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

Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP

Answers

Answer:

Atomic mass unit-

It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.

Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.

1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.

Atomic mass of an element = mass of one atom of the element / 1 amu

Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.

For ex-

Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.

Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.

Average Atomic weight (Mass)-

“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”

Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.

Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100

= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100

Average atomic mass= 12.011 amu

Molar volume –

Molar volume of a substance is volume occupied by 1 mole of that substance .

Molar volume of solid or liquid = molar mass / density

Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.

Gram atomic mass(weight) or gram atom –

“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”

Ex –

mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm

Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.

Hence, Gram atomic weight of oxygen = 16 gm.

No. of gram atoms = mass of element in gm / atomic mass of element in gm.

Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)

I know the page is a bit blurry so here’s what question 2 says:

Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?

the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9

Answers

Answer: 2:D     3: 1/3 of the fruit, or 80 oranges

Step-by-step explanation:

Answer:

Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1

Pls I need this ASAP! I’ll mark brainliest!



What is the sum of 4/10x + -1x + 1 7/10x?

Answers

Answer:

I think its 11x/10

Step-by-step explanation:

26 beats in 1/6 minute

Answers

Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156

Answer is 156 beats in one minute.

If 26 beats is in 1/6 of a minute, then multiply 1/6 by 6 to get 1. And multiply 26 by 6 to get 156.

solve the equation below for x

cx - 4 = 7


A. x = 11/c

B. x = c/11

C. x = c/e

D. x = 3/c

Answers

Answer:

x = 11/c

Step-by-step explanation:

cx - 4 = 7

Add 4 to each side

cx - 4+4 = 7+4

cx = 11

Divide each side by c

cx/c = 11/c

x = 11/c

Arrange the numbers in increasing order.



b.

14.204

14.200

14.240

14.210

Answers

Answer:14.200,14.204,14.210,14.240

Step-by-step explanation:

Which of the following describes a square root of 41?
A.between 5 and 6
B.between 6 and 7
C.between 20 and 21
D.between 40 and 42

Answers

Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

A person is shopping for cereal, oranges, and eggs at a grocery store. Which of the following is an INPUT in this scenario?

The number of cereal boxes purchased
The cost per pound of oranges
The amount paid for eggs

Answers

Answer:

i got this on edg its b

Step-by-step explanation:

6 2/3 * -4 1/5 i really need help

Answers

Answer:

-28

Step-by-step explanation:

6 2/3*-4 1/5=

20/3*-21/5=

4/3*-21/1=

4/1*-7/1=

-28

10) Choose the correct answer.
Simple Inequalities:



please help

Answers

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

3 90 Which is the best estimate of 7 A 2 B 6 C 12 D 24​

Answers

Answer:

C 12 is the best estimate

Step-by-step explanation:

Which one?
A. B. C. or D? ​

Answers

Answer:

I think that the answer is D

Step-by-step explanation:

Solve for x in this inequality: -13 < 3x – 7 < 5

Answers

Answer:

−2<x<4

Step-by-step explanation:

You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell above the water after seconds. How long is the seashell in the air? Round your answer to the nearest tenth.

Answers

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

Height of seashell above water after t seconds; h = 40 - 8t²

Time that seashell is in air; t = 1.58 s

The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;

S = ut + ½gt²

Since it was dropped from a height and not the ground, then;

h = height of shell from ground

h_o = height from which the shell was dropped.

Thus, we have;

h - h_o = ut + ½gt²

We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;

h_o = 40 ft

It was dropped from rest and so; u = 0 ft/s

Acceleration due to gravity is; g = -32ft/s² (since it is free fall)

Thus;

h - 40 = 0(t) + ½(-32t²)

h = 40 - 8t²

The time that the seashell in the air will be after it has hit the surface which will be when h = 0.

Thus;

0 = 40 - 16t²

16t² = 40

t² = 40/16

t² = 2.5

t = √2.5

t = 1.58 s

Read more at; brainly.com/question/17576926

Two angles are supplementary. One angle measures 26° Find the measure of the other angle.

Answers

Supplementary means it has to equal 180 all together so 180-26=154.
The other angle is 154 degrees
When an angle is supplementary, it means that they combine to 180 degrees. If you know that and the angle measure of the other angle, you can set up the equation 180=angle1+angle2. For this problem, the equation would be 180=26+angle2. Subtract 26 from both sides, and you get that the second angle is 154 degrees.

