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2 years ago

Solve the formula for the specified variable. D=1/2fk for f f=

1 answer:

4 0

We are asked to solve the formula $D=\frac{1}{2}fk$ for $f$ . Starting off, we can divide both sides by $k$ , so we are left with only the variable $f$ on the right-hand side. Next, we need to multiply the reciprocoal of $\frac{1}{2}$ , which is $2$ to both sides. This gives us $2*\frac{D}{k}=f$ , which, when simplified, gives us $\boxed{f=\frac{2D}{k}}$ . Hope this helped and have a phenomenal day!

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A group of vendors in a city determines that the equation yˆ=11.984x+15.341 models the total number of shorts they will sell eac

Virty [35]

Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.

The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.

The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.

Thus, given the equation: y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.

The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.

Therefore, the slope of the equation represents in context of the situation that 'The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)

3 0

2 years ago

Read 2 more answers

Tom sells baseball cards at 10 for 35 cents. Is that better deal than 12 for 40 cents? Prove your thinking

Aleks [24]

Answer:

12 for 40 cents is a better deal.

Step-by-step explanation: 35divided by 10 is 3.5 and 12 divided by 40 is 3.333... therefore for just one card it is cheaper but you are getting more cards anyways.

7 0

1 year ago

Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he

FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = $\frac{35}{100}$ = 0.35)

70 = 0.35 * x

x = $\frac{70}{0.35}$

x= 200, Expense = $200

Given : Profit percentage is 15%= $\frac{15}{100}$ = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30

5 0

2 years ago

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Determine the total value of the merchandise using net realizable value. item quantity selling price commission doll 10 $7 $2 ho

NemiM [27]

Quantity of dolls and horses are 10 and 5 respectively .

Selling prices of dolls and horses are $7 and $ 9 respectively .

And the commission on them are $2 and $ 3 respectively .

So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80

So the total value of the merchandise using net realizable value is $ 80. Therefore out of the given options, correct option is the last option .

5 0

2 years ago

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Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

tiny-mole [99]

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

Step-by-step explanation:

$(7x+4)(7x+4)=(7x+4)^2$ ( using $(a+b)(a+b)=(a+b)^2$ )

$=(7x)^2+2(7x)(4)+4^2$ ( using $(a+b)^2=a^2+2ab+b^2$ )

$=7^2x^2+56x+16$

$=49x^2+56x+14$

Therefore $(7x+4)(7x+4)=49x^2+56x+14$

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

6 0

2 years ago

Read 2 more answers