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2 years ago

Solve the equation below. 3(17x – 6.5) = 108

Mathematics

1 answer:

olga_2 [115]2 years ago

3 0

Answer:

x=2.5

Step-by-step explanation:

3(17x – 6.5) = 108

Divide each side by 3

3/3(17x – 6.5) = 108/3

17x - 6.5 =36

Add 6.5 to each side

17x -6.5+6.5=36+6.5

17x = 42.5

Divide each side by 17

17x/17 = 42.5/17

x = 2.5

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For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.

Tresset [83]

Answer:

Option A - $a_0= 2,a_1= 3,a_2= 5,a_3= 9$

Step-by-step explanation:

Given : For the sequence $a_n= 2^n + 1$

To find : Identify the values of following?

Solution :

The nth term of the sequence is $a_n= 2^n + 1$

Substitute n=0,1,2 and 3

When n=0,

$a_0= 2^0+ 1$

$a_0= 1+1$

$a_0=2$

When n=1,

$a_1= 2^1+ 1$

$a_1= 2+1$

$a_1=3$

When n=2,

$a_2= 2^2+ 1$

$a_2=4+1$

$a_2=5$

When n=3,

$a_3= 2^3+ 1$

$a_3= 8+ 1$

$a_3= 9$

Therefore, The value is $a_0= 2,a_1= 3,a_2= 5,a_3= 9$

So, Option A is correct.

4 0

2 years ago

Find the length of the third side of the right triangle.

lara31 [8.8K]

Answer: you can use Pythagorean theorem , which formula is $a^{2} + b^{2} =c^{2}$ , "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)

<em>Example:</em>

If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:

1) plug the numbers to the formula

$4^2 + 6^2 = c^{2}$

2) solve the exponents of the numbers given (not the letter, in this case "c")

16 + 36 = $c^2$

3) combine like terms (in this case 16 +36)

52 = $c^2$

4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)

$\sqrt{52} = \sqrt{c}$

(square root of 52 rounded to the nearest hundred is 7.21)

7.21 = c

<h3><u><em>So 7.21 is your missing side in this example</em></u></h3><h3>look up Pythagorean theorem Khan Academy</h3>

8 0

2 years ago

Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo

GrogVix [38]

$250 c+ $ 180 g > $ 950

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

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0

2 years ago

Seven friends want to buy a video game together to share. the cost will be evenly split among them. what is the expression that

Burka [1]

Answer:

the correct answer is D

Step-by-step explanation:

if the 7 friends are splitting the cost they are dividing it among themselves.

4 0

1 year ago

Read 2 more answers

This star is made up of 4 equilateral triangles of equal area and a square.

pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = $9\,\, cm^2$

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = $9\,\, cm^2$

Area of square = $(side)^2$

$(side)^2=9\\side=3\,\,cm$

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

4 0

2 years ago