4
The temperature at 6:00 P.M. is 70°F. The
temperature will drop 6°F each hour. Write an
equation in slope-intercept form that models the
temperature in y degrees Fahrenheit after
x hours.
O A y= 70x – 6
B y = 6x - 70
Oc y=-6x – 70
OD y=-6x + 70

Answers

Answer:

Step-by-step explanation:

D

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%

Step-by-step explanation:

1) Students playing atleast one sport = 28 - 6 = 22

2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4

3) Number of students playing both basketball and baseball = 4

Total number of students = 28

Probability of a student playing both basketball and baseball is 4/28

4/28= 0.1428571429 x 100%= 14.3%

Answer:4/28

Step-by-step explanation:4/28

If n is an odd integer, which equation can be used to find three consecutive odd integers whose sum is 15?

Answers

Answer:

n+(n+2)+(n+4)=15

Step-by-step explanation:

Let n= the smallest odd integer

n+(n+2)+(n+4)=15

n=3

An equilateral triangle has a side length of 16 cm work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer:

110.9 cm²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex]  ( s is the side length )

Here s = 16, thus

A = [tex]\frac{16^2\sqrt{3} }{4}[/tex]

   = [tex]\frac{256\sqrt{3} }{4}[/tex] = 64[tex]\sqrt{3}[/tex] ≈ 110.9 cm² ( to 1 dec. place )

It takes Amelia one minute to swim 1/60 of a kilometer.how far can she swim in 12 minutes

Answers

1/5 kilometers
take 1/60 and multiply by 12, then simplify

PLEASE LEND ME A HAND! I NEED IT BADLY!!!

Answers

Answer:

The first one is A

The second one is B

ASAP ASAP ASAP
PLEASE HELP ME

Answers

Answer:

d

Step-by-step explanation:

Answer:

I rlly don't know how to help you bruh

Step-by-step explanation:

Why I can't understand the question and as to what they mean by if you fold it as shown though i know they probably mean where the shapes on the side are I say find someone else or take a wild guess.

Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.

Answers

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 290 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.

Answers

Step-by-step explanation:

The random variable (x) here would be a randomly selected student from the college that is left-handed.The population parameter would be 11% of America's total population. The total population as of 2019 is believed to be 328.2 million, and 11% of that figure is about 36.1 million (thirty-six million one hundred thousand).Hypotheses: Remember, the null hypothesis usually reflects the held view of the researcher, and since we are told the college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population. It could read; There is a statistically significant difference in the percentage of left-handers in the college than the American population. While the alternate hypothesis could read; There is no statistically significant difference in the percentage of left-handers in the college than the American population.The Type I error implies rejecting the null hypothesis when it is actually true. That is: Rejecting that the % of all students from that college that are left-handed is 11 % when the % is really 11 %.The Type II error implies accepting the null hypothesis when it is actually false. That is: Failing to reject that the % of all students from that college that are left-handed is 11 % when the % is actually different.

rico bought 3.4 pounds of coffee that cost $6.95 per pound how much did he spend on coffee?
estimate: 18-28, 22-38, 36-50, or 8-18
solution: ??

Answers

Answer:

$23.63

Step-by-step explanation:

Your just adding decimals if I understood the question. So basically you just multiply 6.95 by 3 which gets you 20.85.

And then you divide 6.95 by 10 which is .695, and then multiply that by 4 which gets you to 2.78.

So now you just add those two up

20.85 + 2.78 = 23.63

Your welcome :)

Yours truly, Madison Estrella


(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.

Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math

Answers

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

what is 5 groups of 3

Answers

5 groups of 3 is 3 groups of 5 or a total of 15

Answer:

That is like 3x5 which is 15

Step-by-step explanation:

Find the Value of 2a2+5b2

Answers

Answer:

I get 92 but not really sire

Find 1/20 of 180 dollars

Answers

9, since 1/20 can be represented as 0.05, and 0.05 x 180 = 9


Hope it helps!

Answer:

9

Step-by-step explanation:

180÷20=9.

Could I please have BRAINLIEST?

Is the statement true or false

Answers

Answer:

it is false

Step-by-step explanation:

False


-3 is lesser on the number line so remember "The Alligator" wants the higher number :)
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