You have to calculate the subtraction of two mixed numbers.
\(2\frac{1}{8}-1\frac{7}{8}\)To subtract two mixed numbers, the first step is to express the said numbers as improper fractions.
Let's start with 2 1/8. First, divide the whole number by 1 to express it as a fraction and add 1/8 to it:
\(\frac{2}{1}+\frac{1}{8}\)Next, multiply the fraction 2/1 by 8 (both numerator and denominator) to express it with the same denominator as the fraction 1/8:
\(\begin{gathered} \frac{2\cdot8}{1\cdot8}+\frac{1}{8} \\ \frac{16}{8}+\frac{1}{8} \end{gathered}\)Finally, add both fractions:
\(\frac{16+1}{8}=\frac{17}{8}\)Now we have to express the mixed number1 7/8 as a fraction. As before, the first step is to divide the whole number by 1 to express it as a fraction and add 7/8:
\(\frac{1}{1}+\frac{7}{8}\)To add both fractions they must be expressed with the same denominator, so multiply the first fraction by 8, to express it with denominator 8:
\(\begin{gathered} \frac{1\cdot8}{1\cdot8}+\frac{7}{8} \\ \frac{8}{8}+\frac{7}{8} \end{gathered}\)Finally, add both fractions:
\(\frac{8+7}{8}=\frac{15}{8}\)Now that both mixed numbers are expressed as improper fractions, we can proceed to subtract them:
\(2\frac{1}{8}-1\frac{7}{8}=\frac{17}{8}-\frac{15}{8}\)To add/subtract two fractions, they must be expressed with the same denominator. The denominator of both fractions is "8" so we can subtract the fractions.
You just have to subtract the numerators of the fractions:
\(\frac{17}{8}-\frac{15}{8}=\frac{17-15}{8}=\frac{2}{8}\)The result of the subtraction is 2/8
This fraction is not expressed as its simplest form, both "2" and "8" are divisible by 2, you can simplify this fraction by dividing both the numerator and denominator by 2:
\(\frac{2\div2}{8\div2}=\frac{1}{4}\)The simplified result of the subtraction is 1/4
Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
the little boxes on the bottom with the numbers in it are the answers. plz do all three if u can
Answer:
is this correct? hope it works
Answer:
The difference of a number and 4 is 11
=> That number is 11 + 4 = 15
The quotient of a number and 13 is 78
=> The number is 13 x 78 = 1014
6.5 more than a number is 19.1
=> The number is 19.1 - 6.5 = 12.6
Hope this helps!
:)
What is the median of this data set?
{11, 6, 11, 9, 7, 2,5}
Enter your answer in the box.
Answer: The median is 7
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
for more questions on down payment
https://brainly.com/question/1698287
#SPJ8
A student solves the following problem:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: 6x−6=19
Step 3: 6x−6 + 6=19 + 6
Step 4: 6x=25
Step 5: 6x6=256
Step 6: x≈4.17
Where is the mistake? What did the student do incorrectly?
Responses
Step 3: Student should have subtracted 6 from both sides, not added 6.
Step 5: Student should have subtracted 6 from both sides, not divided by 6
Step 1: Student should have only distributed the 2 to the x and not the x & 3.
Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x
Answer:
error in Step 2
Step-by-step explanation:
2(x - 3) + 3x = 19
Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms
Step 2 : 5x - 6 = 19 ← add 6 to both sides
Step 3 : 5x - 6 + 6 = 19 + 6
Step 4 : 5x = 25 ← divide both sides by 5
Step 5 : x = 5
Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3
3a. Find the volume of the 3-dimensional object. (enter only the number
Answer:
60 m^3.
Step-by-step explanation:
3*4*5.
The ratio of apples to bananas in a basket of fruit is 3 to 5. Which statement about the fruit in the basket is NOT true? O A For every 3 apples in the basket, there are 5 bananas. OB. For every 3 apples in the basket, there are 5 pieces of fruit total. Το Oct OC. For every 5 bananas in the basket, there are 3 apples. O D. For every 5 bananas in the basket, there are 8 pieces of fruit total.
Answer:
For every 3 apples in the basket, there are 5 pieces of fruit total.
