Answer:
f(x)=2
Step-by-step explanation:
Answer:
f(x) = 4
Step-by-step explanation:
4 is itself the simplified expression and hence can't be simplified further
Hence, f(x) = 4 has a simplified base of 4.
The multiplication of two or more quantities may be expressed as the ? of the same quantities.
Answer:
sum
Step-by-step explanation:
We know that, 'multiplication of two or more quantities can be expressed as the SUM of the same quantities'.
This means that 'multiplication of two or more terms is equal to adding as many copies of one of them'.
i.e. a × b = a + a + .... ( 'b' number of times ) = b + b + ... ( 'a' number of times )
Let us consider few examples,
A. 2 × 4 = 8
So, we can have that,
2 × 4 = 2 + 2 + 2 + 2 = 8 i.e. we add the number 2 four times.
2 × 4 = 4 + 4 = 8 i.e. we add the number 4 two times.
B. 3 × 7 = 21
3 × 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3 = 21 i.e. we add the number 3 seven times.
3 × 7 = 7 + 7 + 7 = 21 i.e. we add the number 7 three times.
Hence, 'The multiplication of two or more quantities may be expressed as the SUM of the same quantities'.
The students in the fourth and fifth grades are going to a concert. There are 178 students. Each row has 8 seats. The fifth grade students fill 12 rows. How many rows are needed for the fourth graders?
Final answer:
Fifth graders take up 96 seats, leaving 82 fourth graders. Dividing 82 by 8 seats per row yields 10.25, which we round up to 11 rows needed for the fourth graders.
Explanation:
To calculate the number of rows needed for the fourth graders, we need to first determine the total number of seats taken by the fifth graders. Since each row has 8 seats and the fifth graders fill 12 rows, the total number of seats taken by the fifth graders is 12 rows × 8 seats/row = 96 seats.
Now, we subtract the number of seats taken by the fifth graders from the total number of students attending to find out how many fourth graders there are: 178 students - 96 seats taken by fifth graders = 82 fourth graders.
The number of rows needed for the fourth graders can be calculated by dividing the total number of fourth graders by the number of seats per row: 82 fourth graders ÷ 8 seats/row = 10.25 rows. Since we can't have a fraction of a row, we round up to the next whole number. Therefore, the fourth graders will need 11 rows.
Harvey is finding the area of a figure that can be divided into 2 equal trapezoids. The basis of each trapezoid are 14 and 24. The height of each is 8. What is the area of the figure?
Answer:
The area of figure is 304 square unit.
Step-by-step explanation:
The figure divided into 2 equal trapezoids.The height of each is 8. The basis of each trapezoid are 14 and 24. It means the length of the parallel sides are 14 and 24.
Area of a trapezoid is
[tex]A=\frac{a+b}{2}\cdot h[/tex]
Where, a and b are length of parallel sides and h is the height of trapezoid.
Area of a trapezoid is
[tex]A_1=\frac{24+14}{2}\times 8[/tex]
[tex]A_1=19\times 8[/tex]
[tex]A_1=152[/tex]
Therefore area of a trapezoid is 152.
The area of figure is twice of area of a trapezoid.
[tex]A=2\times A_1=2\times 152=304[/tex]
Therefore the area of figure is 304 square unit.
Answer:
304
Step-by-step explanation:
Hope this helps! :)
An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15t. How fast is the airplane flying? Be sure to include the units. 60 mph How far will it travel in 30 seconds? How long will it take to go 12.75 miles?
For a 30 second flight, the airplane will travel 4.5 miles. To cover a distance of 12.75 miles, it will take 85 seconds.
The relationship between the distance an airplane travels and the time it takes is given by the equation [tex]d=0.15t[/tex].
Here, d stands for distance in miles and t for time in seconds. The coefficient 0.15 in this equation represents the speed of the airplane in miles per second.
To find how fast the airplane is flying, we must convert this speed to a more familiar unit, such as miles per hour.
