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2 years ago

Mckenzie has been saving her earnings from mowing the

Mathematics

1 answer:

Ksivusya [100]2 years ago

6 0

Answer:

7 games

Step-by-step explanation:

22 / 3 =

7.33

Mckenzie can buy 7 games

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

3 years ago

Bread and sugar cost 110 together,bread cost 100 more than sugar,how much does sugar cost?

dangina [55]

First write an equation system based on the problem
We can write "Bread and sugar cost 110 together" as
∴ b + s = 110
We can write "bread cost 100 more than sugar" as
∴ b = 100 + s

Second, solve the equation system by subtitution method
Subtitute b with (100+s) in the first equation, and we'll find the value of s
b + s = 110
(100 + s) + s = 110
100 + 2s = 110
2s = 110 - 100
2s = 10
s = 10/2
s = 5
The cost of the sugar is 5

4 0

3 years ago

Please help! i'm confused! Find the area of a kites with diagonals 9in and 12in.

kolbaska11 [484]

Notice the picture
the rhombus, or kite, is really just 4 triangles
all sides are the same lenght in a rhombus,

thus, find the area of all of the triangles,
and you already have two sides given,
and then, add them up

or just find the length of one, and multiply times 4 :)

recall, area of a triangle = 1/2 bh