To solve this problem, recall that the area of a rectangle is given by the following formula:
[tex]A=wide\times length.[/tex]Therefore, the area of the stage is:
[tex](15\frac{1}{2}\times20)ft^2.[/tex]Converting the mixed number to an improper fraction, you get:
[tex]15\frac{1}{2}\times20=\frac{31}{2}\times20.[/tex]Computing the multiplication you get:
[tex]310.[/tex]Answer: [tex]310,\frac{31}{2}\times20.[/tex]What rectangle described has the same perimeter as this shape but different area
The formula for calculating the perimeter of a rectangle is
perimeter = 2(length + width)
Perimeter of the given rectangle = 2(15 + 5) = 40
Area = 5 x 15 = 75
Looking at the given options,
A) Perimeter = 2(11 + 7) = 36
Area = 11 x 7 = 77
B) Perimeter = 2(11 + 9) = 40
Area = 11 x 9 = 99
Thus, the correct option is B
A ball is dropped from a tower. The table shows the heights of the ball's bounces, which form a geometric sequence. Describe in words how you would find the height of the next bounce?
to find the height of the next bounce, just replace the x value in the function
[tex]f(x)=36x^2-228x+392[/tex]the heigth of next bounce is 56 ft}
Explanation
Step 1
find the equation of the quadratic function, so
i) set the equations
a quadratic function is in the form
[tex]f(x)=ax^2+bx+c[/tex]so, we can replace the known coordinates for find a, b and c
so
a)
[tex]\begin{gathered} f(x)=ax^2+bx+c \\ a)(1,200),\text{ so} \\ 200=a(1)^2+b(1)+c \\ 200=a+b+c\rightarrow equation(1) \end{gathered}[/tex]b)
[tex]\begin{gathered} f(x)=ax^2+bx+c \\ b)(2,80) \\ 80=a(2)^2+b(2)+c \\ 80=4a+2b+c\rightarrow equation(2) \end{gathered}[/tex]c)
[tex]\begin{gathered} f(x)=ax^2+bx+c \\ c)(3,32) \\ 32=a(3)^2+(3)x+c \\ 32=9a+3b+c\rightarrow equation\text{ (3)} \end{gathered}[/tex]Step 2
solve the equations
[tex]\begin{gathered} 200=a+b+c\rightarrow equation(1) \\ 80=4a+2b+c\rightarrow equation(2) \\ 32=9a+3b+c\rightarrow equation\text{ (3)} \end{gathered}[/tex]a) isolate x in equation (1) and (2) , then let c= c
so
[tex]\begin{gathered} 200=a+b+c\rightarrow equation(1) \\ c=200-a-b \\ and \\ 80=4a+2b+c\rightarrow equation(2) \\ c=80-4a-2b \\ c=c\text{ , so} \\ 200-a-b=80-4a-2b \\ 200-80=-4a-2b+a+b \\ 120=-3a-b\rightarrow equation(4) \end{gathered}[/tex]b)isolate x in equation (1) and (3) , then let c= c
[tex]\begin{gathered} 32=9a+3b+c \\ c=32-9a-3b \\ C=C,\text{ so} \\ 200-a-b=32-9a-3b \\ 300-32=-9a-3b+a+b \\ 168=-8a-2b\rightarrow equation(5) \end{gathered}[/tex]c) now, use equation (4) and equation(5) to find a and b
[tex]\begin{gathered} 120=-3a-b\rightarrow equation(4) \\ 168=-8a-2b\rightarrow equation(5) \end{gathered}[/tex]i)isolate b in both sides, then let b=b
[tex]\begin{gathered} 120=-3a-b\rightarrow equation(4) \\ b=-3a-120 \\ \text{and} \\ 168=-8a-2b\rightarrow equation(5) \\ 168+8a=-2b \\ b=\frac{168+8a}{-2} \\ b=-84-4a \\ B=B,\text{ so} \\ -3a-120=-84-4a \\ -3a+4a=-84+120 \\ a=36 \end{gathered}[/tex]replace to find b
[tex]\begin{gathered} b=-3a-120 \\ b=-3(36)-120 \\ b=-108-120=-228 \\ b=-228 \end{gathered}[/tex]finally, replacei n equation (1) to find c
[tex]\begin{gathered} 200=a+b+c\rightarrow equation(1) \\ 200=36-228+c \\ 200=192+c \\ 200+192=c \\ c=392 \end{gathered}[/tex]therefefore,
[tex]f(x)=36x^2-228x+392[/tex]Step 3
now, we have the function
[tex]f(x)=36x^2-228x+392[/tex]so
to find the height of the next bounce, just replace the x value in the function
[tex]f(x)=36x^2-228x+392[/tex]so, when bounce = 4,
let
x=4
[tex]\begin{gathered} f(x)=36x^2-228x+392 \\ f(4)=36(4)^2-228(4)+392 \\ f(4)=56 \end{gathered}[/tex]so, the heigth of next bounce is 56 ft