Since there are 3600 seconds in one hour, the airplane's speed in miles per hour (mph) is
[tex]0.15 miles/second \times 3600 seconds/hour = 540 mph[/tex]
Now, to determine how far the airplane will travel in 30 seconds, we substitute t with 30 in the original equation:
[tex]d = 0.15 \times 30[/tex], yielding a distance of 4.5 miles.
To calculate how long it will take the airplane to go 12.75 miles, we use the original equation but solve for t:
[tex]t = \frac{d}{0.15} t = \frac{12.75}{0.15}[/tex]
which simplifies to 85 seconds.
HW 7.4/7.5 help mhhhh
Answer:
1. LI=18
2. x=10
3. Yes (Y)
4. Yes (Y)
5. x=15
6. x=18
7. x=8
8. x=6
y=6.5
Step-by-step explanation:
1. LI/JL=KH/JK
Replacing the given values:
LI/6=21/7
Dividing on the right side of the equation:
LI/6=3
Solving for LI: Multiplying both sides of the equation by 6:
6(LI/6)=6(3)
LI=18
2.TV/VS=RU/US
Replacing the given values:
x/17.5=8/14
Simplifying the fraction on the right side of the equation: Dividing numerator and denominator by 2:
x/17.5=(8/2) / (14/2)
x/17.5=4/7
Solving for x: Multiplying both sides of the equation by 17.5:
17.5(x/17.5)=17.5(4/7)=(17.5/1)(4/7)
Multiplying:
x=(17.5 x 4) / (1 x 7)
x=70/7
Dividing:
x=10
3. BC is parallel to DE if AD/DB is equal to AE/EC:
AD/DB=15/12=(15/3) / (12/3)→AD/DB=5/4
AE/EC=10/8=(10/2) / (8/2)→AE/EC=5/4
Like AD/DB=5/4=AE/EC → BC is parallel to DE
4. BC is parallel to DE if AD/DB is equal to AE/EC:
AD/DB= 2DB / DB→AD/DB=2
AE/EC=30 / (AC-AE)=30 / (45-30)=30/15→AE/EC=2
Like AD/DB=2=AE/EC → BC is parallel to DE
5. If JH is a midsegment of triangle KLM:
x=(1/2)(30)
x=15
6. If JH is a midsegment of triangle KLM:
x=2(9)
x=18
7. If JH is a midsegment of triangle KLM: x=8
8. 2x+1=x+7
Solving for x. Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:
2x+1-x=x+7-x
Subtracting:
x+1=7
Subtracting 1 both sides of the equation:
x+1-1=7-1
Subtracting:
x=6
2x+1=2(6)+1=12+1→2x+1=13
x+7=6+7→x+7=13
(3y-8)/(y+5)=(2x+1)/(x+7)
(3y-8)/(y+5)=13/13
(3y-8)/(y+5)=1
3y-8=y+5
Solving for y. Grouping the y's on the left side of the equation: Subtracting y both sides of the equation:
3y-8-y=y+5-y
Subtracting:
2y-8=5
Adding 8 both sides of the equation:
2y-8+8=5+8
Subtracting:
2y=13
Dividing both sides of the equation by 2:
2y/2=13/2
Dividing:
y=6.5
You sold 10 pies at a bake sale for $6.50 each, but you spent $18.00 on bake sale supplies. Which equation shows how to calculate your profit, p?
Answer:
Step-by-step explanation:
10x$6.50 then you subtract that from $18.00 now help me on my question
Profit means the amount YOU get (revenue) minus the cost you paid (expenses). Your expenses were $18. Your revenue was the total you earned from those 10 pies.
They were $6.5 each, which means that if you multiplied by 10, you would get the total.
p=6.5 x 10 - 18
The equation of a circle is given below. x ^2 +(y-2.25)^2 =196/169. What is the center? What is the radius?
