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tangare [24]
2 years ago
13

1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....

Mathematics
2 answers:
zhenek [66]2 years ago
6 0

Answer:

225 is the answer

Step-by-step explanation:

hope this help

Ymorist [56]2 years ago
4 0

Answer:

\boxed{225}

.

Step-by-step explanation:

Arithmetic sequence

Un = a + (n - 1)b

.

First step, find its difference

b = U_2 - U_1

b = 6 - 3

b = 3

.

So, we get

a = 3

b = 3

.

Finally, Let's find the 75th term

U_{75} = 3 + (75 - 1)3

U_{75} = 3 + (74)3

U_{75} = 3 + 222

U_{75} = 225

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Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?
dangina [55]

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

7 0
2 years ago
Lliana rotated trapezoid WXYZ 180° about the origin.
AfilCa [17]

Answer:

The answer to the equation is W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

Because its turning 180 degrees that means its turning half the way it is. and if you look on the graph the z is Z (0, 2). which if you flip it upside down it would be (0,-2)

Also i took the test!  :)

6 0
3 years ago
Read 2 more answers
The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is
nexus9112 [7]
Calculating the other leg:
other leg^2 = 13^2 - 5^2
other leg^2 = 169 -25
other leg^2 = 144
other leg = 12

Area = .5 * 12 *5
Area = 30 sq feet
answer is A


6 0
2 years ago
Can someone please help me with part B?
Ira Lisetskai [31]
Y = - 20x + 100

Slope is -20, y-intercept is 100.
4 0
2 years ago
Why is student A correct?
ASHA 777 [7]

Answer:

area=1/2bh

150=1/2×20×h

150=10h

150÷10

h=15

4 0
3 years ago
Read 2 more answers
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