Determine the unit rate of a marathon runner who travels 5/2 miles in 1/4 hour.

Answers

Answer 1
The unit rate is 10mph 
Answer 2
[tex]\bf \cfrac{\frac{5}{2}~miles}{\frac{1}{4}~hr}\implies \cfrac{5~miles}{2}\cdot \cfrac{4}{1~hr}\implies \cfrac{5\cdot 4~miles}{2\cdot 1~hr}\implies \cfrac{20~miles}{2~hr}\\\\\\ 10\frac{miles}{hr}[/tex]

Related Questions

Which of the following is a factor of x^3-4x^2-18x+9

Answers

(x-2)(x^2-7x+3) most likely

Hello,

[tex]x^3-4x^2-18x+9\\ =x^3+3x^2-7x^2-21x+3x+9\\ =x^2(x+3)-7x(x+3)+3(x+3)\\ =(x+3)(x^2-7x+3)\\ =(x+3)(x- \frac{7- \sqrt{37}}{2} )(x- \frac{7+ \sqrt{37}}{2} )[/tex]

You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?

Answers

Here, you want to find the GCF, or the greatest common factor.

Simplest way to do this is by listing out all the factors.

30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42

So the greatest number that they share is 6.

So there would be 6 picnic baskets. (With 5 sandwiches and 7 cookies in each)
the answer would be 6 baskets with 7 cookies and 5 sandwiches in each basket

Lana earned $49on friday $42 on saturday,and $21 on sunday selling bracelets she sold each bracelet for the same amount what is the most she could have charged for eac bracelet?

Answers

$7 because all you have to do is find the greatest common denominator. Which is 7. 7 is the greatest common denominator in the bunch. 7 goes into 21, 42, 49.
Answer:

The most amount she could have charged for each bracelet is:

                            $ 7

Step-by-step explanation:

It is given that:

Lana earned $49 on Friday $42 on Saturday,and $21 on Sunday selling bracelets.

Also, she sold each bracelet for the same price.

This means that if the maximum cost of each bracelet will be the greatest common divisor i.e. G.C.D. of the amount she earned each day.

which is G.C.D(49,42,21)=7

Hence, the answer is: $ 7

what is critique reasoning

Answers

Critique reasoning involves systematically evaluating arguments, identifying assumptions, assessing evidence, and providing reasoned judgments.

Critical reasoning involves analyzing arguments or claims in a systematic and logical manner to evaluate their validity, soundness, and coherence. It entails examining evidence, identifying assumptions, assessing logical consistency, and recognizing fallacies.

Critique reasoning goes beyond merely accepting or rejecting a statement; it involves providing reasoned and well-supported judgments or critiques based on evidence and logical analysis. It helps individuals develop a deeper understanding of complex issues, make informed decisions, and construct persuasive arguments.

Critique reasoning fosters intellectual independence and the ability to engage critically with diverse perspectives and ideas.

A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.

Answers

check the picture below.

[tex]\bf A=\cfrac{h(a+b)}{2}\quad \begin{cases} A=20\\ a=6z-1\\ b=2z+3\\ h=z \end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2} \\\\\\ 20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1) \\\\\\ 20=4z^2+z\implies 0=4z^2+z-20[/tex]

[tex]\bf \qquad \qquad \textit{quadratic formula}\\\\ \begin{array}{llccll} 0=&{{ 4}}z^2&{{ +1}}x&{{ -20}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \qquad \qquad z= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}} \\\\\\ z=\cfrac{-1\pm\sqrt{1+320}}{8}\implies z=\cfrac{-1\pm\sqrt{321}}{8}\implies z\approx \begin{cases} \boxed{2.1146}\\ -2.3646 \end{cases}[/tex]

since the height is just a length unit, it can't be -2.3646.

Answer:

2.11 cm

Step-by-step explanation:

As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:

A = [tex]\frac{(B+b)*h}{2}[/tex]

where B is the Largest parallel side, b the smallest parallel side and h is the height.

Now,

20 =  [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]

20 =  [tex]\frac{(8z^{2}+2z}{2}[/tex]

20 = [tex]4z^{2}+z[/tex]

[tex]4z^{2}+z-20=0[/tex]

Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.

z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-17.91}{8}[/tex]

As we are searching lenght we choose the positive z value

z =  [tex]\frac{-1+17.91}{8}[/tex]

z=  [tex]\frac{16.91}{8}[/tex]

z =  2.11 cm.