Answer:
center : (0, 2.25)
radius: 14/13
Step-by-step explanation:
x^2+(y-2.25)^2=196/169
Rewrite x^2+(y-2.25)^2=196/169
(x-0)^2+(y-2.25)^2=(14/13)^2
c=(0,2.25),r= (14/13)
hope this helps<3
Final answer:
The center of the circle described by the equation is at (0, 2.25), and its radius is 14/13 units.
Explanation:
The equation given is x^2 + (y-2.25)^2 = 196/169. This equation is of the form (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of the circle, and r is the radius. To find the center and radius, we compare the given equation to the standard form.
Center: By comparison, h=0 and k=2.25, so the center is at (0, 2.25).
Radius: The radius is the square root of 196/169, which is 14/13. Therefore, the radius is 14/13 units.
Three trigonometric functions for a given angle are shown below. sin theta = -77/85, cos theta=36/85 tan theta=77/36 What are the coordinates of point (x, y) on the terminal ray of angle theta assuming that the values above were not simplified?
A) (-77,-36)
B)(-77,36)
C) (-36,77)
D) (36, -77)
Answer:
The correct option is D.
Step-by-step explanation:
It is given that
[tex]\sin \theta =\frac{-77}{85}[/tex]
[tex]\cos \theta =\frac{36}{85}[/tex]
The angle of terminal ray is θ, it means the angle between x-axis and terminal ray is θ.
[tex]\sin \theta =\frac{perpendicular}{hypotenuse}[/tex]
[tex]\cos \theta =\frac{base}{hypotenuse}[/tex]
Therefore the length of perpendicular is 77 and the base of the triangle is 36.
Since sinθ is negative and cosθ is positive, it means point must be lies on fourth quadrant because in fourth quadrant cosine in positive but sine is negative.
The point of terminal ray is (base, perpendicular) and the sign are used according to the quadrant.
Therefore the point of terminal ray is (36,-77) because in fourth quadrant x is positive but y is negative. Option D is correct.
The coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).
Given
Three trigonometric functions for a given angle are shown below.
sin theta = -77/85, cos theta=36/85, tan theta=77/36.
What is a terminal ray of angle?A ray is defined as the initial side of the angle.
The second ray which is called the terminal side of the angle.
The value of the sin and cos theta then, the co-ordinate lies in the fourth quadrant.
Therefore, the coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).
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You have a coin bank in the shape of a cylinder. It has a radius of 1.5 inches and a height of 5 inches. What is the surface area of the coin bank? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.
Answer:
Total surface area =61.23 in ^2
Step-by-step explanation:
To find the total surface area of a cylinder, we use the formula
T . S . A . = 2 π r h + 2 π r^ 2
where r is the radius and h is the height
We know the radius is 1.5 and the height is 5
Substituting the values into the equation
T . S . A . = 2 π (1.5)(5) + 2 π (1.5) ^2
= 15 π +4.5 π
= 19.5 π
Using 3.14 for π
= 19.5 * (3.14)
=61.23 in ^2
Answer:
61.23 square inches
.............................................................................................................
Step-by-step explanation:
Ben is repackaging a 45 pound bag of Rice into 8 smaller Bags so much rice is going to be in each smaller bag
Answer:
5.625
Step-by-step explanation:
45 ÷ 8 = 5.625
Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 10% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party? Party Prices • Food & Drink $200 • Game Tokens $100 • Other $60 A. $324 B. $72 C. $36 D. $288
Which number is a solution of the inequality? Choose one:
-3x(10-x)>4
a. 2
b. -3
c. 1
d. 0
Answer:
b
Step-by-step explanation:
to determine which value gives a solution, substitute the given values into the left side of the inequality and check the validity
a
- 6(10 - 2) = - 6 × 8 = - 48 < 4 → 2 is not a solution
b
9(10 + 3) = 9 × 13 = 117 > 4 → - 3 is a solution
c
- 3(10 - 1) = - 3 × 9 = - 27 < 4 → 1 is not a solution
d
0(10 - 0) = 0 × 10 = 0 < 4 → 0 is not a solution
Given the functions f(x)=3x^2 g(x)=x^2-4x+5 and h(x)=-2x^2+4x+1 rank them from least to greatest based on their axis of symmetry
ok, ranked by axis of symmetry
basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry
but there's an easier way
for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me
so
f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)
g(x)=1x^2-4x+5,
axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)
h(x)=-2x^2+4x+1
axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)
0<1<2
axisies
f(x)<h(x)<g(x)
order based on their axises of symmetry is f(x), h(x), g(x)
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Answer:
To find the axis of symmetry.
