A 5 inch x 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x
inches larger than the width and length of the photograph. Which expression represents the perimeter of the
frame?
O 4x + 12
O 8x + 24
O 2x² +24
O 4x²+24x+35
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Answers
The expression that represents the perimeter of the frame is (8x+24) inches. Option C
How to find the perimeter of a rectangle?From the question, we are given that dimensions of the photograph is 5 inch × 7 inchIt is given that the dimensions of the frame are 2x inches larger than the dimensions of the photograph. Thus, the dimensions of the frame is (2x+5) inches × (2x+7) inches.
Since, the frame is in rectangular shape. Perimeter of a rectangle = 2(Length + Width)
= 2(2x+5+2x+7)
= 2(4x+12)
= 8x+24 inches.
Thus, the perimeter of the frame is represented by the expression (8x+24) inches.
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Related Questions
Angel is going to drive from his house to City A without stopping. Angel's house is 200 miles from City A and after driving for 4 hours, he will be 40 miles away from City A. Write an equation for D,D, in terms of t,t, representing Angel's distance from City A tt hours after leaving his house.
THIS IS KINDA URGENT
Answers
Answer: -40t+200
Step-by-step explanation:
The equation for D, in terms of t, represents Angel's distance from City A tt hours after leaving his house is D = 40t.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
Angel is going to drive from his house to City A without stopping. Angel's house is 200 miles from City A.
After driving for 4 hours, he will be 40 miles away from City A.
From the data given in the question:
200 - 40 = 160
160/4 = 40 km/h
D = 40t
Thus, the equation for D, in terms of t, represents Angel's distance from City A tt hours after leaving his house is D = 40t.
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if 3/4 is the dividend and -2/5 is the divisor then what is the quotient ?
Answers
Answer:
\(\dfrac{-15}{8}\)
Step-by-step explanation:
Fraction division:\(\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}\)
Use KCF method.
Keep the first fraction.Change division to multiplicationFlip the second fraction.\(\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}\)
\(\sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}\)
What are the solutions to the equation?
Answers
What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?
Answers
Answer:
y = x + 7
Step-by-step explanation:
If the slope is 1, the original equation is y = mx + b, with m being 1.
Now substitute -6 and 1 for x and y and solve for b
1 = 1(-6) + b
1 = -6 + b
7 = b
Put it all together:
y = x + 7
Wyatt is hiking a trail that is 11/12 mile long.After hiking 1/4 mile he stops for water he continues hiking for another 1/6 mile and stops to rest how much farther must he hike to finish the trail
Answers
Answer:
the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.
For what values of c and d would the rectangles be similar?
Answers
By using the definition of similarity and the dimensions of each rectangle, a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5. (Correct choice: C)
How to find the dimensions of a rectangle similar to other rectangle
Two rectangles are similar if both hold the same height to width ratio. Mathematically speaking, the two rectangles must fulfill the following requirement:
b / a = d / c (1)
Where:
a - Width of the big rectangle.b - Height of the big rectangle.c - Width of the small rectangle.d - Height of the small rectangle.If a = 50 and b = 80, then the ratio of the second rectangle must be:
d / c = 8 / 5
By direct comparison with any of the four choices, we find that a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5.
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A square is attached to a semicircle to make the figure shown in the diagram below .
if the radius of the semicircle is 4 meters ,what is the aproximate area of the figure .
Answers
Answer:
C) 89.12 m^2
Step-by-step explanation:
You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.
To find the area of a semicircle, use this formula:
1/2πr^2 (1/2 x 3.14 x radius x radius)
Here, this radius is 4.
Now, we just plug in the numbers.
[3.14 is always used for π (pi)].
1/2 x 3.14 x radius x radius
↓
1/2 x 3.14 x 4 x 4 = 25.12
25.12 is the area of the semicircle.
Now, we must find the area of the square.
SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.
8 x 8 = 64.
Now that we have both areas, we add to find the area of the figure.
25.12 + 64 = 89.12
Therefore, the area of this figure is 89.12 meters^2.
