Answer:
Expenses for purchasing is $245 ,Revenue $479 and Total profit $ 234
Step-by-step explanation:
Cost of two blouses = 2× 25 = $50
Revenue from blouses = 2× 38 = $76
Profit of blouses = 76- 50 = $26
Similarly cost of 3 skirts = 3×15 = $45
Revenue from Skirts = 3×26 =$78
Profit from skirts = 78-45 =$33
Now cost price of pants = 5×30 =$150
Revenue from Pants = 5×65 =$325
Profit from pants = 325-150 = $175
So Jayla's expenses for purchasing = 50+45+150
= $245
Revenue = 76+78+325
= $479
Total Profit = 479 -245
= $234
Jayla's total expenses were $245, she made $479 in revenue through sales, making her resultant profit $234. This is calculated by subtracting the total expenses from the total revenue.
Explanation:The subject of this problem deals with the concepts of expenses, revenues, and profit in a small business setting. Jayla spent $50 on the blouses (2 x $25), $45 on the skirts (3 x $15), and $150 on the pants (5 x $30), adding up to a total expense of $245. She sold these items for total revenues of $76 for the blouses (2 x $38), $78 for the skirts (3 x $26), and $325 for the pants (5 x $65), giving her a total revenue of $479. The total profit can be calculated by subtracting the total expenses from the total revenue, and therefore, Jayla made a profit of $234 ($479 - $245).
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Point A of the vector from the origin represents a complex number plotted on the complex plane. Which point represents the product of the complex number and -1?
Multiplying a complex number by -1 flips it across the origin on the complex plane, changing its direction by 180 degrees but not its magnitude, resulting in a point directly opposite to the initial position.
Explanation:The question asks about the effect of multiplying a complex number by -1 in the complex plane. Multiplying a complex number by -1 essentially flips the point representing the complex number across the origin. If Point A represents a complex number on the complex plane, multiplying that complex number by -1 will result in a point that lies exactly opposite of Point A with respect to the origin. This operation does not change the magnitude of the complex number but changes its direction by 180 degrees. This is because the complex plane is analogous to a two-dimensional Cartesian coordinate system where complex numbers are represented as vectors. The multiplication by -1 is a reflection across the origin in such a plane.
For example, if a complex number z is represented by the point (a, b) where a is the real part and b is the imaginary part, then multiplying z by -1 gives us the point (-a, -b). This operation is similar to rotating the vector z 180 degrees around the origin or mirroring it across both the x and y axes.
In parallelogram ABCD , diagonals AC ? ? ? ? ? and BD ? ? ? ? ? intersect at point E, AE= x 2 ?16 , and CE=6x . What is AC ? Enter your answer in the box.
Answer:
Length of AC = 48 units.
Step-by-step explanation:
Given in parallelogram ABCD , diagonals AC and B intersects at a point E.
Length of AE = [tex]x^2-16[/tex] units and CE = 6x.
We have to find the length of AC.
According to the property of parallelogram:
Diagonals are intersecting each other at their midpoint.
Since, E is the midpoint AC ;
so, AE = CE
[tex]x^2-16[/tex] =6x
or we can write this as;
[tex]x^2-6x-16[/tex]=0
[tex]x^2-8x+2x-16[/tex]=0
[tex]x(x-8)+2(x-8)[/tex]=0
[tex](x-8)(x+2)[/tex] = 0
Zero product property states that if ab = 0 , then either a=0 or b =0.
By zero product property, we have;
(x-8) = 0 and (x+2) = 0
x = 8 and x = -2
Since, length x cannot be negative so we ignore x = -2.
then;
x = 8
AC = [tex]x^2-16[/tex] = [tex]8^2 -16 = 64- 16 =48[/tex] units.
Therefore, the length of AC = 48 units.
Answer:
I just took the test and got the answer AC=96.
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
Option B is correct.
By ASA rule are these triangles are congruent
Step-by-step explanation:
In triangle JMK and triangle JMN
[tex]\angle KJM \cong \angle NJK[/tex] [Angle] [Given]
[tex]JM \cong JM[/tex] [Common Side]
[tex]\angle JMK \cong \angle JMN [/tex] [Angle]
ASA(Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then these triangles are congruent.
then, by ASA theorem;
[tex]\triangle JMK \cong \triangle JMN[/tex]
Therefore, by ASA rule are these triangles are congruent.
