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DENIUS [597]
3 years ago
12

Two groups of workers are painting a bridge in the bay. The first group is responsible for painting the north side of the bridge

, and the second group is responsible for painting the south side of the bridge. The first group has already painted 2 kilometers of the bridge and is painting 2 additional kilometers per day. The second group has already painted 5 kilometers of the bridge and is painting 1 additional kilometer per day. When the two groups have painted the same amount of the bridge, how much of the bridge will they each have painted?
Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

They will each have painted 8 km. This goal will be met on Day 4.

Step-by-step explanation:

Group A | Group B

Start: 2   | Start: 5                               Day 1

2 + 2 = 4 | 5 + 1 = 6                            Day 2

4 + 2 = 6 | 6 + 1 = 7                             Day 3

6 + 2 = 8 | 7 + 1 = 8                            Day 4

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Write an equation with the solution x=20??
Art [367]
Let's just start with x=20 and then do some algebra to it to make it all complicated
x = 20
2 * x = 2 * 20
2x = 40
2x - 13 = 40 - 13
2x - 13 = 27
5 0
3 years ago
in a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who
KIM [24]
The value of k is 400 points.

If the player fails to complete 100 tasks, then they lost 200 points. At the end of the game, they had 200 points.

We can write and solve the following equation to determine where they started.

x - 200 = 200
x = 400
8 0
3 years ago
Read 2 more answers
What is the interquartile range of the box and whisker plot
Irina18 [472]

Answer:

(IQR) interquartile range = 5

Step-by-step explanation:

Lower quartile: 48

Upper quartile: 53

Median: 52

Lowest value: 46

Highest value: 55

(IQR) interquartile range: Upper quartile - Lower quartile = final answer

(IQR) interquartile range: 53 - 48 = 5

5 0
3 years ago
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
3 years ago
Read 2 more answers
20 POINTS
Nesterboy [21]

Answer:

  7.5 meters

Step-by-step explanation:

As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.

In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is

  51 m = 2(18m + side opposite)

  15 m = 2 × (side opposite)

  7.5 m = side opposite

_____

<em>Comment on side lengths</em>

In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, <em>opposite</em> sides are <em>always</em> different lengths.

4 0
3 years ago
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