In the morning a group of hikers hiked 3 ½ miles, took a break, and then hiked another 2 ¾ miles. The group then stopped for lunch. In the afternoon, the group the hiked 4 ¼ miles, and took another break. How many more miles do they need if the whole trail is 14 miles long?

Answers

Answer 1

Answer:

3 2/4

Step-by-step explanation:

1/2 is equivalent to 2/4 so you add 3 2/4 + 2 3/4 and that = 6 1/4 and its simple math from there on, 6 1/4 + 4 1/4 = 10 2/4 finally 14 - 10 2/4 = 3 2/4

Answer 2

5.5 miles are left to cover.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

In the morning a group of hikers hiked 3 ½ miles

and then hiked another 2 ¾ miles. then group the hiked 4 ¼ miles.

Total miles to cover = 14 miles

So, number of miles to be driven

= 14 - ( 3 ½ + 2 ¾ + 4 ¼)

= 14 - ( 7/2 + 11/4 + 17/4)

= 14- (14/4 + 11/4 + 17/4)

= 64 - 42 / 4

= 22/4= 11/2

= 5.5 miles

Hence, 5.5 miles are left to cover.

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Related Questions

if the first one was blurry but pls help

Answers

Answer:

400 minutes it will take

How many solutions does this equation have ?
2(2x-1)=(x+1)+3(x-1)​

Answers

Yep his right and it is shown to me good

Which equation is true when X = -5?
2/5x+15-17
7+5x = 18
6- 4x = -14
0.5-2.4x = 12.5

Answers

Answer: 0.5-2.4x=12.5

Step-by-step explanation:

-2.4(-5)=12

0.5+12=12.5

2. Which property is being used in the second line?
line 1: (4.5.-1). -6
line 2: 4.5 .(-1.-6)
line 3: 4.5 .6
line 4: 27
O A. Distributive
O B. Commutative
O C. Associative
O D. Additive Inverse

Answers

Answer:

C associative to associate both of them

Let p: A student plays basketball.
Let q: A student plays tennis.



How many students play both basketball and tennis?

4
8
32
36

Answers

Answer:

the answer is 4

Step-by-step explanation:

By the concept of the intersection of sets 4 students play both basketball and tennis

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

In this example, we search for the group of students who participate in both sports because we are aware that p is the set formed by the students who play basketball and q is the group formed by the students who play tennis. In other words, we seek the point at where the sets p and q intersect.

Each set is represented by a circle in the Venn diagram, and the set produced by the intersection of p and q is represented by the area where the two circles overlap.

This graph demonstrates that there are 4 kids that participate in both basketball and tennis.

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Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2

Answers

In the correct question is ( d ) because x=-6

0.04 Equation Editor

Answers

Answer:

Step-by-step explanation:

Equation 3.0.

Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice

Answers

Answer:

A, D, E

Step-by-step explanation:

The statements that are true about the graph of the function are

The function in vertex form is f(x) = (x - 4)^2 - 11.The y-intercept of the function is (0,5).The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

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PLSS help i dont understand I found w =59 but dont know how to find the rest

Answers

Answer:

i think that Y= 59 because of it being a vertically opposite angle and X= 121 because of the line being a straight one and angles on a straight line add to 180

Step-by-step explanation:

hope this helps :))

Which equation shows a proportional relationship? *

y= -2x +5
y= 3+ 5x
y= -3x

Answers

Answer:

y= -3x

Step-by-step explanation:

The graph of a line with a proportional relationship would have the line go through the origin.

Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.

y= -3x should be the correct answer.

Hope this helps.

2x-4y=28 solve for y

Answers

Answer:

y=7+1/2x

Step-by-step explanation:

Hope this helps

Wade has three more quarters than dimes. The total value of the dimes and quarters together is $13. How many quarters does he have?

Answers

Answer:

38 Quarters

Step-by-step explanation:

D=number of dimes; Q=number of quarters=D+3

.

$0.10D+$0.25Q=$13

$0.10D+$0.25(D+3)=$13

$0.10D+$0.25D+$0.75=$13

$0.35D=$12.25

D=35

.

Q=D+3=35+3=38

ANSWER: He has 38 quarters.

What times 21 equals 7? Is that even possible to multiply something by 21 to get 7?

Answers

Answer:

Step-by-step explanation:

Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?

Answers

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

Answer:

125

Step-by-step explanation:

Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.\

Answers

Complete Question

Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.

a

State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.

b

What is the sample proportion indicating that their  financial security was more that fair in 2012?In 2010?

c

Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?

Answer:

a

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

b

in 2012  [tex]\r p_1 =0.41[/tex]

in 2010  [tex]\r p_2 =0.35[/tex]  

c

The  p-value  is  [tex]p-value = 0.0072 [/tex]

The conclusion is

There is  sufficient evidence to conclude that the proportion of those indicating that  financial security is more fair in Feb 2010 is different from the proportion of  those indicating that financial security is more fair in Feb 2012.

