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2 years ago

15

Problem #3 Carey and Larry both earned the same amount of money mowing lawns. Larry spent $9.75 on a game app. Now they have $21

25 altogether. How much did each person earn mowing lawns? IptX

1 answer:

Alborosie2 years ago

4 0

Answer:$15.50

Step-by-step explanation:

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

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

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

Find the slope of the line graphed below

igomit [66]

We are given two points: (-1, -1) and (1, -4). Slope is calculated as the change in y over the change in x, or rise over run.

The change in y is the difference of the two y coordinates (it doesn't matter the order): -1 - (-4) = 3

The change in x is the difference of the two x coordinates (this order depends on the order that you subtracted the y coordinates; they must be the same order): -1 - 1 = -2.

So, the slope is 3/-2

4 0

3 years ago

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3 and 5 form what type of angle pair? A. corresponding angles B. alternate interior angles C. consecutive interior angles D. alt

Andre45 [30]

Answer:

C. consecutive interior angles

Step-by-step explanation:

The subject angles are between lines <em>a</em> and <em>b</em>, so are interior (not exterior). They are on different corners of the intersection, so are not corresponding. They are on the same side of line <em>c</em>, so are not alternate. The share a side, but not a vertex, so they are consecutive. The appropriate choice is ...

... C. consecutive interior angles

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3 years ago

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Which phrase describes the pattern? 1, 3, 11, 123,...

Monica [59]

D) square the number and add 2

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3 years ago

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Use the following regression results to answer the remaining questions. Y measures average hourly earnings AHE in U.S. dollars f

Ulleksa [173]

Answer:

Check the explanation

Step-by-step explanation:

Y = 11.5 + 4.5*X1 -2.5*X2 +0.7*X3+1.6*X4 -2.4*X5 -2.8*X6

FOR JANE

X1 =1 , X2 =1 , X3 =5 , X4 =0 ,X5=0, X6=1

SO,

Y =11.5+(4.5*1)-(2.5*1)+(0.7*5)+0+0-(2.8*1)

= 14.2

..........................

FOR Sophie

X1 =1 , X2 =1 , X3 =10 , X4 =1 ,X5=0, X6=0

so,

Y =11.5+(4.5*1)-(2.5*1)+(0.7*10)+ (1.6*1)+0+0

= 22.1

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3 years ago