Answer:
C.
Step-by-step explanation:
Add whole numbers: 8+9=17
Combine Fractions: 3/4+2/8= 1
= 17+1 =18
Answer:
Step-by-step explanation:
Make them have common denominators and combine.
[2((8 x 3)+3) ]/8 + [(9 x 8)+2]/8 = C.) 18.
Write an equation for a line that contains the point (-2,7) and is
parallel to y = 6x - 13. *
Answer:
6x+19
Step-by-step explanation:
Since it is parallel it is has the same slope. So, make it 6x+b. After doing this, plug in the coordinates and you would get b=19. Hope it helps u :)
(x-2)^2 equalsto9
answers : x= +1/5 , x=-1 or x=5 , x=1 or x=5 , x=2 or x=3
Answer:
x = - 1 or x = 5
Step-by-step explanation:
(x - 2)² = 9 ( take the square root of both sides )
x - 2 = ± \(\sqrt{9}\) = ± 3 ( add 2 to both sides )
x = 2 ± 3
Then
x = 2 - 3 = - 1 or x = 2 + 3 = 5
Given m || n, find the value of x and y
Step-by-step explanation:
5x-6+7x+18=180
12x=180+6-18
12x=168
168÷12=14
X=14
for y
3y+11=7x+18(7×14+18)
3y+11=116
3y=116-11
3y=105
y= 35
The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 33 yd?. Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
L=2W-5
A=LW, using L from above gives you
A=(2W-5)W
A=2W^2-5W
2W^2-5W-A=0, since A=33yd^2
2W^2-5W-33=0
2W^2+6W-11W-33=0
2W(W+3)-11(W+3)=0
(2W-11)(W+3)=0, since W>0
W=11/2
W=5.5yd, since L=2W-5
L=6yd
So the dimensions are W by L, 5.5yd by 6yd
This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. how many phone calls should she expect after a week?
From the given equation y = 30(0.92)d, she should expect 193 phone calls after a week.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "="..
If the number of phone calls she should expect can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days, then we can calculate the expected amount phone calls after a week.
To determine how much phone calls she should expect after a week, substitute the value of d.
y = 30(0.92)d
where d = 1 week = 7 days
y = 30(0.92)(7)
y = 193.2
Rounding off to the nearest whole number,
y = 193
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Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer. plz answer
Answer:
c=10
Step-by-step explanation:
c² =8²+6²
c² =64+36
c²= 100
\( \sqrt{100} \)
= 10
What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%annual interest, compounded monthly? Use the analytical solution to find the answer.
What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%
annual interest, compounded monthly?
Remember that
The compound interest formula is equal to
\(A=P(1+\frac{r}{n})^{nt}\)where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
A=$120,000
t=12 years
r=14%=14/100=0.14
n=12
substitute in the given formula
\(120,000=P(1+\frac{0.14}{12})^{12\cdot12}\)Solve for P
P=$22,583.42Average Cost Graph The total daily cost in dollars) of producing a mountain bikes is given by C(x) = 936 +80+ 0.12 The average cost function C(x) decreases until e = cand increases afterwards. If the goal of the company is to make the mountain bike as affordable as possible, they should target the production level of c mountain bikes daily Find c Round to 2 decimal places. mountain bikes daily
The given function is C(x) = 936 + 80x + 0.12x^2, where x represents the number of mountain bikes produced daily. The average cost function is also given by C(x).
To make the mountain bike as affordable as possible, the company should target a production level of 333.33 mountain bikes daily, where the average cost function is at its minimum. Rounded to 2 decimal places, the answer is
c = 333.33.
First, let's correct the given cost function: C(x) = 936x + 80x^2 + 0.12x^3. Now, we'll use the terms "function," "average," and "increases."
To find the average cost function, we need to divide the total cost function, C(x), by the number of mountain bikes produced daily, x. Let A(x) represent the average cost function:
A(x) = C(x) / x
Now, let's substitute C(x) into this equation:
A(x) = (936x + 80x^2 + 0.12x^3) / x
Simplify by canceling out an x term:
A(x) = 936 + 80x + 0.12x^2
To find the production level c where the average cost function decreases and then increases, we need to find the minimum point on the A(x) curve. To do this, we'll differentiate A(x) with respect to x to obtain the first derivative:
A'(x) = 80 + 0.24x
Now, set the first derivative equal to zero and solve for x:
80 + 0.24x = 0
0.24x = -80
x = c = -80 / 0.24
Round to 2 decimal places:
c ≈ 333.33
So, to make the mountain bike as affordable as possible, the company should target a production level of approximately 333.33 mountain bikes daily.