Consider the diagram of two intersecting lines and the angles that are formed.
1
2
4
3
Which statement will help to show that 22 24?
OZ1 is complementary to 22, and 21 is complementary to 24.
21 is supplementary to 22, and 21 is supplementary to 24.
m/1+ m23 = 90°.
21 is vertical to 22, and Z1 is vertical to 24.
Answers
The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4
What is a supplementary angle?
In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:
m∠1 + m∠2 = 180° (Linear pair theorem).
m∠1 + m∠4 = 180° (Linear pair theorem).
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Complete Question:
Consider the diagram of two intersecting lines and the angles that are formed.
Which statement will help to show that ∠2≅∠4?
a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.
b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.
c.) m∠1+m∠3=90°.
d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.
Please help NOWWW!!!
Write y=2/3x+7 in standard form using integers.
A. -2x+3y=7
B. -2x+3y=21
C. 3x-2y=21
D. -2x-3y=21
Answers
The given equation y = 2/3x + 7 can be written in standard form by moving all of the terms containing x to the left side of the equal sign and all of the constants to the right side:
2/3x - y = -7
Multiplying both sides of the equation by 3 and simplifying, we get:
3(2/3x - y) = 3(-7)
2x - 3y = -21
Therefore, the equation y = 2/3x + 7 can be written in standard form as -2x - 3y = -21, which corresponds to answer choice (D).
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answers
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
a comic book costs $3.99. it is marked up 45%. what is the final price of the comic book after it is marked up?
Answers
The final price of the comic book after it is marked up is $5.79.
Since we have given that
Cost of a comic book including tax = $ 3.99
According to the question, it is given that it is marked up 45%,
=3.99 × (100+45)÷100
=3.99 × 145/100
=399 × 1.45
=5.79
Hence, the final price of the comic book after it is marked up is $5.79.
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What is the domain of the relation? {−5, 0, 3, 4} {−4, −1, 0, 1, 3} {−5, −2, 0, 1, 4} {−5, −4, −2, −1, 0, 1, 3, 4}
Answers
The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)
From above, the x absciss of each ordered pair is termed as the domain of the relation.
So, set of domain = {−5, 0, 3, 4}]
Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.
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Yusuf and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4 and a drink for $3.25. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 4 bags of popcorn and 8 drinks: Total cost, p bags of popcorn and d drinks:
Answers
Answer:
$42 would be the correct answer.
The Le quadrature rule for (-1, 1) uses four nodes: t1 = -1, ta = 1 and t2 and t3 chosen optimally, to minimise the error. (a) Write down the system of equations for the nodes and weights and solve this exactly Hint: aim for an equation involving 1 + t but not w or w2.
Answers
The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.
To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.
Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.
The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.
The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).
By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2,−3) B(4,−3) C(4,5) D(2,5) What is the perimeter of rectangle ABCD? please answer URGENT! :)
Answers
Answer:
21 unit square
Step-by-step explanation:
First you want to find the length and width of the rectangle using the distance formula:
d=√(x2-x1)²+(y2-y1)²
AB=√(6-3)²+ (-2 - -2)²
AB=√3² + 0
AB=√9
AB=3
BC=√(6-6)²+ (5 - -2)²
BC=√0 + 7²
BC=√49
BC=7
We can find the area by multiplying these two distances together:
A=(3)(7)
A=21 units square.
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Tysm
The bar graph shows the number of reserved campsites at a campground for one week. What percent of the reservations were for Friday or Saturday?
Reservations: Monday=5
Tuesday=3
Wednesday=4
Thursday=7
Friday=26
Saturday=30
Sunday=9
Answers
The percentage of the reservations were for Friday or Saturday is 67%
How to determine the percentage of the reservations were for Friday or Saturday?From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following data values for reservation
Monday = 5Tuesday = 3Wednesday = 4Thursday = 7Friday = 26Saturday = 30Sunday = 9The total number of reservations in the bar chart is then calculated as
Total number of reservations = 5 + 3 + 4 + 7 + 26 + 30 + 9
Evaluate the sum
So, we have the following representation
Total number of reservations = 84
The total number of reservations for Friday or Saturday is then calculated as
Total number for Friday or Saturday = 26 + 30
Evaluate the sum
So, we have the following representation
Total number for Friday or Saturday = 56
The percentage of the reservations were for Friday or Saturday is then calculated as
Percentage = Total number for Friday or Saturday/Total number of reservations
This gives
Percentage = 56/84
Evaluate
Percentage = 67%
Hence, the percentage is 67%
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URGENT URGENT URGENT!!!
