A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches

Answers

Answer 1

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.


Related Questions

What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form

Answers

Answer:

0

Step-by-step explanation:

Because there are two negatives of the same number, we can instantly know that this would be 0.

Answer: 0

on this one it can’t be undefined so put 0 and you will get it correct

You have quarters. You find ​% more quarters in your room. Then you go shopping and spend ​% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping.​ Calculate, in​ dollars, the amount of money you have left.

Answers

Complete question :

You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters.

A. Write an expression that represents the total number of quarters you take with you when you go shopping.

B. How much money do you have left?

Answer:

[20 + (0.4*20)] = 28 quarters

$3.5

Step-by-step explanation:

Given that:

Initial number of quarters = 20

Quarters in room = 40%

Hence, Numbe of quarters in room = 0.4 * 20 = 8

Total number of quarters taken for shopping :

(Initial amount + Numbe of quarters in room)

(20 + 8) = 28 quarters

50% of quarters was spent on shopping :

0.5 * 28 = 14 quarters

Total left :

28 - 14 = 14

Quarters left in dollars :

1 quarter = 25 cent = 0.25 dollars

14 * $0.25 = $3.5

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

Answers

The answer is $483.93 just subtract $9 from 492.93

Please help due in 5 min

Answers

Answer: 4 UNITS LEFT!!!

Step-by-step explanation: I know it!

Please give me brainiest

Hope I helped :)

4 units left of the x-y plane

Just look at the picture asap plz​

Answers

Answer:

A

Step-by-step explanation:

(SIMPLY) y=-3/4x-3

Which sets of values belongs to the domain and range of a relation

Answers

full answer:

As we know that

The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.

The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.

As

The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.  

The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.

So, in the set of ordered pairs of a relation

Please help!!! 40 points and will give brainliest!!

Answers

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

If you add all four together, you get a %400 increase

Type the correct answer in the box. Use numerals instead of words.

Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.

Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.

Answers

Answer:

22% because her taxable income will now be 40,000 dollars

Step-by-step explanation:

Answer:

15% Plato

Step-by-step explanation:

Will give brainliest if correct.

Answers

The slope is -5/0. Hope this helps

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

Well the equation of the line is -3x+4, so we know the slope is -3/1

Answer:

1/3

Step-by-step explanation:

Rise = 1

Run    3

5x + (x , 3) = 38.4 =?

Answers

This is what X means (I put it in comments too lol)

x = 9.8

I NEED HELP can someone find the slope from these equations

Answers

The slope is the number with the x.
y=mx+b with m being slope.
Answers 2, -1/2, and 2/3

Answer:

[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]

In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?

Answers

I don’t know pay attention in class and I’m not being mean JK it’s 2,251,926

The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)

Please, help I am really confused!

Answers

Answer:

2.57575758

Explanation:

42.5 / 16.5

8
9
× i need help
5
8

Answers

The answer is going to be 5162.

Answer: 5/9, if I got it right.

Step-by-step explanation:

if you're talking about fractions, here is the work. I am not great at explaining.

Hope this helps!

What is the slope a line perpendicular to the line 2x+4y=8? *

Answers

Answer:

slope of line perpendicular to given equation(m)=2

Step-by-step explanation:

A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?

Answers

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

Calculate the slope of the line passing through the points (4, 7) and (9, -1).

Answers

the answer is -8/5

ur welcome lolz

Answer:

The slope is -1.6

how is an equation of the line that passes through the point (2,3) and has a slope of -6 written?​

Answers

Answer:

y - 3 = -6 (x-2) or y = -6x + 15

Step-by-step explanation:

y-k = m (x-h)

substitute (2,3) for (h,k):

y-3 = m (x-2)

substitute -6 for m:

y - 3 = -6 (x-2)

Round 2,767,545 to the nearest ten

Answers

Answer:

2767550

Step-by-step explanation:

There's no difference whatsoever. And so if we round to 2767545 to the nearest ten, it becomes 2767550.

Solve -11h − 27 ≤ 16h for h.

Answers

The Answer:

[tex]h \geqslant - \frac{27}{17} [/tex]

Answer:

h ≥ -1

Step-by-step explanation:

i took a quiz and got it right

hope this helps :)

A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How many swim classes did the student take?

Answers

Answer:

He took 5 swimming classes.

Step-by-step explanation:

The problem states that the student paid a total of $56.25 for the classes and also the one-time registration fee. To find the number of classes, we should first subtract the one-time registration fee from the total.

$56.25 - $12.50 = $43.75

Now that we know he spent a total of $43.75 on the classes without the registration fee, we can divide that number by the cost of one class ($8.75) to calculate the total number of classes he took.

43.75 / 8.75 = 5

Identify the equation of a line in point slope from that passes through the points (5,-4) and (-3,2)

Answers

Answer:

y = 3/4x - 1/4

Step-by-step explanation:

y= 3/4x-1/4 is the correct answer i think

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Answers

Answer:

(D). (8, - 5)

Step-by-step explanation:

Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)

Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

(x² - 10x + 25) + (y² + 2y + 1) = 25

(x - 5)² + (y + 1)² = 5²

(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)

5 = (2 + x) / 2 ⇒ x = 8

- 1 = (3 + y) / 2 ⇒ y = - 5

(D). (8, - 5)

Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!

Answers

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

Solve for X.Just type the number only, the answer is a positive whole number

Answers

Answer:

7

Step-by-step explanation:

If line l is parallel to line m, therefore:

[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)

Subtract 22 from each side

[tex] 16x + 22 - 22 = 134 - 22 [/tex]

[tex] 16x = 112 [/tex]

Divide both sides by 16

[tex] \frac{16x}{16} = \frac{112}{16} [/tex]

[tex] x = 7 [/tex]

Help it’s an easy question I’m just dumb please help me!

Find the x-intercept of the rational function.

A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)

Please explain how you got your answer. Thanks

Answers

Answer:

c

Step-by-step explanation:

c i think

The x-intercept is where the graph touches the x-axis. From the picture you sent, it’d be (6,0).

Express (31 – 4)(x + 7) - 1x as a trinomial in standard form.

Answers

Answer:

This would be 26 x + 189

Please help me ASAP
:D

Answers

Answer: I think it 616lbs not 100% sure

Step-by-step explanation:

10^2 = 100 + 64 sweet potatoes = 164

10^1 = 10+80 tangerines= 90

10^3= 300 + 62 spaghetti squash = 362

WILL MARK BRAINLIESTS
and go on my last question please!

Answers

Answer:

125*125

Step-by-step explanation:

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