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What is 65 Inches in Feet?
When 65 inches are converted to feet, the result is 5.41667 feet.
How do I convert an inch to a foot?To convert 65 inches to feet, divide 65 by 12.We can calculate 65 inches equals 5.41667 feet using a calculator or long division. As a result, 65 inches is equivalent to 5.41667 feet. It is important to note that inches and feet are both length units, so converting between the two involves moving the decimal point in the number two places to the left or right, depending on which unit you are converting to.Divide the number of inches by 12 to convert to feet, because a foot is 12 inches long. Similarly, multiply the number of feet by the number of inches.As a result, 65 inches equals 5.41667 feet, and you can convert inches to feet by dividing the number of inches by 12.To learn more about inches refer to :
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Help me with this math problem please
Answer:
The relative frequency of event "spin a 3" is calculated by:
F = number of elements/total number of elements
= 24/50 = 0.48
Hope this helps!
:)
3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.
Answer:820
Step-by-step explanation:
Since he got $500 the first week multiply 80x4 which is 320+500 is 820$
Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180° rotation around the midpoint of segment BC.
Answer:ABCD and ABEC are parallelograms because they both have a pair of parallel lines.
DCE AND CEB are congruent angels
How do I solve this?? Please help! Find the measure of the indicated angle.
Answer:
This is a tough one, I see why you are confused. The answer would be 50
Step-by-step explanation:
I used process of elimination and working backwards
First I took the first option (50) and added 10. Then divided it by 5 to isolate the X value. I plugged the X value into the (11x+3) and got 135. The missing angle is 45. 50+45+85=180
Hope this helped!
John used his MasterCard credit card to purchase groceries for $75.63, gas for $93.45, and a video game for $61.93 this month. How much should his payment to his credit card company be in order for him to avoid interest charges on these purchases?
Answer:
231.01
Step-by-step explanation:
y =
the solution to the
You can use the interactive
-2x +2y = -4
3x + 3y = -18
Answer:
ur welcoem
Step-by-step explanation:
Two players (player A and player B) are playing a game against each other repeatedly until one player wins all available money. When a player wins a game they take $1 from the other player. Suppose player A starts with $4 and player B starts with $2. If player A wins a game with probability 0.35 and player B wins a game with a probability of 0.65, what is the probability that player A eventually wins all the money? All plays of the game are independent and identical.
To determine the probability that player A eventually wins all the money, we can consider the possible scenarios that lead to this outcome.
Player A can win in the first game, taking $1 from player B. This happens with a probability of 0.35.
Alternatively, player A can lose the first game, leaving both players with $3 each. In this case, the game continues and we need to consider the probability of player A eventually winning all the money from this point.
The probability of player A eventually winning all the money, given that they didn't win the first game, can be calculated as the probability of player A winning the next game multiplied by the probability of player A eventually winning all the money from that point.
The probability of player A winning the next game is 0.35 (since it's the same for each game).
Therefore, the overall probability of player A eventually winning all the money can be calculated as:
P(A wins all money) = 0.35 + 0.65 * P(A wins all money)
Simplifying the equation:
P(A wins all money) = 0.35 + 0.65 * P(A wins all money)
0.35 * P(A wins all money) = 0.35
P(A wins all money) = 0.35 / 0.35
P(A wins all money) = 1
Hence, the probability that player A eventually wins all the money is 1. This means that player A is guaranteed to win all the money in the long run.
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Suppose X and Y are continuous random variables with joint pdf given by f(x, y) = 24xy if 0 < x, 0 < y, x + y < 1, and zero otherwise.
(a) Are X and Y independent? Why or why not?
(b) Find P(Y > 2X).
(c) Find the marginal pdf of X.
X and Y are not independent.
P(Y > 2X) = 3/16.