56 ft
I hope this helps you
When complete, evaluate the expressions to chec24 + 360/1
To factor an expression using GCF we need to first factorate the numbers. We have:
[tex]\begin{gathered} 24=2\cdot2\cdot2\cdot3 \\ 36=2\cdot2\cdot3\cdot3 \end{gathered}[/tex]We now need to take the factors that repeat. We have "2" repeating twice and "3" repeating once. So we have:
[tex]GCF=2\cdot2\cdot3=12[/tex]GCF= 2*2*3=12
We now divide both numbers by the GCF, we have:
[tex]\frac{24}{12}=2[/tex][tex]\frac{36}{12}=3[/tex]We can represent the expression as the product of the GCF with the divisions above.
[tex]12\cdot(2+3)[/tex]1) Complete the table using the equation: y = 1760m Show your work. distance measured in miles distance measured in yards 1 5 3,520 17,600 Does this table represent a proportional relationship? Explain why or why not.
It is a proportional relationship
Explanation:Equation: y = 1760m
where y = disatnce mesured in yards
m = distance measured in miles
when m = 1
y = 1760(1)
y = 1760
when m = 5
y = 1760(5)
y = 8800
when y = 3520, m = ?
3520 = 1760m
m = 3520/1760
m = 2
when y = 17600, m = ?
17600 = 1760m
m = 17600/1760
m = 10
For the table to represent a proportional relationship, it must follow the form:
y = kx
in this case: y = km
where k = constant of proportion
From the workings above, y and m changes but the number 1760 remains constant
k = 1760
y = 1760m
Hence, it is a proportional relationship
Identify the vertex, axis of symmetry and min/max value of each16) f(x) = x² - 12x + 44
ANSWER
Vertex: (6, 8)
Axis of symmetry: x = 6
Minimum value: y = 8
EXPLANATION
The x-value of the vertex of a quadratic function with standard form:
[tex]f(x)=ax^2+bx+c[/tex]is:
[tex]x_v=\frac{-b}{2a}[/tex]In this function a = 1 and b = -12. The x-value of the vertex is:
[tex]x_v=-\frac{-12}{2}=-(-6)=6[/tex]To find the y-value of the vertex we have to replace x by xv in the function and solve:
[tex]\begin{gathered} y_v=x^2_v-12x_v+44 \\ y_v=6^2-12\cdot6+44 \\ y_v=36-72+44 \\ y_v=8 \end{gathered}[/tex]So the vertex is (6, 8)
The axis of symmetry is a vertical line that passes through the vertex, so it's x = 6.
This function has a minimum value, because a > 0 (positive) so the branches of the parabola go upwards. Therefore, the vertex is the minimum value of the function: y = 8
Determine whether the conclusion is valid. Explain.You want to Determine how many students consider math to be their favorite school subject.You randomly survey 75 students.Thirty-three students consider math to be their favorite subject and forty-two do not.So you conclude that 40% of students at your school consider math to be their favorite subject.
We know that 33 students out of 75 consider Math to be their favorite subject. We want to find it this portion of students is 40% of the total.
In order to do that we find what is the 40% of 75.
We just divide the percentage, 40%, by 100:
40 ÷ 100 = 0.4
and then we multiply the result by the total, 75:
0.4 x 75 = 30
This is
40% of 75 is 0.4 x 75 = 30
Then the 40% of 75 is 30 instead of 33 students.
Answer: the conclusion is NOT valid
Which of the following scenarios is not showing a proportional relationship? A. Jen paid $35 to rent a kayak for 1 hours. Jamal paid $40 to rent a kayak for 2 hours. B. Kai drove 260 miles in 4 hours. The next day. he drove 533 miles in 8.2 hours. C. Lyza can build 15.75 frames in 3-hours. In 8 hours. she builds 36 frames. D. Darelle paid $143.20 for 4 tickets to a show. Bria paid $228.20 for 7 tickets to the same show.
