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Marina86 [1]
3 years ago
7

Use the distributive property to write an equivalent expression: 5(3x + 2)

Mathematics
2 answers:
olga55 [171]3 years ago
8 0
X = 24/12, x = 2 yes yes correct
LenKa [72]3 years ago
7 0

Answer:

15x + 10

Step-by-step explanation:

5(3x + 2)

15x + 10

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Identify the best method for solving the given
PolarNik [594]
Elimination because u could multiply the second equation by -3 which would cancel the x and allow you to solve for y and then everntually x but yea elimination is the best method
4 0
2 years ago
Please help me with this math problem!!!!!​
vagabundo [1.1K]

Answer:

Step-by-step explanation:

\cos ~A=0.5=cos~60 \\A=60^\circ\\B=180-A=180-60=120\\\angle~B=120^\circ

3 0
2 years ago
Keith bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n
AysviL [449]

Answer:

85 cards

Step-by-step explanation:

8 0
3 years ago
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by t
valentina_108 [34]

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

6 0
2 years ago
Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
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