How much time will Alex need to walk to his school, which is 2 1 /4 miles away from his house, if he would walk with the speed of 3 3/4mph

Answers

Answer 1

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\qquad \qquad 2\frac{1}{4}m=3\frac{3}{4}\frac{m}{hr}\cdot t\implies \cfrac{2\frac{1}{4}m}{3\frac{3}{4}\frac{m}{hr}}=t \\\\\\ \cfrac{\frac{9}{4}m}{\frac{15}{4}\frac{m}{hr}}=t\implies \cfrac{9\underline{m}}{4}\cdot \cfrac{4hr}{15\underline{m}}=t\implies \cfrac{9\cdot 4}{4\cdot 15}hr=t\implies \cfrac{3}{5}hr=t[/tex]

so, 36 minutes then.

Related Questions

150 adults complete a survey. 80 are women. Write the ratio men:women in its simplest form?

Answers

Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.

Given :

Total number of adults = 150.

Total number of Women = 80.

Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:

Step 1 - Let the total number of men be x.

Step 2 - Now, the total number of adults is 150 that is:

150 = x + 80 ---- (1)

Step 3 - Subtract 80 from both the sides of the equation (1).

150 - 80 = x + 80 - 80

70 = x

Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:

[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]

[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]

So, the ratio men:women in its simplest form is 7:8.

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find an angle measure that is supplementary to this angle 126 degrees

Answers

Answer:

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

The sum of the measures of two supplementary angles is 180°.

180° - 126° = 54°

Answer: 54°

What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.

Answers

we know that

The equation of the line into slope-intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]2x+3y=6[/tex]

Isolate the variable y

[tex]3y=-2x+6[/tex]

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

[tex]y=-\frac{2}{3}x+2[/tex]

the slope is [tex]m=-\frac{2}{3}[/tex]

the y-intercept is [tex]b=2[/tex]

the answer in the attached figure

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

A linear equation is given by:

y = mx + b;

Where y,x are variables, m is the slope of the line and b is the y intercept.

Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:

2x + 3y = 6

3y = -2x + 6

Dividing through by 3:

y = (-2/3)x + 2

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

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Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.

Answers

The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.

The ratio of female students to the total number of students:

11 female students to 21 total students: 11/21

Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2

Y -2 > -11 what is the answer to this

Answers

-9 because you add positive 2 to counter act -2 which gives you -9

14???????????????????????

In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance? In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?

Answers

no because it is taking the mean if the whole group and not each individual

Answer:

The weight loss program is statistically significant.

Step-by-step explanation:

We can define a statistically significant difference or result as a result which is not attributed to chance. In other words we can say that a statistical significance shows if the difference observed between groups is real or if it has occurred simply due to chance.

Here, given is that 40 subjects lost a mean of 3.0 lb after 12 months.

So, here the weight loss program is statistically significant as the results are unlikely to occur by chance.

How to turn a repeating decimal into a fraction 0.1515?

Answers

take the first 2 numbers and put them over 99

so 0.151515 would become 15/99

You would take the first two numbers of the decimals .15 and move the decimal place two places to the left making it 15. Then to make it a fraction is would be 15/100.

What is the value of x

Answers

Hello there!

This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.

How do we find the missing angles?

The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.

We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.

Well, all we have to do is follow the rules.

They say we need to add all the angles together.

40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70

The correct answer is 70.
----------------------------------

Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180

I hope this helps!

At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item

Answers

The full explanation can be found on my page because I've answered this exact question before, but the individual cost is $9.

How to tell if an equation has no solution without solving?

Answers

if the awnsers equal eachother for example
x+3=5+x-2

How many solutions are there?

Answers

the answer should be two

The coefficients of the expression 5x^4-4x^2+3 are??

Answers

The coefficients of the expression are 5 and 4 because they have a variable next to them. Hope this helps.

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

Enter your answer in the box.

Answers

Answer:

the slope is 3/4

Step-by-step explanation:

the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.

