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il63 [147K]
3 years ago
7

The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and le

t b represent the second number. What are the two numbers? Use the table to answer the question.
Mathematics
2 answers:
inn [45]3 years ago
8 0

Write 2 equations:

a +b = 39

and b = 1/2a + 6

Now replace b in the first equation with the second one:

a + 1/2a + 6 = 39

Combine like terms:

1 1/2a + 6 = 39

Subtract 6 from each side:

1 1/2a = 33

Divide both sides by 1 1/2:

a = 33 / 1 1/2 = 33 / 1.5

a = 22

Now replace a with 22 in the first equation and solve for b:

22 + b = 39

b = 39 -22

b = 17

The two numbers are 17 and 22.

ohaa [14]3 years ago
8 0

Answer:22 and 17

Step-by-step explanation:

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In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 1
Afina-wow [57]

Answer:

a) P(t) = 330 (1.11)^{t}

b)P(t) →population after t years.

   t →number of years.

c) Number of deer after five years = 556

Step-by-step explanation:

a) The population increasing at an annual rate of 11%, means the population is being multiplied by 1.11 each year.

So, we can use the formula

                             P(t) = P (1+\frac{r}{100} )^{t}

                             P(t) = 330 (1+\frac{11}{100} )^{t}

                             P(t) = 330 (1.11)^{t}

b) In this model

                        P(t) → population after t years

                          P → present population

                          r → annual increasing rate

c) Number of population after 5 years is,

                    P(5) = 330 (1.11)^{5}

                           = 556

 Number of deer after 5 years = 556

8 0
2 years ago
The fastest train in the Western Hemisphere is the Acela Express. On a route between Boston, Massachusetts, and New Haven, Conne
Vinil7 [7]
What answer is 75 is the correct answer
3 0
2 years ago
A sofa regularly rells for $800. The sale price is $600
sveta [45]

Because the sofa usually sells for $800, we know that's 100% of the price.

100% = $800

Let's find 1%.

1% = $800/100

1% = $8

Next, multiply $8 by 75 to find the percent of the sofas price when it's $600.

75% = $600

We now know that $600 is 75% of the sofas original price.

100% - 75% = 25%

The percent of decrease I'm the sofas sale price is 25%.

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7 0
1 year ago
1 point
dolphi86 [110]

Answer:

Find the unit rate of each printing machine and compare.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
(ab² + 13b - 4a) + (3ab² + a +7b)
Natalija [7]

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

4 0
3 years ago
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