Answer
Explanation
The scenarios showing proportional relationships will have the same answers when we use the current rate to find the unit rate for both scenarios provided in each option.
Option A
Jen paid $35 for 1 (3/4) hours
$35 = 1.75 hours
Divide both sides by 1.75 to obtain the price per hour
(35/1.75) = (1.75/1.75)
$20 = 1 hour
Jamal paid $40 for 2 hours
$40 = 2 hours
Divide both sides by 2 to obtain the price per hour
(40/2) = (2/2)
$20 = 1 hour
Since both answers are the same, this scenario represents a proportional relationship.
Option B
Kai drove 260 miles in 4 hours
260 miles = 4 hours
Divide both sides by 4 to obtain the number of miles driven per hour
(260/4) = (4/4)
65 miles = 1 hour
The next day, he drove 533 miles in 8.2 hours
533 miles = 8.2 hours
Divide both sides by 8.2 to obtain the number of miles driven per hour
(533/8.2) = (8.2/8.2)
65 miles = 1 hour
Since both answers are the same, this scenario represents a proportional relationship.
Option C
What is the slope of the line that passes through the points (-6,13) and (9,-7)?
To find the slope of a line that pases through points (x1, y1) and (x2, y2) you use this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1_{}_{}}[/tex]Where 'm' is the slope. You have to always follow the rule on which number you put first. Pick one of the points and call it (x1,y1) and the other will be (x2,y2). This way you'll always get the right sign for the slope.
In this problem we'll call:
[tex](x_1,y_1)=(9,-7)[/tex]And
[tex](x_2,y_2)=(-6,13)[/tex]So, the slope is:
[tex]m=\frac{13-(-7)}{(-6)-9}=\frac{13+7}{-(6+9)}=\frac{20}{-15}=-\frac{4}{3}[/tex]The bill for dinner was $48.57 you left $11.43 for the tip what percentage of the original bill was the tip round your answer to the nearest whole percent
To find the percentage we can divide the tip by the total of the bill and multiply it by 100. So:
[tex]\frac{11.43}{48.57}\cdot100=23.5[/tex]So the answer is: 23.5%
or rounded 23%
mx+b for m=8 x=3 b= 4
We have an expression that needs to evaluated at certain values. The expression is given in linear terms that is the output is linearly related with input variable ( x ).
[tex]y\text{ = m}\cdot x\text{ + b}[/tex]Here,
[tex]m\text{ and b are defining constants of a linear expression}[/tex]We are to evalute the above linear expression for the following values:
[tex]\begin{gathered} m\text{ = 8} \\ b\text{ = 4} \\ x\text{ = 3} \end{gathered}[/tex]By evaluating an expression we mean that we utilize the expression relating these constants ( m and b ) and variable ( x ) using substitution of respective values given to us.
We will substitute each value given into the expression defined as follows:
[tex]\begin{gathered} y\text{ = (8)}\cdot(3)\text{ + 4} \\ y\text{ = 24 + 4} \\ \textcolor{#FF7968}{y=}\text{\textcolor{#FF7968}{ 28}} \end{gathered}[/tex]Hence, the answer of the question would be:
[tex]\textcolor{#FF7968}{28}[/tex]2. A maple tree seed is planted and the tree grows 2 feet per month. Create a table that could represent the tree's height Graph those pamts on the graph and create a rule that represents the relationship. y 난 Month Height Find Constant Rate 261 867 2 Graph Line 3 write equation 4 니 8 10. y=
According to the question, the tree seed planted grows 2 feet per month
For every month, the seed grows to feet
Let x represent the number of months
Let y represents the height of the tree grown per month
For the first month, that is when x = 1, the height of the tree is 2 ft
when x = 1
y = 2 x 1
y = 2ft
When x = 4
y = 2 x 4
y = 8 ft
When x = 8
y = 2 x 8
y = 16 ft
when x = 10
y = 2 x 10
y = 20 ft
The table formed is given as
x 1 4 8 10
y 2 8 16 20
Secondly, we need to calculate the constant of proportionality
Height is proportional to the number of months
y = kx
where k = proportionality constant
Isolate K
k = y/x
For x = 1 and y = 2
k = 2/1
k = 2
For x = 4 and y = 8
k = 8/4
k = 2
For x = 8 and y = 16
k = 16/8
k = 2
for x = 10 and y = 20
k = 20/10
k = 2
Therefore, the relationship between x and y is given below
y = 2x
Thirdly, we need to graph the table
Why are the red lines in the image below called skew lines?O The lines both go on infinitely.The lines both travel in the same direction.The lines are parallel to one another.The lines lie in different planes and will never intersect.
we know that
skew lines are two lines that do not intersect and are not parallel. Two lines are skew if and only if they are not coplanar.
therefore
the answer must be
The lines lie in different planes and will never intersect.Given the equation : 5 + x - 12 = x - 7Part A. Solve the equation 5 + x - 12 = x - 7 In your final answer, be sure to state the solution and include all of your work.Part B. Use the values x = -4, 0, 5 to verify your solution to the equation 5 + x - 12 = x - 7 In your final answer, include all of your calculations.
Part A: Given the equation : 5 + x - 12 = x - 7
Solve the equation,
[tex]\begin{gathered} 5+x-12=x-7 \\ \text{take left hand side of equation,} \\ \text{LHS}=5+x-12 \\ =x-7 \\ =\text{RHS} \end{gathered}[/tex]Hence, it proves that 5 + x - 12 = x - 7
Part B: for x=-4
[tex]\begin{gathered} \text{LHS}=5+x-12 \\ =5-4-12 \\ =-11 \\ \text{Take RHS,} \\ \text{RHS}=x-7 \\ =-4-7-11 \\ \text{hence, LHS=RHS for x=-4} \end{gathered}[/tex]For x=0,
[tex]\begin{gathered} \text{LHS}=5+x-12 \\ =5+0-12 \\ =-7 \\ \text{RHS}=x-7 \\ =0-7 \\ =-7 \\ \text{hence, LHS=RHS for x=0} \end{gathered}[/tex]For x=5,
[tex]\begin{gathered} \text{LHS}=5+x-12 \\ =5+5-12 \\ =-2 \\ \text{RHS}=x-7 \\ =5-7 \\ =-2 \\ \text{Hence, LHS=RHS for x=5} \end{gathered}[/tex]Answer: The euation is : 5 + x - 12 = x - 7
The values of x =-4,0,5 all satisfies the given equation.
4 4/9 + 8 7/9 how do you turn that into a mixed number
Given
[tex]4\frac{4}{9}+8\frac{7}{9}[/tex]To find the value.
Explanation:
It is given that,
[tex]4\frac{4}{9}+8\frac{7}{9}[/tex]Then,
[tex]undefined[/tex]Convert 39ft/min = ? Yd/s
It's a given relation:
1 foot per minute (ft/min) = 0.0056 yards per second (yd/sec)
1ft/min=0.0056yd/s
39ft/min = 0.0056*39yd/s = 0.2184yd/s
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.d(t) models Tanya's remaining distance to a walk (in kilometers) t minutes since she left home. Question: Which number type is more appropriate for tye domain of d?Choose 1 answer:IntegersReal Numbers
The domain is the set of allowed values for a function.
We want the type of domain of d.
The function d is the distance she walks.
The distance can be 0.2 kilometers, 0.8 kilometers, 1.2 killometers etc. until 1.5 km [since this is the max distance].
These are real numbers. Not all are integers.
Write an equation for the line shown on the right.The equation of the line is y =(Type an expression using x as the variable. Simplify your answer. Use integers or fractions for anynumbers in the expression.)
Therefore,
(0, 4)(3, 8)
[tex]m=\frac{8-4}{3-0}=\frac{4}{3}[/tex][tex]\begin{gathered} 4=\frac{4}{3}(0)+b \\ 4=b \\ \end{gathered}[/tex][tex]y=\frac{4}{3}x+4[/tex]A survey by the National Restaurant Association found that 70% of consumers say that they are more likely to visitrestaurants that offer locally produced food. If the town has a population of 18,000, how many might prefer a restaurant with locally producedfood?
ANSWER
12,600 people
EXPLANATION
We have that 70% of customers are more likely to visit restaurants that offer locally produced food.
The population of the town is 18,000.
To find the number of people that might prefer a restaurant with locally produced food, we have to find 70% of 18,000.
