Gavin's dog had a litter of puppies. All of the puppies in this litter were either yellow or black. If there was one less black puppy, the ratio of yellow puppies to black puppies would be 2/3. If there was one more black puppy, the ratio of yellow puppies to black puppies would be 1/2. How many puppies were in the litter?

Answers

Answer 1

Answer:

Total number of puppies in the litter = 11

Step-by-step explanation:

Let the number of yellow puppies in the litter = y

And the number of black puppies in the litter = b

If there was one less black puppy, ratio of yellow to black puppies = [tex]\frac{2}{3}[/tex]

[tex]\frac{y}{b-1}=\frac{2}{3}[/tex]

2(b - 1) = 3y

3y - 2b = -2 -----(1)

If there was one more black puppy, ratio of yellow puppies to black puppies = [tex]\frac{1}{2}[/tex]

[tex]\frac{y}{b+1}=\frac{1}{2}[/tex]

2y = b + 1

2y - b = 1 -------(2)

Equation (1) - 2× equation (2)

(3y - 2b) - 2(2y - b) = -2 - 2

3y - 4y - 2b + 2b = -4

y = 4

From equation (1),

3×4 - 2b = -2

12 - 2b = -2

-2b = -14

b = 7

Total number of puppies in the litter = 7 + 4 = 11


Related Questions

what equation would make it a vertical line

Answers

Y=Mx+b always makes a straight line that can go in any direction


A line passes through the HELP ME PLEASE
point (4, -6) and has a slope of -3/4. Which is the equation of the line?
O y=-x-3
O y=-x-6
O y=-3x-
3
4
3
O y=-6x-

Answers

Answer:

i hope this helps

Step-by-step explanation:

ggbsus dvrjsjagaubs don't mind this

Sarah is planning to download music and has purchased a monthly package for $12.00 plus $0.60 for each song that she downloads. If Sarah’s bill this month totaled $39.00 how many songs did she download?

Answers

Answer:

Sarah downloaded 65 songs.

4.5+ (-4.5+ 2.6)
written by using the associative property

Answers

(4.5–4.5)+2.6 is the answer

Solve the following absolute value equation
| x+5 | = 11

Answers

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6

I hope this helps!


Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
C) 3x + 4y = 24
D) 4x + 3y = 24

Answers

Answer:

a

Step-by-step explanation:

The answer is a hope this helps

6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)

Answers

Answer:

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Step-by-step explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes

The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.

Given :

Expression  --  (40x + 30y)

The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):

Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).

Step 2 - Take the 10 common in the given expression.

= 40x + 30y

= 10(4x + 3y)

Step 3 - Also can take 2 common in the given expression.

= 40x + 30y

= 2(20x + 15y)

Therefore, the correct option is D) and F).

For more information, refer to the link given below:

https://brainly.com/question/25834626

John won 72 pieces of gum
playing hoops at the
county fair. At school he
gave four to every student
in his math class. He only
has 4 remaining. How
many students are in his
class?

Answers

18 Kids in his class you have to divide 72 by 4 which will give u 18

Answer:

Step-by-step explanation:

72 pcs gum - 4 remaining = 68 pcs of gum, 68 divided by 4

Divide 68 (amount of gumballs passed out to every student in Johns math class) by 4 (amount John gave to each student in his math class) = 17 Students in John math class Or 18 students when you include John.

Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica

Answers

Answer:

Step-by-step explanation:i need points sorry

i am too unmotivated to do any math even if its easy please help :)

Answers

Answer:

40% increase

Step-by-step explanation:

First, find the difference:

161-115=46

Then divide by the past price to get the percent increase:

46/115=.4=40%

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby. One day in early April, she left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house. At noon a call came in from the Derby saying she was in! Her father immediately jumped on his scooter and rides at a breezy 15 miles per hour to try and track her down and tell her the good news. On what scale would you measure the number of minutes the father must ride his scooter before catching up to his daughter? A. Hundreds B. Thousands C. Ten thousands D. Tens

Answers

The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

What is the rate?

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

Learn more about the rate here:

brainly.com/question/12786410

#SPJ2

if 3 kg of beans cost $1.50, how much does 2 kg cost

Answers

Answer:

2/3 of the price

Step-by-step explanation:

(4x5)3

Using the exponential notion and simplify pls

Answers

Evaluate or simplify?
It would be 8000 I think. I’m sorry if it’s wrong!

