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
nalin [4]
3 years ago
13

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collectio

n is eleven less than five times John’s collection, and three times Jonathan’s collection is three less than seven times John’s collection.
What is the number of postage stamps in John’s collection?
Mathematics
2 answers:
kati45 [8]3 years ago
7 0
Let d = number of stamps from John (4 letters, d is 4th letter, etc) 
<span>Let e = number of stamps from Johan </span>
<span>Let h = number of stamps from Jonathan </span>

<span>Johan and Jonathan have the same number of stamps, so: </span>

<span>e = h </span>

<span>2 times Johan's collection is 11 less than 5 times John's collection, so: </span>

<span>2e = 5d - 11 </span>

<span>3 times Jonathan's collection is 3 less than 7 times John's collection,so: </span>

<span>3h = 7d - 3 </span>

<span>Now we have three equations and three unknowns. You're asked for the number of stamps in John's collection, so you want the value to variable "d". </span>

<span>Since e = h, we can substitute "h" for "e" in the second equation. </span>

<span>2h = 5d - 11 </span>
<span>3h = 7d - 3 </span>

<span>now we have two equations and two unknowns. I'll use elimination, starting with multiplying the first equation by -3 and the second one by 2. </span>

<span>-6h = -15d + 33 </span>
<span>6h = 14d - 6 </span>

<span>now add both together and you have an equation with one unknown remaining: </span>

<span>0 = -d + 27 </span>
<span>d = 27 </span>

<span>So your answer is 27 stamps. If you want to know how many stamps the others have, you can work back and solve for e and h.</span>
Degger [83]3 years ago
5 0
X = john, y = johan, z = jonathan

y = z
2y = 5x - 11....y = 5/2x - 11/2
3z = 7x - 3...z = 7/3x - 1

5/2x - 11/2 = 7/3x - 1..multiply by 6 to get rid of fractions
15x - 33 = 14x - 6
15x - 14x = -6 + 33
x = 27...so John (x) has 27 stamps in his collection

You might be interested in
I keep getting kicked off of Brainly when other tutors go to try and answer this question.
Ilya [14]

Answer

(C) 15

Explanation

The given equation that represents the number of bags of sand (x) and bags of mulch (y) that can be bought with $105 is

3x+7y=105

If no bags of sand are bought, therefore x = 0

Then the number of bags of mulch that can be bought with $105 will be

\begin{gathered} 3(0)+7y=105 \\  \\ 0+7y=105 \\  \\ 7y=105 \\  \\ y=\frac{105}{7} \\  \\ y=15 \end{gathered}

8 0
1 year ago
Multiply. <br> Answer as a fraction. Do not include spaces in your answer<br><br> 5 1/6•(-2/5) =???
Ne4ueva [31]

Answer:

2 1/15

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well to multiply,

5 1/6 • -2/5,

we need to make 5 1/6 improper

\frac{31}{6} * -\frac{2}{5}

31 * 2 = 62

6 * 5 = 30

-\frac{62}{30}

Simplified,

\frac{31}{15} \\Proper\\2 \frac{1}{15}

2 1/15

<em>Hope this helps :)</em>

3 0
3 years ago
What is the product (x4)(3x3-2)(4x
Monica [59]

Answer:

12x⁹ + 15x⁸ - 8x⁶ - 10x⁵

Step-by-step explanation:

<u>This is incomplete and should be:  </u>

  • x⁴ • (3x³ - 2) • (4x² + 5x)

<u>Solution with steps</u>:

  • x⁴ • (3x³ - 2) • (4x² + 5x) =
  • x⁵• (3x³ - 2) • (4x + 5) =
  • x⁵• (12x⁴ + 15x³  - 8x - 10) =
  • 12x⁹ + 15x⁸ - 8x⁶ - 10x⁵
7 0
3 years ago
How many outfits could you make if you had 6 pants,7 shirts,and 4 pairs of shoes to choose from?
hammer [34]

Answer:

D

Step-by-step explanation:

6x7x4= 168

6 0
2 years ago
Jason and Jared have a lawn-mowing service. They charge $20 per hour. One lawn was 150 ft. by 100 ft. and it took 11⁄2 hours to
rusak2 [61]

Answer:110$

Step-by-step explanation: well 11/2 hours equals 19800 seconds and 19800 seconds equals 5 hours and a half so 20 x 5 equals 100 and ya so and half 20 is 10 so 110$

3 0
3 years ago
Read 2 more answers
Other questions:
  • Is 3/5 proportional
    14·1 answer
  • How are 0.5 and 0.05 and 0.0005 related
    13·1 answer
  • Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants
    5·2 answers
  • 33 cm<br> 15 cm<br> 15 cm<br> Total surface area
    9·1 answer
  • Find The value of each variable
    11·1 answer
  • Help answer 7, 8 and 9 for brainlst
    10·1 answer
  • Answer the questions below about Line 1 and Line 2 shown below.
    13·2 answers
  • Please please help help me please ASAP ASAP please ASAP thank you!!!!
    14·1 answer
  • What is the volume of the box?
    7·1 answer
  • * GEOMETRY <br><br> please help me show the work for 9, 10, and 11!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!