A quadratic equation is in the form of :
[tex]ax^2+bx+c =0[/tex] where a, b and c are coefficients and x is the variable
Axis of symmetry is given by :
[tex]x = -\frac{b}{2a}[/tex]
First identify a, b and c in the equation
[tex]f(x) = 3x^2[/tex]
⇒ a= 3 , b= 0 and c =0
[tex]g(x) = x^2-4x+5[/tex]
⇒ a = 1 , b = -4 and c =5
and
[tex]h(x) = -2x^2+4x+1[/tex]
⇒ a = -2 , b =4 and c =1
Using above formula of the axis of symmetry:
[tex]x = -\frac{b}{2a}[/tex]
then;
In f(x)
Axis of symmetry: [tex]x = -\frac{0}{2 \cdot 3} = 0[/tex]
Similarly;
In g(x)
Axis of symmetry : [tex]x = -\frac{-4}{2 \cdot 1} = \frac{4}{2} =2[/tex]
In h(x)
Axis of symmetry : [tex]x = -\frac{4}{2 \cdot -2} = \frac{4}{4} =1[/tex]
Rank from least to greater on basis of axis of symmetry: 0 , 1 , 2
⇒ f(x); h(x) ; g(x)
There are 1,200 students at roosevelt middle school. There are 700 boys at the school. What percentage of the students at roosevelt are boys( to the nearest tenth of a percent)?
Answer:
x=175/3
Step-by-step explanation:
700/1200=x/100
Simplify to 7/12
7/12=x/100
Multiply both sides by 100
7/12×100=x
Simplify 7/12 ×100 to 700/12
700/12=x
Simplify 700/12 to 175/3
175/3=x
Switch Sides x=175/3
hope that helps you
To determine the percentage of boys in Roosevelt Middle School, divide the number of boys by the total number of students and multiply by 100. The result is about 58.3% when rounded to the nearest tenth.
Explanation:In order to find the percentage of boys in Roosevelt Middle School, you'll need to take the number of boys and divide it by the total number of students, and then multiply by 100 to get the percentage. So the calculation is as follows:
Number of Boys ÷ Total number of Students × 100 = Percentage of Boys
Substituting the given values:
700 ÷ 1200 × 100 = 58.33
Rounding to the nearest tenth of a percent, we get 58.3%.
Therefore, the percentage of boys at Roosevelt Middle School is approximately 58.3%.
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find the radius of the circle if the center is at 1, 2 and the point -5, 6 lies on the circle
Answer:
The answer is 7.21
Answer:
That’s the answerStep-by-step explanation:
complete the solution of the equation find the value of y when x equals -7. -7x-5y=54
Answer:
Y= -1
Step-by-step explanation:
Final answer:
To find the value of y when x equals -7 in the equation -7x - 5y = 54, substitute -7 for x, simplify the equation, and solve for y. The value of y is -1.
Explanation:
To complete the solution of the equation and find the value of y when x equals -7, we will plug -7 in for x in the equation -7x - 5y = 54.
Here is the step-by-step process:
Substitute x with -7: -7(-7) - 5y = 54.Multiply -7 by -7: 49 - 5y = 54.Subtract 49 from both sides: -5y = 54 - 49.Simplify the equation: -5y = 5.Divide both sides by -5: y = 5 / (-5).Calculate the value of y: y = -1.So, the value of y when x equals -7 is -1.
Help with this question!
