The ratio of dogs to cats in a zoo choir is 4 : 3. There are 6 more dogs than cats. If another 2 cats join the choir, what will be the new ratio of dogs to cats?

Answers

Answer 1

Answer:

6:5

Step-by-step explanation:

c = number of cats

d = number of dogs

d = c+6

Set up a ratio:

4/3 = d/c

Then replace d with c+6, so your equation only has one variable.

[tex]\frac{4}{3} = \frac{c+6}{c}[/tex]

Cross multiply

4c = 3(c+6)

Multiply everything in the parentheses by 3.

4c = 3c + 18

Subtract 3c from both sides

4c - 3c = 18

c = 18

d = c + 6 = 18 + 6 = 24

If 2 more cats join, then you will have 20 cats and 24 dogs, so the ratio of dogs to cats will now be 24:20.  Divide each side by 4 for a ratio of 6:5.


Related Questions

whats the sum to 4/6 4/6

Answers

The sum of 4/6 is 90 so if you need two 4/60 the 90* 2

In the given problem, the sum of [tex]\frac{4}{6}[/tex] and [tex]\frac{4}{6}[/tex] is [tex]\frac{4}{3}[/tex].

The sum is the result of adding two or more numbers or terms. In other words, it is the process of bringing two or more numbers together to produce a new result or total. The symbol for the sum is "+".

The sum can be performed on any kind of number, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The rules for addition are the same for all types of numbers.

To find the sum of [tex]\frac{4}{6}[/tex] and [tex]\frac{4}{6}[/tex],

[tex]\frac{4}{6}[/tex] +  [tex]\frac{4}{6}[/tex] = 2 [tex]\times \ \frac{4}{6}[/tex]

        = [tex]\frac{4}{3}[/tex].

So, [tex]\frac{4}{6}[/tex] +  [tex]\frac{4}{6}[/tex] = [tex]\frac{4}{3}[/tex].

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A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation.

Answers

Answer:

1.7 x 10-5

Hope This Helps!

Hannah opened a bank account. She placed $120 into the bank account and added $30 per week. Now she has $450 in her account. A. Write an equation that represents her savings. B. Find the number of weeks that have passed since she opened her savings account. Explain how you arrived at your answer

Answers

The equation that represents her savings is $450 = $120 + $30n.

The number of weeks that have passed since she opened her savings account is 11 weeks.

What equation represents her savings?

Total amount saved = amount initially deposited + (amount added weekly x number of weeks)

$450 = $120 + $30n

Where n = number of weeks

In order to determine the value of n, take the following steps:

Combine similar terms = $450 - $120 = 30n

$330 = 30n

Divide both sides by 30

n = 11 weeks

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Pi is the number of times a circle’s diameter will fit around its.

Answers

Answer: yes

Step-by-step explanation: pi is 3.14(on and on)

Tammy made 12 paper cranes in 3 days. Find the unit rate. Please provide a tape diagram

Answers

12/3 = 4/1 is the unit rate 4 cranes in 1 day

Answer:

To find the unit rate, we must find how many cranes Tammy made in one day.

12 (cranes)       4 cranes

_________ = ________, he makes 4 cranes per day.

   3 days             1 day

Tape diagram provided;

A box is 1/5 inch taller than it is wide

Answers

hello are we solving for the width?

Find the slope of the line passing through the points (-4, -4) and (2, 5)​

Answers

Answer: The slope is 3/2

Step-by-step explanation:

To find the slope, you need to find the difference between the y coordinates and  divide it by the difference in the x coordinates.

The y coordinates are  -4 and 5

The x coordinates are  -4 and 2

-4 -5 = - 9

-4 - 2 = -6

-9/-6 =  3/2

List the following fractions in order from least to greatest ½ ¾ 3/8 5/8 5/16 7/16 9/16 and 11/16

Answers

Answer:

3/8,5/8,9/16,7/16,11/16,5/16,3/4,1/2

Step-by-step explanation:

Please help!! :) Thank you!

Answers

Let's complete the square

f(x) = x^2 + 6x + 8

y = x^2 + 6x + 8

y-8 = x^2 + 6x

y-8+9 = x^2+6x+9 .... see note below

y+1 = (x+3)^2

y = (x+3)^2-1

note: I added 9 to both sides due to taking half of the 6, and then squaring that result.

We'll restrict x such that [tex]x \ge -3[/tex] to ensure that this function is one-to-one.

Now we need to swap x and y, and solve for y to get the inverse

y = (x+3)^2 - 1

x = (y+3)^2 - 1

x+1 = (y+3)^2

(y+3)^2 = x+1

y+3 = sqrt(x+1)

y = sqrt(x+1)-3

g(x) = sqrt(x+1)-3     is the inverse

The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.

what is 346924632968/33656

Answers

Answer:

Your answer is 10307957.956 :)

Step-by-step explanation:

346924632968/33656 = 10307957.956

have an amazing day!!

Please rate and mark brainliest!!

The correct answer: is 10307957.956:).

PLEASE ANSWER QUICK. LOTS OF POINTS
By graphing the system of constraints, find the values of x and y that maximize the objective function.
2= 1= x+y=<8
maximize for P=3x+2y
A) (2, 1)
B) (6, 2)
C) (2, 5)
D) (3, 5)

Answers

Answer:

c is the answer I'm sure

Helpppppp meeeeeee pleaseeeeee !!!!

Answers

Answer:

which number?

can you tell us please

Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represented by. The tiles represent an unknown number.

Answers

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

What are algerbra tiles?

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -3.

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

Answer:

Use the algebra tiles to model x – 3.

Then complete the statements.

The variable is represented by

✔ one orange x tile

Subtracting three is represented by

✔ three blue – tiles

.

The tiles represent

✔ subtracting 3 from

an unknown number.

Step-by-step explanation:

Which statement about a right triangle is NOT true
The hypotenuse is the longest side of the triangle.The square of the hypotenuse is equal to the sum of the squares of the other two lengths.
The sum of the length of the two legs is equal to the length of the hypotenuse.
The hypotenuse is always opposite the largest angle of the triangle.

Answers

Answer:

The sum of the length of the two legs is equal to the length of the hypotenuse.

The set of ordered pairs
below has a linear relationship
between x and y. Which one of the
following functions can represent
this set of ordered pairs?
{(0,-5), (2, 3). (3,7). (5,5)}

A: y= 4x - 5

B: y= 4x + 5

C: y= -4x - 5

D y= -4x + 5​

Answers

Answer:

Recommendation: Try using the online graphing calculator Desmo and try to see if you can get your answer by entering the equations. desmo is free.

A math book is 2.9 dm wide.


How many millimeters wide is the book? (1 dm = 100 mm)


Enter your answer in the box.

Answers

Answer:

290mm

Step-by-step explanation:

Conversion. 2.9dm x (100mm/1dm)=290 mm

What is the total length, in inches, of the longest piece and shortest piece of ribbon?

Help?!

Answers

Answer:

Step-by-step explanation:

12x3+14[tex]\frac{2}{4}[/tex]x2+14[tex]\frac{3}{4}[/tex]

total length would be 79.75 inches

the longest length of rope would be the farthest right one, or 14.75

and the shortest one would be the 3 pieces of 12 inches.

i hate how the intervals are set up for this problem lol.

please rate and mark as brianlest.

What is the rate of change for this table?

Answers

Answer: 3

Step-by-step explanation: rate of change is y/x and the y/x is 6/2 which equals 3/1 or 3.

Daniel had 1,868 in his bank account before he left for North Carolina. He wrote a check for $710 to pay his monthly truck payment. He also wrote a check for $224.89 to Farm Bureau Insurance Company for his truck insurance. When he got home from North Carolina he deposited his paycheck in the amount of $4,020.67. What was the balance in his bank account after he deposited his paycheck?

Answers

Answer:

4,953.78 dollars. I think

Without using a calculator, fill in the blanks with two consecutive integers to complete the in equality

Answers

Answer:

[tex]\sqrt{16} < \sqrt{17} < \sqrt{18}[/tex]

Step-by-step explanation:

Answer:

[tex]4 < \sqrt{17} < 5[/tex]

Step-by-step explanation:

Mumble. The square root is something called "monotonic", which means that [tex]a > b \Leftrightarrow \sqrt a > \sqrt b[/tex]

A neat trick to solve this will be: go back from 17 till you find a perfect square, then add 1 to it:

In our case it's easy to do it, since the number before 17 is a perfect square already ([tex]16=4^2[/tex]), so we can pick it as the lower bound, and then add 1 to the base to find the next one ([tex]4+1= 5)[/tex]

Work out the size of an interior angle of a regular polygon with 24 sides.

Answers

Answer:

165°

Step-by-step explanation:

First, we need to find the sum of all the interior angles in the 24-sided polygon.

The equation for that is: 180 (n-2)

[n represents the number of sides]

180 (24-2)

180 (22)

3960

Then to find the measure of a single interior angle, just divide 24 from 3960.

3960 ÷ 24 = 165

Please! I need help! ASAP!

