You have an allowance of $12.00. You buy a discount movies ticket that costs at least $3.50 and popcorn that costs $2.75. HOw much do much do you have for other spending?
Answers
Given
You have an allowance of $12.00
discount movies ticket that costs at least $3.50
popcorn that costs $2.75.
Find out the how much do much do you have for other spending.
To proof
Let us assume that the money for the other spending be x.
As given
total allowance = $12.00
discount movies ticket that costs at least = $3.50
popcorn costs = $2.75
than the inequality written in the form
3.50 + 2.75 + x ≤ 12.00
6.25 + x ≤ 12.00
x ≤ 5.75
you have money for other spending is atmost 5.75
when the movies ticket that costs at least $3.50
Hence proved
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Answers
Answer:
6 yards
Step-by-step explanation:
x=52, y=76
x=38, y=104
x=52, y=104
Answers
The value of each variable are; x=38 and y=104
What is linear pair?
Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
We need to find the values of the variables x and y from the figure.
We know that if the two angles make a linear pair, then the sum of their measures is 180°.
The angles with measures y° and 76° makes a linear pair angles, so we have
y + 76 = 180
y = 180 - 76
y = 104
Also, angles with measures 2x° and y° makes a linear pair angles, so we have;
2x+y=180
2x = 180 -y
2x = 180 - 104
x = 38 degrees
Hence, the value of each variable are; x=38, y=104
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2x=76
divide 2
x=38
on line, angles add to 180
2x+y=180
76+y=180
minus 76 both sides
y=104
y=104
x=38
3rd option
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Answers
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Vanessa needs at least a 46 on the 4th quiz.
What is an average?
Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. The minimum score will be calculated as below:-
First, find the average of the three.
45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes, for a 40 average on 4 quizzes, she needs
40 x 4 = 160 total points
For 3 quizzes she has,
45 +32 +37 = 114 points
For the fourth quiz,
160-114 = 46
Therefore, Vanessa needs at least a 46 on the 4th quiz.
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45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes,
for a 40 average on 4 quizzes she needs 40*4 = 160 total points
for 3 quizzes she has 45 +32 +37 = 114 points
160-114 = 46, she needs at least a 46 on the 4th quiz
Answers
Based on the information given, the initial fee that Alex will pay will be $20.20.
Let the initial fee be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
x + (7.49 × 2) = 35.18
x + 14.98 = 35.18
x = 35.18 - 14.98
x = 20.20
Therefore, the initial fee is 20.20.
Learn more about equations on:
Answer:
$20.20 is the initial fee which Alex will pay to Barry.
Step-by-step explanation:
Initial rental fees charged by Barry for his boat = x
Additional fees charged for each hour by Barry for his boat = $7.49
Duration of time for which boat was rented = 2 hours
Additional fees that will be paid by Alex for renting Barry's boat for 2 hours :
=
Total fees paid by Alex to Barry for renting his boat = $35.1
$20.20 is the initial fee that Alex will pay to Barry.