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
GrogVix [38]
3 years ago
8

If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

You're looking for a number <em>w</em> such that the numbers

{1 + <em>w</em>, 7 + <em>w</em>, 15 + <em>w</em>}

form a geometric sequence, which in turn means there is a constant <em>r</em> for which

7 + <em>w</em> = <em>r</em> (1 + <em>w</em>)

15 + <em>w</em> = <em>r</em> (7 + <em>w</em>)

Solving for <em>r</em>, we get

<em>r</em> = (7 + <em>w</em>) / (1 + <em>w</em>) = (15 + <em>w</em>) / (7 + <em>w</em>)

Solve this for <em>w</em> :

(7 + <em>w</em>)² = (15 + <em>w</em>) (1 + <em>w</em>)

49 + 14<em>w</em> + <em>w</em> ² = 15 + 16<em>w</em> + <em>w</em> ²

2<em>w</em> = 34

<em>w</em> = 17

Then the three terms in the sequence are

{18, 24, 32}

and indeed we have 24/18 = 4/3 and 32/24 = 4/3.

You might be interested in
Find the equation of the line that has a slope of 14 and passes through the point (-3,12).
Roman55 [17]

Answer:

The answer is b=54

Step-by-step explanation:

y=mx+b

12=14(-3)+b

12=-42+b

54=b

hope that helps

8 0
3 years ago
A farmer ploughts his lands in 12 days if he use 5 tractors ow long will it if he uses 3 tractors?​
saul85 [17]

Answer:

Step-by-step explanation:

By proportion it will be (5/3) * 12

= 60/3

= 20 days.

4 0
2 years ago
Read 2 more answers
Quinn is determining the area of a trapezoid. His work is shown below.
SOVA2 [1]

Answer:

A = a + b / 2 x h

Step-by-step explanation:

Area is equal to side one plus side two divided by two then you multiply by the height of the trapezoid. Hope this helps!

8 0
3 years ago
Read 2 more answers
At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p
ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

  • If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
  • If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
  • If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
  • If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
  • If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
  • If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
  • If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127  ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0
3 years ago
PLZ HELP NO ONE HAS BEEN ABLE TO HELP ME
madam [21]

6 - 2(x - y) = 3x + 5 \\ 6 - 2x + 2y = 3x + 5  \\6 - 5 = 3x + 2x - 2y \\  1 = 5x - 2y \\ 5x - 2y = 1
So; the answer is: A. 5x-2y=1
7 0
3 years ago
Other questions:
  • Geometry help will give brainliest answer the blank ones
    11·1 answer
  • Solve the equation for x, x-3= -x+5
    6·2 answers
  • Mr. Bryant is trying to figure out which class project to work on for community service. He surveyed the junior and senior stude
    6·1 answer
  • What is 4/7 times 2/3
    15·1 answer
  • The least common denominator of 3/2 and 2/3 is
    10·2 answers
  • Three pounds of dried cherries cost $15.90, 5 pounds of dried cherries cost $26.50, and 9 pounds of dried cherries cost $47.70.
    11·1 answer
  • What is the total cost of a $12.50 item plus 6% sales tax?
    5·2 answers
  • 15. A bag contains 8 blue chips, 7 green chips, and 2 white chips. If three chips are drawn
    5·1 answer
  • I’ll give you brainliest, please help!
    7·1 answer
  • 2.5. For his homework Thulani defined a factor as: "Factors of a number are formed when the number is multiplied by 1; 2; 3; 4".
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!