1 fence panel required 8 wooden slates and 8 fence panels required 64 wooden slates.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Wooden slates required to make 4 fence panels = 32
To find wooden required to make 1 panel, use ratio property,
4 fence panels = 32 wooden slates
1 fence panel = 8 wooden slates
Also, to find wooden required to make 8 panels, use ratio property,
4 fence panels = 32 wooden slates
8 fence panels = 64 wooden slates
1 fence panel required 8 wooden slates and 8 fence panels required 64 wooden slates.
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Final answer:
Gerard needs 64 slats to make 8 panels, as it is a proportional relationship.
Explanation:
To find out how many slats are needed for one panel, we simply divide the total number of slats by the number of panels. Since a builder uses 32 slats to make 4 panels, for one panel, Fatima would need:
Number of slats for one panel = Total number of slats \/ Number of panels
Number of slats for one panel = 32 / 4 = 8 slats
For Gerard's question, if 1 panel requires 8 slats, then to make 8 panels he would need:
Number of slats for 8 panels = Slats per panel x Number of panels
Number of slats for 8 panels = 8 x 8 = 64 slats
It's a straightforward example of a proportional relationship in mathematics, where the number of slats scales directly with the number of fence panels.
Need answer ASAP! I only have two questions left!!!
What is the name of an interior angle of a triangle that shares a side and a vertex with an exterior angle of the triangle?
A) exterior angle
B) adjacent interior angle
C) remote interior angle
D) alternate interior angle
Answer: B) Adjacent interior angle
As the name implies, the angle is inside the triangle and it is adjacent (ie next to) the exterior angle. Contrast this with a remote interior angle, which is also inside the triangle, but it is not adjacent to the exterior angle in question. Alternate interior angles won't apply here because we don't have a set of parallel lines with a transversal cut.
Help me please !!Algebra Two!!
Answer:
The zeros of a graph form the factors of the function. When we multiply the factors out and add the exponents up in the final function, we have the highest exponent known as the degree.
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity. Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial. The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.Adam bought A new pair of baseball cleats for $65 the sales tax is 5.5% what is the total cost in dollars that Adam will pay
Adam's cleats cost $65 and the sales tax is 5.5%. The sales tax amount is calculated by multiplying the price by the tax rate. The total cost is the sum of the initial price and the sales tax which is approximately $68.58.
Explanation:Adam is buying a new pair of baseball cleats for $65 and the sales tax is 5.5%. To find the total cost, we must find out the cost of the sales tax first. The sales tax can be calculated by multiplying the cost of the cleats by the sales tax percentage (in decimal form).
So, $65 * 0.055 = $3.575 is the tax amount. This means the sales tax on the cleats is $3.575.
The total cost Adam needs to pay is the sum of the cost of the cleats and the sales tax. Hence, $65 + $3.575 = $68.575. Therefore, the total cost that Adam will pay is approximately $68.58, because we usually round the money amount to the nearest cent.
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Rob is saving to buy a new mp3 player.For every $15 he earns babysitting,he saved $6.On Sunday,Rob earned $75 babysitting.How much money did he save?
Ok so first of all, Why does rob need a mp3 player? we are in the new age, right?
Secondly, I will answer your question :P
Ok so we have some info here .... we know that Rob earns $15 and saves $6
We can assume that Rob earning's equation would be y = 15x-6x
We are also given that he earned $75 (My gosh Rob nice work man!)
we would plug in 75 for y >>>for now forget the fact that Rob saves<<<
Divide 75 by 15 which = 5
Now multiply 6 by 5 which = 30 (AnSWERR!)
We now also know that out of what Rob earned he used or donated to charity $75-30 = $ 45
We can double check our work here real quick
[tex]45=15x-6x\\45=(15*5)-(6*5)\\45= 75 - 30 \\45 = 45 true[/tex]
For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. (2 points)
The vertex is (-1, 4), the domain is all real numbers, and the range is y ≥ 4.
The vertex is (-1, 4), the domain is all real numbers, and the range is y ≤ 4.
The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4.
