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adell [148]
3 years ago
12

Three consecutive integers have a sum of 42 . Find the integers.

Mathematics
1 answer:
Masteriza [31]3 years ago
3 0
The three consecutive integers are13 14 and 15.
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Write the equation of a line that is parallel to {y=-\dfrac{5}{4}x+7}y=− 4 5 ​ x+7y, equals, minus, start fraction, 5, divided b
AlladinOne [14]

Write the equation of a line that is parallel to y=-5/4x + 7

Any line parallel to the given line will have the same slope. In an equation presented in the y-intercept form, the slope is always the coefficient of "x". In this case, the slope is -5/4 (meaning the next point is down 5, and 4 to the right).


Our equation so far looks like this: y = -5/4x + b

"b" represents the y-intercept. To solve for be, we will need to substitute values into x and y. The next piece of information it gives us is one of the points, or solutions, of the line. This means that since this point is on the line, we can use its x and y values to substitute.


x = -4

y= 1

y = -5/4x + b

1 = -5/4(-4) + b

1 = 5 + b

-4 = b


Final Answer: y = -(5/4)x -4

7 0
3 years ago
What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for pie.
sammy [17]

Answer:

A. 15.7 ft

Step-by-step explanation:

circumference = 2πr

radius= half the diameter 5/2=2.5

2(3.14)(2.5)=15.7 ft

8 0
3 years ago
From the equation y=3.5x identify the constant of proportionality
Ilya [14]

Answer:

3.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
7th term in geometric sequence an=2 5(n-1)
Soloha48 [4]
To find the 7th term, all you have to do is plug it in the equation.

First n would equal 7 because we are looking for the 7th term.

Now, let's plug everything we know into the equation.

a7 = 2+5 * (7-1)

= 2 + 5 * 6

= 2 + 30

= 32

In conclusion, the 7th term would equal 32.
3 0
3 years ago
An electric company has to track on-time payments and late payments for each customer monthly. It is impossible for a customer t
OLga [1]

Answer:

The  probability that a customer pays late each month is    P(B)  =  0.27

Step-by-step explanation:

Let     P( A ) be the probability that the customer pays on time and the value is  0.55

Let  P( B )  be the  probability that a customer pays late each month

So

  The probability that a customer pays late or on-time each month  is  P(A u B) and  the value is  0.82

The probability that a customer pays on-time and late each month is  P(A n B) and  the value is  zero ( 0 ) given that it is impossible

   Now The probability that a customer pays late or on-time each month  is mathematically represented as

      P(A u B)  =  P(A) +  P(B)  -   P(A n B)

=>     0.82  =  0.55 + P( B ) -   0

=>    P(B)  =  0.27

8 0
3 years ago
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