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Sladkaya [172]
3 years ago
5

Ayliah is 7 years more than 1/2 of Deb's age use x for the variable

Mathematics
1 answer:
irina [24]3 years ago
7 0

Answer:

The expression \frac{1}{2}x+7 can be used to find Ayliah's age.

Step-by-step explanation:

Given statement is:

Ayliah is 7 years more than 1/2 of Deb's age.

Let,

x represent Deb's age.

The expression for Ayliah's age would be;

7 more means addition.

Ayliah's age = \frac{1}{2}x+7

Hence,

The expression \frac{1}{2}x+7 can be used to find Ayliah's age.

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Answer:

The order from greatest to least :

Project B > Project  A > Project  D > Project  C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = \frac{1 inch}{4 feet}

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Area of the building = L\times B=80 ft\times 60=4800 ft^2

Cost of project = $22,000

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Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = \frac{1 inch}{8 feet}

Length of the office building on blueprint = l =10 inch

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B = 64 feet

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Cost of project = $25,000

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Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = \frac{1 inch}{6 feet}

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{6 feet}=\frac{15 inch}{L}

L = 90 feet

Real width of the office building on blueprint = B

\frac{1 inch}{6feet}=\frac{12 inch}{B}

B = 72 feet

Area of the building = L\times B=90 ft\times 72ft=6480 ft^2

Cost of project = $27,000

Cost of project per square foot =\frac{\$27,000}{6480ft^2}=4.17\$/ft^2

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Scale factor = \frac{1 inch}{12 feet}

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Real length of the office building on blueprint = L

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Real width of the office building on blueprint = B

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Cost of project per square foot =\frac{\$30,000}{6912ft^2}=4.34\$/ft^2

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