2) There are 45 dogs and 30 cats at the animal recovery center. Of these animals, there are 16 colored dogs and 8 solid cats. What percentage of the animals are solid colored?

Answer:

Not proportional

Step-by-step explanation:

Hope it helps you in your learning process.

[tex] \frac{6}{6}=1\\\\

\frac{8}{24}= \frac{1}{3}\\\\

\frac{10}{50}= \frac{1}{5}\\\\

\frac{12}{84}= \frac{1}{7}\\\\

\therefore \frac{6}{6}\neq \frac{8}{24}\neq \frac{10}{50}\neq \frac{12}{84}[/tex]

Hence, given ratios are not proportional.

Answer:

336.

Step-by-step explanation:

8 x 7 x 6 = 336.

Feel free to let me know if you need more help! :)

Answer:

Step-by-step explanation:

The equation is already in standard form [ ax² + bx + c = y ] so we can find the values of each variable.

a = 1

b = 10

c = 3

y = 0

Quadratic formula: [tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Solve using the formula:

[tex]x=\frac{-10+-\sqrt{10^2-4(1)(3)} }{2(1)}[/tex]

[tex]x=\frac{-10+-\sqrt{100 - 12} }{2}[/tex]

[tex]x=\frac{-10+-\sqrt{88} }{2}[/tex]

[tex]x=-5+-\sqrt{22}[/tex]

Therefore, the answer is [ x = -5 ± √22 ]

Best of Luck!

Answer:

18

Step-by-step explanation:

6*3=18

Answer: 18

Step-by-step explanation: It's easy, you have to divide in order to get 18.

Answer:

yea i think yea yes yes yes yes

Final answer:

Yes, repeating decimals can be expressed as fractions using a simple algebraic equation.

Explanation:

Yes, repeating decimals can be expressed as fractions. To represent a repeating decimal as a fraction, you can use a simple algebraic equation. Let's take an example:

Consider the repeating decimal 0.3333... Now, let x be the number we want to express as a fraction. We can multiply both sides of the equation by 10 in order to move the decimal point to the right and eliminate the repeating part:

x = 0.3333...

10x = 3.3333...

Now, we subtract the two equations to eliminate the repeating part:

10x - x = 3.3333... - 0.3333...

Combining like terms:

9x = 3

Finally, dividing by 9 gives us the fraction representation of the repeating decimal:

x = 3/9 = 1/3

Answer:   888+88+8+8+8 = 1,000

Step-by-step explanation: First of all line all your eights' up and then split them

To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200.

To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200. Here's how:

Now, you have 24 and 32, which add up to 56. Finally, add 800 and 200, which equals 1000.

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Answer:

A. 57.6

Step-by-step explanation:

6 times 5.2 is 31.2. 4 times 5 is 20. 6 times 5 is 30. 6 times 5 is 30. (31.2/2)+(20/2)+30= 55.6 Then you round nearest tenth. 57.6.

Answer:

Aa 57.6

Step-by-step explanation:

It is correct

correct on E D G E N U I T Y

Answer:

Yes

Step-by-step explanation:

[tex]3\sqrt{124} = 3\sqrt{4} \sqrt{31} \\\sqrt{4} = 2\\ 3*2\sqrt{31}=6\sqrt{31}[/tex]

Answer:

.17

Step-by-step explanation:divide 17 by 100 hope this helps god bless

Answer:

0.17

Step-by-step explanation:

Answer:

A.)129/7

Step-by-step explanation:

25/4 + 24/7 + 35/4

I will add the two with common denominator together first

25/4 + 35/4     +24/7

60/4   +24/7

15  + 24/7

We need to get a common denominator of 7

15 *7/7  + 24/7

105/7  + 24/7

129/7

Answer:

y = 2m-5

Kim's age now is y = 2m-5

Step-by-step explanation:

Let m represent martas age now and y represent Kim's age now

Given;

Five years ago Kim's age was twice as great as martas age.

(y-5) = 2(m-5)

Solving for y;

y-5 = 2m-10

y = 2m-10+5

y = 2m-5

Kim's age now is y = 2m-5

Final answer:

Kim's current age is represented by the expression 2m - 5, where m is Marta's current age. This is determined by considering the age difference and relationship of their ages five years ago.

Explanation:

The question is about determining Kim's current age given that Marta is currently m years old and five years ago Kim's age was twice that of Marta's. To solve this, we can follow these steps:

Let's represent Marta's age five years ago as m - 5.

Since Kim's age was twice Marta's age five years ago, we express Kim's age at that time as 2(m - 5).

To find Kim's current age, we add five years to her age at that time: 2(m - 5) + 5.

