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pishuonlain [190]
3 years ago
5

Alfred made 21 goals in 3.5 minutes. What is the unit rate?

Mathematics
2 answers:
IRISSAK [1]3 years ago
6 0
6
21 divided by 3.1 is 6
nekit [7.7K]3 years ago
5 0
21 to 3.5
goals to minutes
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A golfer hits a ball from a starting elevation of 2 feet with a velocity of 70 feet per second down to a green with an elevation
ikadub [295]

Answer:

4.50 s

Step-by-step explanation:

The motion of the ball is represented by the following equation:

h(t) = 2+70t-16t^2 (1)

where

h(t) is the elevation at time t

2 ft is the initial elevation at t = 0

+70 ft/s is the initial vertical velocity

-32 ft/s^2 is the acceleration due to gravity

The green is located at an elevation of -7 feet, so the ball lands on the green when

h(t) = -7

Substituting into (1)

-7=2+70t-16t^2

And re-arranging we get

16t^2-70t-9=0

This is a second-order equation in the form

at^2+bt+c=0

which has solutions

t_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} (2)

Here we have:

a = 16

b = -70

c = -9

Substituting into (2) we find the solutions:

t_{1,2}=\frac{70\pm \sqrt{(-70)^2-4(16)(-9)}}{2(16)}

The two solutions are:

t = 4.50 s

t = -0.125 s

The second solution is negative, and since negative time has no physical meaning, the only correct solution is

t = 4.50 s

5 0
2 years ago
Dwayne wrote a two-digit number. He multiplied it by 3, added 18, and divided by 8. His final answer was 9. What number did Duwa
Karolina [17]
Question 1:
(x*3)+18/8=9    is the equation
(x*3)+18=72     multiply by 8
(x*3)=54           Subtract 18
x=18                 Divide by 3

The two digit number is 18

Question 2:
x*4=43             Divide by 4
x=10.75           10 3/4
10 3/4+3 3/4     Solve
14 1/2

Pablo is 14 1/2 years old
8 0
3 years ago
Can you help me in this question
Andre45 [30]

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The elements are 1, 4, {4}, {9}. That is, any subset that includes 1 must include it without braces. Any subset that includes 9 must include it with braces.

  {4, {9}, 1} is a subset of A

6 0
3 years ago
If one postage stamp costs $0.85, how<br> much does a book of 25 stamps cost?
aniked [119]

Answer: $21.25

Step-by-step explanation:

0.85 x 25

5 0
3 years ago
Read 2 more answers
The sides of a triangle are 3x+ 2, 6x, and 5x. Find the expression to represent the perimeter. To find the perimeter, we ADD the
frosja888 [35]

Answer:

14x + 2

Step-by-step explanation:

Perimeter = sum of the measures of each side

If a triangle has side lengths of 3x+ 2, 6x, and 5x then the perimeter of that triangle is equal to 3x + 2 + 6x + 5x

Notice that the expression 3x + 2 + 6x + 5x has similar terms so to get the simplist version of the perimeter we would simply combine like terms

3x + 6x + 5x = 14x

The perimeter would = 14x + 2

7 0
3 years ago
Read 2 more answers
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