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3 years ago

Describe how to find the selling price of an item that has been marked up 110%

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

I'm pretty sure you would multiply the cost amount to the percentage

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Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

Please look at the image

Alina [70]

Answer:

F=2E

ANGLE F+ANGLE E=120

2E. + E. =120

3E=120

E=40

4 0

2 years ago

Geometry, any idea?

Pepsi [2]

Answer:

Step-by-step explanation:

15x-31+9×+11+×=180

25×-20=180

25×=200

×=8

15(8)-31=89

9(8)+11=83

5 0

3 years ago

an artist is using tiles and boards for a project. A tile has length 2/3 ft and width 2/3 ft. A board has length 1/2 yd and widt

Margaret [11]

Answer:

4 : 9

Step-by-step explanation:

The requested ratio is ...

tile length : board length = (2/3 ft) : (1/2 yd) = (8 in) : (18 in)

= 8 : 18 = 4 : 9

_____

To make a unitless ratio, both parts must have the same units. Here, we chose to express the lengths in inches. We could have used feet or yards as well. (2/3 ft)×(1 yard)/(3 ft) = 2/9 yd or (1/2 yd)(3 ft/yd) = 3/2 ft. You get the same ratio with any of these:

(2/9 yd) : (1/2 yd) = (4 yd) : (9 yd) = 4 : 9 . . . . . multiply by 18

(2/3 ft) : (3/2 ft) = (4 ft) : (9 ft) = 4 : 9 . . . . . multiply by 6

5 0

3 years ago

You want to give your friend a soccer ball for a gift. The soccer ball has a

Ede4ka [16]

Answer:

volume of cube share box = 67.92 inch²

Step-by-step explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume = $\frac{4}{3}\times \pi \times r^3$ .................1

85.3π = $\frac{4}{3}\times \pi \times r^3$

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²

6 0

3 years ago