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2 years ago

In a list of 7 consecutive integers, the sum of the first and last is 518. find the largest.

Mathematics

1 answer:

solong [7]2 years ago

6 0

Answer:

262

Step-by-step explanation:

If x is the first integer, then x+1 is the second, x+2 is the third, and so on. Meaning the 7th term in the list is x+6.

x + x + 6 = 518

2x = 512

x = 256

The first integer is 256, so the last integer is 262.

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Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

Trava [24]

Answer:

Option A.

Step-by-step explanation:

From the first dot plot the given data set for week 1 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69), (70, 70, 72, 72, 72), (75, 75, 76, 78, 78), (80, 80, 80, 89, 89)

$Range=Maximum-Minimum=89-62=27$

$Median=\frac{72+75}{2}=73.5$

$Mean=\frac{\sum x}{n}=\frac{1491}{20}=74.55$

From the second dot plot the given data set for week 2 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 85, 86, 86, 86, 88, 88, 88, 88, 89, 89, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69, 70, 70), 72, (72, 72, 75, 75, 76, 78, 78), (80, 80, 80, 85, 86, 86, 86), 88, (88, 88, 88, 89, 89, 89, 89)

$Range=Maximum-Minimum=89-62=27$

$Median=\frac{78+80}{2}=79$

$Mean=\frac{\sum x}{n}=\frac{2364}{30}=78.8$

The range for Week 1 is equal to the range for Week 2.

The median for Week 2 is more than the median for Week 1.

The mean for Week 2 is more than the mean for Week 1.

Therefore, the correct option is A.

6 0

2 years ago

Factor the following binomail:<br><br> (2x^4 - 12x^7)

Ann [662]

Hopes this helps:

Answer: 2x^4(1-6x^3)

5 0

2 years ago

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. T

larisa86 [58]

Complete question :

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?

Answer:

Step-by-step explanation:

Given that:

Length of square block to be used = 5/6 meters

Length of garden. Walkway = 5 m

Since length of walkway is the same on both sides, then the Total length = 5m + 5m = 10 meters

Number of square stones required :

Total length of walkway / side length of stones to be used

= 10 meters ÷ (5/6) meters

= 10 * 6/5

= 60 / 5

= 12 stones

8 0

2 years ago

A governor of state A earns $53,280 more than the governor of state B. If the total of their salaries is $284,680 find the salar

Sedbober [7]

Answer:

Step-by-step explanation:

Let us take the salary of state B as 'x'

Salary of state A = 53280 + x

Total salary = 284680

Therefore, 53280 + x + x =284680

= 2x = 284680 - 53280

= x = 249400/2

x = 124700

Salary of state B = 124700

Salary of state A = 177980

7 0

2 years ago

What is the value for x

algol [13]

Those are adjacent angles. They will equal 180 degrees since they both ly on the same straight line. Straight line= 180 degrees.

10x-20+6x+8=180

Add 20 to both sides.

10x+6x+8= 200

Combine like terms.

16x=192

Divide both sides by 16.

x=12

I hope this helps!
~kaikers

3 0

3 years ago

Read 2 more answers