Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.
4.80 = 100%
x = 55%
Cross Multiply
100 * x = 55 * 4.80
100x = 264
x = <u>264</u>
100
x = 2.64
Solution: $2.64
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
Audrey was charged $3 for each withdrawal.
Step-by-step explanation:
We have to calculate the amount of money charged on one transaction.
In order to find the amount for one ATM withdrawal, the total amount for ATM withdrawals will be divided by number of withdrawals.
Given

Hence,
Audrey was charged $3 for each withdrawal.
Marcus needs to bike at least 11 miles each day.
Step-by-step explanation:
Given,
Distance to cover = 80 miles at least
Distance already biked = 25 miles
Number of days left = 5
Let,
x be the distance to cover in 5 days.
According to given statement;
Number of days left * Distance to cover + distance already bike ≥ Total distance to travel

Dividing both sides by 5

Marcus needs to bike at least 11 miles each day.
Keywords: inequality, division
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