The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of a n. A women's size 7 fits a foot 9 1/3 inches long, ands women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. an=-17.91 +2.99(n-1), an=-5+2.99(n-1), an=7+0.33(n-1) , an=7.35+ 0.33(n-1)

Answers

Answer 1

Answer:

Answer:

an=7.35+ 0.33(n-1)

Step-by-step explanation:

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n.

We are given values for n=7 and n=12 as a7=9.33 and a12=11

So, we proceed from the options and check which an satisfies these values:

an = 7.35 + 0.33(n-1)

when n = 7:

an = 7.35 + 0.33 (7-1)

an = 9.33

when n = 12:

an = 7.35 + 0.33 (12-1)

an = 10.98≈11

Hence, correct option is:

an=7.35+ 0.33(n-1)

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Which comparison is true?6 stars and 7 hearts.
There are 6 stars for every 7 hearts.
There are 7 stars for every 6 hearts.
For every 7 stars there are 13 hearts.
For every 6 stars there are 13 hearts.

Answers

Answer:

Yup it’s A. There are 6 stars for every 7 hearts.

Step-by-step explanation:

Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each. Which equation can be used to find the number of pies she needs to sell to break even?

Answers

We can represent the number of pies she makes to be x. We also need to add $30 to the equation to take the baking supply cost into consideration. The Cost can be represented by C. C = 5x + 30 is the equation to use to determine the Cost! 5 times the number of pies she makes plus the $30 for baking supplies! If we look at just the cost when she doesn't sell any pies, we can say x = 0 That means C = 5(0) + 30 or C = 30, it means that she has to pay $30 or the Cost is $30 when she sells no pies. This makes sense since the baking supplies were $30. Are you with me so far?

Pleaseeeeeee someone help me

Answers

Answer: D

Step-by-step explanation:

The orange color is represented by the bottom line, which is y > x - 2

The purple color is represented by the top line, which is y < x + 1

How do we know the equations of those lines?

The equations can be written in the form y = mx + b where;
m = slope
b = y-intercept

The orange line:

crosses the y-axis at -2 --> b = -2
has a rise over run of 1 -> m = 1
--> y = x - 2
the line is dashed and is shaded above so y > x - 2

The purple line:

crosses the y-axis at +1 --> b = 1
has a rise over run of 1 -> m = 1
--> y = x + 1
the line is dashed and is shaded below so y < x + 1

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

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What ratios are equivalent to 2 : 7?

Answers

Answer:

4:14, 6:21, 8:28

Step-by-step explanation:

Answer:

4:14, 6:21, 8:28, 10:35, 12:42, 14:49, 16:56, 18:63, 20:70, etc

Step-by-step explanation:

How do you create a system of inequalities with given restraints?The assignment says:
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Answers

Given:
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