A photographer wants to print a photograph and two smaller copies on a rectangular sheet of paper. The larger photograph and the smaller photographs are in proportion. The larger photograph has a width of 4 inches and a length of 6 inches. Point A and point B are the midpoints of the sides of each rectangle. Here are two possible
ways the photographs can be arranged:
(Note: Diagrams are not drawn to scale.)
Part 1:
Find the measurements of the small photographs for each diagram. Show your calculations and label the meaning of all numbers.
Note that in Diagram 1, the unknown breath is 2, while in Diagram 2, the unknown breath is 2. Thus, the measurement of Diagram 1 is 6 x 6 while that of Diagram 2, is 8.5 x 6.
What is the rationale for the above result?1 )Note that for Diagram 1, the length is given for the regular photo so each length of the smaller photo must be 3 inches since 6/2 = 3.
To drive the width, we have to look at the ratio of the decrease of the Lenght in the larger picture to that of the smaller picture. The ration is given as 6/2 = 2. That means for the width we must also have 4/2 = 2. Thus, the unknown breath is 2.
2) Note that for Diagram 2, the length is given for the regular photo so each width of the smaller photo must be 3 inches since 6/2 = 3.
The decreament ratio for width is given as 4/3 so the unknown breath is 2.
Thus, the measurement of the diagrams are:
Diagram 1: 6inches wide and 6 inches high
Diagram 2 8.5 inches wide and 6 inches hight.
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Which expression is equivalent to 3y?
o 36+12)-12
о
O
+
1
1
ooy+(+12)-2
1
žy+5(6-1)
5 ¥
1
3
PLEASE HELLLLLLLLPPPPPPPPP FRENDSSSSS
Answer:
Ooy+(+12)-2
Step-by-step explanation:
Cause the dimoneter is the 12 a pelagic
Sally can paint a room in 4 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?
Sally paints a room in 4 hours, so in 1 hour she paints 1/4 of a room.
Steve paints a room in 8 hours, so in 1 hour she paints 1/8 of a room.
So,
1 hour -----> 1/4 + 1/8 of a room
x hour -----> 1 of a room
~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~
Answer:
THe answer is 13
Step-by-step explanation:
Answer:
its the second one 13
Step-by-step explanation:
100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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A common multiple is 180 true or false
Answer:
False
Step-by-step explanation:
13 out of 25 people agreed to help at a charity event. What percentage is
this?
21 out of 40 children arrived on time. What percentage were late? *
Find the percentage
A French test is out of 48 marks.
Simone scores 30 marks.
What is Simone's score as a percentage?
Answer:
Hi! The correct answer is 3.25, 7.6 and 0.3!
Step-by-step explanation:
(3.22x10^3)-(2.96x10^3)
The value of (3.22 - 2.96)×10³ is 0.26×10³.
What is scientific notation?We use scientific notation for writing large numbers in compact form.
Scientific notation is written in base multiplied by 10 raised to some power where 0 ≤base < 10 scientific notation also has an alternative name which is known as engineering notation.
We know when we have numbers in scientific notation with the same exponent value we can do arithmetic operations to the base.
∴ (3.22x10³) - (2.96x10³).
= (3.22 - 2.96)×10³.
= 0.26×10³.
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Bella its jordan please reply
Answer:
ejeiejeir
Step-by-step explanation:
mdkdkdksoseojehdjr
hey jordan i find your bella i m following her ok i will tell her that you are searching her
The area of Seth's bedroom is 1/2 of the area of his mom's living room. Seth also has a closet with an area of 12 square feet. If the total area Seth has at his disposal is 132 square feet, what is the area of the living room?
Let S be the area of Seth's bedroom and let M be the area of his mom's living room.
Let's first set-up the e
From the question, "The area of Seth's bedroom is 1/2 of the area of his mom's living room" can be written mathematically as;
S = 1/2 M ---------------------------------------------(1)
Also, "the total area Seth has at his disposal is 132 square feet" implies;
S + 12 = 132 -----------------------------------------------------(2)
Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models
Answer:
12 dollars per chair
Step-by-step explanation:
294 - 198 = 96
96 divided by 8 = 12
An account with an initial balance of $4000 earns 6.5% interest for 5 years.