Answer:
see below
Step-by-step explanation:
In a right triangle, sin = opposite /hypotenuse
but m is adjacent to the angle, so we need to use cosine
cos = adjacent /hypotenuse
cos 73 = m/9
Multiply each side by 9
9 cos 73 = m
2.631345343 =m
What is half of 7/8?
Answer:
7/16
Step-by-step explanation:
this may be stupid but u can use this way if you want
half of 7 is 3.5 which makes 3.5/8 it should not be a decimal so you can find something equal to 3.5 which gives you 7/16
or this is less stupid but find something equal yo 7/8 that can be divided in half such as 14/16 then divide that in half and you get 7/16
The half of 7/8 is 7/16.
We have given that,
7/8 we have to determine half of 7/8.
What is the fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.
half of 7 is 3.5 which makes 3.5/8 it should not be a decimal so you can find something equal to 3.5 which gives you 7/16.
7/8 that can be divided in half such as 14/16 then divide that in half and you get 7/16.
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Write this in standard notation: 3.812 x 10^7
Answer:
3,8120,000
Step-by-step explanation:
Move the decimal over 7 times to the left. If the exponent was negative you would move the decimal to the right 7 times
What is the quotient of 3 ÷ 2 1/3, reduced to lowest terms?\
Final answer:
To find the quotient of 3 ÷ 2 1/3, convert the mixed number to an improper fraction (7/3), find the reciprocal (3/7), and multiply it by 3 to get 9/7, which is the answer in lowest terms.
Explanation:
The quotient of 3 ÷ 2 1/3 can be found by first converting the mixed number 2 1/3 to an improper fraction. The mixed number 2 1/3 is equal to ⅔, which when summed (2 * 3 + 1), gives us 7/3. To divide by a fraction, you multiply by its reciprocal. Thus, we have 3 × ⅓ (which is 3/7). Multiplying these we get 9/7, which cannot be further simplified. Therefore, the quotient in lowest terms is 9/7.
The quotient of 3 ÷ 2 1/3 is found by converting 2 1/3 to an improper fraction (7/3), taking the reciprocal (3/7), and multiplying it with 3. The result is the fraction 9/7, which is already in lowest terms.
Explanation:To find the quotient of 3 ÷ 2 1/3, we first convert the mixed number to an improper fraction. The mixed number 2 1/3 is equivalent to 7/3 (because 2 × 3 + 1 = 7). To divide by a fraction, we multiply by its reciprocal. Therefore, we need to multiply 3 by the reciprocal of 7/3, which is 3/7.
The multiplication is straightforward: 3 × 3/7. We multiply the numerators (3 × 3) to get 9, and the denominators (1 × 7) to get 7, so we have 9/7. Since 9 and 7 have no common factors other than 1, 9/7 is already in its lowest terms. Thus, the quotient is 9/7 or 1 2/7 when expressed as a mixed number.
Help please need this answer
Answer:
The answer is option A.
True
Hope this helps you
van’s family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 miles in 6 hours. The second day, they drove 250 miles in 5 hours. The third day, they arrived at the park after driving for 3 hours. How many miles did they drive on the third day?
Answer:
150 miles
Step-by-step explanation:
If they drove the same speed throughout the trip, we can find the speed from
d= rt
Solving for r
d/t =r
300 miles/ 6 hours = r
50 miles per hour = rate ( or speed)
On the last day, the drove 3 hours.
d =rt
d = 50 miles per hour * 3 hours
d = 150 miles
mark reduced the size of a photo to a height of 4in. What is the new width if it was originally 16 in tall and 8 in wide
The new width of the photo is 2 inches.
Explanation:To find the new width of the photo, we can use the concept of proportions. Let's set up the proportion:
Original Height / Original Width = Reduced Height / New Width
Plugging in the given values, we have:
16 in / 8 in = 4 in / x
Cross multiplying, we get:
16x = 32
Dividing both sides by 16, we find:
x = 2
So the new width of the photo is 2 inches.
