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Ksenya-84 [330]
3 years ago
11

The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.

Mathematics
2 answers:
Vitek1552 [10]3 years ago
8 0

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11 
Anon25 [30]3 years ago
7 0
Da numbers are x and y

lets say x>y
differebec between x and y is 4
x-y=4


3 times the larger is 2 more than 5 times the smaller
3 times x is 2 more than 5 times y
3x=2+5y

ok so we gots
x-y=4 and
3x=2+5y

hmm
in the first one we can solve for x and subsitute
x-y=4
add y to both sides
x=y+4
subsitute y+4 for x

3x=2+5y
3(y+4)=2+5y
distribute
3y+12=2+5y
minus 3y both sides
12=2+2y
minus 2 both sides
10=2y
divide 2 both sides
5=y

subsitute back

x=y+4
x=5+4
x=9

the numbers are 9 and 5
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madreJ [45]

Answer:

A. -5

Step-by-step explanation:

-9 + 4 = -5

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7 0
3 years ago
What is the scale factor (k) of the dilation if C is (-6,9) and C' is (-2,3)?
bekas [8.4K]

Answer:

Step-by-step explanation:

Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k

For the x coordinates:

C' = kC

x' = kx

-2 = k(-6)

-2 = -6k

Divide both sides by -6

k = -2/-6

k = 1/3

For the y-coordinates:

y' = ky

3 = 9k

Divide both sides by 9:

3/9 = 9k/9

1/3 = k

k = 1/3

Hence the scale factor of the dilation is 1/3

4 0
3 years ago
Read 2 more answers
Help me please and thank you !
serg [7]
The answer is C. Why? Well, see below!

A would be incorrect because the problem is asking what the area of the stamp would be. In order to find area, we multiply length and width by each other. The given equation we initially had shows division, and would therefore be incorrect. B would be incorrect because although the equation has the correct evaluation symbol, the formula for identifying length would be L = A / W, which means length equals area divided by width. Because the area is 1/4 in this problem, the expression used for evaluation would be 1/4 divided by 1/5. D is incorrect because, like B, the evaluation expression would be 1/4 divided by 1/5.

Your final answer: Because C is the only problem that gives us a corresponding expression to the initial expression, C is the correct answer. If you need extra help, let me know and I will gladly assist you.
7 0
2 years ago
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In 1990, the population of Math Valley was 15,000. If the population is increasing at an annual rate of 2.4%, what was the popul
Marizza181 [45]

if this helped you say meow

i may be wrong but i think you should divide 2.4% by the 15000 wicth  is

0.00000016 or just 0.16 or maybe  muptication 2.4% x15000 whicth is 360 hope this helps :D

7 0
2 years ago
Simplify -4x^3 x 2y^-2 x 5y^5 x x^-8
n200080 [17]
-4x^3\cdot \:2y^{-2}\cdot \:5y^5x^{-8} 

=2\cdot \:4\cdot \:5\cdot \dfrac{1}{y^2}x^{-8}x^3y^5 

=2\cdot \:4\cdot \:5\cdot \dfrac{1}{x^8}\cdot \frac{1}{y^2}x^3y^5 

=-\dfrac{1\cdot \:1\cdot \:4x^3\cdot \:2\cdot \:5y^5}{y^2x^8} 

=-\dfrac{2\cdot \:4\cdot \:5x^3y^5}{x^8y^2} 

=-\dfrac{40x^3y^5}{x^8y^2} 

=\dfrac{40y^5}{x^5y^2} 

=-\dfrac{40y^3}{x^5} 
8 0
3 years ago
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