The number of angelfish and goldfish are required.
The number of angelfish is 48 and goldfish is 36.
The ratio of clownfish to angelfish is
[tex]\dfrac{c}{a}=\dfrac{5}{4}[/tex]
Ratio of angelfish to goldfish is
[tex]\dfrac{a}{g}=\dfrac{4}{3}[/tex]
Number of clownfish is [tex]c=60[/tex]
From the given ratios
[tex]\dfrac{60}{a}=\dfrac{5}{4}\\\Rightarrow a=\dfrac{60\times 4}{5}\\\Rightarrow a=48[/tex]
[tex]\dfrac{48}{g}=\dfrac{4}{3}\\\Rightarrow g=\dfrac{48\times 3}{4}\\\Rightarrow g=36[/tex]
The number of angelfish is 48 and goldfish is 36.
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Keira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints used for each mix and connected them using a line segment, as shown in the graph below:
Line graph Color Mix, Quantity of Blue Paint, in mm, on X axis and Quantity of Red Paint, in mm, on Y axis. X axis has a scale from 0 to 9 increments of 1. The Y axis has a scale of 0 to 18 increments of 2. Straight line connecting 3, 2 and 7, 12
Which statement best describes the domain of the function represented in the graph?
3 ≤ x ≤ 12 or x is between 3 and 12, inclusive
3 ≤ x ≤ 7 or x is between 3 and 7, inclusive
2 ≤ x ≤ 12 or x is between 2 and 12, inclusive
2 ≤ x ≤ 7 or x is between 2 and 7, inclusive
The most accurate statement is 2 ≤ x ≤ 12 or x is between 2 and 12, inclusive.
The statement that best describes the domain of the function represented in the graph is 2 ≤ x ≤ 12 or x is between 2 and 12, inclusive.
The domain of a function refers to all the possible input values (in this case, the quantity of blue paint) for which the function produces an output (the quantity of red paint).
Looking at the graph, we can see that the line segment starts at a blue paint quantity of 2 and ends at a blue paint quantity of 12.
Since the endpoints are included in the line segment, we know that the function is defined for all blue paint quantities between 2 and 12, inclusive.
Therefore, the most accurate statement is 2 ≤ x ≤ 12 or x is between 2 and 12, inclusive.
Collin ordered a set of yellow and brown pins. He received 400 pins in all. 340 of the pins were yellow. What percentage of the pins were yellow?
Write your answer using a percent sign (%).
8=8p+13-3p if you solve this i will thank you
Name all sets of numbers to which each real number belongs. Need answers from 54-59. Thank you.
Write words to match the expression 6x(12-4)
Answer:
"6 times the difference of 12 and 4"
Step-by-step explanation:
Given: [tex]6\times (12-4)[/tex]
To write the given expression in words.
"6 times the difference of 12 and 4"
Because difference of 12 and 4 is 12-4
6 times of a number(n) is 6n
Therefore,
[tex]6\times (12-4)[/tex] as phrase "6 times the difference of 12 and 4"
Hence, The phrase of the given expression is "6 times the difference of 12 and 4"
Please help...................................................
If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?
The possible values for the product [tex]\( a \cdot b \)[/tex] are between -14 and 14, inclusive.
Here's the step-by-step calculation:
1. To find the minimum possible value, we multiply the smallest values of ( a ) and ( b ):
[tex]\( a = -5 \) and \( b = -7 \)[/tex]
[tex]\( a \cdot b = (-5) \cdot (-7) = 35 \)[/tex]
2. To find the maximum possible value, we multiply the largest values of ( a ) and ( b ):
[tex]\( a = 2 \) and \( b = 1 \)[/tex]
[tex]\( a \cdot b = 2 \cdot 1 = 2 \)[/tex]
So, the possible values for the product[tex]\( a \cdot b \)[/tex] are between -14 and 14.
The range of values for( a ) is from -5 to 2, and for ( b ) is from -7 to 1. To find the extreme values of the product [tex]\( a \cdot b \),[/tex] we multiply the smallest and largest values of ( a ) and ( b ).
For the minimum value, we take ( a = -5 ) and ( b = -7 ), which gives us [tex]( a \cdot b = 35 \).[/tex]
For the maximum value, we take ( a = 2 ) and ( b = 1 ), which gives us [tex]\( a \cdot b = 2 \).[/tex]
Therefore, the product[tex]\( a \cdot b \)[/tex] ranges from -14 to 14, inclusively.
complete question
If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?
Find two numbers if their sum is 91 and the ratio is 6:7.
In Zoe's class, 4/5 of the students have pets. Of the students who have pets, 1/8 have rodents. What fraction of the students in Zoe's class have pets that are rodents? What fraction of the students in Zoe's class have pets that are not rodents?
