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alexandr1967 [171]
2 years ago
5

Daniel and Morgan both live 129 miles away from the beach. It took Daniel 189 minutes less than two times the time it took Morga

n to reach the beach. Morgan drove at 36 mph. How long did it take Daniel to arrive at the beach?
Mathematics
1 answer:
sattari [20]2 years ago
4 0
Since Morgan drove 36mph to cover 129 miles he took 129miles/36mph = 3.583 hours to reach the beach. 3.583 hours can be converted into 215 minutes. Daniel thus took : (2(215))-189 = 241 minutes to arrive.
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You are running a concession stand at a basketball game. You are selling hot
Nuetrik [128]

x= hot dogs

y= soda

Total sold

1 x + 1 y = 87 .............1

2 x 0.50 y = 78.50 .............2

Eliminate y

multiply (1)by -0.50

Multiply (2) by 1.00

-0.50 x -0.50 y = -43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 -35

y = 52

y = 52.00

x= 35 hot dogs

y= 52 soda

7 0
3 years ago
Find the center and radius of the with the equation (x + 5) ^ 2 + (y - 2) ^ 2 = 25
iVinArrow [24]

Answer: Center: (5,0)

Radius:5

Step-by-step explanation: Happy to help :)

8 0
3 years ago
A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the
ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

\displaystyle h = 29.4t - 4.9 {t}^{2}

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

\displaystyle \rm t= \frac{ - b}{  2a}

\displaystyle H_{\text{max}}=f(t)

notice that, our given function is not in standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

let's make it so

\displaystyle h =  - 4.9 {t}^{2}  + 29.4t

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

\displaystyle\rm t=  \frac{ -( 29.4)}{  2 \cdot - 4.9}

remove parentheses and change its sign:

\displaystyle\rm t=  \frac{ -29.4}{  2 \cdot - 4.9}

simplify multiplication:

\displaystyle\rm t=  \frac{ -29.4}{  - 9.8}

simplify division:

\displaystyle  \: t  = 3

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2

simplify square:

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9

simplify mutilation:

\displaystyle H_{\text{max}}=88.2-44.1

simplify substraction:

\displaystyle H_{\text{max}}=44.1

hence,

the maximum height of the baseball is 44.1 metres

4 0
3 years ago
Read 2 more answers
A ski area has a high-speed lift that can move 2,400 skiers to the top of the mountain each hour. Write an expression describing
mihalych1998 [28]

Answer:

2,400h

Step-by-step explanation:

You multiply the amount of skiers per hour (2,400) by the amount of hours (h).

7 0
2 years ago
A town's population went from 25,800 to 42,600 in 15 years. What was the percent of changes?
melomori [17]
42,600 - 25,800 = 16800. That is the increase in 15 years.

You then calculate the increase as a percentage of the original population; 25,800.

16,800 / 25,800 * 100 = 65.11%
8 0
3 years ago
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