HELP PLEASE!!
Answers
Answer:
Step-by-step explanation:
I think it’s b correct me if I’m wrong
Answer:
I think it is b im pretty sure
PLSSSS HELP!!!! Math isn't my specialty
Answers
Answer:
Minimum value = 2
Maximum value = 26
Lower quartile = 4
Median = 14
Upper quartile = 20.5
Step-by-step explanation:
Five number summary:
Minimum valueMaximum valueLower quartileMedianUpper quartileAssuming the stem is the tens column and the leaves are units, the data values are:
2, 2, 3, 5, 7, 13, 15, 16, 20, 21, 24, 26
Minimum value = 2
Maximum value = 26
Median - middle value
As there is an even number of data values, the median is the mean of the 6th and 7th data values.
Median = (13 + 15) ÷ 2 = 14
Lower quartile
As there is an even number of data values, the lower quartile is the mean of the 3rd and 4th data values.
Lower quartile = (3 + 5) ÷ 2 = 4
Upper quartile
As there is an even number of data values, the upper quartile is the mean of the 20th and 21st data values.
Lower quartile = (20 + 21) ÷ 2 = 20.5
Pls help I’m getting confused even though should be pretty easy.
Answers
Answer:
V = 108
Step-by-step explanation:
B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108
True or false: If we leave off the error term from the population linear model, the left hand side of the equation is now the expected value of Y for a given x value.
Answers
If we leave off the error term from the population linear model, the left-hand side of the equation is now the expected value of Y for a given x value. false
The error term in a linear regression model captures the unobserved factors that affect the dependent variable Y. If we remove the error term, we would end up with a model that only explains the relationship between the dependent variable and the independent variable(s).
The left-hand side of the equation represents the actual value of the dependent variable Y, whereas the right-hand side represents the predicted or expected value of Y given the values of the independent variables.
In a population linear model, if we remove the error term, the left-hand side would still represent the actual values of Y in the population, and the right-hand side would represent the expected value of Y given the values of the independent variables.
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6. Answer with the correct number of Significant Figures: 340. + 82.6 + 5.482 =
Answers
The given sum is
\(340+82.6+5.482\)First, we have to add decimal numbers until all of them has the same number of decimals.
\(340.000+82.600+5.482\)Now, we can sum as usual.
Therefore, the result of the given sum is 428.082.
40 m divided by 2
Can YOU solve that?
ha! I know the answer
Answers
Answer:
20m
Step-by-step explanation:
40m/2
20m
because 40/2=20
Gabriella is a high school basketball player. in a particular game, she made some two point shots and some three point shots. gabriella scored a total of 32 points and made 4 more three point shots than two point shots. determine the number of two point shots gabriella made and the number of three point shots she made.
Answers
From the question above, we can get the answer the points Gabriella made. Gabriella made 7 points of two shots and 6 points of three shots.
How to Solve The Problem?
To determine the number from question above, we use "system of equation". System of equation is a set of two linear equations with two variables.
total shots: 323 shots: y2 shots: xY = 4y, since Gabriella made 4 more three points shots.Translating the question into an algebraic expression
2x + 3y = 32 and Y = 4xDetermine the number
Determine the number of xy + 3 = x
4 + 3 = x
7 = x
Determine the number of y2x + 3y = 32
2x + 3y = 32
2(7) + 3y = 32
14 + 3y = 32
3y = 32 - 14
3y = 18
y = 6
Hence, the number of two point shots and three point shots Gabriella made is 7 and 6.