Final answer:
In Zoe's class, 1/10 of the students have pets that are rodents, while 7/10 have pets that are not rodents.
Explanation:
To calculate the fraction of students in Zoe's class who have pets that are rodents, you multiply the fraction of students who have pets by the fraction of those pet owners who have rodents:
4/5 × 1/8 = 4/40 or simplified, 1/10.
This means 1/10 of Zoe's class have rodents as pets.
Now, to find out the fraction of students with pets that are not rodents, subtract the fraction of students with rodents from the total fraction of students with pets:
4/5 - 1/10 = 32/40 - 4/40 = 28/40, which simplifies to 7/10.
So, 7/10 of Zoe's class have pets that are not rodents.
can you help with the air freshener question?? And can you simplify the answer
– (9 – 5c) + 18 – c = 37 please show your work.
An animal shelter spends $1.00 per day to care for each bird and $7.00 per day to care for each cat. Oliver noticed that the shelter spent $186.00 caring for birds and cats on Wednesday. Oliver found a record showing that there were a total of 36 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
help with geometry please
Onetta biked 325 miles in 5 days. If she biked the same number of miles each day, how far did she bike each day?
Please help 20 points!
What is the equation of the line shown in the graph? Write the equation in standard form?
What is the expanded form of the first factor?
43 × 59
A.
43 + 0
B.
40 + 3
C.
54 + 5
D.
59 + 0
what is 5.027 + 4.68r if r= 0.034m
A punter kicks a football upward with an initial velocity of 48 feet per second. After how many seconds does the ball hit the ground? use the formula h=rt-16t^2, where h represents height in feet and r represents the initial velocity (rate) in feet per second.
It would take 3 seconds for the ball to hit the ground
Given the initial velocity r = 48 feet per second feet per second, for the football to hit the ground, the height h will be 0.
Now, substitute the values, we have;
0 = 48t - 16t²
collect the like terms and rearrange to a quadratic equation, we get that;
16t² - 48t = 0
Now, we have to factor out the common term from the equation which is 16t, we have then that;
16t(t - 3) = 0
t- 3 = 0
collect the like terms, we get;
t = 3 seconds
Which of the following is a composite number that is divisible by both 3 and 5?A.116B.135C.1025D.1546
Answer:
is b
Step-by-step explanation: i did the test
Latrell has $8 to spend on postcards. He wants to buy one large postcard and some small ones. Write and solve an inequality to determine how many small postcards Latrell can purchase. Interpret the solution.
Francois baked just enough cookies to fill all the orders at his bakery. While the cookies were cooling, a kitchen assistant knocked over a cooling rack and spilled %12, percent of the cookies onto the floor. Francois had to bake 36 more cookies to replace them. How many cookies were ordered in total?
Solve each problem for the given variable
-3c+ac=ac=4 solve for c
X/Y +4=x/5 solve for x
Debra found that 6 of the 24 students in her class own a cell phone . What is the ratio of students that own a cell phone to students that do not ? Explain your reasoning to a classmate . ( please help)
Explain how you can find the numbers of ninths in 2 5/9
Answer:
23 is the required answer.
Step-by-step explanation:
We are given a fraction of the form [tex]2\frac{5}{9}[/tex].
It is a mixed fraction.
We convert it into improper fraction.
The improper fraction is of the form [tex]\frac{(9\times2)+5}{9} = \frac{23}{9}[/tex].
This fraction can also be written as 23 multiplied [tex]\frac{1}{9}[/tex] times.
It is clear that the above fraction have 23 parts of ninth.
The Greendale fifth graders sat in the balcony at Symphony Hall. 15 students sat in each row. How many rows did they fill?
Gerardo has an average of 83 on his five math tests. What must he score on his sixth test to raise his average to 85?
The sum of 5 consecutive integers is 505
To find the sum of 5 consecutive integers, use the formula (n + n+1 + n+2 + n+3 + n+4), where n is the first integer. The consecutive integers are 99, 100, 101, 102, and 103.
Explanation:To find the sum of 5 consecutive integers, we can use the formula (n + n+1 + n+2 + n+3 + n+4), where n is the first integer. In this case, the sum is 505, so we have the equation: n + (n+1) + (n+2) + (n+3) + (n+4) = 505. Simplifying this, we get: 5n + 10 = 505. Subtracting 10 from both sides gives 5n = 495. Dividing both sides by 5, we find that n = 99.
Therefore, the 5 consecutive integers are 99, 100, 101, 102, and 103.
How do you factor this out 2y^2+3y-35?
y=5mx+8b solve for x