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4vir4ik [10]
3 years ago
8

True or False? k = 3 over 5 is a solution to the inequality 15k + 3 < 15.

Mathematics
2 answers:
kap26 [50]3 years ago
6 0

\bold{Hey\ there!}

  • \boxed{\boxed{\bold{TRUE}}}
  • \bold{Reason:15(\frac{3}{5})+3

\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}

~\frak{LoveYourselfFirst:)}

loris [4]3 years ago
5 0

True.

15( \frac{3}{5} ) + 3 < 15 \\  \frac{45}{5}  + 3 < 15 \\ 9 + 3 < 15 \\ 12 < 15

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3 years ago
A motorboat can maintain a constant speed of 13 miles per hour relative to the water. The boat makes a trip upstream to a certai
lara [203]

Answer:

  8 mph

Step-by-step explanation:

The speed in each direction is the speed of the boat with the speed of the current appropriately added. If x is the speed of the current, the upstream speed is 13-x; the downstream speed is 13+x.

The ratio of times is inversely proportional to the ratio of speeds, so we ahve ...

  15/63 = 5/21 = (13-x)/(13+x)

  5(13 +x) = 21(13 -x) . . . . . . . cross multiply

  26x = 13(21 -5) = 13·16

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The speed of the current is 8 miles per hour.

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4 years ago
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Mazyrski [523]

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1

Step-by-step explanation:

8 0
3 years ago
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Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highwa
iVinArrow [24]

Given:

Distance between two buildings = 3x^3- x^2 + 7x +100 feet apart.

Distance between highway and one building = 2x^2 + 7x feet.

Distance between highway and second building = x^3 + 2x^2 - 18 feet.

To find:

The standard form of the polynomial representing the width of the highway between the two building.

Solution:

We know that,

Width of the highway = Distance between two buildings - Distance of both buildings from highway.

Using the above formula, we get the polynomial for width (W) of the highway.

W=3x^3- x^2 + 7x +100-(2x^2 + 7x)-(x^3 + 2x^2 - 18)

W=3x^3- x^2 + 7x +100-2x^2-7x-x^3 -2x^2+18

Combining like terms, we get

W=(3x^3-x^3)+(- x^2 -2x^2-2x^2)+ (7x -7x)+(100 +18)

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W=2x^3-5x^2+118

Therefore, the width point highway is 2x^3-5x^2+118.

8 0
3 years ago
What is the value of k?​
ELEN [110]

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

4 0
3 years ago
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