That is:
[tex]\frac{70}{100}\cdot\text{ 18000 = 12,600 people}[/tex]12,600 people might prefer a restaurant with locally produced food.
If -5x + 6 =-69 what is the value of 6x - 15
Which expression is equivalent to the complex number 10+3i?
The equivalent expression to the complex number 10+3i is B) (4+7i)-2i(2+3i).
What is an equivalent expression?An equivalent expression is a mathematical expression that assumes an equivalent or equal value with another expression.
We can discover if two expressions have equivalent values after simplifying them.
What is a complex number?A complex number is the total or sum of a real number and an imaginary number, which is usually stated as a + bi, where a and b are real numbers, while i is the imaginary number.
A) 2i(4 - 5i) + (1 - 7i):= 8i - 10i² +1 - 7i
Therefore, i² = -1
= 8i -10(-1) + 1 - 7i
= 8i + 10 + 1 - 7i
= 11 + i
B) (4 + 7i) - 2i(2 + 3i):= 4 + 7i - 4i - 6i²
= 4 + 7i -4i -6(-1)
= 4 + 7i -4i + 6
= 10 + 3i
C) (-3 + 5i) -3i(4 + 5i):= (-3 + 5i) -12i - 15i²
= -3 + 5i - 12i - 15(-1)
= -3 + 5i - 12i + 15
= 12 - 7i
D) 3i(4 + 7i) + (11 + 2i):= 12i + 21i² + 11 + 2i
= 12i + 21(-1) + 11 + 2i
= 12i - 21 + 11 + 2i
= 14i - 10
Thus, the equivalent expression is only Option B.
Learn more about equivalent expressions and complex numbers at https://brainly.com/question/28757903
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Question Completion with Answer Options:A) 2i(4 - 5i) + (1 - 7i)
B) (4 + 7i) -2i(2 + 3i)
C) (-3 + 5i) - 3i(4 + 5i)
D) 3i(4 + 7i) + (11 + 2i)
if 0= 2pi/3, then the value of cos 0= -1/2.Part A: What is another angle, 0, that has the same value of cos 2pi/3, if 0<0<2pi?Part B: Name two angles that have the opposite value of cos 2pi/3, if 0<0<2pi.
The other angle with the same value of 2pi/3 for the cosine function is given by:
[tex]\frac{2\pi{}}{3}+\frac{\pi{}}{2}=\frac{7\pi{}}{6}[/tex]Because the cosine and sine function repeat the absolute value every pi/2, to localize the sign you can think about the trigonometric circle.
As I stated before the cosine and sine function repeat the absolute value every pi/2, to localize the sign you can think about the trigonometric circle. The values between pi/2 and 3pi/2 are negative and the others are positive.
B part)
To find the two values with the opposite value we need to take pi/2 from our angle, and add pi to find the two values.
[tex]\frac{2\pi}{3}+\pi=\frac{5\pi}{3}[/tex]and
[tex]\frac{2\pi}{3}-\frac{\pi}{2}=\frac{\pi}{6}[/tex]With this we have all the angles.
your brother 1/4 yor age.your sister is 8 years older than your brother.your sister is 12 years old.write and solve tan equation to find your age aan equation is __= 12you are _ years old
Let A be your age, B be the age of your brother and S be the age of your sister.
Since your brother is 1/4 your age, then:
[tex]B=\frac{1}{4}A[/tex]Since your sister is 8 years older than your brother, then:
[tex]S=B+8[/tex]Since your sister is 12 years old, then:
[tex]S=12[/tex]Use the second equation to find your brother's age by plugging in S=12:
[tex]\begin{gathered} S=B+8 \\ \Rightarrow12=B+8 \\ \Rightarrow B=12-8 \\ \therefore B=4 \end{gathered}[/tex]Plug in B=4 in the first equation to find your age:
[tex]\begin{gathered} \frac{1}{4}A=B \\ \Rightarrow\frac{1}{4}A=4 \\ \Rightarrow A=4\times4\rbrack \\ \therefore A=16 \end{gathered}[/tex]Therefore, you are 16 years old.
solving inequalities in real life Taylor has a $30.00 gift card that she can spend at the store. She has already bought a $9.00 picture frame, and she wants to buy $3.00 journals with the leftover money on the card. How many journals can she buy without going over the card's limit?
