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Bumek [7]
2 years ago
7

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

-5

Step-by-step explanation:

You might be interested in
One positive number exceeds another by 7​, and their product is 78. Find the numbers.
Alona [7]

Answer:

13 and 6

Step-by-step explanation:

  • 13 • 6 = 78
  • 13 – 6 = 7

3 0
3 years ago
Find the measure of angle x in the figure below<br><br>A.35°<br>B.47°<br>C.51°<br>D.62°
Dafna11 [192]
First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180<span>°.

\sf 61\textdegree +57\textdegree+y=180\textdegree

Simplify:

\sf 118\textdegree +y=180\textdegree

Subtract 118° to both sides:

\sf y=62\textdegree

We also know that all three angles of a triangle add up to 180<span>°. So we have:

\sf 67\textdegree+62\textdegree +x=180\textdegree

Simplify:

\sf 129\textdegree +x=180\textdegree

Subtract 129° to both sides:

\sf x=\boxed{\sf 51\textdegree}
</span></span>
5 0
3 years ago
Read 2 more answers
(-1) + (-7) answer with work shown
lesya [120]
Answer is -8

(-1)+(-7) turns into (1)+(7)=8 and then back to original which will be -8
4 0
3 years ago
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
Help Please I'm Out Of Time ;(
trasher [3.6K]

Answer:

Total area = 31.5 unit²

Step-by-step explanation:

Assume 1 block = 1 unit²

Divide diagram into 3 part

1. 5 by 5 block square

2. 2 by 2 block triangle(1)

2. 3 by 3 block triangle(2)

Area of square = side × side

Area of square = 5 × 5

Area of square = 25 unit²

Area of triangle(1) = [1/2][base][height]

Area of triangle(1) = [1/2][2][2]

Area of triangle(1) = 2 unit²

Area of triangle(2) = [1/2][base][height]

Area of triangle(2) = [1/2][3][3]

Area of triangle(2) = 4.5 unit²

Total area = Area of square + Area of triangle(1) +Area of triangle(2)

Total area = 25 unit² + 2 unit² + 4.5 unit²

Total area = 31.5 unit²

6 0
3 years ago
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