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee

What is the m< BAD? ( If you are confused look at the picture provided)

Answers

Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

What is the value of h(3)?

Answers

Answer:

1

Step-by-step explanation:

The value of h(3) basically means what y-value does the function h have when x=3 ?

Looking at the graph, when x is 3, the y value is 1.

h(3)=1

Solve for x number 9​

Answers

Answer:a

Step-by-step explanation:

Answer: B

Solving Steps:

can someone pls help with this i need help since Friday

Answers

Answer:

I'm pretty sure that A is right.

Step-by-step explanation:

They share a side, making them equal.  It is also shown that RQ and SR are equal.  This means that, for SAS, all you need is the angle in between them.

I hope this helps!

7+7 please help me i need help quick right away

Answers

Answer:

very funny and 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7 plus 7? how old are you?

4j+2=h solve for j please help

Answers

Answer:

j = [tex]\frac{h-2}{4}[/tex]

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = [tex]\frac{h-2}{4}[/tex]

Simplify the expression. (6x+1/2)+(3x-3 1/2)

Answers

Answer:

Have a Spoopy Halloween lol its 9x-3

Step-by-step explanation:

(6x+1/2)+(3x-3 1/2)

= 6x+3x-3 1/2+1/2

= 9x-3

Answer:

[tex]9x - \frac{6}{2} [/tex]

Step-by-step explanation:

[tex](6x+1/2)+(3x-3 \: 1/2) \to \\ ( 6x + \frac{1}{2} ) +( 3x - 3 \frac{1}{2} ) \to \\ 9x + \frac{1}{2} - \frac{7}{2} \to \\ 9x - \frac{6}{2} [/tex]

♨Rage♨

Choose the equations that are not linear equations.

A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4

Answers

D. X^2+y=4 is NOT a linear equation.

Step-By-Step Explanation:

The exponent in x^2 indicates this is a polynomial equatuon, because when graphed, it doesn't form a line.

Answer:

hello I'm getting free points

Rosa bought a storage container in the shape of a cube to store clothes. The storage container has a volume of 950 cubic inches. What is the
length of one side of the storage container? Estimate the length to the nearest integer.
inches

Answers

Answer:

10 in

Step-by-step explanation:

The length, height and width of a cube are always equal. Therefore, the length of one side of the storage container can be any of the side length of the cube.

Volume of cube is given as a³. Where, a = length of one of the sides

Given that the storage container has a volume of 950 in³, side length of one side is:

[tex] 950 = a^3 [/tex]

[tex] \sqrt[3]{950} = \sqrt[3]{a^3} [/tex]

[tex] \sqrt[3]{950} = a [/tex]

[tex] 10 = a [/tex] (nearest integer)

Length of one side = 10 in

A line passes through the point (8, -7) and has a slope of -3/4

Write an equation in slope-intercept form for this line

Answers

Answer:

y = -3/4x -7

Step-by-step explanation:

hope this helps!

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.

Answers

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

Factor 8x^{4}-46x^{2}+45
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

(4x^2-5) x (2x^2-9)

Step-by-step explanation:

01.) Write -46x^2 as a difference

8x^4-10x^2-36x^2+45

02.) Factor out 2x^2 from the expression

8x^4-10x^2 -36x^2+45

2x^2 * (4x^2-5) - 36x^2+45

03.) Factor out -9 from the expression

2x^2 * (4x^2-5) - 9(4x^2-5)

2x^2 *(4x^2-5)-9(4x^2-5)

04. Factor out 4x^2-5 from the expression

(4x^2-5) *(2x^2-9)

What is the slope of the line???
PLEASE HELP!?

Answers

The slope of the line is 3

11x - 8 = 4x - 3

solve for x​

Answers

Answer:

7×=5 ×=5/7

Step-by-step explanation:

Need help ASAP!!!!!!!

Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12


Pls answer ASAP

Answers

Answer: 5 and 12

Step-by-step explanation:

i did the quiz

Solve the inequality from part A for x. Then use the drawing tools to graph the solution set on the number line. Solving lenear equations

Answers

Answer:

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

➡️

Step-by-step explanation:

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

To learn more on inequality click:

brainly.com/question/24853349

#SPJ2

Plzs help me I give u brain list

Answers

Answer: am sorry but,

Step-by-step explanation: I can't see the picture...

Answer:

b (i think)

Step-by-step explanation:

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