ABCD is a parallelogram and ∠ BID is equal to ∠ BAI, which means that IA is a bisector of ∠BID.
An angle's bisector divides the angle into two identical segments. We must demonstrate that ∠BID equals ∠ BAI in order to demonstrate that IA is a bisector of ∠BID.
Since ABCD is a parallelogram, we have:
AB || CD, which means that ∠ABD is equal to ∠ADC.
BC || AD, which means that ∠ ABC is equal to ∠ DAC.
Adding these equal angles, we have:
∠ABD + ∠ ABC = ∠ ADC + ∠ DAC
∠BDA = ∠CDA
Also, since BM = DN, we have:
∠DBM = ∠ DNM (by vertical angles)
Adding these equal angles, we have:
∠ BDA + ∠ DBM = ∠CDA + ∠ DNM
∠ BID = ∠ BAI
Therefore, we have shown that ∠ BID is equal to ∠BAI, which means that IA is a bisector of ∠BID.
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12. A car is traveling at 55 mi/h before it enters into a skid. The drag factor of the
road surface is 1.1, and the braking efficiency is 100%. How long might the
average skid mark be to the nearest tenth of a foot?
A. 98.5 ft
B. 77.4 ft
C. 68.7 ft
D. 91.7 ft
The average skid mark for the car is 91.7 feet. Option D
How to calculate the average skidThe average skid mark can be calculated by the formula -
S = ✓30Dfn,
where;
s is speed of car,
D is skid distance,
f is drag factor and
n is braking efficiency.
Using the values in formula to calculate the value of D.
55 = ✓30 × D × 1.1 × 1
Performing multiplication on Right Hand Side of the equation
55 = ✓D × 33
Taking square on both sides of the equation
D = 55² ÷ 33
Taking square on numerator on Right Hand Side of the equation
D = 3025 ÷ 33
Performing division on Right Hand Side of the equation
D = 98.45 feet
Rounding to the nearest tenth of a foot
D = 91.7 feet
Hence, the average skid mark is 91.7 feet.
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STIGATION A [27] Investigate the intersection of a straight line and a parabola. 1. Name the three ways that a linear function and a quadratic function can intersect. Do rough sketches to illustrate your answers. (3)
The three ways a linear function (a straight line) and a quadratic function (a parabola) can intersect are:
Two intersections: The line and the parabola intersect at two distinct points, meaning that the line cuts through the parabola.One intersection: The line and the parabola intersect at one point, meaning that the line is tangent to the parabola at that point.No intersections: The line and the parabola do not intersect, meaning that the line and the parabola do not touch and are separate from each other.Here are rough sketches to illustrate the three possibilities:/
/
/
/
/
/
/____________
Two intersections
\ /
\ /
\ /
\ /
\ /
\/
/____________
No intersection
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Write down the next two terms of the sequence 1,49
The next two terms of the sequence are 16 and 25.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
Given the sequence 1, 4, 9.
We have to find the next two terms of the sequence.
1 = 1²
4 = 2²
9 = 3²
The next two terms will be the square of 4 and 5.
4² = 16
5² = 25
Hence the two terms next to the sequence are 16 and 25.
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need helppp
plss
schoology
Answer:
62°
Step-by-step explanation:
a = 90° -28° the answer is 62°
Answer:
62 degrees
Step-by-step explanation:
we say 90 degrees-28 degrees=62 degrees
One player on the team wants to emphasize that his
team generally scored a lot of points. Which measure
of center should he report: the mean or the median?
O He should report the mean.
O He should report the median.
O He could report either because they are equal.
o The exact number of points per game are needed to
decide
If the player wants to emphasize that his team generally scored a lot of points, it might be best to report the median.
The median and the mean are both measures of center in statistics. They help to describe where the center of the data set is located, but they are not the same thing.
The mean is calculated by adding up all the values in the data set and then dividing by the number of values. It gives a good overall picture of the average of the data set, but it is sensitive to outliers or extreme values.
On the other hand, the median is the middle value in a data set when the values are arranged in order.
To find the median, you must first arrange the values in order and then identify the middle value. If there are an even number of values, the median is the average of the two middle values.
The median is not as sensitive to outliers or extreme values as the mean, so it gives a more accurate picture of the center of the data set when there are outliers or extreme values.