The rules AAS, ASA, SAS, SSS are a set of criteria that can determine if two triangles are congruent. They need accurate measurements of angles and sides of the triangles to be applied. Without these specifics, it's hard to identify which rule applies.
Explanation:In order to answer which rule makes the triangles congruent, we would need more specific information about these triangles, such as the measures of their angles and sides. However, let me explain what each of these rules represents:
AAS (Angle-Angle-Side): Two triangles are congruent if two pairs of corresponding angles and a non-included side are congruent.ASA (Angle-Side-Angle): If two pairs of corresponding angles and the included side are congruent, the triangles are congruent.SAS (Side-Angle-Side): Two triangles are congruent if two pairs of corresponding sides and the included angle are congruent.SSS (Side-Side-Side): If all three pairs of corresponding sides in two triangles are congruent, the triangles are congruent.Without specific information about your triangles, it's difficult to conclusively establish which rule applies.
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Which expression is equivalent to the given expression after using the distributive property? 9(x+3)+15x
The correct answer is option a.[tex]\(9 \cdot x + 9 \cdot 3 + 15x\)[/tex].
The correct option is (a).
To use the distributive property to simplify the expression (9(x+3) + 15x), we need to distribute the terms outside the parentheses to each term inside the parentheses.
The given expression is [tex]\(9(x+3) + 15x\)[/tex].
1. Distribute 9 to (x) and (3):
[tex]\[ 9(x+3) = 9 \times x + 9 \times 3 \][/tex]
2. Distribute 15 to (x):
[tex]\[ 15x \][/tex]
So, after using the distributive property, the expression becomes:
[tex]\[ 9 \cdot x + 9 \cdot 3 + 15x \][/tex]
Now, let's compare this with the options:
a. [tex]\(9 \cdot x + 9 \cdot 3 + 15x\)[/tex] - This matches our result.
b. [tex]\(9(x+3+15)x\)[/tex] - This option seems incorrect as it doesn't distribute 9 to each term inside the parentheses correctly.
c. [tex]\(9:x+3+15x\)[/tex] - This option doesn't seem to use the distributive property correctly.
d. [tex]\(9x+9 \cdot 3+9 \cdot 15x\)[/tex] - This option distributes 9 correctly but includes an extra term (9x) that doesn't appear in the original expression.
Therefore, the correct answer is option a.[tex]\(9 \cdot x + 9 \cdot 3 + 15x\)[/tex].
Which expression is equivalent to the given expression after using the distributive property? 9(x+3)+15x
a.9· x+9· 3+15x
b.9(x+3+15)x
c.9: x+3+15x
d.9 x+9· 3+9· 15x
Answer:
24x + 15
Step-by-step explanation:
9(x+3)+15x
Use the distributive property.
9*x +9*3 + 15x
9x + 15 + 15x
Combine the like terms.
24x + 15
Please help me!!!!!!!!!!!!!
The total number of observations is
2+9+16+12+8+6+4+2+1=60
The first five counts refer to 0 to four cars:
2+9+16+12+8=47
The probability is the fraction less than five,
p= 47/60 = 0.783333...
Answer: 78%
Answer:
59%
Step-by-step explanation:
First let us work out the total number of cars waiting in the given period.
= 0 *2 + 1*9 + 2*16 + 3*12 + 4*8 + 5*6 + 6*4+7*2+8*1
= 185
Now the number when there are less than 5 cars in line ( that is when there are 0 - 4 cars in line) =
0*2 + 1*9 + 2*16 +3*12+4*8
= 109
Thus the required probability = 109/185
= 0.589
= 59% (answer)
Lina took out a 4-year loan for $14,000 to buy a new car. She has to pay 4% simple interest on the loan. How much will Lina have paid in all after the four years?
Ryan is 14. Her brothers age is three more than half her age. How old is your brother?
Answer: 10
Step-by-step explanation:
A watermelon at the grocery store weighs 4.5 kg. How much does the watermelon weigh in pounds and ounces?
Answer: 4.5kg = 9.9208lbs
4.5kg = 158.733oz
The watermelon weighs approximately 4.5 kg, which can be converted to pounds and ounces by using the conversion factors. It is approximately 9 pounds and 15 ounces after conversion.
