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bezimeni [28]
3 years ago
6

3 roads, a, b, and

Mathematics
1 answer:
maw [93]3 years ago
7 0
3 roads...a, b and c

b = 3a.....a = 1/3b
c = 2b.....b = 1/2c.....

a ------|
b ------|--------|------|
c ------|--------|------|------|------|------|

so a is 1/6 of the total road <===

if road b is 7 miles longer the a...
b = 3a....b = a + 7
a + 7 = 3a
7 = 3a - a
7 = 2a
7/2 = a
3.5 = a

b = 3a
b = 3(3.5)
b = 10.5

c = 2b
c = 2(10.5)
c = 21 <=====road C is 21
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If X and Y are distinct digits such that the eight-digit number 7448X24Y is divisible by both 8 and 9, then find X - Y.
Talja [164]

The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

<h3>How to determine the distinct digits X and Y?</h3>

The eight-digit number is given as:

7448X24Y

Also, from the question

The number is divisible by 8 and 9

When a number is divisible by 8, then the last three digits of that number would be divisible by 8.

When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.

So, we have:

24Y is divisible by 8

The possible value of Y from the above statement is 0

This is so because 240 is divisible by 8

The sum of the digits of the number would be divisible by 9.

This means that:

7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y

Substitute 0 for Y

29 + X + Y = 29 + X + 0

Evaluate the sum

29 + X + Y = 29 + X

36 is divided by 9

So, we have

29 + X = 36

Subtract 29 from both sides of the equation

X = 7

So, we have

X = 7 and Y = 0

X - Y is calculated as:

X - Y = 7 - 0

Evaluate the difference in the above equation

X - Y = 7

Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

Read more about digits at:

brainly.com/question/26856218

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7 0
2 years ago
What is the equation of a line with a slope of ​ 1/2 ​ and a point (3, 1) on the line?
miv72 [106K]
Y = mx + b

y = m1/2 +1
3 0
3 years ago
Read 2 more answers
Help me graph it please
VikaD [51]
Here's a rough graph haha
the graph has a factor of 4/1 (considered the "slope"), and the vertex is translated 2 units to the right (whatever is in the | lines | has the negative/positive flipped), and 6 units down.

8 0
3 years ago
-3 raised to the power 0=
son4ous [18]

Given:

The statement is "-3 raised to the power 0".

To find:

The value of the given expression.

Solution:

We know that a raised to the power b can be written as a^b.

Any non zero number raised to the power 0 is always 1. It means,

a^0=1, where a\neq 0.

-3 raised to the power 0 =(-3)^0

                                         =1

Therefore, the value of the given statement is 1.

3 0
3 years ago
Simplify the expression. write your answer in scientific notation<br> (9.6x10^3) x (6.7x10^2)
slavikrds [6]
(9.6 x 10^3) (6.7 x 10^2)
(9,600) (670)
6,432,000
6.432 x 10^6

Answer:
6.432 x 10^6
4 0
3 years ago
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