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3 years ago

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In a pet rescue shelter, 50% of the animals are cats and 40% of the cats are black. What percentage of the animals at the shelte

r are black cats?

2 answers:

melamori03 [73]3 years ago

7 0

Answer:

20

Step-by-step explanation:

soldier1979 [14.2K]3 years ago

4 0

Answer:

20% are black cats.

Step-by-step explanation:

This is 40% of 50%

= 0.40 * 0.50

= 0.20

= 20%

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One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as

Rudiy27

Answer:

Below given.

Step-by-step explanation:

162 total guests.
3 servers

Let the number of guests the second server helped be x.

then the first server helped 3x

then the third server helped [(3x)*2] = 6x

Equation in total:

6x + 3x + x = 162

10x = 162

x = 16.2

First server helped: 3 * 16.2 = 49 guests

Second server helped: 16 guests

Third server helped: 6x = 6(16.2) = 97 guests

6 0

2 years ago

Chris sharpened 3 boxes of pencils. There are 12 pencils in each box. 7 pencils broke. How many sharpened pencils does Chris now

tester [92]

there would be 29 pencils left because 3 * 12 is 36 minus 7 is 29

3 0

3 years ago

Read 2 more answers

On a trip, Alexander bought a ping-pong racket for $13. With the tax, he paid $14.04. What is the tax rate, in percent?

Fed [463]

Answer:

8% tax rate.

Step-by-step explanation:

$\frac{14.04}{13} =1.08$

The 8% (0.08) is the tax rate because the 100%, or 1.00, is the original price of the racket, which was $13.

6 0

3 years ago

Read 2 more answers

I need to graduate please.<br>Which expression is a perfect cube?<br> x^8<br> y^24<br> m^26<br> s^64

myrzilka [38]

Remember
$(a^b)^c=a^{bc}$

note that if $a^3$ is a perfect cube then $(a^3)^c$ is also a perfect cube when c is an integer

$(a^3)^c=a^{3c}$
so if a number is a perfect cube then the power must be divisible by 3

8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3

the perfect cube is y^24

8 0

3 years ago

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

l is length
w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle l = 10 \ meters$ <u />

<u /> $\displaystyle \frac{dl}{dt} = 4 \ m/day$ <u />

<u /> $\displaystyle w = 23 \ meters$ <u />

<u /> $\displaystyle \frac{dw}{dt} = 1 \ m/day$ <u />

<u />

<u>Step 2: Differentiate</u>

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

<u>Step 3: Solve</u>

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago