MATHEMATICS HIGH SCHOOL

What is the sum of a 58-term arithmetic sequence where the first term is 6 and the last term is 405?11,097
11,508
11,919
12,330

Answers

Answer 1
Answer: Given:
58 - term 
first term : 6
last term : 405

Sum = n * (a+l)/2
Sum = 58 * (6 + 405)/2
Sum = 58 * 411/2
Sum = 58 * 205.5
Sum = 11,919
Answer 2
Answer:

Answer:

11,919

Step-by-step explanation:

took the test

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At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?490x + 700y < 4000  490x + 700y ≤ 4000  490x + 700y  > 4000  490x + 700y ≥ 4000
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Please help me, I really need help. I will mark brainliest answer!! A bald eagle can eat 3.85 kilograms of fish in a week. The eagle eats the same amount each day. How many grams of fish will the eagle eat in a day?

Answers

So, let's list the facts:
1) In a week, the eagle eats 3.85 kilograms
2) there are 7 days in a week
3) on each day, the eagle eats the same amount.
This means that in order to find out how much was eaten on each day, we need to divide the whole week's food by the number of days in a week:

3.85/7= 0.55

(3.85=3.5+0.35 and 5*7=55, so   (3.5+0.35)/7=0.5+0.05=0.55

Every day the eagle eats 0.55 kilograms of meat!

Given: 2x + 3y = 6. What is the y-intercept?

Answers

Substituting x=0 , we get
2*0+3y = 6
3y=6
y=2 is the y intercept.

Final answer:

To find the y-intercept in an equation, we set x equal to 0 and solve for y. For the equation 2x + 3y = 6, when x is replaced with 0, it simplifies to 3y = 6. Dividing by 3 gives y = 2, meaning the y-intercept of the line is 2.

Explanation:

The given equation in this question is in the standard form of a linear equation which can be represented in slope-intercept form of y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we'll want to set x equal to 0 and solve for y.

So in this equation of 2x + 3y = 6, we'll set x to 0. That leaves us with 3y = 6. Solve for y by dividing by 3 on both sides. This gives us y = 2, which is the y-intercept.

Learn more about y-intercept here:

brainly.com/question/34923499

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If the hikers want to share the fruit evenly , how many Leicester should each person receive?

Answers

an even amount each 
EXAMLEE;there are 4 potatoes and 2 people they want to split it evenly so 4potatoes/2people
4 divided by 2
they both get 2 potatoes.
stupid example but hope it helps

a helicopter is hovering above a road at an altitude of 24 m. At a certain time, distance between the helicopter and a car on the road is 45.0 m. Calculate the angle of elevation of the helicopter from the car

Answers

arcsin(8/15), since the sine is 24m/45m=8/15.

Answer:

arcsin(8/15), since the sine is 24m/45m=8/15. so the answer is 8/15

Step-by-step explanation:

hope this helps ;)

Which number is a factor of 100?
08

Answers

It’s only one number listed
The answer should be 5,10,2
Hope this helps

The Pool Fun Company has learned​ that, by pricing a newly released Fun Noodle at $4, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $5 will cause the sales to fall to 6000 Fun Noodles per day. Assume that the relationship between sales​ price, x, and number of Fun Noodles​ sold, ​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (sales price, number​ sold).

type your answer in slope intercept
b. predict the daily sales of Fun Noodles if the price is $4.50​

Answers

Answer: PART A:

The generic equation of the line is:

y-yo = m (x-xo)

First we look for the slope of the line:

m = (y2-y1) / (x2-x1)

m = ((5000) - (6000)) / (4-3)

m = -1000

Then, we substitute any point in the generic equation:

(xo, yo) = (4, 5000)

Substituting:

y-5000 = (- 1000) (x-4)

Rewriting:

y = -1000x + 4000 + 5000

y = -1000x + 9000

The equation is:

y = -1000x + 9000

PART B:

For the price of 3.50 we have:

y = -1000 * (3.5) +9000

y = 5500

Step-by-step explanation:
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