At a scrapbooking party, guests brought a certain number of photographs to use, based on
how many pages they will be assembling. Ellie plans to assemble 4 small pages and 7 large
pages and brought a total of 22 photographs to use. Bridgette brought 30 photographs,
which is enough to assemble 8 small pages and 7 large pages. Assuming that the number of
photographs on a page remains constant, how many photographs fit on a small page and a
large page?
A small page can fit
photographs, and a large one can fit
photographs.

Answers

Answer 1

Answer:

A small page can fit 2 photographs, and a large on can fit 2 photographs.

Step-by-step explanation:

Let the number of photographs on the small page be represented by m and that of large one by n.

Since the number of photographs on a page remains constant, then;

4m + 7n = 22 ........... 1

8m + 7n = 30 .......... 2

Multiply equation 1 by 2, and 2 by 1 to have;

8m + 14n = 44 ....... 3

8m + 7n = 30 ......... 4

subtract equation 4 from 3,

7n = 14

n = 2

Substitute the value of n in equation 1

4m + 7(2) = 22

4m + 14 = 22

4m = 8

m = 2

m = 2, n = 2

Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.


Related Questions

A new car is purchased for 21100 dollars. The value of the car depreciates at
10.5% per year. What will the value of the car be, to the nearest cent, after 6
years?

Answers

The car will be worth $7807

Answer:

10,844.78

Step-by-step explanation:

Jayden and Carson are selling T-shirts and sweatshirts with the school logo. Jayden sells 9
T-shirts and 3 sweatshirts for $288. Carson sells 1 T-shirt and
6 sweatshirts for $270. Find the selling prices of each item,
1. Write a system of equations to represent the situation.
2. Solve the system of equations.
Part A
Use elimination or substitution to solve. Show your work.
Part B
Which method of solving did you choose? Explain your reasoning,

Answers

Answer:

They are ripping off their customers, $270 for 6 tops?

Step-by-step explanation:

I'm sorry, I just had to say that. these qhestions were in SATs tests and not I've forgotten how to do them, I'm sorry for bringing your hopes up

the value of the expression x² - 2 ( x + 5 ) when x = 10.

Answers

Answer:

70

Step-by-step explanation:

10 2 - 2(10+5) = 100 - 2(10+5)=15

100 - 2 x 15 = 100 - 30

=70

What is the area of the trapezoid?
5 cm
14 cm
5 cm
10 cm

Answers

Answer:

A = 28 cm

Step-by-step explanation:

equation:

A = [tex]\frac{a + b}{2} h[/tex]

A = [tex]\frac{4 + 10}{2} 4[/tex]

solve:

A = [tex]\frac{14}{2}4[/tex]

A = 7 x 4

A = 28 cm

Someone please help me on this problem.. :(

Answers

Answer:

I believe the constant rate is 13

Step-by-step explanation:

I believe this because for each time you divided y/x you will get 13. But in the last one (146/12) it will be 12.16...  So it will show a constant rate if you round the answer of (146/12) but if you aren't supposed to round then there wont be a constant.

Hope  this helps! :)

GIVeawAy
if u answer my last question ill do more giveaways

Answers

Answer:

Okay. I'll check it out. Can you help me with my last question

too?

Answer:

TY

Step-by-step explanation:

The temperature in Mansfield, Ohio was -3 degrees in the afternoon. After the sun went down, the temperature dropped 6 degrees. What was the temperature after the sun went down? *


GET right i give brainly

Answers

-9
Because if you have negative three and it drops 6 then it becomes negative 9

A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?

Answers

Answer:

a) 83.099% of the club members had watched Naruto or Death Note.

b) 15.493% of the club members had watched only Naruto

c) 33.803% of the club members had watched only Death Note.

Step-by-step explanation:

First we find the number of students which each habit, treating the habits as Venn sets.

I am going to say that:

Set A: Watched an episode of Naruto.

Set B: Watched an episode of Death Note.

24 had watched both an episode of Naruto and an episode of Death Note:

This means that [tex](A \cap B) = 24[/tex]

48 had watched an episode of Death Note

This means that [tex]B = 48[/tex].

We have that:

[tex]B = (B-A) + (A \cap B)[/tex]

In which B - A are those who watched only Death Note. So

[tex]48 = (B-A) + 24[/tex]

[tex](B-A) = 24[/tex]

35 members had watched an episode of Naruto

This means that [tex]A = 35[/tex].

[tex]A = (A-B) + (A \cap B)[/tex]

[tex]35 = (A-B) + 24[/tex]

[tex](A-B) = 11[/tex]

At least one:

This is

[tex](A \cup B) = A + B - (A \cap B)[/tex]

So

[tex](A \cup B) = 35 + 48 - 24[/tex]

[tex](A \cup B) = 59[/tex]

Total number of students:

59 at least one, 12 none, so 71 total.

(a) What percent of the club members had watched Naruto or Death Note?

At least one, so 59 out of 71

59*100/71 = 83.099

83.099% of the club members had watched Naruto or Death Note.

(b) What percent of the club members had watched only Naruto?

11 out of 71. So

11*100/71 = 15.493

15.493% of the club members had watched only Naruto.

(c) What percent of the club members had watched only Death Note?