Explanation:A watermelon at the grocery store weighs 4.5 kg. To convert this weight into pounds and ounces, we can use the fact that 1 kg is equivalent to 2.205 pounds (lb) and 1 pound equals 16 ounces.
First, let's find out how much the watermelon weighs in pounds:
Multiply the weight of the watermelon in kilograms (4.5 kg) by the conversion factor (2.205).4.5 kg × 2.205 lb/kg = 9.9225 pounds.Since we want the weight in pounds and ounces, we'll convert the decimal part of the pounds to ounces:
The whole number part is the pounds, so we have 9 pounds.To find the ounces, take the decimal part (0.9225) and multiply it by 16 ounces per pound (0.9225 × 16 oz).0.9225 × 16 oz = 14.76 ounces.Therefore, the watermelon weighs approximately 9 pounds and 15 ounces (rounding 14.76 ounces to the nearest whole number).
Please Help!! Urgent ( Zoom in to see it better)
1. You are trying to isolate "F" in the equation
[tex]C=\frac{5}{9}(F-32)[/tex] Multiply 9/5 on both sides
[tex](\frac{9}{5})C=(\frac{9}{5}) \frac{5}{9} (F-32)[/tex]
[tex]\frac{9}{5}C=F-32[/tex] Add 32 on both sides
[tex]\frac{9}{5}C+32=F-32+32[/tex]
[tex]\frac{9}{5}C+32=F[/tex]
THIS IS WRONG
2. You are trying to isolate "y" in the equation
[tex]m=\frac{x+y+z}{3}[/tex] Multiply 3 on both sides
3m = x + y + z Subtract x and z on both sides
3m - x - z = y
THIS IS CORRECT
3. Isolate "r"
[tex]s=\frac{r}{r-1}[/tex] Multiply (r - 1) on both sides
s(r - 1) = r Distribute s into (r - 1)
sr - s = r Subtract sr on both sides
-s = r - sr Factor out r from (r - sr)
-s = r(1 - s) Divide (1 - s) on both sides
[tex]\frac{-s}{1-s}=r[/tex]
THIS IS WRONG
4. Isolate "b"
[tex]A=\frac{1}{2}(a+b)[/tex] Multiply 2 on both sides
2A = a + b Subtract a on both sides
2A - a = b
THIS IS CORRECT
5. Isolate "y"
[tex]m=\frac{x+y}{2}[/tex] Multiply 2 on both sides
2m = x + y Subtract x on both sides
2m - x = y
THIS IS WRONG
The 2nd and 4th one is right
Answer:
. You are trying to isolate "F" in the equation
Multiply 9/5 on both sides
Add 32 on both sides
THIS IS WRONG
2. You are trying to isolate "y" in the equation
Multiply 3 on both sides
3m = x + y + z Subtract x and z on both sides
3m - x - z = y
THIS IS CORRECT
3. Isolate "r"
Multiply (r - 1) on both sides
s(r - 1) = r Distribute s into (r - 1)
sr - s = r Subtract sr on both sides
-s = r - sr Factor out r from (r - sr)
-s = r(1 - s) Divide (1 - s) on both sides
THIS IS WRONG
4. Isolate "b"
Multiply 2 on both sides
2A = a + b Subtract a on both sides
2A - a = b
THIS IS CORRECT
5. Isolate "y"
Multiply 2 on both sides
2m = x + y Subtract x on both sides
2m - x = y
THIS IS WRONG
The 2nd and 4th one is right
Step-by-step explanation:
Calculate s50 for the arithmetic sequence defined by
Answer:
617.5
Step-by-step explanation:
If you expand the series by putting in [tex]n=1,n=2,n=3...[/tex] values, you will see:
Put 1 in [tex]n[/tex], [tex]71-2.3(1)=68.7[/tex]Put 2 in [tex]n[/tex], [tex]71-2.3(2)=66.4[/tex]Put 3 in [tex]n[/tex], [tex]71-2.3(3)=64.1[/tex]68.7, 66.4, 64.1, ....
