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
FinnZ [79.3K]
3 years ago
7

#5 Antonio and Abby had the same nimber of paperclips. After Antonio gave 30 paperclips to Abby, Abby had twice as many papercli

ps as Antonio. How many paperclips did they have in all?
#6 Emily and Jasmine had the same number of stamps. After Emily gave 42 stamps to Jasmine, Jasmine had twice as many stamps as Emily. How many stamps did Jasmine have in the end?

#7 Elena had 60 colored pencils. Lucy had 26 colored pencils. How many pencils must Elena give to Lucy so that Elena will have 4 more colored pencils than Lucy?

Show how you answered please
Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

#5: 180 paperclips in total.

#6: 126 stamps in total.

#7: Elena should give Lucy 15 colored pencils.

Step-by-step explanation:

This explanation solves each question by setting a single unknown, x.

<h3>#5</h3>

Let x the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.

Initially:

  • Antonio: x paperclips;
  • Abby: x paperclips.

Antonio gives 30 paperclips to Abby. After that,

  • Antonio: (x - 30) paperclips;
  • Abby: x + 30 paperclips.

Abby now possess twice as many paperclips as Antonio does. In other words,

2(x - 30) = x + 30.

By the distributive property:

2x - 60 = x + 30.

Substract x - 60 from both sides

x = 30 - (-60) = 90.

Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.

<h3>#6</h3>

Similarly, let x be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.

Initially:

  • Emily: x stamps;
  • Jasmine: x stamps.

After Emily gives 42 stamps to Jasmine:

  • Emily: x-42 stamps;
  • Jasmine: x+42 stamps.

Jasmine now possesses twice as many stamps as Emily does. In other words,

2(x-42) = x+42.

x = 42 + 2\times 42 = 126.

Jasmine used to possess 126 stamps. Now she possesses 126 + 42 = 168 stamps after receiving 42 stamps from Emily.

<h3>#7</h3>

Let the number of pencils that Elena needs to give to Lucy be x.

Initially:

  • Elena: 60 pencils;
  • Lucy: 26 pencils.

After Elena gives x pencils to Lucy:

  • Elena: 60 - x pencils;
  • Lucy: 26 + x pencils.

Elena should now possess four more pencils than Lucy does. In other words,

\underbrace{60 - x}_{\text{Elena's}} = \underbrace{(26 + x)}_{\text{Lucy's}} +4.

2x = 30.

x = 15.

You might be interested in
Write the equation of the graph in slope-intercept form
Ede4ka [16]
Y=-3x+4
slope is -6/2=-3
y-intercept 4
3 0
3 years ago
Read 2 more answers
A rectangle has an are of 36in squared. write an equation to show how length varies inversely the width. what is the equation li
Tju [1.3M]
L*W= 36
Rewrite to get:
l = 36 / w or w = 36 / l
Either one show =s the inverse relationship between w and l
Equation for x and y graph:
y = 36 / x


5 0
3 years ago
#26 need help please
erma4kov [3.2K]
They will have to buy all three items again in 9 years
6 0
3 years ago
A student was asked to use the formula for the perimeter of a rectangle, p = 2l 2w, to solve for l. the student came up with an
timofeeve [1]
<span>A student was asked to use the formula for the perimeter of a rectangle, p = 2l 2w, to solve for l. the student came up with an answer, p -2w=2l. what</span>
6 0
3 years ago
Please help me if possible
ss7ja [257]

Answer: 8 cm

Step-by-step explanation:

To do this, we just need to divide 256 by each of the numbers.

First let’s divide 256 by 8

256/8=32

Then divide 32 by 4

32/4 = 8.

Therefore your answer is 8 cm.

3 0
3 years ago
Other questions:
  • Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what mont
    12·2 answers
  • Two more than the quotient of a number and eight is equal to 10
    8·1 answer
  • A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container
    8·2 answers
  • In Science class, Mrs. Olson had 30.6 pounds of metamorphic rock. Mrs. Olson had to divide the rocks into 9 different containers
    6·2 answers
  • Which variable in the following equation represents the slope of the line? y=mx+b ​
    10·2 answers
  • Shape B is 2 times the size of Shape A. Which is the perimeter of Shape B? (1 point)
    15·1 answer
  • Help ASAP. Like right now
    9·1 answer
  • Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the
    15·2 answers
  • If /_\CAT ~= /_\LUV then /_\c ~=/_\L. True or False?
    12·1 answer
  • 27 devided by 1234 chunking method
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!