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suter [353]
3 years ago
9

Find three consecutive odd numbers such that the sum of five times the smaller number and twic the larger number is 33 more than

six times the median number
Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

37, 39, and 41

Step-by-step explanation:

let the numbers are A, (A+2), (A+4)

the equation could be :

5A + 2(A+4) = 33 + 6(A+2)

5A+2A+8 = 33 + 6A+12

7A+8 = 45+6A

7A-6A = 45-8

A = 37

so, the three odd numbers are :

37, 39, and 41

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Claire accepted a new job at a company with a contract guaranteeing annual raises. Let S
TiliK225 [7]

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

6 0
3 years ago
A falling object accerlates from -10.0m/s to -30.0m/s how much time does that take
Leya [2.2K]

Answer:

2.04 seconds

Step-by-step explanation:

Falling objects near the surface of the earth have an acceleration of -9.81 m/s².

Acceleration is the change in velocity over change in time:

a = (v − v₀) / t

-9.81 = (-30.0 − (-10.0)) / t

-9.81 = -20.0 / t

t = 2.04

It takes 2.04 seconds.

5 0
3 years ago
Su has 3 times as many dolls as Bertha. When Su gives Bertha 4 dolls, they now have the same amount. How many dolls did they EAC
Usimov [2.4K]

Answer: i believe its 8

Step-by-step explanation:

i say 8 because 3x4 is 12 and so if bertha orignally had 4 and was given 4 she would have 8 and if su had 12 and gave away four she would also have 8

5 0
3 years ago
Read 2 more answers
A 2 quart container of window cleaner cost $6.96. What is the price per cup?
marissa [1.9K]

Answer:

$0.87

Step-by-step explanation:

2 quarts = 8 cups

$6.96 ÷ 8 = $0.87

4 0
3 years ago
Read 2 more answers
Which number line represents the solution of 4 - 3x > 13?
Oksanka [162]

Answer:

x

Step-by-step explanation:

Given inequality:

4-3x>13

In order to represent the solution on the number line, we will first solve the given inequality.

We have

4-3x>13

Subtracting both sides by 4.

4-3x-4>13-4

-3x>9

Dividing both sides by -3.

\frac{-3x}{-3} [On dividing both sides by a negative number the sign of the inequality reverses.]

x

So, solution of this inequality will range from -3 to -∞

The number line is represented below.

5 0
3 years ago
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