MATHEMATICS MIDDLE SCHOOL

I know that 300÷30=10 because the 3 in 300 represents what times what it represents in what.

Answers

Answer 1
Answer: 3 in 300 represents 3 times 100. it represents 300
Answer 2
Answer: 3 represents the 3 times in 100

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A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades?

Answers

The radius is 100 miles . . . so the diameter is 200 miles (100 miles towards the transmitter and 100 miles going away.

At 40mph it takes 5 hours to drive 200 miles, therefore you could listen to the station for 5 hours.

You can listen to the station for 5 hours before the signal fades

Further explanation

Acceleration is rate of change of velocity.

\large {\boxed {a = (v - u)/(t) } }

\large {\boxed {d = (v + u)/(2)~t } }

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

Given:

Radius of Signal = R = 100 miles

Speed of Car = v = 40 miles/hour

Unknown:

Time Taken = t = ?

Solution:

\texttt{Time Taken} = \texttt{Distance} / \texttt{Speed of Car}

\texttt{Time Taken} = \texttt{Diameter of Signal} / \texttt{Speed of Car}

\texttt{Time Taken} = \texttt{2 x Radius of Signal} / \texttt{Speed of Car}

\texttt{Time Taken} = 2 * 100 / \texttt{40}

\texttt{Time Taken} = 200 / 40

\texttt{Time Taken} = 5 \texttt{ hours}

Learn more

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Signal , Radio , Station , Fade , Nonstop

The function A(b) relates the area of a trapezoid with a given height of 12 andone base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(b) = 12.579
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the othef base?

Answers

Answer:

B(a)=(a)/(6)-9

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

A(b)=12((b+9)/(2))

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

A=6(b+9)

Divide by 6 both sides

(A)/(6)=b+9

subtract 9 both sides

(A)/(6)-9=b

Rewrite

b=(A)/(6)-9

Convert to function notation

B(a)=(a)/(6)-9

Please tell me the answer.

Answers

x = 30



3x-5=x+55

2x=60

x=30

a baker made 5 pounds of icing. he used 4/9 of icing to decorate cakes. how much of the icing is left over?

Answers

5/9\ is\ left\ over\ or\ 2.7\ pounds\ are\ left.
the answer is 45 over 4  which is 11 1/4 i hope that this has helped you!

Circle the number that makes each equation true.

Answers

For the first one, the answer is -51

I'm sorry, but I don't know the answer for the second one. Either way, I hope this helped you.

a stack of quarters is 5 mm. how many quarters are in a stack that is 5 cm tall? show the steps you took and explain your answer

Answers

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