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3 years ago

When two fraction refer to the same whole and have the same denominators , explain why you can compare only the numerators

1 answer:

8 0

Because two fractions are equal fractions when they represent the same part of a whole. if denominators are different you need to first equal the denominator then further proceed to solve

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Seventeen concert tickets were sold for $550. Each adult ticket costs $9 and each children's ticket costs $5 find the number of

Dennis_Churaev [7]

Answer:

The number of adult's ticket is 50.

The number of children's ticket is 20.

Step-by-step explanation:

Given that, seventy ticket were sold for $550.

Let the number of adult's ticket be x.

Then the number of children's tickets is = (70-x)

Each adult ticket cost $9.

Then the cost of x number of adult's ticket is = $9x

Each children's ticket cost $5

Then the cost of (17-x) number of children's ticket is=$5(70-x)

=$(350-5x)

According to the problem,

$9x+(350-5x)=550$

$\Rightarrow 4x+350=550$

$\Rightarrow 4x=550-350$

$\Rightarrow 4x=200$

$\Rightarrow x=\frac{200}{4}$

$\Rightarrow x=50$

The number of adult's ticket is 50.

The number of children's ticket is (70-50)=20

5 0

4 years ago

7 less than the number t

emmasim [6.3K]

<span>7 less than the number t:

</span>7 < t
or
t > 7

5 0

3 years ago

Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles awa

borishaifa [10]

Answer:12-9=3

Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9

7 0

3 years ago

A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

$D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}$

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

$D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)$

Now putting t:

$D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75$

Thus, the instantaneous rate would be around 21.75 cm/s

8 0

3 years ago

What is the value of x

iren [92.7K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers