How to solve this system of equation 3x + y= 17 and 4x + 2 y = 20
Answers
4x + 2 y = 20 (b)
Multiply (a) by 2:
6x + 2y = 34 (a)
4x + 2y = 20 (b)
make: (a) - (b)
2x = 14 -----> x =7
-------------------------------
Replace the value of x = 7 in one of anterior equation:
3x + y= 17
3 x 7 + y = 17
21 + y = 17
y = 17 - 21
y = -4
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What is the solution of the system of equations? y = –2x + 8 y = x – 4
Solve the equation 3x-4y=16 for x
b. (34)4 and 38 ⋅ 38
c. 64 ⋅ 34 and 188
d. 43 ⋅ 53 and 203
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 123 • 129 • 124 • 122.
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 106 ÷ 104.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 78 • 7.
a. 73 • 73
b. 7^18/7^9
c. (73)3
d. 74 + 75
e. 74 • 75
5. Is this equation correct?
63 ⋅ 73 = 423
A. Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B. Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D. No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
Answers
This question was not properly written
Complete Question
Select all the pairs of equivalent expressions.
a. (4³)³ and 4³ ⋅ 4³
b. (3⁴)⁴ and 3⁸ ⋅ 3⁸
c. 6⁴ ⋅ 3⁴ and 18⁸
d. 4³ ⋅ 5³and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴ • 12².
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 10⁶ ÷ 10⁴.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 7⁸ • 7.
a. 7³• 7³
b. 7^18/7^9
c. (7³)³
d. 7⁴ + 7⁵
e. 7⁴ • 7⁵
5. Is this equation correct?
6³⋅ 7³= 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
B. Yes; 6³ • 7³is equal to (6 • 7 • 3) or (42 • 3).
C. No; 6³ • 7³ is equal to (6 • 7 • 3) or (42 • 3).
D. No; 6³ • 7³ is equal to (6 • 7)³+ 3 or 42⁶.
Answer:
1 The correct answer is
d. 4³ ⋅ 5³ and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2b. 12^18
3 a = 10²
4a. 7³ • 7³
c. (7³)³
e. 7⁴ • 7⁵
5 A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
Step-by-step explanation:
1) Select all the pairs of equivalent expressions.
These are the correct options
d. 4³ ⋅ 5³and 20³
4³ × 5³ = 8000
20³ = 8000
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴• 12².
For an Algebraic Expressions,
We have the rule
x^a × x^b = x ^a+ b
Hence: 12³ • 12⁹• 12⁴ • 12².
= 12^3+9+4+2 = 12^18
Hence, b. 12^18
3. Choose an equivalent expression for
10⁶ ÷ 10⁴.
For an Algebraic expressions
x^a ÷ x^b = x ^a - b
Therefore
10⁶÷ 10⁴ = 10²
a. 10^2 Is the correct option
4. Select all the expressions that are equivalent to 7⁸ • 7.
7⁸ . 7= 7^8+1
= 7^9 or 7⁹
The equivalent expressions are:
a. 7³ • 7³ = 7⁹
b. 7^18/7^9 = 7⁹
c. (7³)³ = 7⁹
e. 7⁴ • 7⁵ = 7⁹
5. Is this equation correct?
6³ ⋅ 7³ = 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³
1. There are equivalent expressions in options (a) and (e).(43)3 and 43 ⋅ 43, (43)3 and 43 ⋅ 43 ⋅ 43
2. The equivalent expression for 123 • 129 • 124 • 122 is 12^18. Option b
3. The equivalent expression for 106 ÷ 104 is 10^2.Option a
4. Equivalent expressions in options (a) and (c) represent 78 • 7.
5. The equation 63 ⋅ 73 = 423 is not correct; the correct result is 63 • 73 = 1369.Option C
1. Pairs of Equivalent Expressions:
a. (43)3 and 43 ⋅ 43: These are equivalent expressions because (43)3 means 43 raised to the power of 3, which is the same as 43 multiplied by itself 3 times.
e. (43)3 and 43 ⋅ 43 ⋅ 43: These are equivalent expressions because (43)3 means 43 raised to the power of 3, which is the same as 43 multiplied by itself 3 times.
2. Equivalent Expression for 123 • 129 • 124 • 122:
b. 12^18: This expression represents the product of 12 raised to the power of 18, which is equivalent to multiplying the given numbers.
3. Equivalent Expression for 106 ÷ 104:
a. 10^2: This expression represents 10 raised to the power of 2, which is equivalent to the given division.
4. Expressions Equivalent to 78 • 7:
a. 73 • 73: This expression represents the square of 7^3, which is equivalent to 78 • 7.
c. (73)3: This expression represents 7^3 raised to the power of 3, which is equivalent to 78 • 7.
5. Is the Equation Correct?
C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3). The equation 63 ⋅ 73 = 423 is not correct; the correct result is 63 • 73 = 1369. The provided equation does not accurately represent the multiplication of 63 and 73.
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multi step equation, please solve ill give brainliest (with steps)
Answers
Answer:
The answer is x=-17/3
Step-by-step explanation:
The Steps:
-8 + 5(1 + x) = 2x - 20
-8 + 5 + 5x = 2x - 20
-3 + 5x = 2x - 20
-3 + 3x = -20
3x = -17
x = -17/3
Answers
Remember that
–12x2y
2x2y2
7xy2
–10x2
4x2y
3x3
Answers
3x2y + 3xy (cannot be added)
3x2y + (–12x2y) = -9x2y
3x2y + 2x2y2 (cannot be added)
3x2y + 7xy2 (cannot be added)
3x2y + (–10x2) (cannot be added)
3x2y + 4x2y = 7x2y
3x2y + 3x3 (cannot be added)
Answer:
B and F would be your correct answers
b. The equation 2/3(x + 400 + 350) = x can be used to model the situation.
c. Leena consumed 500 calories at dinner.
d. The equation 2/3(x) = x(400 + 300) can be used to model the situation.
e. Leena consumed 1,000 calories at dinner.
f. The equation 2/3x(400 + 300) = x can be used to model the situation.
Answers
Only Option 'A' and 'B' are correct.
a) Leena consumed 1,500 calories at dinner.
b) The equation 2/3(x + 400 + 350) = x can be used to model the situation.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, we have given that
Number of calories she consumed at breakfast = 400
Number of calories she consumed at lunch = 350
Now, Let number of calories she consumed at dinner be x
According to question,
She consumes 2/3 of her daily calories at dinner,
So, it becomes,
1/3 x total = 400 + 350
total = 2250
so, Number of calories she consumed at dinner is given by
2/3 of total = x
2/3 x 2250 = x
x = 1500
And by option 'B' we get,
2/3 (x + 400 + 350) = x
2 (x + 750) = 3x
2x + 1500 = 3x
x = 1500
So, only Option 'A' and 'B' are correct.
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Answer:
the answers are A and B
Step-by-step explanation:
hope i helped