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3 years ago

Calculate percentage to the nearest 0.1%.

Mathematics

1 answer:

Anna71 [15]3 years ago

4 0

9514 1404 393

Answer:

a. $4.17

b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

t : c = 10 : 3

The menu price of the pie slice will be ...

$1.25 × 7/3 ≈ $4.17

b. The ratio of markup to cost is ...

m : c = 7 : 3 ≈ 2.333 = 233.3%

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3 years ago

2x-x+7 = x+3+4 is it no solution, one solution. or multiple solution if one of 2 please tell me what is x

ololo11 [35]

Answer:

x = x

Step-by-step explanation:

Basically, if you simplify the equation, you'll get x + 7 = x + 7 which means x = x which means you will have an infinite amount of solutions since x can be anything.

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4 years ago

What is the measurement of ∠BAC and ∠ABC? Explain your process of solving.

Paraphin [41]

Answer:

<BAC = 78

<ABC = 68

Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

Substitute,

(5y + 3) + (4y + 8) = (146)

Simplify,

9y + 11 = 146

Inverse operations,

9y + 11 = 146

-11 -11

9y = 135

/9 /9

y = 15

Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),

<BAC = 5y + 3

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5 0

3 years ago

Please help me!!!!!!!!!!!!!!!!!!!!!!!

MAXImum [283]

Answer:

120(I'm not definitely sure)

Step-by-step explanation:

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8 0

2 years ago

An athletic field is a 60 yd60 yd-by-120 yd120 yd rectangle, with a semicircle at each of the short sides. A running track 101

gregori [183]

Distance of each track are:

D₁ = 428.5 yd

D₂ = 436.35 yd

D₃ = 444.20 yd

D₄ = 452.05 yd

D₅ = 459.91 yd

D₆ = 467.76 yd

D₇ = 475.61 yd

D₈ = 483.47 yd

<u>Explanation:</u>

Given:

Track is divided into 8 lanes.

The length around each track is the two lengths of the rectangle plus the two lengths of the semi-circle with varying diameters.

Thus,

$D = 2(120) + 2. \frac{1}{2} \pi d\\\\D = 240 + \pi d$

Starting from the innermost edge with a diameter of 60yd.

Each lane is 10/8 = 1.25yd

So, the diameter increases by 2(1.25) = 2.5 yd each lane going outward.

So, the distances are:

D₁ = 240 + π (60) → 428.5yd

D₂ = 240 + π(60 + 2.5) → 436.35 yd

D₃ = 240 + π(60 + 5) → 444.20 yd

D₄ = 240 + π(60 + 7.5) → 452.05 yd

D₅ = 240 + π(60 + 10) → 459.91 yd

D₆ = 24 + π(60 + 12.5) → 467.76 yd

D₇ = 240 + π(60 + 15) → 475.61 yd

D₈ = 240 + π(60 + 17.5) → 483.47 yd

4 0

4 years ago