Let A represent the amount Ann contributed, Z represent Zoe's contribution, and J represent Jim's contribution toward the present.
Ann (A): A
Zoe (Z): A = Z - 12 → Z = 12 + A
Jim (J): A = J - 16 → J = 16 + A
A + Z + J = 154
(A) + (12 + A) + (16 + A) = 154
3A + 28 = 154
3A = 126
A = 42
Ann (A): A = 42
Zoe (Z): Z = 12 + A = 12 + 42 = 54
Jim (J): J = 16 + A = 16 + 42 = 58
Answer: Ann=42, Zoe=54, Jim=58
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slope
• The slopes of perpendicular lines are negative reciprocals of each other
A
y = -
x - 8 has slope m = - 
3 and -
are negative reciprocals
This line is perpendicular to y = 3x + 2
B
y = 3x - 10 has slope m = 3
This line is parallel to y = 3x + 2
C
y = 2x + 4 has slope m = 2
This line is neither parallel nor perpendicular to y = 3x + 2
Hi there!
PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)
Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1
PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.
Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers
ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
120
Step-by-step explanation:
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Mrs. Benson has 184 math assignments left to grade.
<u>Step-by-step explanation:</u>
Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:
Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Now , Assignments left to grade is :
⇒ 
⇒ 
Therefore , Mrs. Benson has 184 math assignments left to grade.