<u>Part A
</u><u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case,
and
equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about
3 gallons.
<u>Part B
</u><u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.
Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.
Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.
Now, we can simply add our numerators.
We know that he needs
gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.
Using that logic, we can see that the painter needs exactly
gallons of paint.
y = 2x -5
y= -3x + 1
Here both the equations are in y = mx + b
where m is the slope and b is the y intercept
y =2x -5, the slope = 2 and b intercept = -5
y= -3x + 1, the slope = -3 and b intercept = +1
Both the equations have different slope. So there should be a single solution
Yes, the system of equations have a solution
Answer:
480 Litres
Step-by-step explanation:
Percentage increase = 20% × 400
New value =
400 + Percentage increase =
400 + (20% × 400) =
400 + 20% × 400 =
(1 + 20%) × 400 =
(100% + 20%) × 400 =
120% × 400 =
120 ÷ 100 × 400 =
120 × 400 ÷ 100 =
48,000 ÷ 100 =
480
The value of a is -5 if the provided polynomial is divided by (3x + 2) option first -5 is correct.
<h3>What is polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a polynomial:
3x² + 5x - 3
Which is divided by (3x + 2)
= (3x² + 5x - 3) ÷ (3x + 2)
By comparing with the given remainder.
a = -5
Thus, the value of a is -5 if the provided polynomial is divided by (3x + 2) option first -5 is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ1
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The sample mean is
The standard deviation is
The random number value is x =900
The probability that a trainee earn less than 900 a month is mathematically represented as
Generally the z-value for the normal distribution is mathematically represented as
So From above we have
Now from the z-table