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1 year ago

22/11,594 I need a step by step answer

Mathematics

1 answer:

Yuliya22 [10]1 year ago

6 0

Answer:

1.89753

Step-by-step explanation:

22/11,594

Multiply the numerator and denominator by 1000 to remove decimal

$\frac{22}{11.594} * 1000 = \frac{22000}{11594}$

Using long division

Learn more about Long Division here: brainly.com/question/12085148

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3 years ago

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Aunt Kendra is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cu

Andreas93 [3]

Answer:

$70

Step-by-step explanation:

Middletown Equation:

1c +50 = T

Sweet Shoppe Equation:

2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

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Now insert into either equation ( or both to check)

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HOPE THIS HELPS!!!

4 0

2 years ago

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

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2 years ago

Write a + - x or ÷ sign in each box to make the equation true <br><br> 7 18 45 3 2 = 139

irina [24]

I mean, I don't know how to explain a generic way to solve this. Ask me about the specific train of thought if you are interested:

7 * 18 + 45 / 3 - 2 = 139

4 0

3 years ago