What is the ending balance?
Enter your answer in the box.
The ending balance is $5,480.
Given that,
The initial balance is $4,000.The rate of interest is 6.5%.And, the time period is 5 years.Based on the above information, the calculation is as follows:
\(= \$4,000 \times (1 + 0.065)^5\)
= $5,480
Therefore, the ending balance is $5,480.
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Answer: Hi, the ending balance is 5,300
Step-by-step explanation:
I took the test and got an 100. Hope this helps!
The Ryan family pays 1,347 per month for rent. If there rent doesn't change how much will they pay in dollars for rent over the 30 years.
( will give brainliest if you help)
Answer:
in a span of 30 years, the family would pay $40,410 in rent.
Step-by-step explanation:
you simply multiply $1,347 by 30!
(comment any questions)
Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
HELP!!!!!
Determine if each graph represents a function by using the vertical line test.
4 thru. 6
Answer:
[4] Function
[5] Not a function
[6] Function
Step-by-step explanation:
The vertical line test is a test to determine if the line graphed is a function. Taking a vertical line, you move it left and right through the graph. If, at any point, there are two or more intersections in the vertical line, the graph is not a function.
4 and 6 pass the test meaning they are functions, 5 does not.
What is the slope of this line? 3/2 2/3 −3/2
Answer:
\(\frac{3}{2}\)
Step-by-step explanation:
First, it is going upwards from left to right so we know it'll be positive. Then we do the following:
\(\frac{rise}{run}=\frac{change.in.y}{change.in.x}=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}=\frac{0--6}{4-0} =\frac{0+6}{4-0} =\frac{6}{4} =\frac{3}{2}\)
("." in the second fraction is for separate words)
So the slope is \(\frac{3}{2}\)
Hope this helps, have a nice day! :D
HELP TIMED BRAINLIST QUICK
Answer:
12 x^9 + 15 x^8 - 8 x^6 - 10 x^5 = A.) is the answer
Step-by-step explanation:
Expand the following:
x^4 (3 x^3 - 2) (4 x^2 + 5 x)
Hint: | Multiply 3 x^3 - 2 and 4 x^2 + 5 x together using FOIL.
(3 x^3 - 2) (4 x^2 + 5 x) = (3 x^3) (4 x^2) + (3 x^3) (5 x) + (-2) (4 x^2) + (-2) (5 x) = 12 x^5 + 15 x^4 - 8 x^2 - 10 x = 12 x^5 + 15 x^4 - 8 x^2 - 10 x:
x^4 12 x^5 + 15 x^4 - 8 x^2 - 10 x
Hint: | Distribute x^4 over 12 x^5 + 15 x^4 - 8 x^2 - 10 x.
x^4 (12 x^5 + 15 x^4 - 8 x^2 - 10 x) = x^4 (12 x^5) + x^4 (15 x^4) + x^4 (-8 x^2) + x^4 (-10 x):
12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^4 x
Hint: | Combine products of like terms.
x^4 (-10) x = x^(4 + 1) (-10):
12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 + -10 x^5
Hint: | Evaluate 4 + 1.
4 + 1 = 5:
12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^5
Hint: | Combine products of like terms.
x^4 (-8) x^2 = x^(4 + 2) (-8):
12 x^4 x^5 + 15 x^4 x^4 + -8 x^6 - 10 x^5
Hint: | Evaluate 4 + 2.
4 + 2 = 6:
12 x^4 x^5 + 15 x^4 x^4 - 8 x^6 - 10 x^5
Hint: | Combine products of like terms.
x^4×15 x^4 = 15 x^8:
12 x^4 x^5 + 15 x^8 - 8 x^6 - 10 x^5
Hint: | Combine products of like terms.
x^4×12 x^5 = x^(4 + 5)×12:
12 x^9 + 15 x^8 - 8 x^6 - 10 x^5
Hint: | Evaluate 4 + 5.
4 + 5 = 9:
Answer: 12 x^9 + 15 x^8 - 8 x^6 - 10 x^5
Answer:
The answer is the the first one
solve x^3 = 125/27.
