Kate walks 5 miles in 2 hours at a steady pace. How far can she walk in 1 hour and 15 minutes? Explain your reasoning.

Answers

Answer 1

Answer:

3.125

Step-by-step explanation:

Kate walks 5 miles in 2 hours (120 minutes)

The distance she can works in 1 hour 15 minutes can be calculated as follows

This can be calculated using proportion

d/75= 5/120

Cross multiply

d×120= 75×5

120d= 375

d= 375/120

= 3.125


Related Questions

The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map

Answers

Answer: 350km

Step-by-step explanation:

Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:

= 5 × 70km

= 350km

Therefore, the answer is 350km

What is the slope of the line shown below?

Answers

Answer:

2

Step-by-step explanation:

ΔX = -1 – 2 = -3

ΔY = -4 – 2 = -6

-6 divided by -3=2

Hope it helps ;)

Step-by-step explanation:

[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]

even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.

#CMIIW

What is the greatest factor of 16x and 12?

Answers

Answer:

4

Step-by-step explanation:

4 is the highest number that fits into both 16x and 12 so therefore the answer is 4.
hope that helps!

If 15 ounces of candy cost $3.75, what is the unit price per ounce?

Answers

Answer:

$0.25

Step-by-step explanation:

3.75/15 = 0.25

Answer:

0.25

Step-by-step explanation:

3.75 divided by 15= 0.25

If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?

Answers

Answer:

9000

Step-by-step explanation:

9+648o30p

Answer:

1000

Step-by-step explanation:

it may not be right but i tried

If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?

Answers

Step-by-step explaination

How to calculate interest compounded semiannually

Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...

Solve step one to the power of how many compounding periods. ...

Subtract from step two. ...

Multiply step three by the principal amount.

Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?

Answers

Answer:

4,200

Step-by-step explanation:

Tenemos un total de:

4 libros de matemáticas

3 libros de biología

3 libros de religión

10 libros en total.

Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.

Primer libro (tenemos 10 opciones)

segundo libro (tenemos 9 opciones, porque ya colocamos un libro)

tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)

Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:

C = 10*9*8*7*6*5*4*3*2*1 = 10!

Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.

Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.

Entonces el número total de combinaciones diferentes es:

[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]

Hay 4200 diferentes formas de ordenar los libros.

tell whether a triangle can have the given angle measures:
47°, 109°, 23°

Answers

Answer: No

Explanation: All the angles of a triangle has to add up to 180. The angles you provided adds up to 179, which does not equal 180. That means it can’t be a triangle.

Answer:

No

Step-by-step explanation:

47 + 109 + 23 = 179

But the angle sum of a triangle is 180.

An aluminum can has a capacity of 2.37 L. What is the capacity of the can in milliliters?
(1 L = 1,000 mL)

Answers

Answer:

2,370 mL

Step-by-step explanation:

1000mL = 1 L, so I multiplied 1000 by 2.37

If they ask for it to be set up as a proportion, I would write 1/1000 = 2.37/x and cross multiply. x = 2,370

What is 2 1/2 x 5 as a fraction and how

Answers

Answer:

12.5

Step-by-step explanation:

2 1/2 or 2.5 (in decimal form) times 5 equals 12.5

By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,

⇒ 2 1/2 × 5 = 25 / 2

What is mean by Multiplication?

The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression of the multiplication is,

⇒ 2 1/2 × 5

Now, We can multiply the numbers as;

Here, The expression of the multiplication is,

⇒ 2 1/2 × 5

Change into improper form;

⇒ 5/2 × 5

⇒ 5 x 5 / 2

After multiply the numbers as;

⇒ 25 / 2

Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,

⇒ 2 1/2 × 5 = 25 / 2

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

for brainiest:):):):):):):)

Answers

Answer:

1: 55

2: 128

3: 175

Step-by-step explanation:

I believe that this is correct.

woul Find the length of the third side. If necessary, round to the nearest tenth. 20 15​

Answers

Answer:

do you know what type of triangle it is?

Step-by-step explanation:

Which statement correctly compares the parking rates for each lot?
O Lot A costs $4.20 less per hour than Lot B.
O Lot A costs $0.10 more per hour than Lot B.
O Lot B costs $0.05 less per hour than Lot A.
O Lot B costs $0.01 more per hour than Lot A.

Answers

Answer: O Lot B costs $0.01 more

Step-by-step explanation: I think it’s O Lot B costs $0.01 more per hour than Lot A

the diagonals of the rectangle have these equations. y= 4x - 10 y= -4x + 8 find where these lines intersect

Answers

hi

if it's intersect, then :  

4x-10 = -4x+8

-10-8 = -4x-4x

 -18  = -8x

 -18/-8 = x

   18/8 = x

   9*2 /4*2 = X

   9/4 = X

So X is  9/4   then y  is  :   4( 9/4) -10 =  9-10 = -1  

Lines intercept at   (  9/4 ; -1)

3x - 2x + 1 = 8
How do I solve this

Answers

Answer:

x = 7

Step-by-step explanation:

3x - 2x + 1 = 8

x + 1 = 8

*subtract 1 from both sides

x = 7

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Combina los términos semejantes

[tex]3x-2x+1=8\\x+1=8[/tex]

Resta 1 de ambos lados de la ecuación

[tex]x+1-1=8-1\\[/tex]

Simplifica y resta los números

[tex]x=7[/tex]

B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6

Answers

Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.

The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.

Answers

Answer:

Length of the shadow of player's sister is 5.25 feet.