Step-by-step explanation:

From the question we are told that

   The  sample size in 2012 is  [tex]n_1 = 1000[/tex]

    The  number that indicated that their finance was more than fail is  k  =  410  

     The  sample  size in 2010  is  [tex]n_2 = 900[/tex]

   The  number that indicated that their finance was more than fail is  u  =  315

     The  level of significance is  [tex] \alpha  =  0.05[/ex]

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

Generally the sample proportion for  2012 is mathematically represented as

     [tex]\r p_1 = \frac{k}{n_1}[/tex]

=>   [tex]\r p_1 = \frac{410}{1000}[/tex]

=>   [tex]\r p_1 =0.41[/tex]

Generally the sample proportion for  2010 is mathematically represented as

      [tex]\r p_2 = \frac{u}{n_2}[/tex]

=>   [tex]\r p_2 = \frac{315}{900}[/tex]

=>   [tex]\r p_2 =0.35[/tex]    

Generally the pooled sample proportion is mathematically represented as

      [tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]

=>     [tex]\r p =  \frac{410 + 315 }{1000+ 900}[/tex]

=>      [tex]\r p = 0.3816 [/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]

 [tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]    

 

 [tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]

   [tex]z  =  2.688[/tex]

Generally the p- value  is mathematically represented as  

      [tex]p-value = 2 P(Z >2.688  )[/tex]

From the z -table  

      [tex]P(Z > 2.688) = 0.0036 [/tex]

So  

      [tex]p-value = 2 *0.0036 [/tex]

        [tex]p-value = 0.0072 [/tex]

So from the p-value  obtained we see that p-value  <  [tex]\alpha[/tex] so we reject the null hypothesis

Thus there is  sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.

Which function h(x) results when g(x) is translated IT
units right and 1 unit down?

Answers

Answer:

b on edge

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge

Step by step 2 step equation: v/6-4=-5

Answers

I have the same question as this...!!!

FIRST ANSWER GETS CROWNED BRAINLIEST!!!
If the slope of a line is 1/2, find x when (-4, 12) and (x, 5) ?
Please show formula.

Answers

Answer:

x = -18

Step-by-step explanation:

Well you just have to do the this formula to find the slope

[tex]\frac{y2 - y1}{x2 - x1}[/tex]  Plug in

[tex]\frac{5 - 12}{x - -4 }[/tex] = [tex]\frac{-7}{?}[/tex]=[tex]\frac{1}{2}[/tex]

So we know x will have to be a negative to get 1/2

I would think x = -18 because -18 - -4 = -14 so it would look like this

[tex]\frac{5 - 12}{-18 - -4}[/tex] = [tex]\frac{-7}{-14}[/tex] =[tex]\frac{1}{2}[/tex]

When you further simplify -7/-14 you get 1/2

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.

Answers

Answer:

$430.90

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90[/tex]

Hence after 18years the money in the account will be $430.90

John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?

Answers

Step-by-step explanation:

It is given that,

John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :

Speed = distance/time

v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]

The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.

Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :

y = 0.1190x

In this problem, the constant of proportionality is 0.1190.

Find the missing number?

Answers

Answer:

$4.60 and $18.40

Step-by-step explanation:

The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.

tell me how to solve 3 1/2 x 2 3/4

Answers

Answer:

9.625

Step-by-step explanation:

(3 1/2) x (2 3/4) = 9.625

Answer:

.........................

Please help will mark brainliest and 20 points

Answers

Answer:

10 weeks

Step-by-step explanation:

she already has 14

so 5 x 10 = 50

14+50=64

During a science experiment, your teacher does a demonstration. She takes a
small piece of rope, weighs it to find its starting weight, burns it, and then
weighs it again. The final mass of the product is different from the starting
weight of the reactant.
Why is the final mass different? Does this mean that the product has less
mass? Why or why not?

Answers

Answer:

less mass

Step-by-step explanation:

The product has less mass because some of its mass got burned. Hope this helps!

some parts of the rope turned into gasses because of the intense heat (fire)

What is the area of this triangle? And it's not 60, I already checked. PLEASE EXPLAIN!!!!​

Answers

Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

4

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

if f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)

Answers

Answer:   3^x - 2x + 14

=====================================

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )

(f - g)(x) = 3^x + 10 - 2x+4

(f - g)(x) = 3^x - 2x + (10+4)

(f - g)(x) = 3^x - 2x + 14

What is the measure of the missing angle?

76
166
86
156

Answers

the answer is 156. subtract 180-24 and get 156

what's the slope of these two lines ​

Answers

Answer:

the green line is 3/4 and the blue line is-3/4

I need to figure this out

Answers

Answer:

plug in the missing numbers and you have the answers

Step-by-step explanation:

6×5=232+4×3=4427×3-(16+3×5)=507×5÷3+2=13.62×7-4×3=2

There are 12 girls for every 16 boy in class.
What is the ratio of boys to girls?
Write the ratio 3 ways.​

Answers

3:4, 3 to 4, 3/4

Hope this helps
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