The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.
Answer:
The second choice.
Step-by-step explanation:
f(x) = -(x + 1)^2 + 4
This is a parabola which opens downwards ( because the coefficient of x is negative).
This is the vertex form of a parabola: f(x) = a(x - b)^2 + c where the vertex is at (b, c). So in this case:-
The vertex is at (-1, 4).
The domain is All Real Numbers and the Range is (-∞, 4] (or y ≤ 4)
Answer:
The vertex is (-1, 4), the domain is all real numbers, and the range is y ≤ 4.
If (2-square root of 3 ) is a root of a polynomial with integer coefficients which of the follow must be another root
A.square root of 3-2
B.3-square root of 2
C.2 + square root of 3
D.2 -square root of 3
[tex]\text{If k and l are the roots of a polynomial w(x), then}\ w(x)=a(x-k)(x-l).[/tex]
[tex](2-\sqrt3)-a\ root\ of\ a\ polynomial\\\\another\ root\ must\ be\ C.\ (2+\sqrt3),\ because\\\\\ [x-(2-\sqrt3)][x-(2+\sqrt3)]=(x-2+\sqrt3)(x-2-\sqrt3)\\\\=[(x-2)+\sqrt3][(x-2)-\sqrt3]\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=(x-2)^2-(\sqrt3)^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=x^2-2(x)(2)+2^2-3=x^2-4x+4-3=x^2-4x+1[/tex]
[tex]Answer:\ \boxed{C.\ (2+\sqrt3)}[/tex]
The correct answer to the question is therefore C. 2 + square root of 3.
If (2 - square root of 3) is a root of a polynomial with integer coefficients, the polynomial must have another root that is the conjugate of (2 - square root of 3), which is (2 + square root of 3). This is due to the Conjugate Root Theorem, which is a result of the fact that the coefficients of the polynomial are real numbers. When you have a non-real root in such a polynomial, its conjugate will also be a root.
The correct answer to the question is therefore C. 2 + square root of 3.
The minute hand of a clock is 8 inches long. How far does the tip of the minute hand move in 30 minutes? How far does it move in 20 minutes?
Answer:
In 30 minutes:
The minute hand moves a distance of 25.13 inches
In 20 minutes:
The minute hand moves a distance of 16.76 inches
Step-by-step explanation:
When 60 minutes are completed, the minute hand of the relog makes a complete revolution. The distance s that the minute hand travels when making a complete revolution is:
[tex]s = 2\pi r[/tex] Where r is the radius of the circumference, and in this case, the radius of the minute hand.
So:
[tex]s = 16 \pi[/tex]
s = 50.27 inches.
In 30 minutes (which is half of 60) the minute hand covers only half a revolution. Then the distance traveled in 30 minutes is [tex]\frac{1}{2}(s) = 25.13[/tex] inches
In 20 minutes (which is one third of 60) the minute hand only travels a third of a complete revolution. Then the distance traveled in 20 minutes is [tex]\frac{1}{3}(s) = 16.76[/tex] inches
We calculate the distance traveled by the minute hand of a clock by using the arc length formula from geometry. Using the length of the hand as the radius and the angle covered as a fraction of 360 degrees (converted into radians), we can determine the distances for 30 and 20 minutes as 8π inches and 16/3 π inches respectively.
Explanation:The subject of our question involves the calculation of arc lengths (distances) moved by a clock hand, an aspect of geometry. We'll be treating the minute hand of a clock as a line segment that sweeps out a circular path. The arc length formula will be utilized here, which is given by the equation L = rθ, where L is the arc length, r is the length of the minute hand (as the radius), and θ is the angle covered by the minute hand.
In a span of a whole hour or 60 minutes, the minute hand completes a full 360° circle. So, for 30 minutes, it covers half the circle which equates to 180°. This degree measure needs to be converted to radians because our formula uses radian measure. 180° equals π radians.
With r = 8 inches and θ = π, we substitute these values into our formula to get L = 8π inches for 30 minutes.
