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ddd [48]
3 years ago
13

Meredith was paid $18 for recycling 30 pounds glass. What is this rate payment

Mathematics
1 answer:
hammer [34]3 years ago
3 0

$1.67 for each pound of glass

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Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40
Dominik [7]

Amanda's method is linear because the number of minutes increased by an equal number every week.

7 0
2 years ago
The temperature in minneapolis changed from -7 degrees at 6 am to 7 degrees Fahrenheit at noon. How much did the temperature inc
kotegsom [21]
It increased 14 degrees Fahrenheit
5 0
2 years ago
Find an equation for the nth term of the arithmetic sequence.
Irina18 [472]

Answer:

The equation of the nth term is an = -621 + 42n

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

  between each two consecutive terms

, n is the position of the term

* Lets solve the problem

∵ an = a + (n - 1)d

∴ a14 = a + (14 - 1)d

∴ a14 = a + 13d

∵ a14 = -33

∴ a + 13d = -33 ⇒ (1)

- Similar we can find another equation from a15

∵ a15 = a + (15 - 1)d

∴ a15 = a + 14d

∵ a15 = 9

∴ a + 14d = 9 ⇒ (2)

- We will solve equations (1) and (2) to find a and d

* Lets subtract equation (2) from equation (1)

∴ (a - a) + (13 - 14)d = (-33 - 9)

∴ -d = -42 ⇒ × both sides by -1

∴ d = 42

- Substitute this value of d in equation (1) or (2)

∵ a + 13d = -33

∵ d = 42

∴ a + 13(42) = -33

∴ a + 546 = -33 ⇒ subtract 546 from both sides

∴ a = -579

* Now lets write the equation of the nth term

∵ an = a + (n - 1)d

∵ a = -579 and d = 42

∴ an = -579 + (n - 1) 42 ⇒ open the bracket

∴ an = -579 + 42n - 42

∴ an = -621 + 42n

* The equation of the nth term is an = -621 + 42n

6 0
2 years ago
Calculate 177537+87439-19673​
nadezda [96]

Answer:

See below.

Step-by-step explanation:

Following order of operations:

177537+87439=264976

264976-19673=245303

So, 177537+87439-19673​ is equal to 245303.

-hope it helps

8 0
2 years ago
You need 20 pounds of grass seed to plant grass inside the baseball diamond below. About how many pounds of grass seed
taurus [48]

Answer:

13 pounds of grass.

Step-by-step explanation:

You need 20 pounds of grass seed to plant inside the baseball diamond.

The Baseball Diamond is a square of side = 90 ft

The Softball Diamond is a square of side = 60 ft

The ratio of the size of the Baseball Diamond to that of Softball Diamond is:

90: 60 = 3:2

If 3 represents 20 pounds, then 2 represents;

\frac{2}{3} × 20 = 13.33333333 pounds = 13 pounds (rounded to nearest pound)

6 0
3 years ago
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