The numbers are 3 and 18
Step-by-step explanation:
- Step 1: Let one number be x. Then the other number = 6x.
Also, 6x = 12 + 2x
⇒ 4x = 12
⇒ x = 3
⇒ 6x = 18
Answer:
Step-by-step explanation:
↔Start of with your 'solution section' to make sure you have the right things↔
↔Solution 1 ➡ 4(x) + 9(y) = 16
↔Solution 2 ➡ 6(x) - 9(y) = 8
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▪Looking for the value of the 'x'-intercept ⬇▪
◾4 (3) (y) / 2 + 4/ 3 + 9(y) = 16
◾15(y) = 32 / 3
◾ 45(y) = 32
▪x-intercept: 32
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◾Looking for value of the 'y'-intercept ◾
◾45(y) = 32
◾y-intercept : 45
◾x = 3(y)/2+4/3 which is translated to this, am i correct? ➡ (y) = 32/45
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↪ Now, we have finally found both of their intercept ⬇
↪x-intercept: 12
↪y-intercept: 5
↪Or you can even say the intercepts in other words. Here's what I am talking about if in case you don't know what I am saying
↪x-intercept: 32✅
↪y-intercept✅
Well -5/8 as a decimal would be -0.625.
So, the order would be -0.615 -0.62(0) and then -5/8 (or -0.625).
You could easily search up 5/8 as a decimal :)
The amount of balls in a given layer can be found by squaring the layer it is in
4 layers
top layer (1st) is 1
2nd is 4
3rd layer is 9
4th is 16
add them up
1+4+9+16=30
30 in that pyramid
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