Select all that apply. (xyz)2 = _____ The expression without exponents is?

Answers

(xyz)² = x.x.y.y.z.z. This is this expression without exponents

is the number /2500 rational or irrational? explain

Answers

2500 is rational, because it can be turned into a fraction. A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. While a irrational number can be written as a decimal, but not as a fraction, and has endless non-repeating digits to the right of the decimal point.
Ex of rational: The number 8 is a rational number because it can be written as the fraction 8/1.
Ex of irrational: π = 3.141592…
Hoped it helped! :)

Answer:

Rational

Step-by-step explanation:

If you ask about number "2500" then it is rational since 2500 can be changed in the form of p/q, where q ≠ 0. Like, 2500, 5000/2 or so on.

and if you ask about "[tex]\frac{number}{2500}[/tex]" then it is also rational  and it is terminating rational number because denominator (2500) can be converted in [tex]2^{m} *5^{n}[/tex].

Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 * 24 * 365 24 * 60 * 100 * 7 * 52 1000 * 60 * 24 * 7 * 52?

Answers

Use the following abbreviations:
y = year,
d = day,
h = hour,
min = minute,
s = second,
ms = millisecond.

Then
[tex]1 \, y = (1 \, y)*(365 \, \frac{d}{y} )*(24 \, \frac{h}{d} )*(60 \, \frac{min}{h} )*(60 \, \frac{s}{min} )*(1000 \, \frac{ms}{s} )[/tex]

Therefore, the correct calculation is
1000 * 60 * 60 * 24 * 365

Answer: 1000 * 60 * 60 * 24 * 365

Final answer:

To find the number of milliseconds in a year, multiply the number of milliseconds in a day by the number of days in a year: 86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year.

Explanation:

To find the number of milliseconds in a year, we need to multiply the number of milliseconds in a day by the number of days in a year. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day. And since there are 365 days in a year, we can calculate the number of milliseconds in a year as:

86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year

twelve times the sum of a number and 2 is equal to 36. what is the number

Answers

12(x+2)=36
12x+24=36
12x=12
x=1
12(x+2)=36
12x+24=36
-24. -24
12x=12
/12. /12
x=1

Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has probability 0.6 of coming up heads. if the coin flipped today comes up heads, then we select coin 1 to flip tomorrow, and it if comes up tails, then we select coin 2 to flip tomorrow. if the coin initially flipped is equally likely to be coin 1 or coin 2. what is the probability that the coin flipped after four transitions is coin

Answers

Answer:

C. 3/8

Step-by-step explanation:

Which of the following is not considered one of the four basic types of auto insurance? a. Collision b. Bodily Injury c. Property Damage d. Legal Responsibility

Answers

Answer:

d. Legal Responsibility

Step-by-step explanation:

When purchasing auto insurance, "full coverage" insurance will include:

Collision coverage;

Bodily Injury coverage;

Property damage coverage;

and Comprehensive coverage.

Legal Responsibility is not one of these major types.

Legal Responsibility is not considered as the component of auto insurance because auto insurance only consists of collision, bodily injury, medical payment or personal injury protection and property damage liability. Therefore option (d) is correct.

Further Explanation:

Auto Insurance: It is a contract between two parties of which is the insurer, and the other one is insured. An insurer is a person who agrees to pay the insured in any unforeseen circumstances like accidents, thefts, property damage, etc. In case of auto insurance, the insurance company takes the responsibility of all the damages which are done to the holder of the auto or the auto, but it does not take the responsibility of any legal damage to the insured.

Learn more:

1.   Learn more about health care insurance

https://brainly.com/question/7325538

2.      Learn more about the insurance rules

https://brainly.com/question/6075135

3.      Learn more about the insurance cover

https://brainly.com/question/1362335

Answer details:

Grade: Senior School

Subject: Business Studies

Chapter: Insurance

Keywords: Insurance, collision, bodily injury, insurance claims, legal responsibility, property damage, types of auto insurance, auto insurance, the insurance company, responsibility, damages, holder of the auto, legal damage to the insured, basic type of auto insurance, contract, between two parties, insurer, who agrees to pay, the insured.