Step-by-step explanation:
that is the answer which is not true
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
\(a^2+b^2=c^2\)
We can set the length of a leg as an unknown variable \(x\).
\(x^2+4^2=(3x)^2\)
Remember that it is the whole \(3x\) term being squared, meaning that it'll simplify to \(9x^2\), not \(3x^2\).
\(x^2+16=9x^2\)
\(8x^2=16\)
\(x^2=2\)
\(x=\sqrt{2}\)
This means we can plug back in to find the sides.
The hypotenuse would be \(3\sqrt{2}\), or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
solve for the variable x
Answer:
x = 7
Step-by-step explanation:
Triangle = 180˚ so
8x =56 , because x is 7. I know this bc it is a little bit more than 53 (you can tell just by looking at the triangle.)and it is impossible for it to be higher than 56, because angle c is more than 56. And I also checked it, so it is right.
e + d + c = 180
53 + 56 + c = 180
180 - 109 = 71 so
71 = c
The line segment equation thing:
A straight line segment is equal to 180˚ as well so...
14(7) + 5
98 + 5
103
angle J = 103
Check:
53 + 56 + 71 = 180
13=3g-2(-5+g) (solve for g)
Answer:
g = 3
Step-by-step explanation:
13=3g-2(-5+g)
3g-2(-5+g) = 13 {Use distributive rule}
3g - 5*(-2) + g(-2) = 13
3g + 10 -2g = 13 {Combine like terms}
3g - 2g + 10 = 13
g + 10 = 13 {subtract 10 from both sides}
g = 13 - 10
g = 3
30% of Elm trees have a certain disease. If you sample 80 elm trees, what is the probability that less than 20 trees have the disease?
The probability that less than 20 trees have the disease is; 0.135
How to find the Probability?
The formula for binomial probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
We are told that 30% of Elm trees have a certain disease. Thus;
p = 30% = 0.3
n = 80
x = 20
Thus, probability that less than 20 trees have the disease is;
P(X < 20) = P(X = 0) + P(X = 1) + P(X = 2) + ....... + P(X = 19)
Using a binomial probability calculator online gives us;
P(X < 20) = 0.135
Read more about Binomial Probability at; https://brainly.com/question/15246027
#SPJ1
Trig help. Please help me out, id rlly appreciate it. this is due in an hr. Thanks sooooooooooooooo much
An inverse trigonometric function for the angle θ as a function of x is θ = sin⁻¹((x + 3)/5).
An inverse trigonometric function for the angle θ as a function of x is θ = tan⁻¹(x/2).
How to determine the value of θ?In order to determine the value of θ with respect to x, we would apply basic trigonometry. From the information provided about this right angled triangle, we can logically deduce the following parameters:
Opposite side (Opp) = x + 3
Hypotenuse (Hyp) = 5.
Therefore, we would use the sine trigonometry to determine the value of θ as follows:
Sinθ = Opposite side/Hypotenuse
Sinθ = (x + 3)/5
θ = sin⁻¹((x + 3)/5)
For the second right angled triangle, we have:
Tan(θ) = Opposite side/Adjacent side
θ = tan⁻¹(x/2).
Read more on sine trigonometry here: brainly.com/question/26964482
#SPJ1
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 25 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 15 \ months\)
The sample size is n = 25
The sample mean is \(\= x = 17 \ months\)
The standard deviation is \(s = 5.5 \ months\)
Let assume the level of significance of this test is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu = 15\)
The alternative hypothesis is \(H_a : \mu > 17\)
Generally the degree of freedom is mathematically represented as
\(df = n -1\)
=> \(df = 25 -1\)
=> \(df = 24\)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }\)
=> \(t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }\)
=> \(t = 1.8182\)
Generally from the student t distribution table the probability of obtaining \(t = 1.8182\) to the right of the curve at a degree of freedom of \(df = 24\) is
\(p-value = P(t > 0.18182 ) = 0.4286\)
From the value obtained we see that \(p-value > \alpha\) hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
For more questions on Deviation .
https://brainly.com/question/24298037
#SPJ8
Please help. I will give brainly. Thank you
Answer:
1.
a = 1.96
( 1.4 x 1.4)
b= 3750
c= 1/48
2.
a= 2?
dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.
b= 3
c= 16-4a
( IM NOT SO CONFIDENT ABOUT 2)
3.
a= 17
b= ( 2squared - 1)
Step-by-step explanation:
Answer:
thank you for the points bozzo
Fill in the blanks to complete the rule
uh i could never, sorry
A plumber charges $80 for a house call and $25 per hour for his services. Which of the following is a linear model of his charges.
