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3 years ago

Find the cost of 12 items if the cost function is C(x) = 2x +12

Mathematics

1 answer:

pantera1 [17]3 years ago

7 0

Answer:

$36

Step-by-step explanation:

we need to find the cost of 12 items, and the function of determining the cost is C(x)=2x+12, where x is the number of items (the input value of the function)

we know that there are 12 items, so in this function, x=12

substitute x as 12 in the function; the x in C(x) also gets substituted as 12, as 12 is the input value and the value of C(x) is the output

C(12)=2(12)+12

multiply

C(12)=24+12

add

C(12)=36

that means, for 12 items, the cost will be $36

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If 3t - 7 = 5t, then 6t = A. 21 B. -7 C. -21 D. -42

podryga [215]

Answer:

C. -21 is your answer

Step-by-step explanation:

Solve for t. Isolate the variable t in the first equation, then use the number gotten to solve the second equation.

3t - 7 = 5t

First, subtract 3t from both sides

3t (-3t) - 7 = 5t (-3t)

-7 = 5t - 3t

-7 = 2t

Isolate the variable (t). Divide 2 from both sides

(-7)/2 = (2t)/2

t = -7/2

t = -3.5

Plug in -3.5 for t in the second equation

6(t) =

6(-3.5) =

6(-3.5) = -21

C. -21 is your answer

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2 years ago

An ice cream shop uses the following ingredients to make 1 sundae.

Sedbober [7]

Answer:

8 sundaes

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2 years ago

Read 2 more answers

Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).

Katen [24]

Answer:

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - $\frac{\sqrt{3} }{2}$

sin150° = sin30° = $\frac{1}{2}$

Given

z = 4(cos150° + isin150° ) , substitute values

= 4(- $\frac{\sqrt{3} }{2}$ + $\frac{1}{2}$ i )

= - 2 $\sqrt{3}$ + 2i , that is

(- 2 $\sqrt{3}$ , 2 ) → B

7 0

3 years ago

What is the simplified term (6^2)(-3^5)

AVprozaik [17]

Answer:

-8748

Step-by-step explanation:

(6^2)(-3^5)

(6 x 6)(-3 x-3 x-3 x -3 x -3)

(36)(-243)

36 x -243

-8748

5 0

3 years ago

The circle graph shows the results of a survey by a bakery on which of their new products 105 customerspreferred most. How many

Katen [24]

If 105 customers were the total, and 35% prefers cake, we must calculate 35% of 105, then we must do 105 multiplied by 35%, we can doit transforming the 35% in the fraction notation:

$35\%=\frac{35}{100}$

And the multiplication

$105\cdot\frac{35}{100}=36.75$

Therefore, if we round it to the nearest whole number, the number of customers that prefer cake is 37.

37 customers prefer cake.

4 0

1 year ago