The same concept applies for 20 minutes. In this case, the hand covers a third of the circle which is (360/3)=120°, this is (2/3)π in radian. Substituting r = 8 inches and θ = (2/3)π into our formula, we get L = 16/3 π inches for 20 minutes.
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The expression a = 3b2 + 2 can be written in words as: the quantity a is equal to
A. three times the quantity two plus b squared.
B. two plus the square root of three 3 b.
C. two more than three times the quantity b squared.
D. three times the square root of b plus two.
Answer: The answer to complete the sentence should be D).
Answer:
C
Step-by-step explanation:
3 times the quantity b squared is 3b^2
Two more = 3b^2 + 2
Can someone please help me with this question? Thanks if you!
Answer:
the answer is C
Write a quadratic equation with the given roots. write the equation in the form ax2+bx+c=0 where a,b, and c are integers -1/4 and 8
Answer:
y = 4x^2 -31x -8
Step-by-step explanation:
The roots tell you that (x +1/4) and (x -8) will be factors. We can eliminate the fraction by multiplying that factor by 4. Then our polynomial with integer coefficients is ...
(4x +1)(x -8) = 4x^2 -31x -8
As an equation, this could be ...
y = 4x^2 -31x -8
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9t^2 + 202t + 318 .
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after____seconds.
How high above sea-level does the rocket get at its peak?
The rocket peaks at____meters above sea-level
The rocket splashes down after 43 seconds.
The rocket peaks at 2400. meters above sea-level.
Step-by-step explanation: For the time taken before the splashStep 1
We realise that the rocket will hit the ground when our function [tex]h(t)=0[/tex] , i.e [tex]-4.9t^2+202t+318=0.[/tex]
Step 2
Use the quadratic formula to solve for the time. For the general quadratic equation [tex]at^2+bt+c=0[/tex], the general solution to the equation is
[tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a} .[/tex]
In our case, the quadratic equation [tex]h(t)=-4.9t^2+202t+318=0[/tex] has a solution
[tex]t=\frac{-202\pm\sqrt{202^2-4((-4.9)(318))}}{2(-4.9)} \\t=-1.52,t=42.74.[/tex]
Step 3
In this step we pick the value of [tex]t[/tex] that makes physical sense. Since the NASA team launced the rocket at [tex]t=0[/tex], the rocket reaches the bottom when [tex]t=42.74[/tex]. This can be rounded up to [tex]43[/tex] seconds.
For the maximum height of the rocket above sea levelStep 1
The first step is to realist that since the coefficient of the quadratic term is negative, the graph of this function will face downwards. From this we can gather that the maximum value of this function occurs at the vertex.
Step 2
In this step we calculate the t coordinate of the of the vertex of this function. For any quadratic equation [tex]h(t)=at^2+bt+c[/tex] , the vertex occurs when ,
[tex]t=-\frac{b}{2a}.[/tex]
For the equation [tex]h(t)=-4.9t^2+202t+318[/tex] , the vertex occurs when ,
[tex]t=-\frac{202}{2(-4.9)}=20.61.[/tex]
Step 3
We substitute the value of [tex]t[/tex] from step 2 above into [tex]h(t)[/tex] to get the maximum value of this function. This calculation is shown below,
[tex]h(20.61)=-4.9(20.61)^2+202(20.61)+318=2399.84m.[/tex]
This can be rounded up to 2400m.
PLEASE PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Which equation, in point-slope form, represents a line with m = -1/2 that goes through the origin?
A. Y = 1/2x
B. Y = -1/2x
C. Y + 1 = -1/2(X + 1)
D. Y - 1 = -1/2(X - 1)
IS THE ANSWER B?
Answer:
B. y = -1/2x
Step-by-step explanation:
Because the answer is in point-slope intercept form, we know -1/2 is m. Also, because the equation is setting y equal to x, we know it goes through the origin.
whats the answer to this question????????????HELP ANYONE!!
Answer:
C.) 768
Step-by-step explanation:
You first solve for the slope, or rate of change, which is 1128. Then you just add 256 to 512 because you are going from gallons equals 4 to gallons equals 6. That gives you 768 for the fluid ounces.