To find common difference (d) (difference in a term and its previous term) we take any term and subtract from it the term before it:
[tex]66.4-68.7=-2.3[/tex]
The sum of arithmetic series formula is:
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex]
Where,
[tex]S_{n}[/tex] is the sum of nth terma is the first term (in our case it is 68.7)n is the term number (in our case we want to find 50th sum, so n = 50)d is the common difference (in our case it is -2.3)Substituting these values, we get:
[tex]S_{50}=\frac{50}{2}[2(68.7)+(50-1)(-2.3)]\\S_{50}=25[137.4+(49)(-2.3)]\\S_{50}=25[24.7]\\S_{50}=617.5[/tex]
Last answer choice is right.
Answer: D. 617.5 hope that helps !
7. Which of the following is false? A none, since all of the other answer choices are true B the cost to mail an envelope and the weight of the envelope is a positive correlation C a child's age and a child's shoe size is a positive correlation D the graduation rate in a city and the rate of unemployment in a city is a positive correlation
Answer:
Both A and D are false
Step-by-step explanation:
We expect lower academic performance when unemployment is high, so a lower graduation rate. Dropouts—those who don't graduate—tend to have a higher unemployment rate, so there is cause/effect working in both directions. Thus graduation rate and unemployment would be negatively correlated. (One study showed the correlation coefficient to be about -0.11.)
Because D is false, A is also false.
The fourth grade students at Riverside School are going on a field trip. There are 68 students from each of the four buses. How many students are going on the field trip?
Answer:
There are 272 students going on the field trip.
Step-by-step explanation:
68 students on each bus. 4 busses. 68 x 4 = 272
Answer:
The answer is 272 students.
Step-by-step explanation:
1. First, I looked at how many students and buses are there.
2. I looked at the question, "How many students are going on the field trip?"
3. Next, I will multiply the number of students on each bus by the number of buses on there.
4. 68
x 4
272
-----------------------------------------------------------------------------------------------------------------
Hope this helped! Your answer is 272 students. ❤️
A large farm has 75 acres of wheat and 62.5 acres with a new job . The farm crew can harvest the wheat from 12 acres and the corn from 10 acres per day. In how many days will all the fields be harvested
Answer:
All the fields will be harvested in 6.25 days
Step-by-step explanation:
because 75 ÷ 12 and 62.5 ÷ 12 is 6.25
Geometry problem below
Answer:
A quadrilateral has 4 right angles
Step-by-step explanation:
In a conditional statement
If hypothesis, then conclusion
OR
Conclusion, if hypothesis.
The hypothesis goes with the if part.
How far apart are the foci of an ellipse with a major axis of 10 feet and a minor axis of 6 feet?
Answer:
The focii are 8 feet apart
Step-by-step explanation:
You can use the formula
F = √(a^2 - b^2) where F is the distance of the focii from the center , a = length of the semi major axis and b = length of the semi minor axis)
So here it is √(5^2 - 3^2)
= √16 = 4
So the distance is 2*4 = 8
Quadratic relations and comic sections unit test part 1
12. b. 8 feet
1. b ellipse
domain -4<=x<=4
range -3<=y<=3
2. c. x^2/3
3. c. 1/10 x^2
4. b. 5 inches
5. d. x=1/12 (y-4)^2 +2
6. b. (x-4)^2 + (y-5)^2 =49
7. b. (x+8)^2 + (y+4)^2 =25
8. d. (x+3)^2 + (y+2)^2 =9
9. a. center at (7,-6); radius 4
10. b. x^2/25 + y^2/169 =1
11. a. (0, +/- 6)
12. b. 8 ft
13. c. (put equation in graphing calculator to see graph)
14. d. (0, +/-5)
Nala is escaping from the dragon's lair! She is running toward the entrance of the lair at a speed of 9.29.2 meters per second. The entrance is 180180 meters away. The distance dd between Nala and the entrance of the lair is a function of tt, the time in seconds since Nala began running. Write the function's formula.
Answer: Our function will be
[tex]d=180-9.2t[/tex]
Step-by-step explanation:
Since we have given that
Distance of the entrance = 180 meters
Speed of Nala who is running towards the entrance of the lair = 9.2
As we know the "Distance-Speed formula":
[tex]Time=\frac{Distance}{Speed}\\\\t=\frac{180}{9.2}\\\\t=19.565\\\\t=19.57\ seconds[/tex]
So, our required function will be
[tex]d=180-9.2t[/tex]
As we increase the time distance get reduced from 180 which is the distance of the entrance .