Marginal pdf of X = 12x(1-x)² for 0 < x < 1
Briefly explain about what method is used to answer each part of the question?(a) To determine if X and Y are independent, we need to check if the joint pdf can be factored into the product of the marginal pdfs:
f(x,y) = 24xy if 0 < x, 0 < y, x + y < 1, and zero otherwise.
Marginal pdf of X can be calculated by integrating the joint pdf over the all possible values of y:
f(x) = ∫ f(x,y) dy from 0 to 1-x
= ∫ 24xy dy from 0 to 1-x
= 12x(1-x)² for 0 < x < 1
Similarly, the marginal pdf of Y can be found by integrating the joint pdf over all possible values of x:
f(y) = ∫ f(x,y) dx from 0 to 1-y
= ∫ 24xy dx from 0 to 1-y
= 12y(1-y)² for 0 < y < 1
To check for independence, we need to verify if f(x,y) = f(x)f(y) for all x and y. However, if we multiply the marginal pdfs, we get:
f(x)f(y) = 144xy(1-x)²(1-y)² for 0 < x < 1 and 0 < y < 1
This is not the same as the joint pdf, so X and Y are not independent.
(b) To find P(Y > 2X), we need to integrate the joint pdf over the region where Y > 2X:
P(Y > 2X) = ∫∫ f(x,y) dA over the region where Y > 2X
= ∫∫ 24xy dA over the region where Y > 2X
= ∫∫ 24xy dxdy over the region where 0 < y < 2x and x+y < 1
= ∫[0,1/2] ∫[y/2,1-y] 24xy dxdy
= 3/16
Therefore, P(Y > 2X) = 3/16.
(c) The marginal pdf of X is given by:
f(x) = ∫ f(x,y) dy from 0 to 1-x
= ∫ 24xy dy from 0 to 1-x
= 12x(1-x)² for 0 < x < 1
Same result we get in part (a).
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X and Y are not independent.
P(Y > 2X) = 3/16.
Marginal pdf of X = 12x(1-x)² for 0 < x < 1
Briefly explain about what method is used to answer each part of the question?(a) To determine if X and Y are independent, we need to check if the joint pdf can be factored into the product of the marginal pdfs:
f(x,y) = 24xy if 0 < x, 0 < y, x + y < 1, and zero otherwise.
Marginal pdf of X can be calculated by integrating the joint pdf over the all possible values of y:
f(x) = ∫ f(x,y) dy from 0 to 1-x
= ∫ 24xy dy from 0 to 1-x
= 12x(1-x)² for 0 < x < 1
Similarly, the marginal pdf of Y can be found by integrating the joint pdf over all possible values of x:
f(y) = ∫ f(x,y) dx from 0 to 1-y
= ∫ 24xy dx from 0 to 1-y
= 12y(1-y)² for 0 < y < 1
To check for independence, we need to verify if f(x,y) = f(x)f(y) for all x and y. However, if we multiply the marginal pdfs, we get:
f(x)f(y) = 144xy(1-x)²(1-y)² for 0 < x < 1 and 0 < y < 1
This is not the same as the joint pdf, so X and Y are not independent.
(b) To find P(Y > 2X), we need to integrate the joint pdf over the region where Y > 2X:
P(Y > 2X) = ∫∫ f(x,y) dA over the region where Y > 2X
= ∫∫ 24xy dA over the region where Y > 2X
= ∫∫ 24xy dxdy over the region where 0 < y < 2x and x+y < 1
= ∫[0,1/2] ∫[y/2,1-y] 24xy dxdy
= 3/16
Therefore, P(Y > 2X) = 3/16.
(c) The marginal pdf of X is given by:
f(x) = ∫ f(x,y) dy from 0 to 1-x
= ∫ 24xy dy from 0 to 1-x
= 12x(1-x)² for 0 < x < 1
Same result we get in part (a).
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Last year students planted 8 tomato plants and 16 pepper plants in a school garden
Answer:
whats the question
Answer:
What are you asking?
Week 6 Practice Problem A Draw the supply and demand for labor in a market in equilibrium. Label the equilibrium wage and quantity of labor. On the same graph illustrate how this market would change if a labor union began representing workers in this industry.
To draw the supply and demand for labor in a market in equilibrium, and illustrate the impact of a labor union, we can use a standard supply and demand graph with quantity of labor (Q) on the x-axis and wage (W) on the y-axis.
Market in Equilibrium:
In a competitive labor market, the supply of labor represents the quantity of workers willing and able to work at various wage levels. The demand for labor represents the quantity of workers that firms are willing to hire at various wage levels. In equilibrium, the supply and demand curves intersect.
Let's assume that at the equilibrium, the wage is labeled as We and the quantity of labor is labeled as Qe.
Graphically, the supply curve (S) slopes upward from left to right, indicating that higher wages incentivize more workers to enter the labor market. The demand curve (D) slopes downward from left to right, indicating that higher wages result in fewer workers being demanded by firms.
Place the equilibrium point (We, Qe) where the supply and demand curves intersect on the graph.
Impact of a Labor Union:
When a labor union represents workers in the industry, it can negotiate for better wages and working conditions on behalf of its members. This can shift the supply and/or demand curve.
a. Shift in the Supply Curve:
If the labor union successfully negotiates higher wages for its members, it can result in an upward shift of the supply curve. This shift represents an increase in the quantity of labor supplied at each wage level.
Draw a new supply curve (S') above the original supply curve. The new supply curve should intersect the demand curve (D) at a higher wage level (Wu) and a greater quantity of labor (Qu).
b. Shift in the Demand Curve:
If the labor union's demands result in higher production costs for firms, it can lead to a decrease in labor demand. This can cause a leftward shift of the demand curve.
Draw a new demand curve (D') to the left of the original demand curve. The new demand curve should intersect the supply curve (S) at a lower wage level (Wd) and a lower quantity of labor (Qd).
Label the new equilibrium point with a labor union as (Wu, Qu).
Note: The specific shift and its impact (supply or demand) depend on various factors and the specific circumstances of the labor union's actions. The above explanation provides a general example.
By graphically illustrating the changes in the labor market due to the presence of a labor union, you can visually see the impact on the equilibrium wage and quantity of labor.
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What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 12?
Y=_x+_
Answer:
y= 12x -43
Step-by-step explanation:
y-5 = 12(x-4)
y-5= 12x-48
+5 +5
y= 12x- 43
You have one type of candy that sells for $3.10/lb and another type of candy that sells for $5.50/lb. You would like to have 9.6 lbs of a candy mixture that sells for $4.10/lb. How much of each candy will you need to obtain the desired mixture
You will need 5.6 pounds of the candy that sells for $3.10/lb and (9.6 - 5.6) = 4 pounds of the candy that sells for $5.50/lb to obtain the desired candy mixture.
Let's assume you need x pounds of the candy that sells for $3.10/lb and (9.6 - x) pounds of the candy that sells for $5.50/lb to obtain the desired mixture.
To solve this problem, we can set up the following equation based on the total cost and total weight of the mixture:
(3.10 * x) + (5.50 * (9.6 - x)) = 4.10 * 9.6
Let's solve this equation to find the value of x:
3.10x + 5.50(9.6 - x) = 4.10 * 9.6
3.10x + 52.8 - 5.50x = 39.36
-2.40x = 39.36 - 52.8
-2.40x = -13.44
x = (-13.44) / (-2.40)
x = 5.6
Therefore, you will need 5.6 pounds of the candy that sells for $3.10/lb and (9.6 - 5.6) = 4 pounds of the candy that sells for $5.50/lb to obtain the desired candy mixture.
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Rewrite, using the distributive
property.
1(19c+30) = [?]c + [ ]
Answer:
19c + 30
Step-by-step explanation:
Distributive property : a(b+c) = ab + ac
Explanation : simply multiply the value on the outside of the parenthesis by both the values on the inside of the parenthesis.
Here we have 1(19c + 30)
To distribute, we multiply 1 by both 19c and 30
1 x 19c = 19c
1 x 30 = 30
We're left with 19c + 30
How long would it take to double your money in deposit account
paying
a. 10% compounded semiannually?
b. 7.25% compounded continuously?