The campsite shop sells boxes of Funshine Cereal.

The base of each box is a 180 mm x 60 mm rectangle.

The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle.
Work out the maximum number of boxes that will fit on the shelf.

Answers

there are 10 mm in 1 cm, so 180 mm is really just 18cm and 60 mm is just 6cm.

so how much area each box's base takes up?   18x6 centimeters, or 108cm.

the shelf is a 65x35 so is 2275 centimeters in available area.

how many times does 108 go into 2275?  well, 2275/108, that many would fit in the shelf

Answer:D 3,888

Step-by-step explanation:

Based on the empirical rule, what percent of the observations will lie between plus or minus two standard deviations from the mean

Answers

Empirical rule for asymmetrical, chime formed recurrence conveyance, around 68% of the perceptions will exist in addition to and short one standard deviation of the mean; around 95% of the perceptions will exist in addition to and less two standard deviations of the mean; and for all intents and purposes every one of the (99.7%) will exist in addition to and less three standard deviations of the mean.

Find all real zeros of the function y=-9x-1

Answers

For zeros of the function (y is the function, a function of x) we need y = 0 so that in turn means we need - 9x - 1 = 0 or - 9x = 1 (i.e. add 1 to both sides); now divide by - 9, and x = 1/-9 which is exactly the same as - 1/9 or - (1/9) and this is the only zero of the function.

or   

If y = -9x - 1, 

When y = 0 
0 = -9x - 1 
0 + 1 = -9x - 1 + 1 
1 = -9x 
1/9 = -9x/9 
1/9 = -x 
1/[9 X (-1)] = -x/-1 
- (1/9) = x 

When x = 0 
y = (-9 X 0) - 1 
y = 0 - 1 
y = - 1

Answer:

B.- 1/9

Step-by-step explanation:

You use your mobile phone to phone home every day. It costs $15 per month and 18c per minute for phone calls. 

How much will you have to pay for 420 minutes of calls including the monthly charge?

Answers

420 x 18c= 75.60
+15.00
=90.60

In your own words, explain the place value relationship when the same two digits are next to each other in a multi digit number.

Answers

i would help if i was smart.

a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (-7, blank) lies on this circle

Answers

It's important that you share the complete question.  What is your goal here?  Double check to ensure that you have copied the entire problem correctly.

The general equation of a circle is x^2 + y^2 = r^2.  Here we know that the circle passes thru two points:  (-3,2) and (1,5).  Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.


Subst. the known values (of the first point) into this equation:  (-3)^2 + (2)^2 = r^2.  Then 9 + 4 = 13 = r^2.

Let's check this.  Assuming that the equation of this specific circle is 
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.

(1)^2 + (5)^2 = 13 is not true, unfortunately.

(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).

Check the original problem.  If it's different from that which you have shared, share the correct version and come back here for further help.



18+27 write the sum of the numbers as the product of their GCF and another sum

Answers

ghhfbdnxndnxnxnxxnxnxnbxbzbzbbxbx

which is the value that will make -7x<102

Answers

-7x < 102

First step is to divide both sides by -7. Because we are dividing by a negative number, we have to flip the signs.

-7x < 102
x > -102/7

The only one of your answer choices that is greater than -102/7 is A. 20.

Hope this helped!
The correct answer us 20. Option A.

3-i/1+i please answer in a +bi form

Answers

now... let's multiply the denominator and numerator by the conjugate of the denominator as already suggested, which is just the same, but with a different sign in the middle, 1 - i.


[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b) \\\\\\ \textit{also recall that }\qquad i^2=(\sqrt{-1})(\sqrt{-1})\implies i^2=-1\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{3-i}{1+i}\cdot \cfrac{1-i}{1-i}\implies \cfrac{(3-i)(1-i)}{(1+i)(1-i)}\implies \cfrac{(3-i)(1-i)}{(1^2)-(i^2)} \\\\\\ \cfrac{3-3i-i+i^2}{1^2-(-1)}\implies \cfrac{3-3i-i+(-1)}{1+1}\implies \cfrac{3-1-3i-i}{2} \\\\\\ \cfrac{2-4i}{2}\implies \cfrac{\underline{2}(1-2i)}{\underline{2}}\implies 1-2i[/tex]

The large rectangle's dimension are three times the dimensions of the small rectangle.

Answers

The dimensions of the larger rectangle will be three times the dimensions of the smaller rectangle.

Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 6. Instead, she subtracted 6 and then divided the result by 3, giving an answer of 35. What would her answer have been is she had worked the problem correctly?

Answers

she subtracted 6 from a certain number and then divided the result by 3, giving her 35.

(x - 6) / 3 = 35
x - 6 = 35*3
x - 6 = 105
x = 105 + 6
x = 111

so she should have subtracted 3, then divided by 6
(111 - 3) / 6 = 108/6 = 18 <===
Taking the answer 35 multiplying it by 3 and adding 6 would give the original number chosen.
(35 × 3) - 6 = 111
Original number chosen is 111.
Now perform the correct operations.
111 - 3 = 108
108 ÷ 6 = 18
The correct answer is 18

Hope it helped!

Find all real solutions
2x² + 4x + 1 = 0

Answers

This quadratic polynomial is unable to be factored, so we'll need to use the quadratic formula:
[tex]x=\frac{-b\pm \sqrt{(b^{2})-4ac}}{2a}[/tex]

Here a=2, b=4, c=1 so:
[tex]x=\frac{-4\pm \sqrt{(4^{2})-4*2*1}}{2*2}[/tex]

If you need help from there, let me know.

Segment MN has endpoints at M(2,5) and N(-4,3). What is the midpoint of the segment?

Answers

Final answer:

To find the midpoint of segment MN, we can use the midpoint formula which states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints. Using this formula, we find that the midpoint of segment MN is (-1, 4).

Explanation:

To find the midpoint of the segment MN, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Let's calculate the x-coordinate of the midpoint:

x-coordinate = (x1 + x2) / 2 = (2 + (-4)) / 2 = -2 / 2 = -1.

Now, let's calculate the y-coordinate of the midpoint:

y-coordinate = (y1 + y2) / 2 = (5 + 3) / 2 = 8 / 2 = 4.

Therefore, the midpoint of segment MN is (-1, 4).

Final answer:

The midpoint of the segment MN with endpoints M(2,5) and N(-4,3) is (-1, 4).

Explanation:

To find the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

For segment MN with endpoints M(2,5) and N(-4,3), we can calculate the x-coordinate of the midpoint by averaging the x-coordinates:

(2 + (-4)) / 2 = -1

And we can calculate the y-coordinate of the midpoint by averaging the y-coordinates:

(5 + 3) / 2 = 4

Therefore, the midpoint of segment MN is (-1, 4).

Please show the steps in solving B=5/7(F-38) solve for F

Answers

here's the answer for your problem

What is 8.478 in expanded form

Answers

8 ones 4 tenths 7 hundredths and 8 thousandths

A passenger plane left Rome and flew toward Jakarta. one hour later a cargo plane left flying 26 km/h faster in an effort to catch up to it. After 11 hours the cargo plane finally caught up. find the passenger plane's average speed.

Answers

The first plane would be going about 23.83 km/h

what is the height of a box with a volume of 50 cubic meters, length of 10 meters, and which of 2 meters

Answers

h = v over l (w)
so 50 divided by 20
= 2.5
the answer is 2.5 alright

Find the additive inverse of each number. 1. 15 2. – 27 3. 7 9 4. 9 16  5. 0 6. – 1

Answers

The additive inverse of a number is otherwise known as its opposite.

The additive inverse of 15 is -15.
The additive inverse of -27 is 27.
The additive inverse of 0 is 0 itself!

a + (-a) = 0
A number plus its additive inverse equals zero!

the shortest adult women is 24 inches tall. the tallest adult women is 92 inches tall. write and absolute value equation to represent the minimum and maximum heights

Answers

The general equation of an absolute value equation is: |x - μ|, where μ is the mean and x is a single data point. The data points given are 24 and 92.

μ = (24 + 92)/2 = 58

Let's solve for |x - μ|:
|24 - 58| = 34
|92 - 58| = 34

Therefore, the absolute value equation is:
|x - 58| = 34
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