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zmey [24]
3 years ago
9

The sum of six consecutive integers is −9. What are the integers?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

4, -3, -2, -1, 0, 1

Step-by-step explanation:

since there are 6 consecutive integers, we can say create an equation:

n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) = -9

add like terms to get:

6n + 15 = -9

subtract 15 from both sides:

6n = -24

divide both sides by 6 and you get n:

n = -4

plug -4 into n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) to find all six integers:

-4 + (-4 + 1) + (-4 + 2) + (-4 + 3)+ (-4 + 4) + (-4 + 5)

simplify the parenthesis:

-4, -3, -2, -1, 0, 1

the sum of all of these number are -9

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Alice and her sister picked 57 and 23 roses respectively. How many roses should Alice give to her sister to have the same number
tino4ka555 [31]

If you add up 57+23=80 40+40=80 so 40 is the answer they will have the same amount Alice gets 40 and her sister gets 40

5 0
3 years ago
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Jet001 [13]

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6 0
3 years ago
If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg
Nadya [2.5K]

Answer:

The length of the other leg is 3.21\ units

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

so

The area of a right triangle is equal to

A=\frac{1}{2}(a)(b)

where

a and b are the legs of the triangle

In this problem we have

a=39.2\ units

A=63\ units^{2}

substitute the values

63=\frac{1}{2}(39.2)(b)

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7 0
3 years ago
Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to
vesna_86 [32]

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

4x = 10 * (x - 18)

4x = 10x - 180

-6x = - 180

x = -180/-6 (Dividing by - 6)

x = 30

Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:

30 minutes = 0.5 hours and 12 minutes = 0.2 hours

Total distance = 4 *0.5 + 10 * 0.2

Total distance = 2 + 2

Total distance = 4 miles.

3 0
3 years ago
Read 2 more answers
A second number is 9 times a first number. A third number is 100 more than the first number. If the sum the three numbers is 694
Ierofanga [76]

Answer:

54, 486, 154

Step-by-step explanation:

x+9x+100+x= 694

11x= 694-100

11x=594

x= 54

54×9=486

54+100= 154

54+486+154=694.

7 0
3 years ago
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