It will take approximately 9.56 years for the money to double in a deposit account paying 7.25% compounded continuously.
a) The time it takes to double your money in deposit account paying 10% compounded semiannually can be calculated using the formula for compound interest which is:
A=P(1+r/n)^(nt)
Where:A= amount
P= principal (starting amount)
R= rate of interest per year
T= time (in years)
N= number of times interest is compounded per year For a deposit account paying 10% compounded semiannually:
R=10%/year
= 0.1/2
= 0.05/6 months
T= time (in years)
P= principal (starting amount)
= 1 (since we're looking for when it doubles)
N= number of times interest is compounded per year
= 2 (since it's compounded semiannually)
Using the formula:
A = P(1 + r/n)^(nt)²
= 1(1 + 0.05/2)^(2t)²
= (1.025)²t²/1.025²
= t5.512
= t
Therefore, it will take approximately 5.5 years for the money to double in a deposit account paying 10% compounded semiannually.
b) The time it takes to double your money in deposit account paying 7.25% compounded continuously can be calculated using the formula:
A = P*e^(rt)
Where:A= amount
P= principal (starting amount)
R= rate of interest per year
T= time (in years)Using the formula:A = P*e^(rt)2 = 1*e^(0.0725*t)ln(2)
= 0.0725*tln(2)/0.0725
= t9.56 years
Therefore, it will take approximately 9.56 years for the money to double in a deposit account paying 7.25% compounded continuously.
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10000000000000000000000000000000000000000000000x100000000000000000000000000000000000.1
search it up its 1e+81.
Answer:
1e+81 or 1 × 10 to the power of 81Step-by-step explanation:
10000000000000000000000000000000000000000000000
times
100000000000000000000000000000000000.1
is too much for the calculator
and it will do this in return for asking this.
1e+81
Hope this helps! <3
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x=5
Step-by-step explanation:
7x-5=4x+10
3x-5=10
3x=15
x=5
Solve the equation t=r+7kw attempted this problem 4 times. all recorded score is 0%. unlimited attempts remaining
Answer:
Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.
If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.
To improve your chances of solving the equation successfully, consider the following steps:
Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.
Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.
Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.
Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.
Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.
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Answer:
Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.
If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.
To improve your chances of solving the equation successfully, consider the following steps:
Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.
Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.
Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.
Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.
Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.
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phil bought a pack of 8 hamburger buns for $1.20 . how much did he pay for each bun
Answer:
.15¢
Step-by-step explanation:
1.20$ total divided by 8 and its .15¢
assume you want 15 participants in each condition of your experiment, which uses a 2x3 factorial design. how many participants... repeated measures
assume you want 15 participants in each condition of your experiment, which uses a 2x3 factorial design has total number of participants 15 x 3 = 45 participants
A 2x3 factorial design is composed of two independent variables and three levels for each variable. The number of participants required for each condition is equal to the number of levels in each variable (2 x 3 = 6). To determine the total number of participants required for the experiment, multiply the number of participants per condition by the number of conditions (15 x 6 = 90). If the experiment uses a repeated measures design, then the total number of participants required is half of this amount (90 / 2 = 45).
15 x 3 = 45 participants
assume you want 15 participants in each condition of your experiment, which uses a 2x3 factorial design has 15 x 3 = 45 participants
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NEED HELP DUE TODAY!!!!!!!!!!!!
Circle B is a dilation of circle A. What is the scale factor of dilation?
The scale factor of dilation is 3.
What is Dilation of a circle?
Dilation is the process of altering an object's or shape's size by reducing or enlarging its dimensions by a certain amount of scale. A circle with a radius of 10 units, for instance, is reduced to a circle with a radius of 5 units. This technique is applied in art and craft, photography, and logo design, among other fields.
Given : Radius of original circle A = 3
Radius of Dilation circle B = 9
We know that, Scale factor of dilation =
Dimension of Dilation shape / Dimension of original shape
So, Scale factor of given dilation = Radius of Circle B / Radius of Circle A
= 9/3
= 3.
Hence, Scale factor of dilation of circle B on Circle A is 3.
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HELP PLS HELP HELP WILL MAKE BRAINLIEST
Answer: Therefore, 14% of cats and dogs got shelter during the day.
Step-by-step explanation:
cats = 5/50 * 100%
= 5*2% = 10%
dogs = 2/50* 100%
= 2*2% = 4%
so
= 10% + 4% = 14%
Answer:
Option A
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day