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3 years ago

7

Carl is using a pine board to make a frame for a picture. He wants the dimensions of the frame to be 2 feet by 18 inches. How lo

ng of a pine board will Carl need for his frame?

1 answer:

jeka57 [31]3 years ago

7 0

The answer is 36....hope this helped

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Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the

timama [110]

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y ..........(1)

36 = 10x + y ..........(2)

51 = 15x + y ..........(3)

66 = 20x + y ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = $\frac{15}{5}$ = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

= 21 - 15

= 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y ..........(1)

21 = 5(3) + 6

= 15 + 6

= 21

⇒21 = 21

Verified

36 = 10x + y ..........(2)

36 = 10(3) + 6

= 30 + 6

= 36

⇒36 = 36

Verified

51 = 15x + y ..........(3)

51 = 15(3) + 6

= 45 + 6

= 51

⇒51 = 51

Verified

66 = 20x + y ..........(4)

66 = 20(3) + 6

= 60 + 6

= 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

7 0

3 years ago

Write an equation for each translation of y=|x| .

bija089 [108]

Answer:

y = |x| -13

Step-by-step explanation:

recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).

If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)

In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)

hence we add a= -13 to the original function.

y = f(x) + (-13)

y = |x| + (-13)

y = |x| -13

7 0

3 years ago

20% taken out of $48,315

Marianna [84]

Answer:

20% = 9,663

48,315 - 9,663 = 38,652

Step-by-step explanation:

In a calculator do 48,315 x .20

the take 48,315 and subtract 9,663

8 0

3 years ago

Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Licemer1 [7]

Remember that for a quadratic function of the form $a x^{2} +bx+c$ we can find its vertex with formula: $h= \frac{-b}{2a}$ where $h$ is the x-coordinate of the vertex; then we will find the y-coordinate by replacing $h$ in our original function.

From the question know that $a=1$ and $b=-12$ , so lets replace those values in our vertex formula to find the x-coordinate of our vertex:
$h= \frac{-(-12)}{2(1)}$
$h= \frac{12}{2}$
$h=6$
Now lets replace that value into our original function to find the y-coordinate of our vertex:
$f(6)=6^{2} -12(6)+27$
$f(6)=36-72+27$
$f(6)=-9$
Finally, we have our vertex (6,-9)

Now to graph our function we are going to take advantage of its line of symmetry; if the vertex is (6,-9) the line of symmetry of the parabola is x=6, so if we chose the point (6,0), our second point will have coordinates (3,0) as you can see in the picture.

8 0

3 years ago

What ordered pair corresponds to point D?

olganol [36]

Answer:

(2,0)

Step-by-step explanation:

point D is on point (2,0)

that is what it means

4 0

3 years ago