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.
three more than the quotient of a number and 7 is at most 92. Find the number
Answer:
The number is 623.
Step-by-step explanation:
[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]
PLEASE HELP RIGHT NOW THE QUESTION IS BELOW WITH THE PICTURE IF YOU KNOW IT PLEASE TELL ME I WOULD APPRECIATE IT THANKS HAVE AN AWSOME NIGHT
Answer:
b
Step-by-step explanation:
Elvira ran 15 miles in 3 hours. Which function could determine the number of miles Elvira ran? A) y = 4x B)y=5x C) y = 2x
Answer:
B, hope it helps :D
Step-by-step explanation:
A scale drawing of a rectangular flag is 12 inches long and 8 inches wide. If the scale is 1 inch: 2.4 feet, what is the length and width of the actual flag?
Answer: length = 28.80 feet
Width = 19.20 feet
Step-by-step explanation:
Scale used = 1 inch:2.4 feet
Length or scale drawing = 12 inches
Width of scale drawing = 8 inches
Length of actual flag = (12 × 2.4 feet) = 28.80 feet
Width of actual flag = (8 × 2.4 feet) = 19.20 feet.
Answer:Answer: length = 28.80 feet
Width = 19.20 feet
Step-by-step explanation
Scale used = 1 inch:2.4 feet
Length or scale drawing = 12 inches
Width of scale drawing = 8 inches
Length of actual flag = (12 × 2.4 feet) = 28.80 feet
Width of actual flag = (8 × 2.4 feet) = 19.20 feet.
help!!
3x+6x+14=41
Solving Multi-Step Equations by Combining Like Terms
Answer:
x = 3
Step-by-step explanation:
Given
3x + 6x + 14 = 41, that is
9x + 14 = 41 ( subtract 14 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer:
x=3
Step-by-step explanation:
3x+6x+14=41
9x + 14 = 41
- 14 = - 14
9x = 27
x=3
Graph the equation of y = | x | four units up
Answer:
Y = 1x + 4
Step-by-step explanation:
Which lines are parallel
Answer:
Step-by-step explanation:
the 2nd answer choice
Answer:
a, b, and c
Step-by-step explanation:
You can see that they will never intersect, therefore they are all parallel to each other.
I hope this helped, please mark Brainliest, thank you!
Find the value of X in the triangle
Answer:
44°Step-by-step explanation:
[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]
[tex]m\angle DBE=m\angle ABC=68^o[/tex] {vertical angles}
[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]
find the solutions of the quadratic equation 3x^2-4x+4=0
Answer:
2.3
Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
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.
The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.
Answer:
The sum of two numbers is 18.
5 times the first number subtracted from 4/7 of the second number is 14.
First number --> x
Second number --> y
so
x + y = 18 --> x = 18-y
5x - (4/7)y = 14
so
5 (18-y) - (4/7)y = 14
90 - 5y - 4/7 y = 14
-5.57 y = 14-90
y = 13.64
so
x = 18 - 13.64
x = 4.36
-11 = -0.2k
find k. thank you!
Answer:
k=55
Step-by-step explanation:
Divide by -0.2 on both sides
-11/-0.2=55
55=k
Answer:
k = 55
Step-by-step explanation:
-11 = -0.2k
-0.2 -0.2 Divide -0.2 on both sides
k = 55
The plans for a new street show lamp post that are 2.5 inches apart. If the plans use a scale of 0.5 inch = 9 yards, find the actual distance between the lamp posts.
Answer: 45 yards
Step-by-step explanation:
From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,
Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:
= (2.5inches / 0.5 inches) × 9 yards
= 5 × 9 yards
= 45 yards
please help
I need it right now
thank you
Answer: Okay, I can't answer 1. and 2. because I don't know who Iris is, an the team/students
Send a pic of the teams
Step-by-step explanation:
A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole?
Answer:
The height of the flagpole is 36 feet
Step-by-step explanation:
The given parameters are;
The height of the street light = 10 feet
The shadow cast by the streetlight = 2.5 feet
The shadow cast by the flagpole = 9 foot
The height of the flagpole is given as follows;
The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)
∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)
By substituting the values, we get;
The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet
The height of the flagpole = 36 feet.
PLEASE HELP 30 POINTS...PLEASE HELP PLEASE
Answer:
u haven't attached anything
but if u need any help ask the question again or put it in the comments
ur welcome
Answer:
free points
Step-by-step explanation:
1. Andrew went to FYE to buy music for the band. He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Enter your one-sentence interpretation in the space below.
Answer:
Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100
Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12
Step-by-step explanation:
Given that:
Total money spent = $112
Number of music purchases = 14
Cost of one Music CD = $10
Cost of one cassette = $3
To find:
How much money was paid for each music CD and each cassette.
Solution:
Let the number of Music CDs purchased = [tex]x[/tex]
Money spent on Music CDs = [tex]\$10\times x[/tex]
Then the number of cassette tapes purchased = [tex]14-x[/tex]
Money spent on cassette tapes = [tex]\$3\times (14-x)[/tex]
As per the question statement:
[tex]10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10[/tex]
Therefore, number of Music CDs purchased = 10
Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100
And number of cassette tapes purchased = 14 - 10 = 4
Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12
Which organization created a shared economy?
European Union
World Trade Organization
North American Free Trade Agreements
Association of Southeast Asian Nations
Answer:
a
Step-by-step explanation:
got 100% on my final exam your welcome if wrong then you must have a different layout than me but its aka european union thats my a
The European Union is the organization which created a shared economy and is denoted as option A.
What is European Union?
This is referred to as a political and economic union of 27 member states which have their location in Europe.
It helps to foster bond through the use of a shared economy thereby making it the most appropriate choice.
Read more about European Union here https://brainly.com/question/13433737
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Emilio drew a line that is modeled by the equation y-4=3(x-2) what is the slope of the line?
what is y=x+1
y+2x=10
Answer:
listin or read but i will try to help you as much as i can
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
11
Answer:
use a2+b2=c2 so
Step-by-step explanation:
11(squared)+b(squared)=13(squared)
=121+b2=169
-121. -121
b2= 48
square root 48
Side B= 6.928
and then just round 6.928
hope this helped
Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, we have that:
[tex]h = 13, l_1 = 11, l_2 = x[/tex]
Hence, applying the Theorem:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]13^2 = 11^2 + x^2[/tex]
[tex]x^2 = 169 - 121[/tex]
[tex]x = \sqrt{48}[/tex]
x = 6.93.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
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a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
Which table shows the same relationship as the graph? Explain thank you!
PLEASE HELP WITH 18 &19
will give 15 points !!!!
(3r-16)
18. x =
19. X=
(11y - 32)
(6r+7)
y =
20. r =
19.
y =
(8x - 14)
(5y + 16)
(5x + 34)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
18 ) Go...
[tex](3x - 16) + (6x + 7) = 180[/tex]
Collect like terms
[tex]9x - 9 = 180[/tex]
Add sides 9
[tex]9x - 9 + 9 = 180 + 9[/tex]
[tex]9x = 189[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{189}{9} \\ [/tex]
[tex]x = 21[/tex]
_________________________________
[tex]11y - 32 = 6x + 7[/tex]
[tex]11y - 32 = 6(21) + 7[/tex]
[tex]11y - 32 = 126 + 7[/tex]
[tex]11y - 32 = 133[/tex]
Add sides 32
[tex]11y - 32 + 32 = 133 + 32[/tex]
[tex]11y = 165[/tex]
Divide sides by 11
[tex] \frac{11y}{11} = \frac{165}{11} \\ [/tex]
[tex]y = 15[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
19 ) Go...
[tex]8x - 14 = 5x + 34[/tex]
Add sides 14
[tex]8x - 14 + 14 = 5x + 34 + 14 \\ [/tex]
[tex]8x = 5x + 48[/tex]
Subtract sides 5x
[tex] - 5x + 8x = - 5x + 5x + 48[/tex]
[tex]3x = 48[/tex]
Divide sides by 3
[tex] \frac{3x}{3} = \frac{48}{3} \\ [/tex]
[tex]x = 16[/tex]
_________________________________
[tex](5y + 16) + (8x - 14) = 180[/tex]
[tex]5y + 16 + 8(16) - 14 = 180[/tex]
[tex]5y + 16 + 128 - 14 = 180[/tex]
[tex]5y + 130 = 180[/tex]
Subtract sides 130
[tex]5y + 130 - 130 = 180 - 130[/tex]
[tex]5y = 50[/tex]
Divide sides by 5
[tex] \frac{5y}{5} = \frac{50}{5} \\ [/tex]
[tex]y = 10[/tex]
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The sanctuary’s gift shop purchases items for the amount shown in the table. Leo marks up the cost of each item by 45% to determine the gift shop’s selling price. How much would a customer pay for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax?
Answer:21.50 dollars
Step-by-step explanation:
The customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
According to the given, the required solution would be as:
Mark up for binoculars = 10 x 1.45 = 14.50
14.5 x 1.085 = 15.7325 in sales tax
The total cost per binocular is $15.73 ($).
Bird Guide Commission = 7 x 1.45 = 10.15
10.15 x 1.085 = 11.01275 Sales Tax
The total cost per Bird Guide is $11.11 ($).
The addition provides one of each.
⇒ 15.73 + 11.01 = 26.74
Thus, the customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
Learn more about the percentages here:
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it cost $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lb of walnuts
Answer:
$34.5
Step-by-step explanation:
4/3x3.45=4.6
7.5x4.6=34.5
Solve the equation using square roots.
2(x + 1)2 - 7 = 25
solution: x=
x=7
I'm sorry if I'm wrong
HELPPPP! ILL GIVE YOU BRAINLIEST!
Answer:Can you put the question?? Thank You
Step-by-step explanation:
Answer:
what can i help with?
Step-by-step explanation:
Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??
Step-by-step explanation:
1. 4/8=1/2
2.3/9=1/3
3.9/12=3/4
4.3/6=1/2
Please help! ! ! ! !