Answers

2 solutions (2 intersection points)

and the solutions

(4 ; 5) and (0 ; - 3)

Name the ordered pair for point H. 5 dots plotted on a coordinate plane. Point A is 5 units above and 4 units to the right of the origin. C is 4 units above and 5 units to the right of the origin. H is 3 units above and 1 unit to the right of the origin. K is 1 unit above and 3 units to the right of the origin. And N is 0 units above and 2 units to the right of the origin.

Answers

Answer:

Point H is (1,3)

Step-by-step explanation:

The x co - ordinate lies to the right and the y co-ordinate lies above . We are given  H is 3 units above and 1 unit to the right of the origin  so the co-ordinates of H  are ( 1,3).

As this particular order (x,y) is used to represent the the point it is called ordered pair.

The ordered pairs of the other points are

Point A is (4,5)

Point  C is (5,4)

Point H is (1,3)

Point K is (3,1)

Point N is (2,0)

Henry enjoys watching his pet frog hop.
Each time his frog hops, Henry skip-counts backward by 100s.
Henry starts his first count at 815.
How many times does his frog have to jump to get to 15?
Explain your thinking below.

Answers

8 times does his frog have to jump to get to 15.

Why do frogs hops?The frog jump is a plyometric exercise that primarily works your quads, glutes, and hip flexors. This exercise strengthens the wrists, ankles, knees, hips, and ligaments in the joints. It also stretches your hips and ankles while strengthening your legs and lower back muscles.Frogs jump and hop around using their long, strong legs. Toads, on the other hand, prefer to walk rather than hop. They only move modest distances when they jump or hop. As a result, they don't require long legs like a frog, hence their legs are quite short.

The starting number is 815.

the frog hops once (715)

2nd (615)

3rd  (515)

4th  (415)

5th  (315)

6th  (215)

7th (115) and

one last time (15) there are 8 numbers.

No. of Times = (815-15)/100 = 8 times.

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Look for Relationships Does this system have one solution, no solutions,
or infinitely many solutions?
Write another system of equations with the
same number of solutions that uses the first equation only.


12x + 51y = 156

-8x - 34y = -104

Answers

simultaneous equations

someone help me please!
i need the slope to this
(1,6) and (3,8)=

Answers

The slope is of (1,6) and (3,8) is 1 because I said it is

What is substitution?

Answers

Answer:

to put a letter in the place of a number

Step-by-step explanation:

Explain how to solve the equation
.
b – 7 = 12

Answers

Answer:

b=19

Step-by-step explanation:

Given:

b-7=12

Adding 7 to both sides

b-7+7=12+7

b=19

Answer:

b = 19

Step-by-step explanation:

The easiest way to solve equations like this is to do something referred to as "undoing in reverse order." Now, to undo subtraction, you have to add.

b - 7 = 12

b - 7 (+ 7) = 12 (+7)

b = 19

Therefore, the answer is 19.

Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies? Choose 1 answer: Choose 1 answer: (Choice A) A They have too much butter. (Choice B) B They don't have enough butter. (Choice C) C They have the right amount of butter.

Answers

Answer:

(Choice A) A They have too much butter.

Step-by-step explanation:

Victoria's favorite cookie recipe

Grams of butter : grams of flour

= 170 : 250

= 170 / 250

= 17 / 25

Victoria's daughter made cookie

Grams of butter : grams of flour

= 340 : 400

= 340 / 400

= 34 / 40

= 17 / 20

(Choice A) A They have too much butter

Victoria will think her daughter's cookies have too much butter

Answer:

a

Step-by-step explanation:


Solve for X
13
6
2x – 18
U
4x - 29
PLEASE HELP!

Answers

Answer:

x = 15

Step-by-step explanation:

SV = ST + TU + UV , substitute values

4x - 29 = 13 + 6 + 2x - 18 , that is

4x - 29 = 2x + 1 ( subtract 2x from both sides )

2x - 29 = 1 ( add 29 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

The points S, T, U, and V are collinear points. Then the value of the variable x will be 15.

What are collinear points?

If the points are in a line, then the points are collinear points.

Let A, B, C, and D are collinear point. Then the condition of the collinear will be

AB + BC + CD = AD

The line segment SV is given.

And the point T and U lies on the line segment SV.

The length of ST is 13, the length of TU is 6, the length of UV is 2x - 18, and the length of SV is 4x - 29.

It is clear that the points S, T, U, and V are collinear points.

 ST + TU + UV = SV

13 + 6 + 2x - 18 = 4x - 29

              2x + 1 = 4x - 29

                   2x = 30

                      x = 15

The value of the variable x will be 15.

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