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Alchen [17]
3 years ago
15

PLEASE HELP

Mathematics
1 answer:
sweet [91]3 years ago
8 0

Answer:

a)2 + 3 + 5 + 6 = 16

b)8a + b-9

c)8a - 28b + 15c

Step-by-step explanation:

We are given the following in the question:

1. Equivalent expression

2 + 3 + 5 + 6

Since all the terms are like terms, we can write,

2 + 3 + 5 + 6 = 16

2. Sum of given expression

(8a - 2b - 4) \text{ and } (3b - 5)\\ (8a - 2b - 4) + (3b -5)\\= 8a -2b -4 + 3b -5\\\text{Collecting the like terms}\\8a + (-2b+3b) + (-4-5)\\= 8a + b-9

3. Standard form of the expression

4(2a) + 7(-4b) + (3 \times c \times 5)\\=(8a) + (-28b) + (15c)\\=8a - 28b + 15c

which is the required standard form of the given expression.

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A) In 2000, the population of a country was approximately 5.82 million and by 2040 it is projected to grow to 9 million. Use the
mezya [45]

Answer:

By 2086

Step-by-step explanation:

The provided equation is:

A=A0*e^{k*t} , where:

A=total of population after t years

A0=initial population

k= rate of growth

t= time in years

Given information:

The final population will be 15 million, then A=15.

We start in 2000 with a 5.82 million population, then A0=5.82.

Missing information:

Although k is not given, we can calculate k by using the following statement, from 2000 to 2040 (within 40 years) population is proyected to grow to 9 million, which means a passage from 5.8 to 9 million (3.2 million increament).

Then we can use the same expression to calculate k:

A=A0*e^{k*t}

9=5.8*e^{40*k}

ln(9/5.8)/40=k

0.010984166494596147=k

0.011=k

Now that we have k=0.011, we can find the time (t) by which population will be 15 million:

A=A0*e^{k*t}

15=5.8*e^{0.011t}

ln(15/5.8)/0.011=t

86.38111668634878=t

86.38=t

Because the starting year is 2000, and we need 86.38 years for increasing the population from 5.8 to 15 million, then by 2086 the population will be 15 million.

4 0
3 years ago
Please help and explain 20points
m_a_m_a [10]

Hey, there, Brooklyn! For the first problem, set up a proportion. Think of the line that separates the numerator and denominator is the word 'per'. If it's 0.75 yd per costume, then your fraction is \frac{0.75(yards)}{1(costume)}. If she buys 6 yards, simply multiply 6 * 0.75, which is 4.5. However, making 4.5 costumes doesn't sound too possible, does it? It's better to just say she can make 4 costumes.

Now let's look at the second problem. If just one side has a length of (4x - 2y), then that means there must be another side with the same length, as it is a rectangle we're talking about here. That means we should multiply the known length by two and subtract it from the perimeter like this:

12x + 8y - 2(4x - 2y)

Remember the PEMDAS method. Distribute the 2;

12x + 8y - 8x + 4y

Now combine like terms: 12x - 8x + 8y + 4y

--> 6x + 12y

Now we have an answer, but it's not the right one. You see, this is the length of both of the unknown lengths. To get the right answer, divide this by 2. The other side is 3x + 6y units long. Hope this helped.

7 0
3 years ago
A person walks 1/5 miles in 1/15 hour. The persons speed is _ miles per hour. whats the speed.
Lostsunrise [7]

Answer:

3 miles

Step-by-step explanation:

you walk 1/5 miles for 1/15 hour, the just do 1/5 time 15 = 15/5 =3

8 0
3 years ago
A 6-foot-long sub sandwich is cut into 8 equal pieces for a family to share. How long is each piece?
Elden [556K]
The answer is 9 inches.

There are 12 inches in every foot. 
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3 0
3 years ago
Read 2 more answers
Rogers little brother, Saul, wants to know if 5×7=7×5. If you were Roger, how would you explain to Saul whether the equation is
ira [324]

Answer:

Yes

Step-by-step explanation:

This equation is correct

5 x 7 = 7 x 5

We know this because this equation is an example of the reflective property

35 = 35

The reflective property is when any number is equal to itself

for example:

1=1

2=2

Hope this helps :)

5 0
3 years ago
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