1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jek_recluse [69]
2 years ago
8

Find the unit rate. 5/8 mile in 1/4 hour

Mathematics
1 answer:
erik [133]2 years ago
5 0
Answer

The unit rate in miles per hour is 2.5 mph.

Step-by-step explanation:

1/4 x 4 = 1 hour
5/8 x 4 = miles that would have been covered in one hour
20/8 of a mile would have been covered in one hour
20/8 = 2.5
2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.
You might be interested in
each year the gardners plant 7/8 of an acre with tomatoes. They sell half of what they grow at a roadside stand. What part of an
Yakvenalex [24]
\frac78\ \cdot\ \frac12=\frac{7}{16}


8 0
3 years ago
Read 2 more answers
Y = −4x + 3 <br> Graphing equations in slope-intercept form
jok3333 [9.3K]
Y=-4x+3 is already in slope intercept form. Graphed it looks like this

4 0
2 years ago
Find the volume of a rectangular prism that has a length of 14 yards, a width of 5 yards and a height of 8 yards.
Sedaia [141]
Multiply all three numbers to get 560 yards cubed :))
7 0
3 years ago
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
2 years ago
in the previous problem , ken predicted a drop in temperature . Explain why a drop in temperature would lead to adding a negativ
Rufina [12.5K]

Answer:

ejdencrejnoqnf3enrn3nf god is greatttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Each year a store decreased the price of certain model of TV by $35.If the price in 2001 was $1,950,what was the price in 2009?
    9·1 answer
  • Compounds are different than elements because compounds are-
    10·1 answer
  • Which is table shows a proportional relationship?????????????????? ??????????? ??????????? ??????????? ??????????? ??????????? ?
    12·2 answers
  • HELP ASAP SOS!!! <br> QUESTION : write a 4 step proof that triangle ABD is congruent to ABD
    8·1 answer
  • In the diagram below angle AED=(4n-20)° and angle BEC=(2n-16)°. What is the measure of angle CED in degrees
    9·1 answer
  • If 10 custom engraved pens cost $100 how much will 8 of the same pens cost?
    6·2 answers
  • How much would 1 case of each fruit cost together? Grid in tori answer as dollars.cents
    11·1 answer
  • Need asap‼️
    6·1 answer
  • Please help me with this IXL! Thanks
    13·1 answer
  • Angle ABC has point E on ray BA and point D on ray BC. Points E and D are equidistant from point B. To copy angle ABC, which of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!