Answer:bals
Step-by-step explanation:25(number of hours worked) +80$ for initial charge
Answer:
25x+80
The number of hours is x for services
please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
Learn more about real return and stocks here: https://brainly.com/question/32228847
#SPJ1
Solve for w in the equation: 0.4w + 2.45 = 8.75
Answer:
w= 15.75 or 15 3/4
Step-by-step explanation:
So I would multiply 100 on both sides to get rid of the decimals so I’d end up with 40w+245=875
Now solve it by subtracting 245 on both sides.
40w=630
now divided 40 on both sides
15 3/4
Final answer 15 3/4 or 15.75
Find the area of this figure.
Answer:
pretty sure it's 360 :)
Step-by-step explanation:
...
Area = ( 1/2 × 4 × 3 ) + ( 1/2 × 5 × 6 )
Area = 6 + 15
Area = 21 ft^2
I need help and I will give brainliest to the person with the right answers and explanation
Answer: Part A: y= -1200x +25000 this is because it decreases 1200$ a year that is your rate of change and it started at 25000 that is your y-intercept
Part B: question a would be 46000$ because that’s where the zero is which is when he bought it question b is 3000$ because that is how much the table decreases with each year
Step-by-step explanation:
just to add some more to matthewwjohnson92 great reply above.
part A
year........value
1...........25000 - 1200(1)
2...........25000 - 1200(2)
3...........25000 - 1200(3)
4...........25000 - 1200(4)
x...........25000 - 1200(x)
y = 25000 - 1200xpart B
Check the picture below.
how much lost each year? from 0 to 3 it lost 9000, so 9000/3 = 3000 per each year.
pls hurry ill make brainliest!
The tape diagram represents an equation.
20
9
9
Write an equation to represent the tape diagram.
Choose 1 answer:
А
20 = 9:2
B
20 = 2g
Find the value of g that makes the equation true.
9
Answer:
B.
g= 10
Step-by-step explanation:
20 more than half a number is 70 what is the number
the area of the largest circle than can be drawn inside a square of side 14cm is
Answer:
154 cm²
Step-by-step explanation:
The diameter of the largest circle that can be drawn inside the square of 14 cm length = side of the square
Therefore diameter of circle = 14 cm
Hence area of circle = πr²
22/7 * 7 * 7
= 154 cm²
Question 3(Multiple Choice Worth 2 points) (01.01 MC) What is seven hundred thousand one hundred eighty-two and nine thousandths written in expanded form 700,000+100 + 80 +2 +0.009 700,000+ 10,000+8,000 + 200 +0.9 7,000,000+ 100,000+ 9,000 + 80 +2 7,000,000+ 100,000+80,000 +2 +0.09
The number in an expanded form is 700,000 + 182 + 0.009
How to write the number in an expanded form?The number is given as:
seven hundred thousand one hundred eighty-two and nine thousandths
Next, we split the numbers:
seven hundred thousand = 700,000
one hundred eighty-two = 182
and nine thousandths = 0.009
Next, we add the numbers
700,000 + 182 + 0.009
Hence, the number in an expanded form is 700,000 + 182 + 0.009
Read more about expanded forms at
https://brainly.com/question/655925
#SPJ1
Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
for such more question on linear equations
https://brainly.com/question/19803308
#SPJ8
Solve the system by substitution.
y = 3x + 28
y = -4x
Answer:
(-4, 16)
Step-by-step explanation:
-10 C into Fahrenheit
Answer:
14 degrees fahrenheit
Step-by-step explanation:
Brandon buys 8 footballs then he buys 12 more how many dose he have
Answer:20
Step-by-step explanation: