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
Reika [66]
3 years ago
15

Plzz anyone solve all answers plzzzzzzzz​

Mathematics
1 answer:
algol133 years ago
4 0

You posted a lot of problems here. In the future please only post one problem at a time. Thank you.

I'll do the first two problems to get you started. Hopefully it will help you finish off the rest of the questions.

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

Problem 1

{18, a, b, -3} is an arithmetic sequence or arithmetic progression (AP).

This means we have some number d added on to each term to get the next term.

first term = 18

second term = first term + d = 18+d = a

third term = second term + d = (18+d)+d = 18+2d = b

fourth term = third term + d = (18+2d)+d = 18+3d = -3

----

Let's solve that last equation for d

18+3d = -3

18+3d-18 = -3-18

3d = -21

3d/3 = -21/3

d = -7

----

The value d = -7 tells us to add -7 to each term to get the next term. In other words, we subtract 7 from each term to get the next term

first term = 18

second term = first term + d = 18+d = 18+(-7) = 18-7 = 11

third term = second term + d = 11+d = 11+(-7) = 11-7 = 4

fourth term = third term + d = 4+d = 4+(-7) = 4-7 = -3

----

We see that a = 11 and b = 4 are the second and third terms respectively.

Therefore, a+b = 11+4 = 15

-------------

<h3>Answer: 15</h3>

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

Problem 2

A multiple of 4 is in the form 4*n for some integer n, ie n is a whole number.

We want to know which values of 4*n are between 10 and 250.

----

Divide both 10 and 250 by 4 to get the following

10/4 = 2.5

250/4 = 62.5

If n = 2, then 4*n = 4*2 = 8 is not between 10 and 250; however n = 3 will make 4*n = 4*3 = 12 to be between 10 and 250. We see that n = 3 is the smallest possible allowed value.

If n = 62, then 4*n = 4*62 = 248 is between 10 and 250; while n = 63 will make 4*n too big because 4*63 = 252. The largest n can get is n = 62

----

The question posed in question 2 is equivalent to asking the following: "How many values are in the set {3, 4, 5, ..., 60, 61, 62}?"

You could count all of the values in the set, but that exercise is very tedious busywork. There's a much faster way. First lets consider the set below

{a, a+1, a+2, ..., b-2, b-1, b}

where a,b are integers. Basically this set starts at 'a', counts up until we get to 'b'. The handy formula

c = b-a+1

will provide the exact count of values in the set {a, a+1, a+2, ..., b-2, b-1, b}

----

In this case, a = 3 and b = 62, making

c = b-a+1

c = 62-3+1

c = 60

There are 60 values in the set {3, 4, 5, ..., 60, 61, 62}

There are 60 multiples of four that are between 10 and 250.

-------------

<h3>Answer: 60</h3>
You might be interested in
8 + 3 (71 – 51) <br>Solve it's for a test!!!​
bogdanovich [222]

Answer:

68

Step-by-step explanation:

8 + 3 (71 – 51)

71-51= 20

20*3=60

60+8=68

7 0
3 years ago
A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,
sergeinik [125]

Answer:

The total budget is $1260

Step-by-step explanation:

Given

Props = \$693

Costumes = 45\%

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

\%Props + \%Costumes = 100\%

\%Props + 45\%= 100\%

\%Props= 100\% -45\%

\%Props= 55\%

In other words, 55% was spent on Props

Let the total budget be x, we have:

55\% * x = \$693

Make x the subject

x = \$693/55\%

x = \$1260

Hence, the total budget is $1260

5 0
2 years ago
Evaluate ㏒ b 1, b &gt; 0.
IrinaVladis [17]

Answer:

The solution is 1.

Step-by-step explanation:

Logarithm:

Suppose we have a logarithmic equation in the following format:

\log_{a} b = c

It means that:

a_c = b

In this question:

\log_{b} 1 = x

Which means that:

b^x = 1

Every number, elevated to 0, is 1. So

b^0 = 1

Which means that the solution is x = 1

7 0
3 years ago
How is the graph of the parent function y = x squared transformed to produce the graph of y = 3 (x + 1) squared?
Sveta_85 [38]

Answer:

D.

Step-by-step explanation:

6 0
2 years ago
What's 375 divided by fifteen
snow_lady [41]
25 is the answer to your question
7 0
3 years ago
Read 2 more answers
Other questions:
  • The cost to ride a ferris wheel is $2.00 per person. The ferris wheel has a capacity of 64 people. The amount of money collected
    12·1 answer
  • Amy has $30 to spend on snacks and beverages for herself and her friends at the movie theater. The cost for nachos was $5. The c
    9·1 answer
  • There are 250 vehicle's at the dealership and 75 of them are SUV's. What percent of the vehicle's are SUV's?
    8·2 answers
  • If a = 4 and b = 5, what is the value of the following expression? 6a + 3b - 8
    14·1 answer
  • How do you solve this equation on surds?
    10·1 answer
  • What is the product of 9/14 and 7/15<br><br>A. 1/10 <br><br>B. 3/10<br><br>C. 16/29<br><br>D. 8/105​
    13·2 answers
  • X -3,4,11,18 y -3,1,5,9
    15·1 answer
  • Identify binomials from the following expressions :<br><br> 12p + q, 13m - n + r, 15xyz, x + y - 6z
    10·2 answers
  • Find the time difference between 6:40 am and 10:05 am
    12·1 answer
  • All I need is the answer and that’s all you have to give me thank you
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!