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3 years ago

ann has 5 brand new CD’s, which is 3 less than twice the that bob (x) has. translate the situation into an algebraic equation

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Ann = 3 CD's

Ann = 2x-3

5 = 2x-3

x= CD's bob has

5 = 2x-3 is the equation

to solve

add 3 to each side

8 = 2x

divide by 2

x =4

bob has 4 CD's, ann has 5

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Orlov [11]

The length of the altitude is 9.5 cm.

The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:

5.5² + h² = 11²
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Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
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3 years ago

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Sladkaya [172]

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3 years ago

What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????

tamaranim1 [39]

Answer:

Scale factor = $\frac{4}{9}$

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = $\frac{\text{volume of small prism}}{\text{Volume of large prism}}$

= $\frac{128}{1458}$

= $\frac{64}{729}$

= 64 : 729

Scale factor = $\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}$

= $\sqrt[3]{\frac{64}{729}}$

= $\frac{4}{9}$

Perimeter ratio = Scale factor

= $\frac{4}{9}$

= 4 : 9

Surface area ratio = (Scale factor)²

= $(\frac{4}{9})^{2}$

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3 years ago

XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to

Strike441 [17]

9514 1404 393

Answer:

{20, 20, 20, 40} units to {A, B, C, D}
{0, 0, 0, 100}

minimum shipping cost: 3000

Step-by-step explanation:

In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.

The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.

Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.

Then the remaining shipments are fulfilled from Plant 1.

Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.

The amount spent on shipping each day is ...

100×10 +20×24 +20×21 +20×19 +40×18

= 20×(50 +24 +21 +19 +36) = 3000 . . . . daily shipping cost

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3 years ago