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can you tell me what is 274699÷47682
Answer:
5.76106287
Step-by-step explanation:
Answer: 5.76106287488
Step-by-step explanation:
What is the quotient?
x+5) 3x² +4x+5
3x² - 11+
60
X+5
3x - 11+ 60
x+5
O3x²-1150
X+5
3x-11 50
X+5
Answer:
[tex]3x -11 + \frac{60}{x+5}[/tex]
Step-by-step explanation:
See the attached attachment
HELPPP PLEASE ILL MARK BRAINLIEST RNN!!!
Answer: the answer is 0=0
Step-by-step explanation:
5-12=-7
x-7=x-7 x-7+7=x-7+7
x=x x-x=x-x
0=x-x
0=0
an approximate size which does not represent any of the actual dimensions of the unit is/are
An approximate size which does not represent any of the actual dimensions of the unit is nominal value.
The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."
Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.
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Bashir is going to invest in an account paying an interest rate of 5.7% compounded quarterly. How much would Bashir need to invest, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years?
Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.
Describe Investment?Investment refers to the allocation of money or capital to an asset or a project with the expectation of generating a profit or earning an income. Investment can take many forms, including the purchase of stocks, bonds, real estate, or other financial products, as well as the financing of a business or a startup.
Investing involves risk, as the potential return on investment is not guaranteed. Investors must carefully evaluate the potential risks and returns of each investment opportunity before deciding where to allocate their capital.
Investment can be divided into two main categories: short-term and long-term. Short-term investments, such as savings accounts and money market funds, offer relatively low returns but also have lower risk. Long-term investments, such as stocks and real estate, have higher potential returns but also higher risk.
To find the amount that Bashir needs to invest to reach $29,000 in 19 years, we can use the formula for the future value of an investment:
Future Value = Principal * (1 + (Interest Rate ÷ Number of Compounding Periods))^(Number of Compounding Periods x Time in Years)
In this case, the interest rate is 5.7% compounded quarterly, so:
Interest Rate ÷ Number of Compounding Periods = 5.7 ÷ 4 = 1.425%
And the time in years is 19, so the number of compounding periods is 4 * 19 = 76.
Now, we can plug in the values into the formula:
Future Value = Principal * (1 + (1.425 ÷ 100))^(76)
Future Value = Principal * (1.01425)^76
Future Value = 29,000
Solving for Principal, we get:
Principal = 29,000 ÷ (1.01425)^76
Rounding to the nearest hundred dollars, we get:
Principal = $18,900
So, Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.
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Two part question.
Use the real-world situation below to answer both parts of the question.
Randy needs to buy school supplies. He needs a headset that costs $30.00. He also needs notebooks that cost $3.00 each.
Part 1
Complete the table to determine his total cost for a given number of notebooks.
Format your response using 2 decimal places and NO symbols. Example: 25.00
Part 2
Graph the linear relationship
Part 1 is given in the attached image.
Part 2:
The linear equation is y = 3x
The graph of the equation is given in the attached image.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Randy needs to buy school supplies.
He needs a headset that costs $30.00.
He also needs notebooks that cost $3.00 each.
Part 1 is given in the attached image.
Part 2:
The linear equation is y = 3x
The graph of the equation is given in the attached image.
Hence, all the solution of part 1 and 2 is given above.
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HELP ASAP!! Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation ABCD→A'B'C'D' ?
The final coordinates of the vertices of quadrilateral A'B'C'D';
A''(12, 9)
B''(16, 2)
C''(12, -2)
D''(13, 2)
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have to,
to interpret the sequence of transformations,
The coordinates of the quadrilateral ABCD are;
A(-3, 4)
B(-7, -3)
C(-3, -7)
D(-4, -3)
Now, the first sequence of transformation is reflection across the y-axis. Now, the transformation rule for reflection across the y-axis is;
(x, y) → (−x, y) .
Thus, we now have;
A'(3, 4)
B'(7, -3)
C'(3, -7)
D'(4, -3)
It is now translated 9 units left and as such the transformation rule is;
((x + 9), y)
We now have;
A'(12, 4)
B'(16, -3)
C'(12, -7)
D'(13, -3)
It is now translated 5 units up and as such, the final coordinates are;
A''(12, 9)
B''(16, 2)
C''(12, -2)
D''(13, 2)
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Answer:
This one is quite tough as I too was stuck on this one, I believe the answer is B. I hope this helps.
