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galben [10]
3 years ago
10

5.

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

Dovator [93]3 years ago
5 0

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

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Nadusha1986 [10]

Answer:

x=70

y=75

Step-by-step explanation:

2x+x+5-35=180

3x-30=180

3x=210

x=70

2(70)-35=105

180-105=75

y=75

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3 years ago
Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines
aev [14]
The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°. 
Therefore,
45° + 62° + k = 180
   107°      + k = 180
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3 years ago
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It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?
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He can complete about 6 pages of math homework.
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2 years ago
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Dream Loan Bank offers loans. Carrie borrows $10,500 to help start a business. The loan must be repaid at 4.5% simple interest o
MaRussiya [10]

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2 years ago
The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand
dlinn [17]

Answer:

$68

Step-by-step explanation:

We have been given the demand equation for Turbos as q=-4p+544, where q is the number of buggies the company can sell in a month if the price is $p per buggy.

Let us find revenue function by multiplying price of p units by demand function as:

Revenue function: pq=p(-4p+544)

pq=-4p^2+544p

Since revenue function is a downward opening parabola, so its maximum point will be vertex.

Let us find x-coordinate of vertex using formula \frac{-b}{2a}.

\frac{-b}{2a}=\frac{-544}{2\times -4}

\frac{-b}{2a}=\frac{-544}{-8}

\frac{-b}{2a}=68

The maximum revenue would be the y-coordinate of vertex.

Let us substitute x=68 in revenue formula.

pq=-4(68)^2+544(68)

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pq=-18496+36992

pq=18496

Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.

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