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Mars2501 [29]
2 years ago
11

A tree has 99,400 leaves before autumn. Once autumn begins, the number of leaves on a tree decreases at a rate of 13% per day. A

fter t days of autumn, there are fewer than 12,000 leaves on the tree.
Which inequality represents this situation, and after how many days of autumn will the number of leaves on the tree be fewer than 12,000?
A.
12,000(1.087)t > 99,400; 18 days
B.
12,000(0.913)t < 99,400; 17 days
C.
99,400(0.87)t < 12,000; 16 days
D.
99,400(1.13)t > 12,000; 15 days
Mathematics
1 answer:
sp2606 [1]2 years ago
6 0
D, is the correct answer
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How do i find the x intercet for y=6x−7.
kolezko [41]

Answer:

Step-by-step explanation:  

y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-6x+7  = 0 and calculate its properties.

Graph of a Straight Line

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -7/1 so this line "cuts" the y axis at y=-7.00000

 y-intercept = -7/1  = -7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/6 Our line therefore "cuts" the x axis at x= 1.16667

 x-intercept = 7/6  =  1.16667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -7.000 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - (-7.000) = 12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     = 12.000/2.000 =  6.000

 Slope = 12.000/2.000 = 6.000

 x-intercept = 7/6 = 1.16667

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3 0
3 years ago
Find the value of x,y and z. The Diagram is not a scale!
joja [24]

Answer:

x= 76, y = 63  z, 104

Step-by-step explanation:

We can find x since the three angles of a triangle add to 180 degrees

46+58+x = 180

104+x =180

Subtract 104 from each side

x = 180-104

x = 76


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x+z =180

76+ z = 180

Subtract 76 from each side

z = 180-76

z = 104


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z+ 13 +y = 180

104+13+y = 180

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Subtract 117 from each side

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3 years ago
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Answer:

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In the given diagram if AB || CD, ∠ABO = 118° , ∠BOD = 152° , then find the value of ∠ODC.
GaryK [48]

Answer:

90°

Step-by-step explanation:

Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.

Therefore,

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118° + ∠BOP = 180°

∠BOP = 180° - 118°

∠BOP = 62°.... (1)

Since, ∠BOP + ∠POD = ∠BOD

Therefore, 62° + ∠POD = 152°

∠POD = 152° - 62°

∠POD = 90°.....(2)

∠POD + ∠ODC = 180° (by interior angle Postulate)

90° + ∠ODC = 180°

∠ODC = 180° - 90°

\huge\red {\boxed {m\angle ODC =  90°}}

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3 years ago
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Zarrin [17]

Answer:

y=x-3

Step-by-step explanation:

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