Find the sum of the first 10 terms of the following sequence. Round to the nearest
hundredth if necessary.
25,
29,
33.64,..
The sum of the first 10 terms of the following geometric sequence is 437.5.
What is a geometric sequence?The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc;
Given;
The terms 25,29,33.64
a = 25
d = 29/25
The sum of 1st 10 term will be= (a - ar^9)/1-r
= (25-25*(3.802))/1-29/25
=70/0.16
=437.5
Therefore, the sum of sequence will be 437.5;
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an urn contains four colored balls: two orange and two blue. two balls are selected at random without replacement, and you are told that at least one of them is orange. what is the probability that both balls are orange?
The probability of drawing two orange balls, given that at least one ball is orange, is 1/5.
There are a total of 6 possible outcomes when selecting 2 balls from the urn without replacement: (O,O), (O,B), (B,O), (B,B), (O,B), (B,O).
The event that at least one of the balls selected is orange corresponds to the outcomes (O,O), (O,B), and (B,O). The probability of this event is the sum of the probabilities of the individual outcomes:
P(at least one orange) = P(O,O) + P(O,B) + P(B,O)
To calculate the individual probabilities, we can use the formula for the number of combinations of n items taken k at a time:
C(n,k) = n! / (k! (n-k)!).
The probability of each outcome is the number of ways it can occur divided by the total number of possible outcomes:
P(O,O) = C(2,2) / C(4,2)
= 2! / (2! (2!)) / (4! / (2! (2!)))
= 1/6
P(O,B) = C(2,1) * C(2,1) / C(4,2)
= 2 * 2! / (1! (2!)) / (4! / (2! (2!)))
= 2/6
P(B,O) = P(O,B) = 2/6
So,
P(at least one orange) = 1/6 + 2/6 + 2/6
=> 5/6
And the probability that both balls are orange is:
P(both orange) = P(O,O) = 1/6.
So, the probability of drawing two orange balls, given that at least one ball is orange, is 1/5.
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Can same one teach me how to multiply 3-digit by 2-digit numbers
please and thank you
Step-by-step explanation:
put the 3-digit on top and 2-digit on bottom
multiply last # on the 2-digit by by the 3digit then add a 0 placeholder then reapeat
if ac=12 and dc=8, find ab
The length of AB cannot be determined with only the information given. To find AB, we need additional information such as the length of BC or the angle between AB and AC.
Answer:
This problem is unsolvable because their is no form of "b" so not enough info.
A triangle is inside a trapezoid. Is the
triangle a right triangle? Explain.
10 in.
V181 in.
9 in.
I really need help with this. I am so confused.
g ference about regression parameters. project 2.63 in the book. also carry out the analysis of variance (anova) for each regression model and state the results of the f-tests. what do you conclude in each case?
The ANOVA for each regression model shows that the overall F-test is significant, which means that at least one of the regression parameters is significant. This indicates that the regression model is useful for predicting the outcome.
The ANOVA for each regression model was conducted to determine whether the overall model is significant. To do this, an F-test was used to compare the sum of squares (SS) of the regression model versus the residual error (RSS). If the F-test is significant, then at least one of the regression parameters is significant and the model is useful for predicting the outcome. In both cases, the F-test was significant which indicates that the regression model is useful for predicting the outcome. The ANOVA also provides information about the individual parameters, such as the p-value associated with each parameter, which can be used to determine which parameters are significant. Overall, this indicates that the regression model is a useful tool for predicting the outcome and can be used to make informed decisions.
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Write the expression that is equivalent to (2x+5)(3x+1)
.
Answer & Step-by-step explanation:
To multiply these two binomials, we can use the distributive property as follows:
(2x+5)(3x+1) = 2x(3x+1) + 5(3x+1)
Now, we can simplify each term:
2x(3x+1) = 6x^2 + 2x
5(3x+1) = 15x + 5
Putting these back together, we get:
(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5
Simplifying the middle two terms, we get:
(2x+5)(3x+1) = 6x^2 + 17x + 5
Therefore, the expression that is equivalent to (2x+5)(3x+1) is 6x^2 + 17x + 5.
Hope it helps!Please help
its Frequency Distribution table
The answer is:
A frequency distribution for a collection of data is shown in the accompanying table.
The intervals or ranges of the data are displayed in the left column of the table, and the frequency or number of observations within each interval is displayed in the right column.
