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hodyreva [135]
3 years ago
11

Michael paid $16.40 for 20.5 centimeters of wire. Find the unit price in dollars per centimeter. If necessary round your answer

to the nearest cent.
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

$0.80

Step-by-step explanation:

$16.40 ÷ 20.5 = 0.80

You can check your work by doing :

20.5 cm of wire × $0.80 = $16.40

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Help my grade depends on it
Veseljchak [2.6K]
Lily made $75.36 more than Layla did.  If Layla raised her price to $1.00, she would still not make more money than Lily.

Use a proportion to find the number of cupcakes Lily makes in 8 hours.  She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):

7/10 = x/480

Cross multiply:
7*480 = 10*x
3360 = 10x

Divide both sides by 10:
3360/10 = 10x/10
336 = x

Lily bakes 336 cupcakes.

She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.

Each cupcake is sold for $1.29; 224(1.29) = 288.96

To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion.  We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:

8/12 = x/480
8*480 = 12*x
3840 = 12x

Divide both sides by 12:
3840/12 = 12x/12
320 = x

She bakes 320 cupcakes.  She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240

Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60

This means Lily makes 288.96-213.60 = 75.36 more than Layla.

If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
6 0
3 years ago
The weight of an object on a particular scale is 155.2 lbs. The measured weight may vary from the actual weight by at most 0.4 l
alexira [117]
155.2 + 0.4 = 155.6
155.2 - 0.4 = 154.8

so it ranges from : 154.8 to 155.6
5 0
3 years ago
Read 2 more answers
Help Plz ASAP!!!!!!​
Zigmanuir [339]

Answer: ( t - 5)* 210 = 41790

T=204

Step-by-step explanation:

Believe me my friend

8 0
3 years ago
Brainliest for correct answer
Kobotan [32]

Answer:

m=14

n=32

p=64

Step-by-step explanation:

B=M, so 154=11m

m=154/11

m=14

E=P, so 118=n+86

n=118-86

n=32

A=L, so 116=180-p

p=180-116

p=64

7 0
3 years ago
1. Homer has an idea for a new donut shop. He wants to design the donut shop so that the rectangular
Tju [1.3M]

Solving a <em>system of equations</em>, it is found that since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

The perimeter of a <u>rectangle of length l and width w</u> is given by:

P = 2(l + w)

The area is:

A = lw

In this problem, perimeter of 63.5 m, hence:

2l + 2w = 63.5

2l = 63.5 - 2w

l = 31.75 - w

Area of 225 m², hence:

lw = 225

(31.75 - w)(w) = 225

w^2 - 31.75w + 225 = 0

Which is a quadratic equation with coefficients a = 1, b = -31.75, c = 225.

Then:

\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625

w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1

w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68

Since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.

A similar problem is given at brainly.com/question/10489198

6 0
2 years ago
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