Find the conjugate of -2 + 3i.
Answer:
- 2 - 3i
Step-by-step explanation:
given a complex number a + bi
then the conjugate is a - bi
The real part a remains unchanged while the sign of the imaginary part is reversed.
the conjugate of - 2 + 3i is - 2 - 3i
using the polygon angle sum theorem, find x in the graphic above
A) 720°
B) 80°
C)100°
D)120°
Answer:
D) 120
Step-by-step explanation:
720- 135-115-110-140-100=120
Would you expect the probability for the simple event "rolling a 6" to be greater than or less thanthe probabilty of the event "rolling a 6 and getting heads on a coin"? Explain
Answer:
just rolling the dice on a 6 would be just fine bby.
Step-by-step explanation:
Rolling a 6 on a dice = 1/6 or 0.16 chance
rolling a 6 and getting heads on the coin = 1/6x1/2= 1/12 or 0.083 chance
Poppy, felix and alexi sell 700 raffle tickets between them. Poppy sells twice as many tickets as felix, and alexi sells 25 mor tickets tan poppy. How many tickets did each of them sell.
Joan has a prescription for 100 Theophylline capsules. Joan informs the pharmacist that she only has enough money to purchase ¼ of the prescription today. How many capsules will Joan pay for today?
Answer:
25 capsules.
Step-by-step explanation:
We are told that Joan has a prescription for 100 Theophylline capsules. Joan informs the pharmacist that she only has enough money to purchase ¼ of the prescription today.
To find the number of capsules that Joan will pay for today, we will find 1/4 of 100.
[tex]\text{The number of capsules that Joan will pay for today}=\frac{1}{4}\times 100[/tex]
[tex]\text{The number of capsules that Joan will pay for today}=25[/tex]
Therefore, Joan will pay for 25 capsules today.
JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake?
The total cost of the meal is $8. A 15% tip on this amount is $1.20.
Explanation:The total cost of the meal is the cost of the cheeseburger ($5.50) plus the cost of the milkshake ($2.50), giving a total of $8. To calculate a 15% tip, we multiply the total cost by 0.15. So, JJ should leave a tip of $8 * 0.15 = $1.20.
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pls help im bad at math 50 pts an brain crown .-.
Part A. You purchase a car using a $23,000 loan with a 3.5% simple interest rate. Suppose you pay the loan off after 5 years. How much interest do you pay on your loan? Use the formula: I = Prt; I = Interest earned, P = Principal, r = rate, t = time. Show your work.
Part B. You purchase a car using a $23,000 loan with a 3.5% simple interest rate. Suppose you pay the loan off after 3 years. How much interest do you pay on your loan?
Use the formula: I = Prt; I = Interest earned, P = Principal, r = rate, t = time. Show your work.
Part C. How much interest do you save by paying the loan off in 3 years compared to 5 years? Show your work.
Answer:
A $4025
B $2415
C $1610
Step-by-step explanation:
Part A
I=PRT
I = 23000* .035 * 5
= 4025
You will pay $4025
Part B
I =PRT
= 23000 *.035 * 3
= 2415
You will pay $2415
Part C
Take the amount from Part A and subtract The amount from Part B and that is the amount you will save.
4025-2415=1610
A $4025
B $2415
C $1610
Step-by-step explanation:
Part A
I=PRT
I = 23000* .035 * 5
= 4025
You will pay $4025
Part B
I =PRT
= 23000 *.035 * 3
= 2415
You will pay $2415
Part C
Take the amount from Part A and subtract The amount from Part B and that is the amount you will save.
4025-2415=1610
(-2 1/3 to the third power) divided by (1 7/8)
Answer:
-2744/405
Step-by-step explanation:
Answer:
-6 314/405
Step-by-step explanation:
( -2 1/3)^3 / (1 7/8)
I am going to change the mixed numbers to improper fractions
2 1/3 = (3*2 +1)/3 = 7/3
1 7/8 = (8*1+7)/8 = 15/8
( -7/3)^3 / (15/8)
I will use copy dot flip
( -7/3)^3 * (8/15)
Now I can split the first term into parts (a/b)^x = a^x/ b^x
(-7)^3/ 3^3 *8/15
-343/27 * 8/15
-2744/405
Now we need to change it back to a mixed number
405 goes into 2744 6 times
6*405 =2430 2744-2430 = 314
-6 314/405
Jess has dinner at a restaurant. The dinner bill is B dollars. She pays a 21% tip. Match the expressions to their correct meanings for Jess. Here are the possible answers Jess's bill amount without tip:Jess's tip amount:Jess's total amount: ????B+0.21; B; 2.1B; B/0.21B; 0.21BNot all the answers will be used Please I need help Right away.?
Answer:
Jess's bill amount without tip: B
Jess's tip amount: 0.21B.
Jess's total bill amount: [tex]B+0.21B[/tex]
Step-by-step explanation:
We have been given that Jess has dinner at a restaurant. The dinner bill is B dollars. So the Jess's bill amount without tip will be B dollars.
We are told that she pays a 21% tip. Let us find 21% tip of dinner bill (B).
[tex]\text{Jess's tip amount}=\frac{21}{100}*B[/tex]
[tex]\text{Jess's tip amoun}=0.21B[/tex]
Therefore, Jess's tip amount will be [tex]0.21B[/tex].
Let us find total amount of Jess's bill by adding bill amount (0.21B) to the Jess's bill amount without tip (B).
[tex]\text{Total amount of Jess's bill}=B+0.21B[/tex]
Therefore, the total amount of Jess's bill will be [tex]B+0.21B[/tex].
Jess's bill without tip is B, her tip amount is 0.21B, and her total bill including a 21% tip is 1.21B.
When Jess has dinner at a restaurant with a dinner bill of B dollars and decides to pay a 21% tip, you can calculate her expenditures in the following manner:
Jess's bill amount without tip: This is simply the original amount of the bill, which is B dollars.Jess's tip amount: To calculate the tip, you convert the percentage to a decimal by dividing by 100 (21% = 0.21) and then multiply by the bill amount. The expression for the tip amount is 0.21B.Jess's total amount: To find the total amount Jess pays, you add the original bill amount to the tip amount, resulting in the expression B + 0.21B. This simplifies to 1.21B because you combine like terms.Therefore, the expressions that match their correct meanings for Jess are as follows: Jess's bill amount without tip: B, Jess's tip amount: 0.21B, Jess's total amount: 1.21B.
Determine whether 81 − 49n4 is a difference of two squares. If so, factor it. If not, explain why.
A (9 − 7n^4)(9 + 7n^4)
B Not a difference of squares because −49n^4 is not a perfect square.
C (9 − 7n^2)(9 − 7n^2)
D (9 + 7n^2 )(9 − 7n^2 )
We have
[tex]81-49n^4=9^2-(7n^2)^2[/tex]
so this is indeed a difference of squares. Factorizing would give
[tex]81-49n^4=(9-7n^2)(9+7n^2)[/tex]
making the answer D.
We can further factor the first term here and write
[tex]9-7n^2=3^2-(\sqrt 7\,n)^2=(3-\sqrt7\,n)(3+\sqrt7\,n)[/tex]
but that's clearly out of the scope of this question.
Answer:
D is the answer
Simplify ((–3)^2)^3.
A. (–3)^6
B. (–3)^5
C. (3)^5
D. (3)^6
A postman has to deliver 450 letters . The number of letters delivered in one street is twice the number delivired in other . If he is left with 120 letters , then find the number of letters deliveired in the first street
Answer:
The number of letters in the one street be 220 .
Step-by-step explanation:
As given
A postman has to deliver 450 letters .
The number of letters delivered in one street is twice the number delivered in other .
Let us assume that the number of letters delivered in second street be x.
Let us assume that the number of letters delivered in first street = 2x
As given
If he is left with 120 letters .
Thus
The number of letter delivered in one and other street = 450 - 120
= 330
Than the equation becomes
x + 2x = 330
3x = 330
[tex]x = \frac{330}{3}[/tex]
x = 110
The number of letters in the one street = 2 × 110
= 220
Therefore the number of letters delivered in first street be 220.
The postman delivered 110 letters to the first street and 220 letters to the second street
Explanation:This is a problem of simple algebra where you have to solve for unknowns. We know the postman has 450 letters in total, and 120 are left after delivering to two streets. So, the total number of letters he delivered is 450 - 120 = 330 letters.
Let’s say the number of letters delivered in one street is x. Therefore, the number of letters delivered in the other street would be 2x because it's twice the number delivered in the first street.
Since the postman delivered all 330 letters in two streets, the equation becomes x + 2x = 330. Simplifying this we get 3x = 330. Then, solve for x by dividing both sides by 3, so x = 330 / 3 = 110.
Therefore, the number of letters delivered in the first street is x = 110, and in the second street it's 2x = 2*110 = 220.
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Let x = 2. Evaluate the expression. x + 4/3x
When x = 2, the expression evaluates to -442/3.
To evaluate the expression when x = 2, we substitute 2 for x in the expression:
x + 4/(3x) - 150
Now, we plug in the value of x:
2 + 4/(3 * 2) - 150
First, we simplify the denominator:
2 + 4/6 - 150
Now, simplify the fraction:
2 + 2/3 - 150
Next, we need to find a common denominator, which in this case is 3:
(3 * 2)/3 + 2/3 - 150
Now, add the fractions with the common denominator:
(6/3) + (2/3) - 150
Combine the fractions:
(6 + 2)/3 - 150
Now, perform the addition in the numerator:
8/3 - 150
To subtract a fraction from a whole number, we need a common denominator. In this case, it's 3:
(8/3) - (150 * 3/3)
Now, subtract:
8/3 - 450/3
Subtract the numerators:
(8 - 450)/3
Now, perform the subtraction in the numerator:
-442/3
So, when x = 2, the value of the expression x + 4/(3x) - 150 is -442/3.
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Trudy is starting a comic book collection. Let Cn represent the number of comic books that Trudy has after n weeks. The recursive relationship below represents Trudy's comic book collection.
C1 = 5
Cn + 1 = Cn + 2
Part A:
Write an explicit formula for Cn .
Part B:
Determine the number of comic books in Trudy's collection after 10 weeks. Explain how you determined your answer.
Answer:
(A)
[tex]C_n=3+2n[/tex]
(B)
[tex]C_1_0=23[/tex]
Step-by-step explanation:
(A)
we are given
[tex]C_n_+_1=C_n+2[/tex]
[tex]C_1=5[/tex]
Firstly, we will find few terms
[tex]C_2=C_1+2[/tex]
[tex]C_2=5+2[/tex]
[tex]C_2=7[/tex]
[tex]C_3=C_2+2[/tex]
[tex]C_3=7+2[/tex]
[tex]C_3=9[/tex]
[tex]C_4=C_3+2[/tex]
[tex]C_4=9+2[/tex]
[tex]C_4=11[/tex]
so, we will get terms as
5, 7 , 9 , 11
we can see that this is arithematic sequence
First term =5
common difference =d=7-5=2
now, we can use nth term formula
[tex]C_n=C_1+(n-1)d[/tex]
now, we can plug values
[tex]C_n=5+2(n-1)[/tex]
[tex]C_n=5+2n-2[/tex]
[tex]C_n=3+2n[/tex]
(B)
we can plug n=10
[tex]C_1_0=3+2\times 10[/tex]
[tex]C_1_0=23[/tex]
need help asap will give brain and all non helpful answers will be reported
Answer:
Local max is .5
Step-by-step explanation:
The local maximum is for x values between 2 and 4
It looks like the x value is 2.5 and the y value is .5
A father is 60 yrs old son is half his age .How old was the boy when his father was four times his age
Which functions are even? Select all that apply
Answer:
The even functions are options 2, 3, and 5
Step-by-step explanation:
Please, see the attached file.
Thanks.