The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers.

Answers

Answer 1

Answer: x + y = 92

x/5 + y/2 = 34 / both sides *10
10.x/5 + 10.y/2 = 340
2x + 5y = 340
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x + y = 92 /both sides *-2
2x + 5y = 340

__________________________________

-2x -2y = -184
+ 2x +5y = 340
3y = 156
y = 32

x + y = 92
x + 32 = 92
x = 60

Answer 2

Answer: $x+y=92\n (1)/(5)x+(1)/(2)y=34\n\n x=92-y\n 2x+5y=340\n\n 2(92-y)+5y=340\n\ 184-2y+5y=340\n 3y=156\n y=52\n\n x+52=92\n x=40$

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How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?Which equation can you use to solve this problem?
To the nearest year, it will take about ___
years to double the original investment.

Answers

To the nearest year, it will take about 10.7 years to double the original investment.

How to solbve for the period it would take

In this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.

$2000 = 1000(1 + 0.065/12)^(12t)$

$2 = (1 + 0.065/12)^(12t)$

ln(2) = 12t * ln(1 + 0.065/12)

t = ln(2) / (12 * ln(1 + 0.065/12))

t ≈ 10.7

Read more on compounded monthly here brainly.com/question/31242519

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Answer: edgen

B 2=(1+0.065/12)^12t

Step-by-step explanation:

Rite the sentence as a mathematical expression. z is less than or equal to 13 .

Answers

Answer:

z ≤ 13

Step-by-step explanation:

note that the symbol ≤ means ' less than or equal to'

then the expression z is less than or equal to can be written as

z ≤ 13

The formula n = rt gives the number n of boxes packed in time t at rate r. A machine packs boxes at a constant rate of 11.5 boxes per minute.How many boxes will the machine pack in 6 min?

please help! 15 points and I will thank the best answer!

Answers

n= 11.5(6)
n= 69
^ pretty sure I got it?

The answer is 69 because 11.5 x 6 is 69
:)

3 (b) Graph the ordered pairs from the table. Distance (in miles) y918273645546372819099x12345678910110 Pencil Number of days

Answers

Answer:

To graph the ordered pairs from the table, we need to plot the points on a coordinate plane. The table provides the distance (in miles) traveled, labeled as "y," and the corresponding number of days, labeled as "x." Here are the steps to graph the ordered pairs:

1. Write down the ordered pairs from the table. The table shows the following pairs:

(1, 9)

(2, 1)

(3, 8)

(4, 2)

(5, 7)

(6, 3)

(7, 6)

(8, 5)

(9, 4)

(10, 5)

(11, 4)

(12, 6)

(13, 3)

(14, 7)

(15, 2)

(16, 8)

(17, 1)

(18, 9)

(19, 0)

(20, 9)

(21, 9)

(22, 9)

(23, 9)

(24, 9)

(25, 9)

(26, 9)

(27, 9)

(28, 9)

(29, 9)

(30, 9)

2. Draw a set of coordinate axes. Label the x-axis as "Number of days" and the y-axis as "Distance (in miles)."

3. Locate each ordered pair on the coordinate plane by starting at the origin (0,0) and moving along the x-axis and then up or down the y-axis.

4. For example, to plot the first ordered pair (1, 9), move 1 unit to the right along the x-axis and then 9 units up along the y-axis. Mark the point where the lines intersect.

5. Repeat this process for each ordered pair, marking the corresponding point on the graph.

6. Connect the points with a smooth curve or line to represent the data.

7. Finally, label the points or the line with the corresponding ordered pairs.

By following these steps, you will have graphed the ordered pairs from the table, representing the relationship between the number of days and the distance traveled.

Step-by-step explanation:

A polynomial function has roots –5 and 1. Which of the following could represent this function?

Answers

Answer: f(x)=(x+5)(x-1)

Step-by-step explanation:

got it right on edge

Answer:

-5

Step-by-step explanation:

Help me solve the other half of my question !!!!!!!!!click here !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

thanks

Answers

Using 1st equation:
15 = 16/3 + b
(45-16)/3 = b
29/3 = b

Using last equation:
47 = 16*7/3 + b
(141-112)/3 = b
29/3 = b

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