MATHEMATICS HIGH SCHOOL

Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other number. What are the numbers

Answers

Answer 1

Answer:

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

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Angle Q measures 30 degrees. If angle Q is rotated 15 degrees, what is the measure of angle Q'?

Answers

The measure of angle Q' is 45°.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

∠Q = 30°

∠Q is rotated 15°

This means,

∠Q = 30 + 15 = 45°

Thus,

The measure of angle Q' is 45°.

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30°
an angle has the same measurement no matter what direction you rotate it

Find the ratio of 300ml to 6l

Answers

1:20 because 1=1000ml
6x1000ml=6000
300/6000=20
So the final answer is 1:20

Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the number of weeks and the total number of copies of the newsletters printed. What is true of the graph of this scenario

Answers

A viable point on the graph is ( 8, 3200 )

The values of w must be... Any WHOLE number.

C=400w can be written as y=400x. This is the equation of a line with slope 400 and y-intercept of 0.
The slope of positive 400 represents the number of copies printed each week. Since the slope is positive, the number of copies increases each week.

Where do I start because there are two pairs of parentheses but I think I state with division right?

Answers

You just do the inside of the parenthesis at the same time and then insert them into the equation. It doesn't matter which you do first, as long as they end up solved

Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden.

Answers

To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2

Answer:

Step-by-step explanation:

got it right on a quiz.

What is 3- 6/7 as an improper fraction ?? please help

Answers

the improper fraction is 27/7

To convert the mixed number 3 6/7 to an improper fraction, we need to combine the whole number part with the fractional part.

First, multiply the whole number (3) by the denominator (7), which gives us 21. Then, add the numerator (6) to get 27.

Next, write the sum (27) as the numerator and keep the denominator (7) the same. The resulting improper fraction is 27/7.

This means that there are 27 parts (numerator) out of 7 equal parts (denominator). The improper fraction emphasizes the total number of parts beyond a whole number.

Converting the mixed number 3 6/7 to the improper fraction 27/7 allows for easier mathematical operations and comparisons with other fractions.

Therefore, the improper fraction is 27/7

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Answer:

27/7

you have to times the denominator and the whole number then add the numerator

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