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Ksivusya [100]
3 years ago
11

6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 ora

nge.
Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.

Step-by-step explanation:

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Cory earns $20 for every lawn he mows and $9 for every hedge he trims. He uses the expression 20x + 9y to keep track of his earn
34kurt
<h2>a. 20 & 9 are the coefficients and x & y are the variables of the expression.</h2><h2>b. There are 2 terms in the expression they are 20x & 9y the reason why is  because the two terms are separated by addition</h2><h2>c. The term that shows the total of every hedge that was trimmed is 9y </h2><h2 />
3 0
3 years ago
Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
Last month,Margo bought a tree that grows 2.5cm each day.It was 5cm tall when she bought it and now it 65cm tall. Write a equati
Effectus [21]

Answer:

The equation to determine the number of days Margo has owned the plant is 5+2.5x=65.

Step-by-step explanation:

Given:

Actual length of the tree = 5 cm

Current length of the tree = 65 cm

Per day growth Rate of plant = 2.5 cm

Let number of days she owned the plant be 'x'

Now We can say that,

Current length of the tree is equal to sum of Actual length of the tree and Per day growth Rate of plant multiplied by number of days she owned the plant.

Farming the above sentence in equation form we get;

5+2.5x=65

Hence the equation to determine the number of days Margo has owned the plant is 5+2.5x=65.

4 0
3 years ago
Each morning Kol rides 500m on an exercise bike. How many kilometers does he ride in one week?
fredd [130]

Answer:

3.5 km

Step-by-step explanation:

We know that 1000 meters = 1 kilometer

500 meters * 1 kilometer/1000m = 500/1000 kilometer = .5 km

He goes .5 km per day

There are 7 days in 1 week, so multiply by 7

7 * .5 km = 3.5 km

8 0
3 years ago
Kathy recorded the following measurements of length: 2.5 cm.
IRISSAK [1]

Answer:

2.8

Step-by-step explanation:

To find the mean add all the values and divide by the amount of values and when you add everything up it is 14 and dividr by 5 to get 2.8

5 0
3 years ago
Read 2 more answers
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