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gulaghasi [49]
3 years ago
8

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. What would be the e

quation for this?
Mathematics
2 answers:
bonufazy [111]3 years ago
8 0

Answer: 9x+40=112

Step-by-step explanation:

Sveta_85 [38]3 years ago
7 0

Answer: 9h + 40 = 112

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If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
MAVERICK [17]

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

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These are the steps needed for this question hope this helps if there is any more questions do feel free to ask them

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A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d
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A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}
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Step-by-step explanation:

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