Hence, our function will be
[tex]d=180-9.2t[/tex]
f(x) = x^3 If x = −2, y =___ . If x = −1, y = __. If x = 0, y =___
Answer:
f(-2)= -8
f(-1) = -1
f(0)= 0
Step-by-step explanation:
f(x) = x^3
if x =-2
f(-2) = (-2) ^3 = -2*-2*-2 = -8
if x =-1
f(-1) = (-1) ^3 = -1*-1*-1 = -1
if x =0
f(0) = (0) ^3 = 0*0*0 = 0
Answer:
Graph 4
Step-by-step explanation:
for part B
HELP I HAVE TO GO IN A MINUTE Which function has a y-value of 12, if the x-value is 3?
y = x - 6
y = 4x
y = x + 8
y = 3x
I need help ASAP PLEASE SOMEONE 100 POINTS IF CORRECT
Answer:
Step-by-step explanation:
84-90=90-96=96-102=102-108=-6
its a sequence where A(1)=84 n A(n+1)-A(n)=6
A(n)=84+(n-1)*6; n=1,2,3,4,5
Answer:
f(x) = 84 + 6x where x=0, 1, 2, 3, 4, ...
Step-by-step explanation:
Given 84, 90, 96, 102, 108, ...
the numbers are a sequence with 84 as the initial value and in increment of 6s. So the function can be written as:
f(x) = 84 + 6x where x=0, 1, 2, 3, 4, ...
Determine whether the polynomial is a difference of squares and if it is, factor it.
y2 – 225
is a difference of squares: (y – 15)(y + 15)
is a difference of squares: (y – 15)2
is not a difference of squares
is a difference of squares: (y + 15)2
Answer:
The correct answer option is: it is a difference of squares: (y – 15)(y + 15)
Step-by-step explanation:
We are given a polynomial and we are to determine if it is a difference of squares.
Let us recall the algebraic formulas which include:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](a+b)(a-b)=a^2-b^2[/tex]
So if we look closely, we can conclude that the given polynomial observes the third formula of the perfect squares.
Hence, we can say that it is a difference of squares: (y – 15)(y + 15)
[tex]y^2-225 = (y-15)(y+15)[/tex]
Given the linear function g(x) = 3x, describe the effect h(x) = 3x – 1 has on the original graph.
Answer:
x) =g(x) -1 shifts the graph g(x) down 1 unit
Step-by-step explanation:
g(x) = 3x
When we add to g(x) and make it g(x) +c, we shift the graph vertically,
+c shifts the graph up
-c shifts the graph down
h(x) =g(x) -1 shifts the graph g(x) down 1 unit
A store marked up the prices p of its merchandise by 11%. The marked-up prices of the merchandise can be written as 1.11p. Which other expressions is the equal to?
Answer:
P(1+r) = p(1+0.11)= p+0.11p=1.11p
Step-by-step explanation:
The merchandise is marked up 11%. This means you pay 100% of the price plus 11%. We can represent that as (1+r) where r is the percent marked above. For 11%, this expression would be 1+0.11. We multiply that by the price p. p(1+0.11). This simplifies to p+0.11p. We can further simplify it to 1.11p.
Answer:
p + 0.11p
i did the test
Miguel the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 5 clients who did Plan A and 2 who did Plan B. On Tuesday there were 3 clients who did Plan A and 8 who did Plan B. Miguel trained his Monday clients for a total of 6 hours and his Tuesday clients for a total of 7 hours. How long does each of the workout plans last?
length of each plan A work out: ___ hours
length of plan B work out:__ hours
Answer:
length of each plan A work out: 1 hour
length of plan B work out: [tex]\frac{1}{2}[/tex] hours
Step-by-step explanation:
Let x represents the time taken to do plan A
y represents the time taken to do plan B
On Monday there were 5 clients who did Plan A and 2 who did Plan B.
