1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
2 years ago
12

the fifth term of an arithmetic progression is 40 and the seventh term is 28 more than the 3rd term. Find the first and 10th ter

m.​
Mathematics
1 answer:
wel2 years ago
3 0

Answer:

Step-by-step explanation:

t5 = a + (5-1)d

t5 = a + 4d

40 = a + 4d

t3 = a + 2*d

t7 = a + 2d + 28 = a + 6d

Start with the seventh term which has 2 equal answers

a + 2d + 28 = a + 6d                    Subtract a from both sides

2d + 28 = 6d                                Subtract 2d from both sides

28 = 4d                                         Divide by 4

28/4 = d

d  = 7

==================

t5 = a + 4d = 40

a + 4*7 = 40

a = 40 - 28

a = 12

===================

First term is 12

10th term is

t10 = 12 + (10 - 1)*7

t10 = 12 + 9*7

t10 = 75

Interesting question. Thanks for posting

You might be interested in
0.96% as a fraction in simplest form.<br> help needed
Mariulka [41]

Answer:

24/25

Step-by-step explanation:

0.96%

96/100

24/25

8 0
3 years ago
What is the next term of the arithmetic sequence 10,13,16
svet-max [94.6K]

Answer:

The next term should be 19

Step-by-step explanation:

Each time you add 3, from 10 to 13, and 13 to 16

The next number would be 19 because 16 + 3 = 19

3 0
3 years ago
Which best describes the incenter of a triangle?
Sergeeva-Olga [200]

Answer:

D. it is the point where the three angle bisectors of the triangle intersect.

Step-by-step explanation:

Because in geometry the incenter of a triangle is deliberated as the center of a triangle.

3 0
3 years ago
Leena loves peanut butter. today, she ate four tablespoons of it. if there are 6 mg of vitamin e in four tablespoons of peanut b
velikii [3]
<span>First, we need to know that the current recommended daily allowance of Vitamin E is 15 milligrams. If Leena ate four tablespoons of peanut butter, thus receiving only 6 milligrams, then we can determine the percentage by first dividing 100 into 15 parts (which gives us 6.66), and then multiply that answer by 6 (6 x 6.66), which gives us precisely 40. Thus, the answer is 40 percent.</span>
5 0
2 years ago
A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t
neonofarm [45]
To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.



7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help 56 points or more good answer gets branliest
    8·1 answer
  • Aiden makes 12 bracelets on Monday. He makes 8 more bracelets each day from Tuesday through Thursday. How many bracelets does ai
    13·2 answers
  • Solve the inequality. 4(x – 3) – 2x ≥ 5 – (x + 2)
    15·2 answers
  • Can someone help with this question? $32,000;7%decrease
    9·1 answer
  • How do you solve 3 = x + 3 + 6x?
    6·2 answers
  • Help please? I can’t figure out how to find the value of each trig ratio.
    5·1 answer
  • Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
    15·2 answers
  • Estimate the quotient using compatible numbers.<br><br> 3,512 ÷ 9<br><br> 30<br> 400<br> 300<br> 40
    8·1 answer
  • PLSPLSPLSPLSPLSPLSPLSPLS
    7·1 answer
  • Work out the perimeter of the shaded shape.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!