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3 years ago

Michael owns dogs, hamsters and fish in the ratio 2:3:6. If he has 6 hamsters, how many pets does he have?

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

Answer:

33 pets

Step-by-step explanation:

6/3 = 3

2 + 3 + 6 = 11

11 * 3 = 33

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

Fudgin [204]

Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

(II) a + 13d = 6

-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

a -5 = 14

a = 14 + 5

$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

= 19 - 19

$\sf \boxed{\bf t_{20} = 0}$

8 0

2 years ago

Read 2 more answers

a random sample of high school seniors were asked whether they were applying for college. the resulting confidence interval for

Artist 52 [7]

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

To learn more about margin of error link is here

brainly.com/question/10501147

#SPJ4

3 0

1 year ago

Janae has 280 dimes in her piggy bank she has 10 times as many pennies how many pennies does Janae have

Natalija [7]

Answer:

She has 28 pennies

Step-by-step explanation:

Janae has 280 dimes in her piggy bank she has 10 times as many pennies .

If she has 280 dimes in piggy bank

And has 10 times as many pennies

Let dimes= x

Let pennies= y

X= 10y

But x= 280

280= 10y

280/10 = y

28 = y

She has 28 pennies

8 0

3 years ago

Darina [25.2K]

The graph of the equations was plotted using geogebra graphing and attached.

Let x represent the hours weightlifting and y represent the hours doing cardio exercises.

Since he spend a maximum of 20 hours, hence:

x + y ≤ 20 (1)

Also, he spends at least 8 of those hours weightlifting, hence:

x ≥ 8 (2)

He wants to spend no more than 15 hours doing cardio exercises, this is:

y ≤ 15 (3)

The graph of the equations was plotted using geogebra graphing and attached.

Find out more at: brainly.com/question/17178834

3 0

3 years ago

Fill in the table for the exponential function given f(x)=3(2)^n

mina [271]

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

So we have 2^-1. This is the same as $3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2}$ = a

Now do $3(2^0) = 3$ = b

Then do $3(2^1) = 6$ = c

Finally do $3(2^2) = 12$ = d

6 0

3 years ago