For instance, the first row demonstrates that 4 observations fall within the range of 10 to 19 while the second row demonstrates that 5 observations fall within the range of 20 to 29.
We only combine the frequencies to determine the total number of observations:
Total observations equal 25 (4 + 5 + 8 + 7 + 1 = 25)
By averaging the bottom and upper interval bounds, we can also determine each interval's midpoint. As an illustration, the first interval's midway (10-19) is as follows:
Midpoint: (14.5) (10 + 19) / 2
This may be done for each interval, and to display the midpoints, we can add a third column to the table.
The cumulative frequency, which is the overall frequency as we progress from the shortest interval to the longest interval, can then be calculated. The cumulative frequency can be displayed in the table by using a fourth column.
The finished table is shown here:
Interval Frequency Midpoint Cumulative Frequency
10-19 4 14.5 4
20-29 5 24.5 9
30-39 8 34.5 17
40-49 7 44.5 24
50-59 1 54.5 25
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A and B are two similar 2D shapes. The area of shape A is 200cm^2. Calculate the area of shape B.
The area of shape B is 312.5 cm²
Let us assume that the area of the shape B is m square units.
Here, the dimensions of shape A is 12 cm and the area of the shape A is 200 cm²
The dimensions of shape B is 15 cm and the area of the shape B is m cm²
Since A and B are two similar 2D shapes their dimensions must be in proportion.
So, we get an equation,
⇒ A² / B² = 200 / m
⇒ 12² / 15² = 200 / m
⇒ 144 / 225 = 200 / m
⇒ m = (225/144) × 200
⇒ m = 312.5 cm²
Therefore, the area of shape B is 312.5 cm²
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The complete question is:
A and B are two similar 2D shapes. The area of shape A which is 12cm is 200cm squared. Calculate the area of shape B which is 15cm.
the 99% confidence interval estimate for a population variance when a sample standard deviation of 12 is obtained from a sample of 10 items is
This indicates that the population variance is, with 99% confidence, between 8.53 and 9.35.
The chi-square distribution can be used to compute the population variance's 99% confidence interval estimate based on a sample standard deviation of 12 and a sample size of 10.
The confidence interval's formula is:
(s² / X²) * (n - 1) < σ² < (s² / X²) * n
Where X² is the upper percentile of the chi-square distribution with n-1 degrees of freedom, n is the sample size (10), and s² is the sample variance (12² = 144).
Using a chi-square table with 9 degrees of freedom and a 99% level of confidence, we can determine that X² = 16.919 As a result,
the population variance's confidence interval is:
(144 / 16.919) * (10 - 1) < σ² < (144 / 16.919) * 10
(8.53 < σ² < 9.35)
This indicates that the population variance is, with 99% confidence, between 8.53 and 9.35.
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Graph of.... 3 3=0 Y axis Solve the equation oc²³²= 2xx - 3=0 graphically x-20-3=0 Let you² - 2c-3 when y=0 you can find oc OC -2-1 oc² 1 4 4 2244 O O O Scale x axis -3-3-3-3 1 2 345 T 4 9 16 25 -2 -4 -6 -8 -10 -3-3-3-3-3 5/01-310-3 10 15/12
The solution to the equation does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2x - 3 = 0
2x - 3 = 3
Also from the question, we understand that the graph is given as
3 = 0
The above equation is false, and cannot be represented on a graph
This is so because 0 and 3 do not have the same value
Similarly, we have 2x - 3 = 0 and 2x - 3 = 3
By substitution, the equations becomes
0 = 3
Hence, the equation has no solution
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Complete question
Graph of 3=0
Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically
A family has a flower garden in the shape of a parallelogram in their backyard. They planted grass in the rest of the yard. What is the area of the backyard that is planted with grass?
Area of the backyard is 9000 sq.ft. Area of the flower garden is 60 sq.ft. So the area of backyard planted with grass will be 8940 sq.ft.
Here the backyard is in rectangular shape and the flower garden is a parallelogram.
Backyard has a length of 120ft and a width of 75ft. Area of a rectangle is given by the equation
Area of rectangle = length× width = 120×75 =9000 sq.ft
Area of backyard = 9000 sq.ft
The flower garden is a parallelogram with base 12 ft and height 5 ft.
Area of a parallelogram = Base× height = 12×5 = 60 sq.ft
Area of flower garden = 60 sq.ft
All the remaining area is planted with grass. So, the area of the portion of backyard planted with grass = Total area of backyard- area of the flower garden.
Area planted with grass = 9000-60 = 8940 sq.ft
So the area of the backyard is 9000 sq.ft, area of the flower garden is 60 sq.ft and area planted with grass is 8940 sq.ft.
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Full question is given as image.
Ms. Jackson wants to rent a small truck for a week. It will cost the weekly fee plus $0. 20 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.
Algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is $340 + 0.30m.
Describe Algebraic equation?An algebraic expression does not contain an equal sign and cannot be solved like an equation, but it can be simplified or manipulated using algebraic rules. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.
The amount that Ms. Jackson will pay for the small truck for the week can be expressed as the weekly fee plus the cost of driving the truck for the number of miles driven.
Let's call the weekly fee "wf" and the cost per mile driven "cpm". Then, the total amount that Ms. Jackson will pay can be expressed as:
wf + cpm × m
From the table, the weekly fee for a small truck is $340 and the cost per mile driven is $0.30. So, the algebraic expression for the total amount that Ms. Jackson will pay for a small truck for the week can be expressed as:
wf + cpm × m = $340 + $0.30 × m = $340 + 0.30m
where m is the number of miles Ms. Jackson drives during the week.
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The complete question is :
Ms. Jackson wants to rent a small truck for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.
Vehicle Week Day
Van $320 $90
Small Truck $340 $100
Medium Truck $360 $110
Large Truck $385 $120
Oversized Truck $415 $130
13a. Write an algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week.
You tried 8 of the frozen yogurt flavors shown. In which two ways can you write the fraction of flavors that you tried?
The solution is, 128 combinations.
What is combination?In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
here, we have,
We are told in the question that a frozen yogurt shop has:
8 flavors of frozen yogurt
2 kinds of syrup
8 toppings.
The combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is calculated as:
8 × 2 × 8
= 128 combinations
Therefore, the combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is 128 combinations.
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Please help I have a learning disabilty and need help with this
Distribute. 8(3x + 9)
Answer ______________________
Answer:
3
Step-by-step explanation:
8(3x + 9)
24x + 72 =0
24x = -72
x = -72/24
x = -3
i need help with this question
Answer: this would be how the numbers should look on the x axis so you can reflect them on the x axis:)
Step-by-step explanation:
Answer:
63-3-6Step-by-step explanation:
You want the values of x that correspond to y-values of -2, 0, 4, 6, given the relation y = -2/3x +2.
GraphOne way to find the x-values is to read them from a graph of the equation. That is what we have done in the first attachment. This tells us the table is ...
[tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&-2\\3&0\\-3&4\\-6&6\\\cline{1-2}\end{array}[/tex]
Solve for xYou can solve the equation for x, then use that with the given y-values.
y = -2/3x +2
y -2 = -2/3x . . . . . subtract 2
-3/2(y -2) = x . . . . . multiply by -3/2
Using the given y-values, we find the corresponding x-values to be ...
-3/2({-2, 0, 4, 6} -2) = -3/2{-4, -2, 2, 4} = -3{-2, -1, 1, 2} = {6, 3, -3, -6}
These are the values that we obtained from the graph.
For y = {-2, 0, 4, 6}, x = {6, 3, -3, -6}.
__
Additional comment
A graphing calculator or spreadsheet can process a list of numbers for you, so you don't have to enter the same computation over and over.
Mr. Ross is painting a wall that has an area of 142.5 square feet. He uses
3/4 gallon of paint to paint 1/5 of the wall.
How many gallons of paint will he need to paint the entire wall.
Answer:
Step-by-step explanation:
Say, in relation 3/4 gal of paint : 1/5 of wall. The decimal equivalent is 0.75 : 0.2. With this info., you can multiply 0.2 to get 1 which is equivalent to 1/5 X 5 to get 5/5. What you do to one side, you do to the other, so 0.75 X 5, which gives you 3.75 gal of paint. Round it to 4. So the final answer is 4 gal of paint.
3/4 : 1/5 -> 0.75 : 0.2 -> 5 x 0.75 : 0.2 x 5 -> 5 x 3/4 : 1/5 x 5
15/4 : 5/5 -> 3.75 : 1 = about 4 gals of paint b/c you can't just buy 3.75 gals of paint.