MATHEMATICS MIDDLE SCHOOL

A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.

Answers

Answer 1

Answer:

Answer:

45 feet

Step-by-step explanation:

4 and 1/2 inches

1/2=5 feet

put the mixed number into an improper fraction

9/2 *5= 9*5= 45 feet

Answer 2

Answer:

10 inch

Step-by-step explanation:

5 1/2 + 4 1/2 = 10

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Emma drank 1/4 of a milk shake in 1/12 of a minute. How many minutes will it take to drink the full shake?Mike plays 1/2 of a song in 1/8 of a minute. How many minutes will he need to a full song?

Answers

a) The time for Emma to drink one full shake of milk is given by the equation E = 1/3 of a minute = 20 seconds

b) The time for Mike to play a full song is given by the equation M = 1/4 of a minute = 15 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the time for Emma to drink one full shake of milk be E

Now , the equation will be

The time for Emma to drink 1/4 of a milk = 1/12 of a minute

So , the time for Emma to drink one full shake E = 4 x time for Emma to drink 1/4 of a milk

Substituting the values in the equation , we get

The time for Emma to drink one full shake E = 4 x ( 1/12 )

On simplifying the equation , we get

The time for Emma to drink one full shake E = 4/12

The time for Emma to drink one full shake E = 1/3 of a minute

The time for Emma to drink one full shake E = 20 seconds

Let the time for Mike to play a full song be M

Now , the equation will be

The time for Mike to play 1/2 of a song = 1/8 of a minute

So , the time for Mike to play a full song M = 2 x time for Mike to play 1/2 of a song

Substituting the values in the equation , we get

The time for Mike to play a full song M = 2 x ( 1/8 )

On simplifying the equation , we get

The time for Mike to play a full song M = 2/8

The time for Mike to play a full song M = 1/4 of a minute

The time for Mike to play a full song M = 15 seconds

Hence , the equations are solved

To learn more about equations click :

brainly.com/question/19297665

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1/4*4=1 (The entire shake)

1/12*4=1/3 of a minute

Thee answer to the 1st question is 1/3 of a minute

1/2*2=1 (The entire song)

1/8*2=1/4 of a minute

The answer to the 2nd question is 1/4 of a minute

The school department made $2,142 on ticket sales for 3 nights. Each ticket costs $7. How many tickets did they sell each night?

Answers

they sold 21 tickets each night

Jacob Is Twice as old as Sue. The sum of their ages is 69 years. How old is Jacob?

Answers

$x-Sue\n2x-Jacob\n\nx+2x=69\n\n3x=69\ \ /:3\n\nx=69:3\n\nx=23-Sue\n\n2x=2\cdot23=46-Jacob\n\nAnswer:Jacob\ is\ 46.$

As the value of x increases, which of the following functions would eventually exceed to the other three?1) f(x)=1000x
2) f(x)=100x²
3) f(x)=50x³
2) f(x)=2^x

Answers

$x\ \ \ \ \ \ \ \ |\ \ \ \ \ 0\ \ \ \ |\ \ \ \ \ 1\ \ \ \ \ \ |\ \ \ \ \ 10 \ \ \ \ \ |\ \ \ \ \ \ 100\ \ \ \ \ \ |\n-----------------------\n1000x\ \ |\ \ \ \ 0\ \ \ \ \ |\ \ \ 1000\ \ \ | \ \ \ 10000 \ \ \ |\ \ \ \ 100000\ \ \ \ |\n-----------------------\n100x^2\ \ |\ \ \ \ 0\ \ \ \ \ |\ \ \ \ 100\ \ \ \ | \ \ \ 10000 \ \ \ |\ \ 1000000\ \ \ \ |\n-----------------------\n50x^3\ \ \ |\ \ \ \ 0\ \ \ \ \ |\ \ \ \ \ 50\ \ \ \ \ | \ \ \ 50000 \ \ \ |\ \ 50000000\ \ \ |\n-----------------------$
$2^x\ \ \ \ \ \ |\ \ \ \ 1\ \ \ \ \ |\ \ \ \ \ \ 2\ \ \ \ \ \ | \ \ \ \ 1024 \ \ \ |\ \ \ \ 1024^(10)\ \ \ \ \ |\n$

$if\ x\ \rightarrow\ +\infty\ \ \ then$

$f_1(x)\ <\ f_2(x)\ \ \ and\ \ \ f_1(x)\ <\ f_3(x)\ \ \ and\ \ \ f_1(x)\ <\ f_4(x)\n\nAns.\ f_1(x)\ =1000x$

If the radius of the cone is doubled will its surface area be doubled?

Answers

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Which fraction is greater between 3/8 2/8 312-6512

Answers

Answer:

Step-by-step explanation:

3/8

Final answer:

Among 3/8 and 2/8, the fraction 3/8 is greater because 3 is a larger number than 2. The part '312-6512' doesn't seem relevant to the problem, so it's likely a typo.

Explanation:

To figure out which fraction is greater between 3/8 and 2/8, we need to compare these two numbers. Since they both have the same denominator (the number on the bottom), you can compare them easily by simply looking at the numerator (the number on the top).

Here, 3 is bigger than 2. Thus, 3/8 is the larger fraction compared to 2/8.

The part of the question which says '312-6512' doesn't seem to relate to the problem, thus we ignore it as a typo.