The answers to the questions are:
1. x = 4
2. x = 1.5
3. x = 1.875
4. x = 1
<h3>2 step equation:</h3>
1. 4x + 3 = 19
4x = 19 - 3
4x = 16
divide by 4
x = 4
<h3>2 step equation w/ fractions:</h3>
(4/3)x + 5 = 17
= 1.33x + 5 = 7
Take like terms
1.33x = 7-5
1.33x = 2
divide through by 1.33x to get 2
x = 2/1.33
x = 1.5
<h3>3. Distributive Property:</h3>
4x(6 - 2) - 10 = 20
Multiply and open the bracket
24x - 8x - 10 = 20
Take like terms
16x = 20+10
16x = 30
x = 30/16
= 1.875
<h3>4. Decimals:</h3>
4.3x + 0.7 = 5
4.3x = 5 - 0.7
4.3x = 4.3
x = 1
Read more on distributive properties here:
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I believe C is correct,
Also, did you finish the equation for letter D?
Consider the digit expansion of one of the numbers, say,
676₉ = 600₉ + 70₉ + 6₉
then distribute 874₉ over this sum.
874₉ • 6₉ = (8•6)(7•6)(4•6)₉ = (48)(42)(24)₉
• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉
• 42 = 36 + 6 = 4•9¹ + 6•9⁰ = 46₉
• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉
874₉ • 6₉ = 5(3 + 4)(6 + 2)6₉ = 5786₉
874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉
• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉
• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉
• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉
874₉ • 70₉ = 6(2 + 5)(4 + 3)10₉ = 67710₉
874₉ • 600₉ = (874•6)00₉ = 578600₉
Then
874₉ • 676₉ = 578600₉ + 67710₉ + 5786₉
= 5(7 + 6)(8 + 7 + 5)(6 + 7 + 7)(0 + 1 + 8)(0 + 0 + 6)₉
= 5(13)(20)(20)(1•9)6₉
= 5(13)(20)(20 + 1)06₉
= 5(13)(20)(2•9 + 3)06₉
= 5(13)(20 + 2)306₉
= 5(13)(2•9 + 4)306₉
= 5(13 + 2)4306₉
= 5(1•9 + 6)4306₉
= (5 + 1)64306₉
= 664306₉
Answer:D
Step-by-step explanation:
Hope this was right.
Emma is now 24 years old then Ben would be 2E, or 48 years old.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let B and E be Ben's and Emma's current ages, respectively.
We have given that;
Ben's age is currently twice of his sister, Emma.
B = 2E
and
8 years ago, Ben's age was 2 and a half times that of Emma's age
B-8 = 2.5(E-8)
We can substitute the value of B from the first equation into the last one
B-8 = 2.5(E-8)
(2E)-8 = 2.5(E-8)
2E-8 = 2.5E- 20
-0.5E = -12
E = 24
Thus, Emma is now 24 years old then Ben would be 2E, or 48 years old.
Learn more about equations here;
brainly.com/question/10413253
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