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The function f(x)=5^(x-1) is shown on the coordinate plane. Select from the drop down menus to correctly describe the end behavior of f(x)
Answer: The end behavior of the given function is,
[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]
Step-by-step explanation:
Since, by the property of the graph of the exponential function,
If an exponential function is, [tex]f(x) = ab^x[/tex]
If b >1 ( increasing function ) then its end behavior is,
[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]
While b < 1 ( decreasing function, then its end behavior is,
[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]
Here, given function is, [tex]f(x)=5^{x-1}[/tex]
Since 5 > 1
Therefore, the end behavior of the given function is,
[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]
What is the sum of (8y+2) + (7y+6) ?
Answer:
combine like terms
15y+ 8
If a job pays $45,000 per year, you live in a state where our total tax burden is 22% and you recieve a weekly paycheck, what is your take-home pay from a paycheck?
Final answer:
The weekly take-home pay from a $45,000 annual salary with a 22% total tax burden is approximately $675.00 after taxes.
Explanation:
To calculate the take-home pay from a paycheck when you know the annual salary and the total tax rate, you must first determine the amount of money deducted for taxes and then subtract that from the gross (before-tax) pay. If a job pays $45,000 per year and the total tax burden is 22%, we can find the annual take-home salary and then divide by the number of pay periods per year to get the weekly take-home pay.
First, calculate the total annual taxes: $45,000 * 0.22 = $9,900.
Next, subtract the annual taxes from the annual salary to get the annual take-home salary: $45,000 - $9,900 = $35,100.
Since there are 52 weeks in a year, divide the annual take-home salary by 52 to find the weekly take-home pay: $35,100 / 52 \\approx $675.00.
Therefore, the weekly take-home pay would be approximately $675.00.
The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of x when y = 21?
Answer:
Step-by-step explanation:
The Ratio of y : x equals to 7 : 2. Multyplying both number by three, y equals 21 and x equals 6
Answer:
x=6
Step-by-step explanation:
We can use ratios to solve this. The ratio has to stay constant if they are proportional. Put y in the numerator and x in the denominator.
7 21
----- = ----
2 x
We can solve using cross products.
7*x =2 *21
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
which of the following represents exponential growth?
[tex]y = 2x + 5[/tex]
[tex]y - x = 4[/tex]
[tex]x = 3[/tex]
[tex]y = 5 \times 2^{x} [/tex]
Answer:
y = 5 × [tex]2^{x}[/tex]
Step-by-step explanation:
Exponential growth equations are usually in the form y = a × [tex]b^{x}[/tex].
So, y = 5 × [tex]2^{x}[/tex] is the best fit for that format.
Have a great day!
The exponential growth:
[tex]y=a\cdot b^x[/tex]
Therfore your answer is [tex]y=5\times2^x[/tex]
--------------------------------------------------------
y = 2x + 5 it's a linear function in slope-intercept form
y - x = 4 → -x + y = 4 it's a linear function in standard form
x = 3 it's a vertical line
How many liters of 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 70% solution
Answer:
24 liters of 20% alcohol
Step-by-step explanation:
Two jackets have a combined cost of $98. Jacket A costs 12 less than Jacket B. How much doea each jacket cost?
Let n stand for the cost of Jacket A
Equation:____
Jacket A costs____
Jacket B costs_____
Answer:
Jacket A would be $86 and
Jacket B would be $12.. You would add them together and get the $98..
Step-by-step explanation:
Answer:
Equation:
xᵃ + xᵇ= 98
xᵃ=xᵇ-12
Jacket A costs $43
Jacket B costs $55
Step-by-step explanation:
We have 2 equations
Knowing
xᵃ= cost of jacket A
xᵇ= cost of jacket A
xᵃ + xᵇ= 98
xᵃ=xᵇ-12
If we replace xᵃ in the first equation
xᵇ-12 + xᵇ= 98
2xᵇ-12= 98
2xᵇ=98+12=110
xᵇ=110/2=55
xᵇ=55
xᵃ=xᵇ-12
xᵃ=43