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3 years ago

Which expression is equivalent to 8a + 14? 2(2a + 12) 4(4a + 10) 4(2a+8) 2(4a +7)

Mathematics

1 answer:

inessss [21]3 years ago

7 0

Answer is D, 2(4a + 7.)

A is equivalent to 4a + 24.

B is equivalent to 16a + 40.

C is equivalent to 8a + 32.

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On a map two cities are 6 3/4 inches apart. The scale of the map is 1/4 inch= 10 miles. What is the actual distance between the

Murljashka [212]

27 times 10 = 270 miles apart.

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4 years ago

Ratios equivalent to 2:6.

Alexandra [31]

8:24
4:12
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3 years ago

Evaluate: 20 Σ 4(8/9)^n-1 = [?] 1 Round to the nearest hundredth.

lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: $a_n=ar^{n-1}$

(where a is the first term and r is the common ratio)

Given:

$\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}$

Therefore:

a = 4
r = 8/9

Sum of the first n terms of a geometric series:

$S_n=\dfrac{a(1-r^n)}{1-r}$

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

$\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}$

$\implies S_{20}=32.58609013...$

$\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)$

7 0

2 years ago

Read 2 more answers

How would you graph an inequality ?

masya89 [10]

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

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3 years ago

Find the fourth term in the expanded form of (5x + 1)4.

Orlov [11]

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2 years ago