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2 years ago

Sally starts a lemonade stand. She has a startup cost of $20 dollars and

Mathematics

1 answer:

vodka [1.7K]2 years ago

5 0

Answer:

Sally will need to sell 8 glasses of lemonade

Step-by-step explanation:

Very Simple, you just need to do 20 divided by 2.50 and there is your answer

Hope this helps :)

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Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...

Strike441 [17]

Answer:

The 13th term is 81x + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

$\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots$

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:

$\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}$

Find the common difference by subtracting the first term from the second:

$d = (4x+4) - (-3x - 1)$

Distribute:

$d = (4x + 4) + (3x + 1)$

Combine like terms. Hence:

$d = 7x + 5$

The common difference is (7x + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

$\displaystyle x_n = a + d(n-1)$

Where a is the initial term and d is the common difference.

The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:

$\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)$

To find the 13th term, let n = 13. Hence:

$\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)$

Simplify:

$\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}$

The 13th term is 81x + 59.

3 0

3 years ago

What is 79/100 as a decimal

dolphi86 [110]

Hey!

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Solution:

Divide to get the decimal.

79 / 100 = 0.79

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Answer:

0.79

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Hope This Helped! Good Luck!

3 0

3 years ago

Read 2 more answers

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet,

Ivan

Answer:

15 feet

Step-by-step explanation:

Quadrilateral ABCD has a scale facter of 2.5 over the quadrilateral EFGH. The order of ABCD is 60, 40, 30, and x, EFGH has y, z, 12, and 6.

6 times the scale factor of 2.5 is 15, the answer.

7 0

3 years ago

Someone please help me!!! I’m stuck and need help!

denpristay [2]

Answer:

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

$\frac{6}{8}$

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

$\frac{3}{4} x + x = 21$

$1.75x = 21$

x=12.

Side ST is 12

6 0

3 years ago

The equation of a straight line is 2y+6x=-8.find the gradient of the line

Illusion [34]

Step-by-step explanation:

Y= mx + c

2y = 3x - 8

2y = -3× - 8 ( divide all yerms by two )

y = -3 × 4

y = -3

7 0

2 years ago