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
Makovka662 [10]
2 years ago
8

Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's uni

t rate? What is the rate unit?
Mathematics
1 answer:
valentinak56 [21]2 years ago
7 0

Answer:

4.16

Step-by-step explanation:

50/12

You might be interested in
the ratio of goats to sheep at a university research farm is 4: 7. The number of sheep at the arm is 28. what is the number of g
GalinKa [24]
4+7=11 i.e. The whole.
7/11=28

1/11=4
Goats are 4/11 therefore
4 x 4= Ans
All the animals add up to 44 and if you check w/ 7/11 it is correct.
4 0
3 years ago
Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
If there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Arisa [49]

Answer:

i think its 70 percent maybe

3 0
2 years ago
Read 2 more answers
Simplify (9 + 8 – 6)(4 – 5)<br><br> Please show your work.<br><br> Thanks for your time!
IrinaK [193]

Answer:

-11

Step-by-step explanation:

(9+8-6)(4-5)

(17-6)(-1)

(11)(-1)

-11

8 0
3 years ago
Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day. Estimate how many gallons he drank i
Umnica [9.8K]

Answer:

Carol drank 0.5625 gallon of water in one day.

Step-by-step explanation:

Carter drink 15.75 gallons of water in 4 weeks. Each week consists of 7 days, then there are days in for weeks.

So, it is 15.75 divided by 28 (28 days in 4 weeks)

3 0
3 years ago
Read 2 more answers
Other questions:
  • After a deposit of $100, a withdrawal of $125, and a deposit of $24, the balance in a savings account was $27.28. What was the b
    6·1 answer
  • PLEASE HELP ASAP
    13·1 answer
  • A car costs £14000. What would the price be after an 8% discount
    12·1 answer
  • Is the rate of 75/15 and the rate of 70/14 equivalent to each other
    6·1 answer
  • Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
    7·1 answer
  • Please answer answer question
    12·2 answers
  • Please help and explain all the way
    12·1 answer
  • What is the equation of the line that passes through the points (0, 6) and (-3, 0) and is parallel to y = 2x + 5? *
    8·1 answer
  • PLZZ HELP WILL GIVE BRAINLIEST
    5·2 answers
  • Three-quarters the product of two numbers m and n. what is it in algebraic expression
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!