Given:
The ratio of cats to dogs is 3:7.
12 dogs escaped and the ratio is now 3 : 4.
To find:
The total number of animal at the beginning.
Solution:
Let the number of cats and dogs at the beginning are 3x and 7x respectively.
12 dogs escaped. So, the remaining number of dogs is (7x-12).
New ratio of cats and dogs is 3:4.
[tex]\dfrac{3x}{7x-12}=\dfrac{3}{4}[/tex]
[tex]4(3x)=3(7x-12)[/tex]
[tex]12x=21x-36[/tex]
[tex]12x-21x=-36[/tex]
[tex]-9x=-36[/tex]
Divide both sides by -9.
[tex]\dfrac{-9x}{-9}=\dfrac{-36}{-9}[/tex]
[tex]x=4[/tex]
Now, the total number of animals at the beginning is
[tex]Total=3x+7x[/tex]
[tex]Total=10x[/tex]
[tex]Total=10(4)[/tex]
[tex]Total=40[/tex]
Therefore, the total number of animals at the beginning is 40.
please please complete it
Answer:
1. 14
2. 11
3. 19.5
4. 16
5. 76
6. 10
7. 2.5
8. 4.5
9. Mean: 10, Median: 9, Mode: 7
10. Mean: 6, Median: 7, Mode: 8,5
11. Mean: 10, Median: 11.5, Mode: 12
Step-by-step explanation:
Somebody help ASAP hurry
Answer:
540 divided by 9
Over estimated
Please mark as brainliest!
The perimeter of a regular hexagon is 24x + 48. Which expression below can represent the
length of one side?
А 3x + 6
B 6x + 12
c 4x + 8
D 8x + 16
Answer:
I believe it would be D, sorry if I didn't get it right!
Step-by-step explanation:
TRIANGLE SIMILARITY! pic included ***
A.
Each triangle has angles 42,48,90.
These numbers are common multiples of ________.
6, 12, 18, 36
A) 2 and 4
B) 2 and 3
C) 3 and 4
D) 4 and 6
From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
What are common multiples?
Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.
To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:
6 = 2 x 3
12 = [tex]2^2[/tex] x 3
18 = 2 x [tex]3^2[/tex]
36 = [tex]2^2[/tex] x [tex]3^2[/tex]
To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...
Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
To learn more about Common multiples from given link.
https://brainly.com/question/30060162
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Miss Penny inherits £1040
she decides to save some of the money and spend the rest
the ratio of savings to spending money is 5:8
how much does she save and how much does she spend
16m - (5 + 9m) which one is it
Answer:
B
Step-by-step explanation:
Answer:
B. 16m - 5 - 9m
Step-by-step explanation:
The "-" outside of the parentheses also can be interpreted as -1.
So multiply -1 with 5 and 9m within the parentheses.
That gets you 16m - 5 - 9m.
PLEEEASE HELP ME, QUICK!!!! ITS WORTH 20 POINTS!!!
tell me if the statement below is sometimes, always, or never true. justify your reasoning, (the Expressions x - 3 + y -3 represent the same value.)
Answer:
Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true
Step-by-step explanation:
We are given two expressions: x -3 and y - 3
Here x and y are two different variables.
These expressions are equal, when the value of x and the value of y are equal.
x - 3 = y -3 if x = y.
Therefore, the two expressions have the same value in sometimes.
That is, when x = y, then the value of two expressions are the same.
Example.
If x = 2 and y = 2, then
x - 3 = y - 3
2 - 3 = 2 - 3
-1 = -1
If they have different values, for x = 2 and y = 3
x - 3 = y - 3
2 - 3 = 3 -3
-1 = 0
Which is not true.
Therefore, the answer is sometimes.
If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years?
Answer:
1.516
Step-by-step explanation:
A Person Places Rs 500 in a Accout that is intrest compounded continuously Assuming no additional deposits or withdrawals, How much will be in the Account After seven years If the interest rate is Constant 8.5 percent for the first four year and a constant 9.25 percent for the last three years. So you get The percent 1.516
Here is an expression: 4•3^x
a. Evaluate the expression when x = 2
b. Evaluate the expression when x = 4.
Answer:
First one is 36 and second one is 324!!!
The science club has five female and five male students. The club will randomly select two people to compete in the upcoming science competition.
What is the probability that both people chosen are females?
StartFraction 1 Over 90 EndFraction
One-fifth
Two-ninths
One-fourth
Answer:
Step-by-step explanation:
(5/10)(4/9)=20/90=2/9
Two-ninths
Answer:
2/9
Step-by-step explanation:
I just answered it on edg.