24 out of 71. So

24*100/71 = 33.803

33.803% of the club members had watched only Death Note.

Answer:

i think it is (b) What percent of the club members had watched only Naruto?

Step-by-step explanation:

Find the area of the trapezoid.
40 mm
24 mm
19 mm
A=
mm2

Answers

Answer:

A = 708 mm^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]

The sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%

Answers

28%
Surztisitstoxgztuatisiyxiysits

Construct a circle through points X, Y and Z.

Answers

pretty sure you just draw a circle
just draw a circle running through those points i think

The purpose of statistical inference is to provide information about the

Answers

Answer:

Statistical inference consists in the use of statistics to draw conclusions about some unknown aspect of a population based on a random sample from that population. ... The goal of hypothesis testing is to decide which of two complementary statements about a population is true.

hope it's help

#carryONlearning
i would have been a little flame

Please quick! I need it by now.

Answers

Answer:

Yes

Step-by-step explanation:

What we know:

The watch has a 90-day warranty.

A week has 7 days.

6 weeks have 42 days.

To solve:

90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.

Note:

Hope it helps!

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer: 1672

explanation:              add 3% from each previous year to get to the 6th year            

Answer:

16717

Step-by-step explanation:

The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn

Answers

Answer:

$245

Step-by-step explanation:

Answer: $245

Step-by-step explanation:

$35 / 1/2=x / 3 1/2

Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.

35*2=x / 3*2+1/2

Multiply 35 and 2 to get 70.

70=x / 3*2+1/2

Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.

70=x*2/3*2+1

Multiply 3 and 2 to get 6.

70=x*2/6+1

Add 6 and 1 to get 7.

70=x*2/7

Swap sides so that all variable terms are on the left-hand side.

x*2/7=70

Multiply both sides by 7.

x*2=70*7

Multiply 70 and 7 to get 490.

x*2=490

Divide both sides by 2.

x=490/2

Divide 490 by 2 to get 245.

x=245

What is the Voter Registration Act and how does it affect Gerrymandering?

Answers

Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

Please I need help it’s an emergency

Answers

Answer:

θ = 35.39°

Step-by-step explanation:

Given that,

Perpendicular, P = 27

Base, B = 38

We need to find the value of angle. Let the angle be θ. So,

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]

So, the required angle is 35.39°.

A square has vertices at the points A(-4,-4), B(-5,-4), C(-5,-3), and D(-4,-3). What is the area of this square? A. 1 square unit B. 4 square units C. 9 square units D. 2 square units

Answers

Answer:

Step-by-step explanation:

The length of AB = 1 unit.

area of square = 1² unit² = 1 square unit.

Answer:it is 1

Step-by-step explanation:

Find the slope of the line that passes through the two points. (0, 0), (3, 2)

Answers

Answer:

the slope is 2/3 bcoz u do 2-0/3-0

(will mark brainliest!!)

Answers

Answer:

the one with Heidy is the 3 one

the 6th one is E

Step-by-step explanation:

Write the slope-intercept form of the equation of each line 4x-3y=6'

Answers

Answer:

Step-by-step explanation:

-3y=-4x+6

divide by -3

y=4/3x-2

You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?

Answers

$26.36 (find out what 20% of 32.95 is then subtract it from the original cost) hope this helped

Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?

Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso​

Answers

Answer:

3/2 or 1 1/2

Step-by-step explanation:

So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!

1/2 ÷ 3= 1/2 ÷ 3/1=1/2 •1/3=1/6
Each glass will have 1/6 quart of milk

7/10 -3/5 plz help me

Answers

it’s 1/10 I am pretty sure it’s that!!

Find the measures of the complement and the supplement of an angle with measure 50°.
A. complement, 130°; supplement, 40°
B. complement, 40°; supplement, 130°
C. complement, 140°; supplement, 230°
D. complement, 230°; supplement, 140°

Answers

the correct answer would be B

Use the net to determine the total surface area. 10 cm 8 cm 8 cm 10 cm 8 cm 20 cm
440 cm2
880 cm2
144 cm2
72 cm2​

Answers

The answer to your questions is 440 cm2

a) Expand and simplify.
3(x - 2) - 4(x - 5)
7​

Answers

Answer:

x=7

Step-by-step explanation:

3(x - 2) - 4(x - 5)=​7​

3x+−6+−4x+20=7

(3x+−4x)+(−6+20)=7(Combine Like Terms)

−x+14=7

−x+14=7

Step 2: Subtract 14 from both sides.

−x+14−14=7−14

−x=−7

Step 3: Divide both sides by -1.

−x

−1

=

−7

−1

Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4

Answers

Let t rep tail and h rep head

First tose= h or t

Second tose= h or t

Third tose= h or t

Counting the head and tail together

Then t= 3 and h=3

According to The formulae

3/6= 1/2

Wil following three angles for a triangle? 30 degrees 60 degrees 90 degrees

Answers

yes because all angles add to 180 degrees

Which statement correctly classifies this group of animals?

Answers

Answer:

The answer is A, All of the animals are vertebrates, and all are adapted to hot climate.

Step-by-step explanation:

Because i know for sure the owl has a backbone, and so does a puma and all live in hope weather so it has to be a

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