6/10 of the class has a pet dog. 27/100 of the class has a pet cat. The rest of the class has a pet fish. What fraction of the class has a pet fish?

Answer:

66

Step-by-step explanation:

i just did this assignment and it said this was the right answer

The area of the first, second, and third is a triangle30square in,18 square cm,130 Square yards the surface area of the triangular top of the end table is  640 square centimetres the length of the third side of the triangle is 17 yards the length of the missing side of the right triangle is 6√2 feet.

According to the given information:

a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore, for the first triangle:

A = (1/2)(10 in)(6 in) = 30 square inches

b. For the second triangle:

A = (1/2)(4 cm)(9 cm) = 18 square centimeters

c. For the third triangle:

A = (1/2)(20 yd)(13 yd) = 130 square yards

d. The surface area of the triangular top of the end table is also given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore:

A = (1/2)(40 cm)(32 cm) = 640 square centimeters

e. Using the Pythagorean theorem, we can find the length of the third side of the right triangle:

c² = a² + b²

c² = 8² + 15²

c² = 289

c = √289

c = 17 yards

Therefore, the length of the third side of the triangle is 17 yards.

f. Using the Pythagorean theorem, we can find the length of the missing side of the right triangle:

c² = a² + b²

c² = 6² + 6²

c² = 72

c = √72

c = 6√2 feet

Therefore, the length of the missing side of the right triangle is 6√2 feet.

g. The length of the missing hypotenuse can be found using the Pythagorean theorem:

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = √25

c = 5

Therefore, the length of the missing hypotenuse is 5.

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Answer:

a. a2 + b2 = c2

a2 + (12 in.)2 = (20 in.)2

a2 + 144 sq. in. = 400 sq. in.

a2 = 144 sq. in. – 144 sq. in. = 400 sq. in. – 144 sq. in.

a2 = 256 sq. in.

√a2 = 256 sq. in.

a = 16 in.

Answer: The length of the missing side is 16 inches.

b. a2 + b2 = c2

(7 cm)2 + b2 = (25 cm)2

49 cm2 +  b2 = 625 cm2

49 cm2 – 49 cm2 + b2 = 625 cm2 – 49 cm2

b2 = 576 cm2

√b2 = √576 cm2

b = 24 cm

Answer: The length of the missing side is 24 centimeters.

c. a2 + b2 = c2

(8 yd.)2 + (15 yd.)2 = c2

64 sq. yd. + 225 sq. yd = c2

289 sq. yd. = c2

√289 sq. yd. = √c2

17 yd. = c

Answer: The third side of the fence will be 17 yards long.

Step-by-step explanation:

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

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Point C is located at -1 3/8

Hope that helps!

Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15

The value of the car is solved by using the formula for depreciation which is  y = A(1 – r)t

definition of variables

where

y = current value, = ?

A = original cost, = $24,000

r = rate of depreciation, = 15% and

t = time, in years. = 4 years

substituting the variables

current value, y = A(1 – r)t

current value, y = 24000 * (1 - 0.15)⁴

current value, y = 12528.15

the depreciation is $12528.15

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9514 1404 393

Answer:

  y = 0.4^(x+3) -2

Step-by-step explanation:

I have chosen the decay function y=0.4^x as the parent function.

Shifting any function f(x) left 3 and down 2 will transform it to ...

  y = f(x+3) -2

So, the shifted parent function is ...

  y = 0.4^(x+3) -2

Answer:

3 hours

Step-by-step explanation:

Answer:

1: the balance after 8 years is approximately $151.78.

2:  is approximately 7%.

Step-by-step explanation:

1: The balance after t years with continuous compounding can be calculated using the formula:

B = Pe^(rt)

Where:

P = 120 dollars (initial deposit)

r = 2.5% = 0.025 (interest rate in decimal form)

t = 8 years

Substituting these values into the formula, we get:

B = 120e^(0.025*8) ≈ 151.78

Therefore, the balance after 8 years is approximately $151.78.

2: The interest rate can be found using the formula:

A = Pe^(rt)

Taking the natural logarithm of both sides and solving for r, we get:

r = ln(A/P) / t

Where:

A = 4055 dollars (final amount)

P = 1000 dollars (initial investment)

t = 20 years

Substituting these values into the formula, we get:

r = ln(4055/1000) / 20 ≈ 0.0774

Converting to a percentage and rounding to the nearest whole number, we get:

r ≈ 7%

Therefore, the interest rate, if compounded continuously, is approximately 7%.

Answer:

1. $146.57

2. 7%.

Step-by-step explanation:

1.

The formula for continuous compounding is:

A = Pe^(rt)

Where:

A = the balance after t years

P = the principal amount

r = the annual interest rate (expressed as a decimal)

t = the time in years

To use this formula, we first need to convert the annual interest rate to a decimal:

r = 2 1/2 = 2.5%

r = 2.5/100 = 0.025

Now we can plug in the values:

A = 120e^(0.025*8)

A ≈ $146.57

Therefore, the balance after 8 years is approximately $146.57

2.

The formula for continuous compounding is: A = Pe^(rt)

Where:

A = the balance after t years

P = the principal amount

r = the annual interest rate (expressed as a decimal)

t = the time in years

We can rearrange this formula to solve for the interest rate:

r = ln(A/P)/t

Where ln represents the natural logarithm.

Now we can plug in the given values:

r = ln(4055/1000)/20

r ≈ 0.069or 7.1%

Therefore, the interest rate, rounded to the nearest whole number, is 7%.

Answer:

-10

Step-by-step explanation:

Let the number be x

x - 40 = 5x

⇒ -40 = 5x - x

⇒ 4x = -40

⇒ x = -40/4

⇒ x = -10

Answer:

-10

Step-by-step explanation:

Let the number be x

x - 40 = 5x

4x = -40

x = -10

The surface area of the triangular prism is: C.256 ft²

The formula to find the surface area of a triangular prism is: A = bh +(b1 + b2 + b3)l, where:

Given the following:

b = 12 ft

h = 8 ft

b1 + b2 + b3 = 10 + 10 + 12 = 32 ft

l = 5 ft

Plug in the values:

Surface area = A = 12 * 8 +(32)*5

= 256 ft²

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Answer:

45 degrees

Step-by-step explanation:

All 3 angles have to add up to 180, so you have:

\(x + 32 + 103 =180\)

\(x + 135 = 180\)

subtract 135 from both sides

\(x = 45\)

Answer:

Step-by-step explanation:

I'm not sure about 8th

Answer:

yes

Step-by-step explanation:

Answer:

The formation of ∆ is possible .

Step-by-step explanation:

Three sides of triangle are given which are 10 , 7 & 15. And we need to determine whetherwecanmake a triangle with these three sides or not . So we know that ,

" Sum of any two sides of a triangle is Greater

than the third side "

Let ,

Here we will see by three cases. And the formation of triangle will be possible if and only of all the three cases are possible.

So , let's check ,

Case 1:-

→ a + b > c

→ 10 + 7 > 15

→ 17 > 15

Case 2:-

→ b + c > a

→ 7 + 15 > 10

→ 22 > 10

Case 3 :-

→ a + c > b

→ 10 + 15 > 7

→ 25 > 7

Since all the three cases are true Hence formation of ∆ is possible.

Answer:

4

Step-by-step explanation:

Answer:

x=10 degrees

Step-by-step explanation:

8x-12=6x+8

2x=20

x=10

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer: 26% of 84 is 21.84

Step-by-step explanation:

0.26 * 84 = 21.84

Answer:

26%

of

84

=

21

Step-by-step explanation:

nwhsk sgswke dydownegsownsgsos isbstwkw

The expected rate of inflation is 0.068627 or 6.86%.

Real Rate of return:

The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.

The general formula of the inflation rate is:

\(IR=\frac{1+R_1}{1+R_2} -1\)

Given information is that

Nominal rate of return(R1)=9%

Real rate of return(R2)=2%

Now substitute these values in the above formula:

\(IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1\)

IR=1.068627-1

IR=0.068627 or 6.86%

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Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

Answer:

168 = 18 * x + 12 * 2x

Step-by-step explanation:

It's the only one that makes sense. You can mark out the 2nd and last one. We don't add 2x + x; for the 3rd, they need to subtract 18 - 2x, so that's not right either.

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

use ASA

Step-by-step explanation:

since D=B, AB║CD

angle DEC=AEB (vertical angles)

AE=EC (given)

The inequality comparison is 2/3 > 9/30

To compare the amounts of water poured into the cup and the jar, we can convert both fractions to a common denominator.

The least common multiple of 3 and 10 is 30, so we can rewrite the amounts of water poured as:

Now we can compare these fractions using inequality symbols:

20/30 is greater than 9/30

20/30 > 9/30 : This is true because 20/30 (or 2/3) is greater than 9/30 (or 3/10).

This means that

2/3 > 9/30

Hence, the true inequality comparisons is 2/3 > 9/30

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The solution of the expression, \((\frac{2}{3} )^{-4}\) is 81 / 16.

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as multiplication, subtraction, addition etc.

Therefore, lets solve the expression as follows:

\((\frac{2}{3} )^{-4}\)

Using exponential laws,

b⁻¹ = 1 / b

Let's apply the law to the expression as follows:

\((\frac{2}{3} )^{-4} = \frac{1}{(\frac{2}{3})^{4} }\)

Therefore,

1 ÷ (2  / 3)⁴ = 1 × (3 / 2)⁴ = 3⁴ / 2⁴

Finally,

3⁴ / 2⁴ = 81 / 16

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Answer:

y=(3/2)x+5

Explanation:

Given a line with a slope of 3/2 that passes through the point (-8, -7).

To determine the equation of the line, we first use the point-slope form below.

Substituting, we have:

Next, we express the line in the slope-intercept form (y=mx+b).

The equation of the line in slope-intercept form is: