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Serga [27]
3 years ago
8

Find three consecutive integers such that the sum of the first integer, half the second integer and four times the third integer

is -30
Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0
X + 0.5(x + 1) + 4(x + 2) = -30  (where x is the lowest integer)
x + 0.5x + 0.5 + 4x + 8 = -30
5.5x =   -38.5
x = -7

The required integers are -7, -6 and -5 (answer).
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A​ quality-control inspector examined 100 light bulbs and found 7 defective. At this​ rate, how many defective bulbs would there
anastassius [24]

Answer: 175 defective bulbs.

Step-by-step explanation:

1. Keeping on mind that the inspector examined 100 light bulbs and found 7 defective, you can calculate the number of defective bulbs that there would be in a lot of 2500 ​bulbs as following:

- Let's call the number of defective bulbs that there would be in a lot of 2500 ​bulbs x.

- Then, you have:

\frac{100}{7}=\frac{2500}{x}

- Solve for x:

 x=\frac{2500*7}{100}

x=175

2. Then, there would be 175 defective bulbs  in a lot of 2500 ​bulbs.


4 0
3 years ago
Rename 2/5 as a percent_______________________
loris [4]

It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A <em>cent</em>ury is 100 years.)

Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.

(2/5)×(20/20) = 40/100 = 40%

You can also get there via decimals.

... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%

Or, you can multiply by 100%.

... (2/5)×(100%) = (200/5)% = 40%

7 0
3 years ago
NO LINKS!! Explain your answers (show the support by showing the changes in x and y on your table). If the relationship is linea
sdas [7]

Answer:

<u>Linear relationship</u>: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

<u>Inverse relationship</u>:  the value of one variable decreases as the value of the other variable increases.

<u>Exponential relationship</u>: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

<u>Question 5</u>

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

\sf y=\dfrac{35}{x}

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

<u>Question 6</u>

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

\sf y=5^x

5 0
2 years ago
Stacy earns a salary of 2,500. She also receives a 8% commission on any sales that she makes that month. If she makes a total of
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