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2 years ago

Find the sum of 997 + 992 + 987 +...+ 257 +252

Mathematics

1 answer:

Vikentia [17]2 years ago

7 0

Answer:

93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

an = a1 +d(n -1)

(an -an)/d +1 = n

(252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

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Answer:The total amount of money that the school will spend for tickets is $9900

Step-by-step explanation:

Tickets to a baseball game are 20 dollars for an adult and 15 dollars for a student. A school bus tickets for 45 adults and 600 students. This means that the total amount spent by the school on adult tickets is 20 × 45 = $900

The total amount spent by the school on students tickets is 15 × 600 = $9000

The total amount of money that the school will spend for tickets will be the sum of the amount spent on adult tickets and student tickets. It becomes

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2 years ago

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2 years ago

Identify an equation in point-slope form for the line parallel to y = 1*-7 that

kakasveta [241]

Answer:

y + 2 = 1 (x+3) ............> y + 2 = x + 3

Explanation:

The general form of the equation of a line in point-slope form is:

y - y₁ = m (x - x₁)

where:

m is the slope of the line

(x₁ , y₁) is a point that belongs to the line

The general form of the equation of a line in slope-intercept form is:

y = mx + c

where:

m is the slope

c is the y-intercept

1- Getting the point:

We are already given the point (-3 , -2) so we'll directly use it

2- Getting the slope

We are given that our line is parallel to the line:

y = 1x - 7

We know that parallel lines have equal slopes

This means that:

slope of the line we want = 1

3- Getting the equation:

Substitute with the point and slope in the above form to get the equation

This is done as follows:

y - y₁ = m (x - x₁)

y - (-2) = 1 (x - (-3))

y + 2 = 1 (x + 3)

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2 years ago

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Step-by-step explanation:

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Victoria's town voted on a new speed limit. Out of 56 votes, 42 were in favor of the new speed limit. What percentage of the vot

victus00 [196]

Answer:

75% of the votes were in favor.

Step-by-step explanation:

To find the percent(rate), we use the formula r=p/b

The question is "What percent(rate) of 56 is 42?"

So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.

Perform the calculations and the result will show 0.75

Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.

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3 years ago