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Ray Of Light [21]
3 years ago
12

Darias bought 5 school binders that cost $8.00 per

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

$25.44

Step-by-step explanation:

First, find the original cost of the binders:

5(8)

= $40

Find the cost with the 40% discount:

40(0.6)

= $24

Find the cost with the 6% sales tax:

24(1.06)

= $25.44

So, the total cost of the binders was $25.44

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Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Kay [80]

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{BO}{OA}

OA=BO(\sqrt{3})

By applying tangent rule in the given right triangle BOC,

tan(60°) = \frac{OC}{BO}

OC = BO(√3)

OA + OC = AC

BO(\sqrt{3})+BO(\sqrt{3}) =60

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = \frac{OD}{OC}

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

6 0
3 years ago
Find the value of x. Round to the<br> nearest tenth.<br> 26<br> 12<br> X<br> X =<br> Enter
brilliants [131]

Answer:

322. So this is correct or wrong

5 0
3 years ago
Read 2 more answers
Each cube in this figure is a -centimeter unit cube. How many cubes are in the prism? [Type your answer as a number.]
Annette [7]

Answer:

72 cubes

Step-by-step explanation:

One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)

6 0
3 years ago
Complete the square to transform the quadratic equation into the form (x – p)2 = q.
ryzh [129]

The transformed equation is:

(x-3)^2 = 23

Step-by-step explanation:

We have to convert the equation in the form

(x-p)^2 = q

Given equation is:

x^2-6x-8 = 6

Adding 8 on both sides

x^2-6x-8+8 = 6+8\\x^2-6x = 14

In the given equation

a = x

b= ?

So,

2.x.b = 6x\\b =\frac{6x}{2x}\\b = 3\\

So 3^2 will be added on both sides

(x)^2-6x+ (3) = 14+ (3)^2\\(x-3)^2 = 14+9\\(x-3)^2 = 23

Hence,

The transformed equation is:

(x-3)^2 = 23

Keywords: Quadratic equation, transformation

Learn more about quadratic equation at:

  • brainly.com/question/5248692
  • brainly.com/question/5223123

#LearnwithBrainly

7 0
3 years ago
1. A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings.
Nastasia [14]
1 1/2 divided by 6 is 1/4, so 1/4 of a cup of flour for each serving.

12 is the common denominator between 3/4 and 1/3,so 9/12 and 4/12,add them and you get 13/12,take 12 away from the top number and you get 1 1/12, so           1 1/12 is answer for 2

remember,1 serving is 1/4 of a cu of flour, and 9 is only 3 more than 6,so you just add in 3/4 to the flour, and that yould make it 2 1/4 cups of flour.


i hope this helps
8 0
3 years ago
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