Step-by-step explanation:

From the figure attached,

AB represents the basketball player and DE is his little sister.

Height of basketball player = 6.5 ft

Length of shadow of the player = 9.75 ft

Height of player's sister = 3.5 ft

Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]

[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]

x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]

x = 5.25 ft

Therefore, length of the shadow of player's sister is 5.25 feet.

Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10

Answers

Answer:

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]

Step-by-step explanation:

Given

[tex]-2(3x - 4) = -16[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Required

Equations with [tex]x = 4[/tex] as a solution

[tex]-2(3x - 4) = -16[/tex]

Divide both sides by -2

[tex]3x - 4 = 8[/tex]

Add 4 to both sides

[tex]3x - 4 +4= 8+4[/tex]

[tex]3x =12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

Multiply both sides by 2

[tex]10x + 2 = 12[/tex]

Subtract 2 from both sides

[tex]10x + 2 -2= 12-2[/tex]

[tex]10x = 10[/tex]

Divide both sides by 1

[tex]x = 1[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

Open bracket

[tex]20 - 15x = 6 - 8x - 14[/tex]

Collect like terms

[tex]8x - 15x = 6 - 14 - 20[/tex]

[tex]-7x = -28[/tex]

Divide both sides by -7

[tex]x = 4[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Subtract 6 from both sides

[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]

[tex]\frac{1}{3}(9x - 12) =-16[/tex]

Multiply both sides by 3

[tex]9x - 12 = -48[/tex]

Add 12 to both sides

[tex]9x - 12 +12= -48+12[/tex]

[tex]9x = -36[/tex]

Divide both sides by 4

[tex]x =-4[/tex]

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution

Answer: 1st and 3rd

Step-by-step explanation:

Order the numbers from least to greatest.
23% , 1/4 , 0.225 .

Answers

0.225, 23%, 1/4


Step my step

23% = 0.23
1/4 = 0.25

A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup

Answers

12 small bowls of soup can be served from a 108 ounce pot of soup

150-ounce pot of soup can make 10 large bowls. Hence:

Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl

For 108 ounce pot of soup:

Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls

1 small bowl =  (3/5) large bowl

7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls

Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.

Find out more at: https://brainly.com/question/21105092

Aside from playing scrabble, what ither indoor recreational activities would you intiate in your family/community despite tha pandemic?​

Answers

Sungka. Playing sungka is fun

Inflation is at a rate of 7% per year. Today jennas favorite bread costs $3.79 what would it have cost 10 years ago?

Answers

DO u need the percetage or the price?Step-by-step explanation:

1/8 + 9/40 as a fraction in simplest form

Answers

Find the least common multiple of 8 and 40 which is 40. The denominator will be 40. For 8 to get to 40 we have to multiply the top number by five since 8 x 5 is 40.

So we will have:

5/40

9/40 already has 40 as its denominator so we will keep the fraction like that:


5/40 + 9/40 = 14/40


14/40 can be simplified by 2.


7/20




So the answer is 7/20.



Hope this helped, have an awesome day! <3

Answer:

7/20

Step-by-step explanation:

9/40, 9 divided by 40 is 0.225. 1/8, 1 divided by 8 is 0.125. Add 0.225 and 0.125 you get 0.35. 35% (0.35) of 100 to a fraction is 7/20. 7 divided by 2 is 3.5 or 0.35, 20 divided by 2 is 10 or 1. So yeah. Hope This Helps :)

Two cars leave simultaneously from points A and B, the distance between which is 280 km. If the cars move to meet each other, they’ll meet in 2 hours. But if they move in the same direction, then the car going from point A will catch up with the car going from point B in 14 hours. What is the speed of each of the cars?

Answers

Answer:

Car A speed = 80 m/s

Car B speed = 60 m/s

Step-by-step explanation:

Let Speed of Car A be represented as x

Let Speed of Car B be represented as y

280 = (x+y)(2)140 = x+y --> Equation 1

Let z represent the distance that Car A travels until it catches up to Car B

280+z = x(14)

Since it takes 14 hours for Car B to cover the distance z,

z = 14y280+14y = 14x280 = 14(x-y)20 = x-y --> Equation 2

Solving Equation 1 and Equation 2, we get:

x = y+20140 = 2y+20120 = 2yy = 60 x = y+20 = 80

Answer:

Car A speed = 80 km/h

Car B speed = 60 km/h

Step-by-step explanation:

the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?

Answers

Answer:

$12.30 is the tip

Answer:

$12.30 is the answer.

Step-by-step explanation:

82 * 0.15 = 12.3

Solve the linear inequality: x ≤ -x + 4

Answers

Answer:

x ≤ 2

Step-by-step explanation:

i hope this helps :)

Please answer correctly and no links pls

Answers

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

GIVING BRAINLIEST!!!!!


What type of triangle is shown in the image?


Acute triangle

Right triangle

Equilateral triangle

Obtuse triangle

Answers

Answer:

A. Obtuse triangle

B,C,D. Acute

Step-by-step explanation:


The sum of three consecutive odd integers is 189. What
are the integers?

Answers

Answer:

61, 63, 65

Step-by-step explanation:

n + n+2 + n+4 = 189

3n = 183

n = 61

Answer:

The three consecutive odd integers are 61, 63, and 65

Step-by-step explanation:

Let the three consecutive odd integers be:

n + 1, n + 3 and n + 5

Therefore:

n + 1 + n + 3 + n + 5 = 189

3n + 9 = 189

3n = 180

n = 60

n + 1 = 61

n + 3 = 63

n + 5 = 65

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