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3 years ago

10

Jason worked 3 hours more than Keith. Jason worked 12 hours. Which equation represents this situation, if k is the numbers of ho

urs Keith worked?

1 answer:

ycow [4]3 years ago

8 0

Answer:

j=k+3 (j=jason k+kieth)

Step-by-step explanation:

he did thrhee more so it will be adding 3 to k

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Algebra I<br> Please help, I understand a decent amount of info for this but need help solving!

Alla [95]

H = V/bl. You just cross multiply

8 0

4 years ago

In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294

slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

$a_4=54$ and $a_7=1458$

To find $a_{12}:$

The given sequence is a geometric sequence.

The general term of the geometric sequence is $a_n=a_1\ r^{n-1}$ .

If we have 2 terms of a geometric sequence $a_n$ and $a_k$ (n > K),

then we can write the general term as $a_n=a_k\ r^{n-k}$ .

Here we have $a_4=54$ and $a_7=1458$ .

So, n = 7 and k = 4 ( 7 > 4)

$a_7=a_4\ .\ r^{7-4}$

$1458=54\ . \ r^3$

This can be written as

$$r^3=\frac{1458}{54}$

$$r^3=27$

$$r^3=3^3$

Taking cube root on both sides of the equation, we get

r = 3

$a_{12}=a_7\ .\ r^{12-7}$

$=1458\ .\ r^5$

$=1458\ .\ 3^5$

$a_{12}=354294$

Hence the 12th term of the geometric sequence is 354294.

7 0

3 years ago

Reflect the x axis A B C D

Ronch [10]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 17 ) → A' (- 1, 17 )

B (0, - 12 ) → B' (0, 12 )

C (- 5, - 11 ) → C' (- 5, 11 )

D (- 6, - 16 ) → D' (- 6, 16 )

3 0

3 years ago

You are creating a set of three numbers that have a GCF of 9. You have 27 and 54 for two of the numbers. A. What is the GCF of 2

melamori03 [73]

Answer:

A. GCF of both is 27

B. By adding 9 and 18 to the set, the GCF of the four numbers become 9

Step-by-step explanation:

A. The GCF of 27 and 54 is 27

GCF represents greatest common factor. It means the highest number which is both a factor of 27 and also a factor of 54. The highest number in this case is 27.

The factors of 27 are ;

1, 3 , 9 , 27

for 54

1,2,3,6,9,18,27 and 54

So we can clearly see that the highest factor in both case is 27

B. Now , we want to add two numbers that will make the GCF to be 9

What about adding 9 and 18?

Let’s have a look;

using the multiples of each;

9 - 1, 3 and 9

18 - 1, 2, 3 , 6 , 9 and 18

27- 1, 3 , 9 and 27

54- 1, 2, 3 , 6, 9, 18, 27 and 54

We can clearly see here that the highest factor that takes all four numbers into consideration is the number 9

3 0

4 years ago

In a Harris Interactive survey of 2276 adults in the United States, it was found that 33% of those surveyed never travel using c

S_A_V [24]

Answer:

Population: Adults in the United States

Sample: 2276 adults in the United States

33% is a statistic.

Step-by-step explanation:

The population consists of adults in the United States because that is the wider range, and the sample is 2276 of those adults.

The value 33% is an statistic due to the definitions of both words. A statistic is defined as a fact or piece of data obtained from a study of a large quantity of numerical data. While a parameter is a numerical or other measurable factor forming one of a set that defines a system or sets the conditions of its operation.

5 0

3 years ago