, we rewrite one side or both using the distributive property.

why are greek letters used in math and their origin and reasons

Answers

Answer:

Because European mathematics is very heavily rooted in the mathematics of ancient Greece, and due to the need for many symbols to represent constants, variables, functions and other mathematical objects, mathematicians frequently use letters from the Greek alphabet in their work.

Please show work and help me understand this multi-step equation.

Answers

Answer:

The correct answer is a = 17/9.

Step-by-step explanation:

To begin this problem, we should use the distributive property on the left side of the equation to get rid of the parentheses.  This means that we can multiply each term inside the parentheses by the coefficient outside the parentheses.  This is modeled below:

3a - 2 = 3/4a + 2 1/4

Next, we should change the mixed number into an improper fraction so that it is easier to work with.

3a - 2 = 3/4a + 9/4

Now, we can multiply both sides of the equation by 4.  This is not a required step, but it will get rid of the fractions on the right side of the equation, so we only have to work in full numbers.

12a - 8 = 3a + 9

The next step is to subtract 3a from both sides and add 8 to both sides to separate the variable and constant terms.

12a - 3a - 8 + 8 = 3a - 3a + 9 + 8

9a = 17

Next, we can divide both sides by 9 to get our variable a alone on the left side of the equation.

a = 17/9

Therefore, the correct answer is a = 17/9.

The correct answer is 17/9

The average price of gasoline in Paris, France, is 1.91 euros per liter. If there are 3.785 liters in one gallon, and the exchange rate is 1.203 euros for one dollar, what is the price of gas in dollars per gallon for gasoline in Paris?
The price of gasoline in Paris is $.61/gallon
The price of gasoline in Paris is $2.38/gallon
The price of gasoline in Paris is $6.00/gallon

Answers

Answer:

The price of gasoline in Paris is $6.00/gallon

Step-by-step explanation:

We are asked to find the price of gas in dollars per gallon for gasoline in Paris.

Step 1

We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.

Also we are told that, the exchange rate is 1.203 euros for one dollar

We convert the Euros to dollars

If, 1.203 euros = 1 dollar

1.91 euros = x dollars

We Cross Multiply

1.203 euros × x dollars = 1.91 euros × 1 dollar

x dollars = 1.91 euros × 1 dollar/ 1.203 euros

x dollars = 1.5876974231 dollars

Therefore, 1.203 euros = Approximately 1.59 dollars.

Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.

Step 2

We convert the from liter to gallon

In the question, we are told that:

If there are 3.785 liters in one gallon

Therefore, if

1 liter of gasoline = 1.59 dollars

3.785 liters of gasoline =

Cross Multiply

= 3.785 liters × 1.59

= 6.01815 dollars.

Approximately to the nearest whole number = 6.00 dollars.

Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon

need this answer quick due soon help​

Answers

Answer:

2/9

Step-by-step explanation:

Let 0.2222..... be x

10x = 2.2222222......

=> 10x - x = 2.22222..... - 0.22222....

=> 9x = 2

=> x = 2/9

Let n represent the number of tablets the vet should prescribe. Which expressions will correctly solve the problem? Select all that apply. response - correct 25n =2×25 25n=252 n=2×2525 n=2×25. Solve How many tablets should the vet prescribe per day? Enter the value in the box tablets per day.

Answers

Answer:

Step-by-step explanation:

uu89yhuhiojsijdoyjtdoyitpoyirtudyjfjfj

Answer:

here this will help

Step-by-step explanation:

Solve the equation. | 3k-2 | = 2| k+2 |

Answers

Answer:

[tex]-2/5 \text{ and } 6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|3k-2|=2|k+2|[/tex]

First, distribute the 2 into the absolute value:

[tex]|3k-2|=|2k+4|[/tex]

Definition of absolute value:

[tex]3k-2=(2k+4) \text{ or } 3k-2=-(2k+4)[/tex]

Left:

[tex]3k-2=2k+4[/tex]

Subtract 2k from both sides:

[tex]k-2=4[/tex]

Add 2 to both sides:

[tex]k=6[/tex]

Right:

[tex]3k-2=-(2k+4)[/tex]

Distribute the negative:

[tex]3k-2=-2k-4[/tex]

Add 2k to both sides:

[tex]5k-2=-4[/tex]

Add 2:

[tex]5k=-2[/tex]

Divide by 5:

[tex]k=-2/5[/tex]

So, our solutions are:

[tex]-2/5 \text{ and } 6[/tex]

Will give brainliest who can answer this simple algebra 2 question

Answers

Answer:

it reflected over y axis

the answer is the top left

Step-by-step explanation:

Jaden has $30 dollars in a savings account. The internet rate is 10% per year and is not compounded. How much will he have in 3 years?

Answers

Answer:

At the end of three years he would have 21$ remaining

Step-by-step explanation:

10% * 30 =3$

$3*3years=$9

$30-$9=$21

Answer:

it its interest its $39 you add not subtract

Step-by-step explanation:

In a certain county, the number of charter schools is 6 less than twice the number of alternative schools. We know that there are 52 charter schools in the county. How many alternative schools are in the county?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

So, 52 charter schools and the number is 6 less than the alternative schools doubled. In order to find the number of alternative schools, we need to reverse the equation. 52+6=58. That means 58 is twice the amount of alternative schools. 58/2 equals 29, therefore the answer is 29

Where would you place root 8 on the Venn diagram? A) integers B) natural numbers C) rational numbers D) irrational numbers

Answers

Answer:

Option (D)

Step-by-step explanation:

All rational and irrational numbers are real numbers.

{-2, -1, -1.8, 0, 1, 2.......}

Numbers written in the form of [tex]\frac{p}{q}[/tex] are rational numbers. They are the part of irrational numbers.

{-2.5, -2, -1, 0, 1, 2.....}

Whole numbers with negative or positive notation are integers.

{-3, -2, -1, 0, 1, 2, 3, 4......}

Positive integers are the whole numbers (including zero).

{0, 1, 2, 3, 4, .......}

All whole numbers excluding zero are the natural numbers.

{1, 2, 3, 4,........}

Irrational numbers are the part of real numbers written in the form of [tex]\frac{p}{q}[/tex].

{[tex]\sqrt{2},\sqrt{5},\pi, \sqrt{10}[/tex]}

Therefore, [tex]\sqrt{8}[/tex] comes under Irrational numbers.

Option (D) is the answer.

A math club has 25 members, of which 11 are males and the rest are females. What is the ratio of females to all club members?

Answers

Answer:

The answer is 14/25

Step-by-step explanation:

If there are a total of 25 club member, and 11 of them are male, that would make the other 14 female. So it would be 14/25.

I don't get this at all can you pls help me?

Answers

Answer: -13.85

Step-by-step explanation:

Simplify.

4.6−7.28−11.17

=−13.85

Answer:

[tex]\huge \boxed{\mathrm{-13.85}}[/tex]

Step-by-step explanation:

[tex]4.6+(-7.28)-11.17[/tex]

Removing brackets.

[tex]\Rightarrow 4.6-7.28-11.17[/tex]

Combining.

[tex]\Rightarrow -2.68-11.17[/tex]

[tex]\Rightarrow -13.85[/tex]

3 + 3w < -9




.........

Answers

Answer:

w < - 4

Step-by-step explanation:

Given

3 + 3w < - 9 ( subtract 3 from both sides )

3w < - 12 ( divide both sides by 3 )

w < - 4

A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1 over 7 , and the probability of randomly pulling out a strawberry candy is 2 over 7 , what is the probability of randomly pulling out a pineapple candy?

Answers

I think it’s 3 over 7 I am rlly not sure if that’s right I just based it off the pattern
Because 7 is the “denominator” that means there are 7 total candies in the bowl.

So if you already know that you have a 1 in 7 chance of pulling a orange, and a 2 in 7 chance of pulling a strawberry, then the other 4 candies in the bowl will be pineapple.

Therefore the probability of pulling out a pineapple candy would be 4 out of 7.

Taking the square root of a number is the *blank * Of squaring a number

Answers

Answer:

Opposite

Step-by-step explanation:

They are complete opposites:

When you take the square root of a number, you are taking the number to the 1/2 power. For example, the square root of 9 is 3.

When you square a number, you multiply it by itself. For example, 3 squared is 9.

So, these are opposites because when doing these operations to the same number, the products will be "opposites" of each other, like the examples above.

Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y

Answers

Answer:

the Empty set

Step-by-step explanation:

Recall that the intersection of two sets is another set that contains the elements common to both of the intersected sets.

Since sets A and C have NO element in common, then the answer is:

that the intersecting set is: the Empty set.

Answer:

the empty set

Step-by-step explanation:

this simbol ∩  is the intersection and it works as follows

[tex]X={1,2,3}\\\\Y={2,5,6,3}\\\\[/tex]

and X∩Y={2, 3}

because 2 and 3 are the only ones that are in both sets

so we have

A={a, e, i, o, u}

B={a, l, g, e, b, r}

C={m, y, t, h}

A∩C= the empty set

because A and C don't have any common subset

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