The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4

The given line equation is:

3y = -4x + 2

Express the equation in the point-slope form of a line equation

The point-slope form of the equation of a line is y = mx + c

where m represents the slope

and c represents the y-intercept

3y = -4x + 2

[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]

Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:

The slope, m = -4/3

The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:

[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]

The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4

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The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?

Which three expressions could be used to represent the numbers?

n; n - 4; 4n
n; 4 - n; n + 4
n; n/4; n + 4

Answers

Let's translate these sentences to math one-by-one.

"The sum of three numbers is 62..." translates to the expression:

? + ? + ? = 62

We aren't given any modifications to the first number, so let's just pick a variable n to represent it.

n + ? + ? = 62

The second number is "equal to the first number diminished by 4. We can interpret "diminished by 4" as meaning "subtracted by 4," so we now have:

n + (n - 4) + ? = 62

And finally, we have that the third number is "four times the first," which evidently implies multiplication of the first number by 4. Which gives us:

n + (n - 4) + (4n) = 62

At this point, we don't even need to solve for n, since we already have our three expressions, and those are n, n - 4, and 4n.

5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the plywood.

Answers

5w^2 = A

You would multiply the width (w) by 5 because it's 5 times more than twice it's width. Then w (Width) would be to the power of 2 because it's 5 times more than twice its width. And this will all equal the Area (a)

Please help me with this!!

Answers

Answer: Choice C) 115 degrees

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

Explanation:

The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65

To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on

Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on

Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer

Find the point on the line y = 92x closest to the point (1, 0)

Answers

Let the point on the line y = 92x closest to the point (1, 0) be (x, 92x), then the distance between point (1, 0) and (x, 92x) is given by:

[tex]L=\sqrt{(x-1)^2+(92x-0)^2} \\ \\ =\sqrt{x^2-2x+1+8464x^2}=\sqrt{8465x^2-2x+1}[/tex]

For shortest distance,

[tex] \frac{dL}{dx} =0[/tex]

[tex] \frac{dL}{dx} =0 \\ \\ \Rightarrow \frac{16930x-2}{2\sqrt{8465x^2-2x+1}} =0 \\ \\ \Rightarrow16930x=2 \\ \\ \Rightarrow x= \frac{1}{8465} [/tex]

and [tex]y=92\left(\frac{1}{8465}\right)=\frac{92}{8465}[/tex]

Therefore, the required point is [tex]\left(\frac{1}{8465},\ \frac{92}{8465}\right)[/tex]

Which is the quadratic variation equation for the relationship y varies directly with x^2 and y=72 when x=3

Answers

y =72

x = 3

X^2 = 3^2 = 9

k = y/x = 72/9 =8

so you should have an option of:

y =8x^2

the answerto your question is =8x^2

A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.

Answers

answer:28/52 chance aka 54% chance

Work:
Prob(ace or black card)= Prob(ace) + Prob(black card) - P(ace and black card)

=4/52 + 26/52 -2/52
=28/52

The probability that the card is an ace or a black card is 7/13

Probability is the likelihood or chance that an event will occur.

A standard card contains 52 cards. Hence the total outcome is 52.

Since there are 4 aces, the expected outcome is 4The total number of black cards is 26The total card that is ace and black is 2

Get the required probability;

Prob(ace or black card) = Prob(ace) + Prob(black card) - P(ace and black card)

Prob(ace or black card) = 4/52 + 26/52 -2/52

Prob(ace or black card) = 28/52

Hence the probability that the card is an ace or a black card is 7/13

Learn more on probability here: https://brainly.com/question/14192140

What is 2(6+5•2)=5(4-2•5)

Answers

32=-30
..................................

Answer: Not true

Step-by-step explanation: 2(16)=5(-6)

32=-30

This is not true

Factor this expression: ab + 4 + a + 4b

Answers

Grouping method works best on this one:

ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)

Answer:

Grouping method works best on this one:

ab+a+4+4b=a(b+1)+4(b+1)

=(a+4)(b+1)

Step-by-step explanation:

Dani is working a sample booth at the national soda and beverage convention. She is paid $1.50 for each of the first ten tastings $2.50 for each of the next twenty tastings and $4.00 for each tasting beyond thirty she conducts each day. Today Dani conducted 36 tastings. How much total pay did Dani earn today?

