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Viefleur [7K]
3 years ago
14

The sum of three numbers is 123. The third number is 4 times the first. The second number is 9 more than the first. What are the

numbers?
First number:


Second number:


Third number:

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = x + 9

Let the third number = 4x

Together they make 123

x + x + 9 + 4x = 123              combine the left

6x + 9 = 123                         Subtract 9 from both sides

6x = 123 - 9

6x = 114                                 Divide by 6

x = 114/6

x = 19

=================

First number = 19

Second number = 19 + 9 = 28

Third number = 4*19 = 76

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MariettaO [177]

Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.

List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start with 85.

85 is not divisible by 2.

Move on to 3.

85 is not divisible by 3.

Move on to 5.

85/5 = 17

17 is a prime number, so now divide 17 by 17.

17/17 = 1

We divided just by 5 and 17.

Answer: The prime factors of 85 are 5 and 17.

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Could someone help me understand how to solve this?
monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

P_1=x\\ \\r_1=0.04\\ \\t_1=1,

then

I_1=x\cdot 0.04\cdot 1=0.04x

<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

then

I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

You have earned $69.50 in total, so

I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950

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Amount in 5% account: $950

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Answer:

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Step-by-step explanation:

First, we have to find the angle situated in R, the addition of all angles in a triangle is 180° so that means:

x + 68 + 48 = 180

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Now, remember that this angle (64°) is the same as this one = ?, thanks to one property.

So basically, that angle has the same value as that one.

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Answer:

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