Six friends share a 15 ounce bag of candy. Between what two whole numbers of ounces will each person get?
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that six friends share a 15 ounce bag of candy. The number of ounce gotten by each friend will be:
= 15/6
= 2 1/2 ounces
We can then deduce that 2 1/2 is between 2 ounces and 3 ounces
Find the 11th term of the geometric sequence 6, -18, 54,
Answer:
354294
Step-by-step explanation:
a₁ = 6 = 6 * (-3)⁰
a₂ = -18 = 6 * (-3)¹
a₃ = 54 = -18 * (-3) = 6 * (-3)²
a₁₁ = 6 * (-3)¹⁰ = 354294
PLEASEEEE HELP !!!!!!!!!!!!!!!!! Abanoub is using a machine to drill for oil that is 535 feet under the ground. The drill he is using is drilling at a rate of -35 feet per hour. How long did it take him to reach the oil? a 15.28 Hours b - 15.28 Hours c 18,725 Hours d -18,725 Hours
Answer:
a) 15.28 hours
Step-by-step explanation:
535/-35
≈-15.28
but time is always positive so it would take him 15.28 hours
Use the line plot below to determine the number of times less than 14 pieces of trash were collected at recess. A. 0 B. 5 C. 6 D. 9
Answer:
b
Step-by-step explanation:
because i helped your welcome
the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer. please help!
Answer:
x = 5 or -1
Step-by-step explanation:
let larger integer be: x
the smaller integer is: x-1
(x)(x-1)=5+3(x)
x^2-x-5-3x=0
x^2-4x-5=0
x = 5 or -1
PLEASE HELP THIS IS DUE IN 20 MINUTES
Describe fully the single transformation that maps shape A onto shape B.
y
4
A
2
1
B
-5 -4 -3 -2 -1 0
-1
1
2 3 4
X
5
-2
-3
-41
Total marks: 2
Answer:
I think shape A is just reflected, and make Shape B.
The reflection line is on 2 of the y axis
Step-by-step explanation:
Please help I’ll give brainliest if correct
Answer:
(-1, -13) is the correct answer
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answer:
x=-2
Step-by-step explanation:
add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...
pls help ill give brainliest to the PERSON WHO GETS IT RIGHT
Answer:
C) [tex]s\geq 5[/tex]
Step-by-step explanation:
The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.
Hope it helps!
Write all the factors of S 35. Use commas to senarate them 。
Answer:
All of the positive integers that can divide evenly into 35 (they are the factors) are:
1, 5, 7, 35
All others, like 2, 3, 13, ... create a remainder that is not 0.
Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1). They are:
5, 7
Step-by-step explanation:
The cost of 3 quarts of milk is $6.75. How many quarts can you buy with $20.25?
work out
a. 1 (meaning whole number) 1/5 + 3 (whole number) 2/5
b. 4 (whole number) 1/2 - 1 (whole number) 1/3
Answer:
4
Step-by-step explanation:
hbjhb
Solve for X. Please help ASAP. I have no idea how to do this and it’s due really soon!!
Answer:
x=4
Step-by-step explanation:
14=3x+2
Move all terms that don't contain x to the right side and solve.
The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item. (round to nearest hundredth or cent.)
Answer: 0.13
3 times 0.044 =0.13
Step-by-step explanation:
When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram of gold is worth $50.04. How much money is the gold coin worth?
20 POINTSSSSSSSSSSSSSS
FAST HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
1 garm = $50.04
7.5 gram = 50.04 × 7.5 = $375.3
Which measurement is the same length as 1 meter
Answer:
3 feet
Step-by-step explanation:
From the option available the measurement 1 meter is equal to 100 centimeters.
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
given the measurement is 1 meter
1 meter is equal to 100 centimeters
From unit conversion:
1 meter is also equal to 3.2808 feet
1 meter is also equal to 39.3701 inch
1 meter is also equal to 1000 millimeters
1 meter is also equal to 1.093 yards.
Learn more about unit conversion here:
https://brainly.com/question/19420601
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Complete question:
Scott wants to make orange juice he is going buy boxes of oranges
There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
Quadratic functions “q” and “w” are graphed on the same coordinate grid the vertex of the graph of “q” is 11 units below the vertex of the graph of “w”. Which pair of functions could have been used to create the graphs of “q” and “w”
A. Q(x) = 11 x^2 and w(x) = x^2
B. Q(x) = x^2 +11 and w(x) = x^2
C. Q(x) = -11x^2 and w(x) = x^2
D. Q(x) = x^2 -11 and w(x) = x^2