Answers

She conducted 36 tastings.

10 tastings are in the category of the first 10 tastings.
10 * $1.50 = $15.00

36 - 10 = 26
Out of the remaining 26 tastings, 20 are int eh category of "the next 20 tastings."
20 * $2.50 = $50.00
This accounts for 10 + 20 = 30 tastings.

36 - 30 = 6
She did 6 tastings beyond the 30 tastings, so for the last 6 tastings, she gets paid
6 * $4.00 = $24.00

The total pay is:
$15.00 + $50.00 + $24.00 = $89.00

How to solve it using the system of substitution

Answers

Find x, y,and z. Once ypu find that you should be able to find your answer

A ray that contains a point that is equidistant from both sides of the angle. *

Answers

Consider a angle â BAC and the point D on its defector Assume that DB is perpendicular to AB and DC is perpendicular to AC. Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC Proof Consider triangles Î”ADB and Î”ADC Both are right angle, â ABD= â ACD=90 degree They have congruent acute angle â BAD and â CAD( since AD is angle bisector) They share hypotenuse AD therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles

An ion has a charge of +7. How far is it from being neutral?

A. -0.07
B. -7
C. 7
D. 70
E. 0.7

Answers

wsedrftghjiuytrewsdfghjhgres

Your answer is E. Sorry if wrong hope this helped

(Might be wrong!)

Answer:

B. -7

Step-by-step explanation:

An atom has a neutral charge with equal numbers of positive and negative particles,

That is, an atom with no chargen or 0 charge is called neutral.

Given,

The ion has a charge of +7,

Also, + 7 - 7 = 0,

Thus, for being neutral the ion needs -7 charge,

Hence, option 'B' is correct.

Given that x is a positive number, Niram conjectured that x3>x2 .

What value is a counterexample to Niram's conjecture?

−5

110

1

5

Answers

The answer is 1 for those wondering.

Complete the point-slope equation of the line through (-4,8) and (4,4)

Answers

Point Slope Form looks like this:

[tex]y-y_{1} = m(x-x_{1})[/tex]

First, we need to find the m value, or slope. We can do this by using this equation:

[tex]y_{2} - y_{1 }= x_{2} - x_{1}[/tex]

4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2

Now, select one of the coordinate points, input those values and m, and solve for b.

4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b

y = -1/2x + 6

Now, input any number for x (I prefer 0, the y-intercept), and solve for y.

y = -1/2(0) + 6
y = 6

(0, 6)

After doing that, you can input that coordinate point into Point-Slope Form.

y - 6 = -1/2(x - 0)

Answer:

Step-by-step explanation:

The drama club can wash 9 cars in 40 minutes. At this rate, how many cars can they wash in 2 hours?

Answers

9/40=0.225 0.225*120(for 2 hours) =27

2Hr=120min 120/40=3 9*3=27

they can wash 27 cars in 2 hours

Thursday is 3 days before 2 days before today. what was yesterday?

Answers

Thursday is 3 days before 2 days before today.
So Thursday was 5 days ago..
5 days after Thursday is tuesday
If today is tuesday tomorrow is wednesday

"Thursday is 3 days before 2 days before today. "

This means Thursday is 5 days before Today.

So, what is 5 days after Thursday?

It is Tuesday [which is Today].

If today is Tuesday, what was yesterday? It was Monday.

ANSWER: Monday

A set of positive and negative rational numbers are shown. 715 , –215 , 1115 , 415 , –815 What is the difference between the largest and the smallest numbers in the list?

Answers

the largest is 1115
The smallest -815

to get the range, subtract smallest from largest

1115 - (-815) = x

x = 1930

The difference is 1930

hope this helps

The difference between these numbers is 1930

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