-15 + 4/5( 15e - 10) - 10e
-15 + 4/5( 15e - 10) - 10e please help simplify
To simplify the expression, we can start by distributing the 4/5 to the terms inside the parentheses:
4/5(15e - 10) = (4/5) * 15e - (4/5) * 10
= (12e - 8)
Now we can substitute this back into the original expression:
-15 + (12e - 8) - 10e
= -15 + 12e - 8 - 10e
Next, we can combine like terms:
(12e - 10e) - 15 - 8
= 2e - 23
So, the simplified expression is 2e - 23.
Factor 48y + 36z using gcf
To factor out the greatest common factor (GCF) from 48y and 36z, we need to find the highest factor that is common to both terms.
The prime factorization of 48 is 2^4 * 3, and the prime factorization of 36 is 2^2 * 3^2.
The GCF of 48y and 36z is 12, which is the highest power of 2 and 3 that is common to both terms.
Therefore, we can factor out 12 from both terms:
48y + 36z = 12(4y + 3z)
So, the factored form of 48y + 36z using the GCF is 12(4y + 3z).
To simplify the expression -15 + 4/5(15e-10) - 10e step-by-step, let's break it down:
1. Start with the parentheses: 15e - 10. No simplification can be done here.
2. Distribute the 4/5 into the parentheses:
(4/5)(15e - 10) = (4/5)(15e) - (4/5)(10)
= (4/5) * 15e - (4/5) * 10
= (12e - 8)/5
3. Now, the original expression becomes:
-15 + (12e - 8)/5 - 10e
4. Combine like terms:
-15 - 10e + (12e - 8)/5
5. To simplify further, we need to find a common denominator for -15 and (12e - 8)/5. The common denominator is 5, so we'll multiply -15 by 5/5 and (12e - 8)/5 by -1/-1:
(-15 * 5)/5 - (10e * 5)/5 + (12e - 8)/5
6. Simplify:
-75/5 - 50e/5 + (12e - 8)/5
7. Combine the fractions:
(-75 - 50e + 12e - 8)/5
8. Combine like terms:
(-75 + 12e - 50e - 8)/5
9. Simplify further:
(-83 - 38e)/5
The simplified expression is (-83 - 38e)/5.
To simplify the expression -15 + 4/5(15e - 10) - 10e, follow these steps:
Step 1: Distribute the 4/5 to the terms within the parentheses:
-15 + (4/5 * 15e) - (4/5 * 10) - 10e
Step 2: Simplify the multiplication:
-15 + (12e) - (8/5) - 10e
Step 3: Combine like terms:
(12e - 10e) + (-15 - (8/5))
Step 4: Simplify further:
2e - 15 - (8/5)
Step 5: Convert the fractions into a common denominator:
2e - 15 - (40/5) - (8/5)
Step 6: Combine the fractions:
2e - 15 - (48/5)
Step 7: Simplify further:
-15 - (48/5) + 2e
Now, the expression is simplified to -15 - (48/5) + 2e.