A.25/9
B.+ 25/9
C.5/3
D.+5/3
There is supposed to be a line under the addition symbol on answer B and D.
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
When a female asks me why am i dry does she mean why am i dry at texting?
Answer asap
Answer:
if u might be giving replies in short like hmm... gn and all she meant that only ig
hope it helps.....
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point
PLEASE ANSWER WILL GIVE BRAINLIEST
Answer:
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
To factor this quadratic equation, we look for two numbers that multiply to give -20 and add up to -1 (the coefficient of the x-term). The numbers -5 and 4 satisfy these conditions:
2x² - 5x + 4x - 10 = 0
x(2x - 5) + 2(2x - 5) = 0
(x + 2)(2x - 5) = 0
Setting each factor equal to zero gives us:
x + 2 = 0 or 2x - 5 = 0
Solving these equations, we find:
x = -2 or x = 5/2
Therefore, the x-intercepts of the graph of f(x) are -2 and 5/2.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we can look at the coefficient of the x² term. Since the coefficient is positive (2), the parabola opens upwards, and the vertex represents a minimum point.
To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the x² and x terms, respectively.
In this case, a = 2 and b = -1:
x = -(-1) / (2 * 2) = 1/4
To find the corresponding y-coordinate, we substitute this x-value back into the equation:
f(1/4) = 2(1/4)² - 1/4 - 10
f(1/4) = 1/8 - 1/4 - 10
f(1/4) = -81/8
Therefore, the vertex of the graph of f(x) is a minimum and has coordinates (1/4, -81/8).
Part C: To graph f(x), we can use the information obtained in Part A and Part B.
1. Plot the x-intercepts: Mark -2 and 5/2 on the x-axis.
2. Plot the vertex: Mark (1/4, -81/8) as the lowest point on the graph.
3. Determine additional points: Choose a few more x-values, calculate the corresponding y-values using the equation f(x) = 2x² - x - 10, and plot these points.
4. Draw a smooth curve: Connect the plotted points with a smooth curve, keeping in mind that the parabola opens upward.
Using these steps, you can graph f(x) and accurately represent the x-intercepts, vertex, and overall shape of the parabolic curve.
What is 32 divided by 4 to the second power plus 35-20 divided by 5
Plz help well mark brainliest if you are correct!
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
Math number 8.
Find the value of x
Answer:
8
Step-by-step explanation:
By intersecting chords theorem:
\(14(2x + 2) = 12(2x + 5) \\ \\ 28x + 28 = 24x + 60 \\ \\ 28x - 24x = 60 - 28 \\ \\ 4x = 32 \\ \\ x = \frac{32}{4} \\ \\ x = 8\)
i need an answer in 5 minutes please!
Find a unit vector in the direction of the given vector, w = 6i - 3j
Step-by-step explanation:
hope this helps, you can ask any questions for clarification
multiplicative inverse of -1
Answer:
1
Step-by-step explanation:
Just as for any positive number, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal.
Line A y= 2x + 3 is parallel to another line B, what is the slope of the line B?
Answer:
2
Step-by-step explanation:
Since the lines are parallel, then the slope of line B would be the same as line A.
Condense each Logarithm
The equation of logarithm are solved and
a) A = 2 + 3 log x + 4 log b
b) B = ( 36 + x + y ) ( log 6 )
c) C = ( 1/2 )x log 5
d) D = ln ( x⁴ / y² )
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
a)
A = 2 log 10 + 3 log x + 4 log b
The base of the logarithm is 10 , so
A = 2 + 3 log x + 4 log b
b)
B = log 6³⁶ + log 6ˣ - log 6^ ( y )
From the properties of logarithm , we get
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
B = 36 log 6 + x log 6 + y log 6
On taking the common term , we get
B = ( 36 + x + y ) ( log 6 )
c)
C = ( 1/2 )log 5ˣ
From the properties of logarithm , we get
C = ( 1/2 )x log 5
d)
D = 4 ln x - 2 ln y
From the properties of logarithm , we get
D = ln x⁴ - ln y²
On further simplification , we get
D = ln ( x⁴ / y² )
Hence , the logarithmic equations are solved
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