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hammer [34]
4 years ago
13

Use the distributive property to decide which of the following is equivalent to 2(3 + 5x)? Select all that apply.

Mathematics
1 answer:
Lana71 [14]4 years ago
7 0
2(3+5x) in the distributive form, would be 2(3)+2(5x)
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Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
A board game is $12 and has a 35% increase. What is the amount of increase?
erastova [34]

Answer:

16.2$

12/35%=4.2+12

4 0
3 years ago
Find The Area Of The Shape Shown Below
Vesnalui [34]

Answer:

<u>32</u>

Step-by-step explanation:

I proceeded to divide the shape up into 2 triangle and 1 square. The added sum of the 2 divided triangles is 16 and the square is 16. Add those to to get <u>32</u>.

The following shape is a trapezoid

area formula:

A=

A=

A= (4)(12+4)

A= (4)(16)

A= (4)(16)

A= (64)

A=32

Also, is that Khan Academy?

8 0
3 years ago
Read 2 more answers
Joeff charges 20$ flat rate plus 27$ per hour to work on cars. how many dollars does joeff earn for a 5 hour job?
Ket [755]
Answer is $155 for the job

Step by step

You can use y intercept formula for this one.

Y = mx + b
Y = Dollars earned, what you are looking for.
M= rate per hour (27)
X = hours worked (5)
B = flat rate (20)

y = (27) (5) + 20

y = $155

Problem solved!
7 0
2 years ago
Can someone plz help me with this it’s due rn
Rama09 [41]
20, 20, 20, 30, 20
Tip for rounding nearest 10th: if the 2nd number is above 5 it’s the one above, if it’s below 5 it’s the one below.
8 0
3 years ago
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