Simplifying the expression gives us Kim's current age as 2m - 5.

Therefore, the expression that represents Kim's age now, given that Marta is m years old, is 2m - 5.

Answer:

There are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .

Step-by-step explanation:

The ratio of the boys in school A and the boys in school B is 1:3

Let the ratio be x

No. of boys in School A = x

No. of boys in School B = 3x

We are given that The number of boys in school B is 200 higher than the number of boys in school A.

So,[tex]x+200=3x[/tex]

[tex]200=3x-x[/tex]

[tex]200=2x[/tex]

[tex]\frac{200}{2}=x[/tex]

100=x

So, No. of boys in School A = x = 100

No. of boys in School B = 3x =3(100)=300

We are given that the ratio of the girls in school A and the girls in school B is 3:5.

Let the ratio be y

So, No. of girls in School A = 3y

No. of girls in School B = 5y

So, Total No. of students in School A= No. of boys in school A + No. of girls in school A=100+3y

Total No. of students in School B= No. of boys in school B + No. of girls in school B=300+5y

We are given that The number of pupils in school A is equal to half the number of pupils in school B.

So, [tex]100+3y=\frac{1}{2}(300+5y)[/tex]

[tex]200+6y=300+5y[/tex]

[tex]y=100[/tex]

No. of girls in School A = 3y=3(100)=300

No. of girls in School B = 5y=5(100)=500

Hence there are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .

Answer: 100 boys, 300 girls in School A. 300 boys,500 girls in School B

Step-by-step explanation:

Answer:

4.5 kg

Step-by-step explanation: if you have 4.050 take off the zero and it is only 4.05 which is less then 4.5 or 4.50

Final answer:

When comparing 4.5 kg to 4.050 kg, 4.5 kg is the larger weight since both are in kilograms and 4.5 is greater than 4.050.

Explanation:

The question asks which number is larger, 4.5 kg or 4.050 kg. In the metric system, weights are compared directly as they are expressed in the same units. Here, we compare 4.5 to 4.050. Since 4.5 can also be thought of as 4.500 when considering the decimal places, it becomes clear that 4.5 kg is the larger value because both represent kilograms, and 4.5 is greater than 4.050.

Answer:

23.5

Step-by-step explanation:

you put it in order and find the middle in this case is  23 and 24 then you add them and divide by two and get 23.5

Answer:

I had to look up the problem B4 because your image doesn't show the rest of the information

B4 = 12

B5 = 1,738

Step-by-step explanation:

if you need help on any other questions on this, i can't see them in the image

The functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

h(x) = (x - 1)²

The range of the function:

y ≥ 0

The function increases over the interval (1, ∞)

The function decreases over the interval (-∞, 1)

g(x) = -(x + 1)(x -1)

The range of the function:

y ≤ 1

The function increases over the interval (-∞, 0)

The function decreases over the interval (0, ∞)

Thus, the functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.

Learn more about the function here:

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Answer:

huma's share= Rs.864

Seema's share= Rs.432

Hubna's share= Rs.720

Step-by-step explanation:

Considering 'x' as the share of huma

Therefore , Seema's share will be x/2

And Hubna's share will be 5/3 * x/2 => 5x/6

Total money given in the problem is Rs.2016

In order to find the share of individual, we first have to determine 'x' variable by taking the sum of all shares.

x+x/2+5x/6=Rs.2016

(6x+3x+5x)/6=2016

14x/6=2016

x=2016 * 6/14

x=864.

Therefore,huma's share 'x' will be Rs.864

Seema's share will be = x/2 = Rs.432

And Hubna's share will be = 5x/6= Rs.720

Answer:

Step-by-step explanation:

on the box chart it shows that shelter A has the lightest dog

hope i helped :D

Answer:

shelter A. shelter B. Both shelters have a dog with the lowest weight of 8 pounds.

Step-by-step explanation:

Hope this helps :)

Answer:

The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Step-by-step explanation:

Given

μ = Mean = 10.4 lb

σ = Standard deviation = 3 lb

Using a confidence level of 90%,

We'll need to first determine the z value that correspond with bottom 5% of consumption of banana

α = 5%

α = 0.05

So,

zα = z(0.05)

z(0.05) = -1.645 ----- From z table

Let x represent the largest annual per capita consumption of bananas

The relationship between x and z is

x = μ + zσ

By substitution;

x = 10.4 + (-1.645) * 3

x = 10.4 - 4.935

x = 5.465

Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Answer:

a) pi/3

Step-by-step explanation:

-11pi/3 + 4pi

(-11+12)pi/3

pi/3

Answer:

A

Step-by-step explanation:

We see that the angle is -11[tex]\pi[/tex]/3, which means that when drawing this angle on the graph, we need to move clockwise from 0 (see the drawing).