Miguel trained his Monday clients for a total of 6 hours
5x + 2y = 6 -----------> equation 1
On Tuesday there were 3 clients who did Plan A and 8 who did Plan B. .He trained his Tuesday clients for a total of 7 hours
3x + 8y = 7 -------------------> equation 2
Now we solve for x and y
Let multiply the first equation by -4 to eliminate y
-20x -8y = -24
3x + 8y = 7
------------------------ (add both equations)
-17x = -17
Divide both sides by -17
So x= 1
Plug in 1 for x in first equation and solve for y
5x + 2y = 6
5(1) + 2y = 6
5 + 2y =6
Subtract 5 on both sides
2y = 1
y = 1/2
length of each plan A work out: 1 hour
length of plan B work out: [tex]\frac{1}{2}[/tex] hours
Justin's rice ball recipe uses 100100 grams of rice to make 11 rice ball. Justin has 700700 grams of rice. How many rice balls can Justin make with 700700 grams of rice?
Given that pentagon, ABCDE pentagon FGHIJ find the measure of <1
a. 99
b. 100
c. 121
d. cant be determined
The measure of the angle 1 cannot be determined
How to find the measure of the angle 1From the question, we have the following parameters that can be used in our computation:
The pentagons ABCDE and FGHIJ
Given that pentagon ABCDE ≅ pentagon FGHIJ
We can see that there is no occurrence of the angle 1 in both figure
This means that the measure of the angle 1 cannot be determined
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Will all problems adding positive radicals have a rational solution?
Answer:
No
Step-by-step explanation:
Let us consider two positive radicals first,
[tex]\sqrt{3} , \sqrt{5}[/tex]
We know that [tex]\sqrt{3}[/tex] is an irrational number and [tex]\sqrt{5}[/tex] is also an irrational number.
So the sum of two positive radicals does not always have a rational solution.
There are examples when the some of adding positive radicals can get us a rational solution. For example,
[tex]\sqrt{4}+\sqrt{4} =4[/tex]
So if the radicand is a perfect square then the solution is rational.
Item 6 Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?
Answer:
$8.40
Step-by-step explanation:
We can write a proportion to find the total amount last year using the information given. A proportion is two equivalent ratios set equal to each other.
[tex]\frac{125}{100}=\frac{10.50}{y}[/tex]
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
125(y)=100(10.50)
125y=1050
y=8.40
The gift shop at manatee mall was having a clearance sale everything marked down 30%. The original price of a manatee hat was 18$. What was the clearance price ?
Answer:
$12.60
Step-by-step explanation:
To find this, you need to remember this equation:
Starting amount x [tex]\frac{100 - percent}{100}[/tex]
Plug these values in:
18 x [tex]\frac{70}{100}[/tex] = 12.6
So the clearance price was $12.60!
3) Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's
You are given the height of the building and the length of the shadow the building gives, so you can set that up as a proportion of Height of building over the length of the shadow so 31/28.
Now you can set the same proportion for Julian, using X for her height, so you would have x/6.
To solve for her height, set the two proportions equal and solve for x:
31/28 = x/6
Cross multiply:
31 * 6 = 28 *x
186 = 28x
Divide both sides by 28:
x = 186 / 28
x = 6.64 feet tall
To find Julian's height using the proportion between the building's height and shadow length and Julian's shadow length, we set up a proportion as follows: 31 feet (building height) / 28 feet (building's shadow) = Julian's height / 6 feet (Julian's shadow). Solving for Julian's height, we determine it is approximately 6.64 feet.
The question pertains to similar triangles and proportionality in shadows cast by objects. Using the concept of similar triangles, we can set up a proportion to find Julian's height. The shadows and the objects (Julian and the building) form two sets of similar triangles because the angles of the sunshine are the same for both objects, and thus their corresponding sides are proportional.
To set up the proportion, we use the building's shadow and height relation and compare it to Julian's shadow and unknown height. So, we write:
Building's height / Building's shadow length = Julian's height / Julian's shadow length
31 feet / 28 feet = Julian's height / 6 feet
To generate an accurate answer, we solve for Julian's height as follows:
Julian's height = (31 feet / 28 feet) \ 6 feet = (31 / 28) \ 6
Julian's height = 6.64 feet (approximately)
This proportional relationship can be used to find unknown heights or lengths of shadows when a reference object is used, provided the angle of light is the same.
Michael is 44 times as old as Brandon and is also 2727 years older than Brandon.
B - Brandon's age
4B - Michael's age
B + 27 - Michael's age
The equation:
4B = B + 27 subtract B from both sides
3B = 27 divide both sides by 3
B = 9
4B = 4(9) = 36
Answer: Michael - 36, Brandon - 9.