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Airida [17]
3 years ago
12

Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

n+1 = 127 + 1 = 128

the smaller number is 127

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Which equation in point-slope form contains the points (6, 2) and (2, 4)? A -4=-1/2(x-6) B y – 4 = –2(x – 2) C y-2=-1/2(x-6)
nlexa [21]
Hello!

The equation for point-slope form is 

y - b = m(x - a)

m is the slope
(a, b) is a point the line passes through

We are looking for a equation that follows this

The answer is C because a point the line goes through is (6, 2)

The answer is C

Hope this helps!
5 0
3 years ago
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Which equation has infinitely many solutions?
RideAnS [48]

Answer:

it might be c or a i go with c

Step-by-step explanation:

not for sure just a best guess

6 0
3 years ago
Terrance made a list of his expenses. He is creating a check-off matrix to organize when his bills are due. A check-off matrix i
valkas [14]

Complete the chart  by marking each of the expenses in the correct cell depending on whether the expense occurs montlhy, quarterly, annually, etc. as shown in the chart.

<h3>What is a check-off matrix?</h3>

This is a type of chart that is completed by adding X to the cells. In the case of expenses, check-off matrixes help you to visualize how often every expense occurs, and therefore it can be useful to control or monitor expenses.

This type of matrix often includes:

-Columns with the months of the year or the initals of these. June = J.

-Rows that show the expenses a person has.

<h3>How to do a check-off matrix?</h3>
  1. List the expenses
  2. Make an X in each of the cells that the each expense should occur.
  3. Verify the information once the chart is finished.

Below you can find the complete chart:

Learn more about expenses in brainly.com/question/24803457

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6 0
2 years ago
2
Mkey [24]

Answer:

60(a+b) means that you would have to distribute

While 60a+ 60b is already in it's simplest form

6 0
4 years ago
01:58:53
lord [1]

Answer:

see the explanation

Step-by-step explanation:

we know that

point B(-6, 1) is translated to B'(-3,-2)

step 1

The rule of the translation is

(x,y) -------> (x+a,y+b)

substitute

B(-6,1) -------> B'(-3,-2)

step 2

Write the equations

-6+a=-3

-2=1+b

step 3

Solve each equation

-6+a=-3 ------> a=-3+6 -----> a=3

-2=1+b ------> b=-2-1 ------> b=-3

step 4

Write the rule of translation

(x,y) -------> (x+3,y-3)

That means ------> The translation is 3 units at right and 3 units down

4 0
4 years ago
Read 2 more answers
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