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3 years ago

Find z for the following proportion: z/9= 2/3

1 answer:

4 0

Cross multiplication will help find the value of x
$\frac{z}{9} = \frac{2}{3} 


$
9*2=18
3*z=3z

Now we have :
3z=18
Divide both sides by 3 to isolate z

Final answer: z=6

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Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

2 years ago

OFFERING 50+ POINTS

nadezda [96]

Answer:

Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Does the following represent the Transitive Property?

Sauron [17]

No it does not. If q=b and b=t then q=t is the correct answer.

7 0

3 years ago

Write two monomials whose greatest common factor is 4m

Sauron [17]

==> 4 m

==> 4,096 m¹³

3 0

3 years ago

The point Al-2, 3) is translated using T: (x,y) → (x+4, y+2).

almond37 [142]

Answer:

The distance between A and A' is:

$distance=\sqrt{20}$

Step-by-step explanation:

Notice that point A' after the given translation becomes: (-2+4, 3+2) = (2, 5),

So one can calculate the distance between A (-2, 3) and A' (2, 5) using the distance formula:

$distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\distance=\sqrt{(2-(-2))^2+(5-3)^2} \\distance=\sqrt{(4))^2+(2)^2} \\distance=\sqrt{(16+4} \\distance=\sqrt{20}$

4 0

3 years ago