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Student Name: Q2A bridge crest vertical curve is used to join a +4 percent grade with a -3 percent grade at a section of a two lane highway. The roadway is flat before & after the bridge. Determine the minimum lengths of the crest vertical curve and its sag curves if the design speed on the highway is 60 mph and perception/reaction time is 3.5 sec. Use all criteria.
Answers
The minimum length of the crest vertical curve is 354.1 feet, and the minimum length of the sag curves is 493.4 feet.
In designing the crest vertical curve, several criteria need to be considered, including driver perception-reaction time, design speed, and grade changes. The design should ensure driver comfort and safety by providing adequate sight distance.
To determine the minimum length of the crest vertical curve, we consider the stopping sight distance, which includes the distance required for a driver to perceive an object, react, and come to a stop. The minimum length of the crest curve is calculated based on the formula:
Lc = (V^2) / (30(f1 - f2))
Where:
Lc = minimum length of the crest vertical curve
V = design speed (in feet per second)
f1 = gradient of the approaching grade (in decimal form)
f2 = gradient of the departing grade (in decimal form)
Given the design speed of 60 mph (or 88 ft/s), and the grade changes of +4% and -3%, we can calculate the minimum length of the crest vertical curve using the formula. The result is approximately 434 feet.
Additionally, the sag curves are designed to provide a smooth transition between the crest curve and the approaching and departing grades. The minimum lengths of the sag curves are typically equal and calculated based on the formula:
Ls = (V^2) / (60(a + g))
Where:
Ls = minimum length of the sag curves
V = design speed (in feet per second)
a = acceleration due to gravity (32.2 ft/s^2)
g = difference in grades (in decimal form)
For the given scenario, the difference in grades is 7% (4% - (-3%)), and using the formula with the design speed of 60 mph (or 88 ft/s), we can calculate the minimum lengths of the sag curves to be approximately 307 feet each.
By considering the perception-reaction time, design speed, and grade changes, the minimum lengths of the crest vertical curve and the sag curves can be determined to ensure safe and comfortable driving conditions on the two-lane highway.
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Brett has a $30 online gift card. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. Write an inequality to show how to find the maximum number of books can he afford without spending more than his gift card.
Answers
30 ≥ 4x+2
You don’t want to spend more than $30, so you want to spend as close to $30 as possible, or equal it.
please hep me asap!!!
Answers
RP= 40 (62-22)
Fill in the blanks to complete the table.
一/7
0.392 X 1
0.392 × 10
0.392 × 102
0.392 × 103
0.392 X 104
Answers
Answer:
一/7
0.392 X 1 = 0.392
0.392 × 10 = 3.92
0.392 × 102 = 39.2
0.392 × 103 = 392
0.392 X 104 = 3,920
The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.
Answers
Answer:
Step-by-step explanation:
Givens
V = 75716
pi = 3.14
r = ?
Formula
V = (4/3) pi * r^3
Solution
75716 = (4/3) * 3.14 * r^3 Multiply both sides by 3/4
75716 * 3/4 = 3.14 * r^3
56787 = 3.14 r^3 Divide by 3.14
56787 / 3.14 = 3.14 * r^3/3.14
18085 = r^3
∛18985 = ∛ r^3
r = 26.25
PLease Help Will Mrk Brainliest
Answers
Answer:
x=81°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
57+42=99
180-99=81
A data set has a maximum of 84, a minimum of 34, a median of 52. 5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set? The box will go from 44 to 64. A line dividing the box will be at 54. The left whisker will go from 34 to 52. 5. The right whisker will go from 44 to 84.
Answers
The statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.
What is box plot representation of data?Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
The values of the data set is given as,
The data set has a maximum of 84, The minimum of 34, a median of 52. 5, The upper quartile of 64, and The lower quartile of 44.The statement is true of the box plot of this data set has to be find out.
In a box plot, the quartile is the limit of the box plot. The values can be go from the upper quartile to the lower quartile in a box plot.
Here, the upper quartile of the box plot is 64 and the lower quartile of box plot is 44. Thus, it can go only from 44 to 64.
Hence the statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.
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