30 is the total of the gift card
she bought 9
she wants to buy journals at 3 each
If J is the number of journals
3 J <= 30 - 9
3 J <= 21
J <= 21/3
J <= 7
Answer:
She can buy up to 7 Journals
Mar 24, 12:06:42 PM Watch help video Find the length of the third side. If necessary, write in simplest radical form. 5 5 Answer: Submit Answer Type here to search ONE
The given triangle is a right angle triangle.
The length of the hypotenuse of a right angle triangle can be determined by using Pythagorus theorm,
[tex]\begin{gathered} h=\sqrt[]{p^2+b^2} \\ h=\sqrt[]{5^2+5^2} \\ h=\sqrt[]{50} \\ h=5\sqrt[]{2} \end{gathered}[/tex]Thus, the above expression gives the requried length of the triangle in the radical form.
triangle PQR the following vertices: P(3, 1), Q(1, 4) , and R(2, - 5) . Triangle P’Q’R’ the following vertices: P’=(1,-3), Q’=(4,-1), R’=(-5-2).What is true about triangles PQR and P’Q’R?
90 degrees clockwise rotation
Explanation:Transformation from P to P': (3, 1) to (1, -3)
Q to Q': (1, 4) to (4, -1)
R to R': (2, -5) to (-5, -2)
From the above, the original shape was transformed by interchanging the x and y coordinates as well as negating the previous x coordinate
This denoted as:
(x, y) to (y, -x)
This transformation is known as rotation of 90 degrees clockwise.
Hence, what is true about triangles PQR and P'Q'R' is a transformation of 90 degrees clockwise rotation
A point on a wheel moves atradiansper minute.How many seconds are required for the point to complete 10 revolutions?Enter your answer, rounded to the nearest tenth, in the box.
0.2s
[tex]undefined[/tex]an angle measures 25° and find it's A supplement and B complement
Since we have that our angle measures 25°, to get the supplement, we have to substract this value from 180:
[tex]180-25=155[/tex]and for the complement, we substract 25 from 90:
[tex]90-25=65[/tex]therefore, the supplement is 155° and the complement is 65°
state where the functioms are continuousstate x values of discontinuity and state which type of continuity
Continuity of Functions
Continuity is a property of functions that can be drawn without lifting the pencil off the paper/board.
A function that is not continuous at a given point x=a is said to be discontinuous at x=a.
There are 3 types of discontinuity: Removable, Jump, and Infinite.
We'll select the appropriate type and explain it when we are required to.
The given function is:
[tex]f(x)=\begin{cases}\frac{x}{x-2},x<2 \\ 6,2\le x\le6 \\ \frac{x-2}{x^2-6x+8},x>6\end{cases}[/tex]Rational functions provide discontinuity points and piecewise functions need to be analyzed to check the continuity in their endpoints.
The denominator of the first piece is x-2 which gives us one possible point of discontinuity at x=2, which also happens to be an endpoint of the first two pieces of the function, thus x=2 needs to be analyzed.
The other point is x=6 since the function changes from the second to the third piece.
Finally, the denominator of the last piece has two possible zeros at x=2 and x=4. Since both points lie out of the interval x>6, they don't need to be considered.
Thus, the only points of possible discontinuity are x=2 and x=6. Let's analyze them.
The left-side limit at x=2 does not exist because it makes the denominator zero and the function is undefined, i.e., the limit tends to be infinite.
This discontinuity is, therefore, of the type infinite.
The left-side limit at x=6
can you help me please
the number we have to place are:
[tex]\sqrt[]{2},\pi,4.5[/tex]Fisrt we put all of them in a decimal form so:
[tex]1.4,3.14,4.5[/tex]Now we pit them in the line:
the least greater number will be the number in the left so the order will be:
[tex]1.4\to3.14\to4.5[/tex]Or you can place them in the original form:
[tex]\sqrt[]{2}\to\pi\to4.5[/tex]Sarah bought 5 apples and 8 oranges at the grocery store. Write the ratio of apples to oranges.
The ratio is denoted by the symbol ':' and we write it by putting the larger number first, then ':' and finally the lesser one.
In the case of our problem:
[tex]8\colon5[/tex]That's the answer to the question.
However, there are other ways to write the ratio. For example, as a fraction:
[tex]\frac{8}{5}=1.6[/tex]This means that for every apple, Sarah bought 1.6 oranges.