Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
sin45° =
= 
Multiply both sides by y
y × sin45° = 9, that is
y ×
= 9
Multiply both sides by 
y = 9
Answer:
- Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
<u>Given expressions</u>
- 4x - x + 5 = 3x + 5
- 8 - 3x - 3 = -3x + 5
Compared, we see the expressions are different as 3x and -3x have different coefficient
<u>Answer options</u>
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
- Incorrect. Positive outcome doesn't mean equivalent
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Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
- Incorrect. There are 2 values- variable and constant
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Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
- Incorrect. Positive outcome doesn't mean equivalent.
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Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
#1) x-8= -12
#2) 15+k= 2
#3) x/-7= -20
#4) (5/8)(x)= -20
The / in #2 means to divide and the ( ) mean to multiply
Answer:
2 1/3 cups of flour for every dozen muffins
Step-by-step explanation:
1 1/2 dozen muffins equals 3 1/2 cups of flour which is also the same as 7/2 cups of flour. I know that (3) 1/2 dozen equals 1 1/2 dozen so I divided 7/2 by 3 which is 1 1/6 to get how much flour for 1/2 dozen then multiplied it by 2 to get how much flour in a dozen = 2 2/6 which simplified is 2 1/3.
Add 11 and 14 = 25. Then change 5% to a decimal or .05. 25 x .05= $1.25 this is the tax. Add $25 to $1.25. Answer is $26.25