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andrey2020 [161]
3 years ago
15

Peter and John went shopping and spent ratio 2:3 If Peter spent $500 how much did John spend?

Mathematics
1 answer:
sveta [45]3 years ago
8 0
John spent a total of $750
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Find the area of the figure
MakcuM [25]

9514 1404 393

Answer:

  24.885 in²

Step-by-step explanation:

Use the formula for the area of a triangle.

  A = 1/2bh . . . . . . . where b is the base length and h is the height perpendicular to the base

  A = 1/2(7.9 in)(6.3 in) = 24.885 in²

_____

<em>Additional comment</em>

The given side lengths cannot form a triangle, as the side shown as 14.7 is too long for the ends of the other segments to connect to. The attachment shows that side should be 11.97 in.

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What value of x will make this proportion true?
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3 years ago
SOLVE FOR BRAINLIEST!
marissa [1.9K]
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2 years ago
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bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
3 years ago
How can you tell when a pattern shows counting on by tens?
s2008m [1.1K]
Counting by Tens with numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 Counting by Tens with words ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred Number Patterns when counting by Tens When you count by tens the numbers create a pattern. All the numbers end with a zero. The first digits are just like the numbers when you count (1, 2, 3, 4, 5, etc.). This pattern gives the numbers 10, 20, 30, 40, 50, etc. found from: http://www.aaamath.com/k4c_cox1.htm
8 0
3 years ago
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