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
zysi [14]
3 years ago
9

PLZ HELP William’s typical running speed is 6 km/h. The difference between his fastest speed and his typical speed is 1.5 km/h.

The equation f-1.5=6 can be used to represent this problem, where f is William’s fastest speed. What is William’s fastest speed?
Mathematics
2 answers:
Jet001 [13]3 years ago
7 0

Answer:

William's fastest speed is 7.5 km/h

Step-by-step explanation:

Let the fastest speed of William is f therefore from the question's statement the equation will be

f - 6 = 1.5

Here difference between William's fastest speed and typical speed is 1.5 km/h

Now we will add 6 on both sides of the equation

(f - 6) + 6 = 1.5 + 6

f = 7.5 km/h

So the fastest speed is 7.5 km/h

yarga [219]3 years ago
4 0
I might not be right but I think William's fastest speed is 7.5 km/h. 
You might be interested in
1. 2x + 2y = 10
liq [111]
Hopefully this helped! I used the substitution method

3 0
2 years ago
What is the end behavior of this function?<br> As X → + then y →<br> As X1-00 then y →
Degger [83]

Answer:

dot

Step-by-step explanation:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese

4 0
3 years ago
The volume of a rectangular prism is 2,058 cm squared 3. The length of the prism is three times the width. The height is 14cm. F
Alborosie

Answer:

length is 21 cm

breadth is 7 cm

3 0
3 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
2 years ago
A line passes through the point (-5, 2) and has a slope of 3.
ELEN [110]

Answer:

y-2=3(x+5)

Step-by-step explanation:

so point slope form is y-y1=m(x-x1)

x1 and y1 are your ordered pair: (-5,2)

M is the slope.

All you have to do is plug in the numbers!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Janelle has a large supply of small cubes, each the same size. How could she use the cubes to measure the volume of a shoebox?
    8·1 answer
  • The total age of a women and her son is 51 years. Three years ago, the women was eight times as old as her son. How old is her s
    11·1 answer
  • In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether they hit 18 home r
    5·2 answers
  • What is the answer to 5x-10
    15·1 answer
  • Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
    8·1 answer
  • David is going to buy a cooker.
    6·1 answer
  • the equation c = 0.75t represents c, the total cost of t tickets on a bus. which table contains values that fit this equation?
    8·1 answer
  • Drag each tile to the correct box.
    9·1 answer
  • ASAPPP! please help, POINTS!!
    14·2 answers
  • Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!