We see that this angle is actually the exact same as an angle in the first quadrant. This angle is [tex]\pi[/tex]/3.

Thus, the answer is A.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

(3x + 5)(x + √3)(x - √3)

Answer:

a = 4

Step-by-step explanation:

(3x+5) is a factor of the polynomial (a-1)x³ + (a+1)x² - (2a + 1)x - 15

Means x = -5/3 is a root

(a-1)(-5/3)³ + (a+1)(-5/3)² - (2a + 1)(-5/3) - 15 = 0

-125a/27 + 125/27 + 25a/9 + 25/9 + 10a/3 + 5/3 - 15 = 0

a(-125/27 + 25/9 + 10/3) = 15 - 5/3 - 25/9 - 125/27

a(40/27) = 160/27

a = 4

Answer:

The answer to your question is 2046 in²

Step-by-step explanation:

Data

length = 30 in

base = 24 in

hypotenuse = 25 in

Process

1.- Calculate the height of the triangle using the Pythagorean theorem

          c² = a² + b²

-Solve for b

          b² = c² - a²

-Substitution

           b² = 25² - 24²

-Simplification

           b² = 625 - 576

-Result

            b² = 49

            b = 7 in

2.- Calculate the area of the base

Area = base x height

Area = 24 x 7 x 2

        = 336 in²

3.- Calculate the lateral area

Area = 30 x 25 x2

        = 1500 in²

4.- Calculate the last area

Area = 30 x 7

        = 210

5.- Final area

Total area = 210 + 1500 + 336

                 = 2046 in²

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

[tex]\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}[/tex]

Volume of cone =

[tex]V = \dfrac{1}{3}\pi r^2 h[/tex]

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})[/tex]

Putting values, we get,

[tex]\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}[/tex]

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

Final answer:

The volume of a cone can be found using the formula V = πr²h³. To find the rate at which the volume is increasing, we differentiate the volume formula with respect to time and substitute the given values into the derivative formula. The volume is increasing at a rate of 15552π cubic centimeters per second.

Explanation:

To find the rate at which the volume is increasing, we need to differentiate the volume formula with respect to time.

Let's differentiate the volume formula V = πr²h³ with respect to time t:

dV/dt = π(2rh³(dr/dt) + r²h²(dh/dt))

Given that dr/dt = dh/dt = 12 cm/sec, r = 6 cm, and h = 9 cm, we substitute these values into the derivative formula:

dV/dt = π(2(6)(9³)(12) + (6²)(9²)(12))

dV/dt = π(11664 + 3888)

dV/dt = 15552π

Therefore, the volume is increasing at a rate of 15552π cubic centimeters per second.

Answer:

Step-by-step explanation:No if you use soh cah toa

There are 4 out of the 7 cards that are odd numbers.

As a fraction: 4/7

As a percent: 57.14%

As a decimal: 0.57

Answer:

400

Step-by-step explanation:

Answer:

800*400/80=400

Step-by-step explanation:

To work this out you would first start with 40/80. This is because when using BODMAS / BIDMAS you would start with whatever operation that comes first out of all the operations in the question. This gives you 0.5. Then you would multiply 0.5 by 800, this gives you 400.

1) Find what operation you should do first.

B- Brackets

O -Orders

D-Division

M-Multiplication

A-Addition

S-Subtraction

2) Divide 40 by 80.

[tex]40/80=0.5[/tex]

3) Multiply 0.5 by 800.

[tex]0.5*800=400[/tex]

Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.

A quadratic function is defined in the form:

y= f (x) = ax² + bx + c

Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.

That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.

The maximum or minimum is reached in [tex]xv=\frac{-b}{2a}[/tex]  

The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).

In this case, the function is:

h(t)= -16t² + 400t

where t is the time in seconds

Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.

You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: [tex]t=\frac{-b}{2a}[/tex]

So: [tex]t=\frac{-400}{2x(-16)}[/tex]

Solving:

[tex]t=\frac{-400}{-32}[/tex]

t= 12.5 seconds

It takes 12.5 seconds for the projectile to reach maximum height.

Learn more about cuadratic function with this examples:

Answer: Option "B" is correct.

Step-by-step explanation:

Since we have given that

α= 0.10

Let the population variances are equal and samples are random and independent.

Let [tex]\bar{x}[/tex] be the mean amount spent by a customer at Burger Stop.

Let [tex]\mu[/tex] be the mean amount spent by customer at Fry World.

So, it has given that

the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.

So, Hypothesis would be :

[tex]H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu[/tex]

Hence, Option "B" is correct.