The solution is: Area of actual Patio is: 170 ft²
Given:
Patio drawing of 4.25 in by 2.5 in
Scale of Patio to its drawing = 4ft to 1 in
Requires:
Area of actual Patio
SOLUTION:
Area of actual Patio = area of a rectangle = length × width
Given a scale drawing of 4ft to 1 in, therefore:
Length of actual Patio = 4.25 × 4 = 17 ft
Width of actual Patio = 2.5 × 4 = 10 ft
Therefore:
Area of actual Patio = 17 ft × 10 ft = 170 ft²
To learn more on area click:
brainly.com/question/19187448
#SPJ1
complete question:
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4ft to 1in. What is the area of the actual patio?
Which is the best definition of a trapezoid?
a parallelogram that can have 2 equals sides
a quadrilateral with 1 pair of parallel sides
a parallelogram with no equal sides
a parallelogram with no equal angles
ill mark you brainiest ifffff you mark me or just dont answer
Answer:
B) A quadrilateral with one pair of parallel sides
Step-by-step explanation:
Specifically, this is a 4 sided figure with exactly one pair of opposite sides that are parallel. The other two sides are not parallel. A trapezoid can be formed if you draw a parallel segment to one side of a triangle. If you had two pairs of parallel sides, then it would be a parallelogram instead of a trapezoid.
The box plots below show distribution of grades in one class on two tests.
Which measures of center and variability would be best to use when making comparisons of the two data sets?
For comparing two data sets using box plots, 'median and IQR' is the best choice as they describe the center and variability effectively, especially for skewed data. Therefore, option d is the correct answer.
When comparing two data sets using box plots, the best measures of center and variability to use are often the median and interquartile range (IQR).
The median best describes the center of a skewed distribution, as it is not affected by extreme scores, and the IQR describes the variability by measuring the spread of the middle 50 percent of the data.
Therefore, between the options provided, 'median and IQR' would be the best measures to compare the two data sets of Test 1 Grades and Test 2 Grades.
A box plot displays the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.
The IQR is calculated by subtracting Q1 from Q3, giving us the spread for the middle 50 percent of the data. This is helpful when assessing how close the data values are to the center and how they are distributed within that range.
Therefore, option d is the correct answer.
Solve this absolute value inequality.
{14-2x]<8
[tex]|14-2x|<8\iff14-2x<8\ \wedge\ 14-2x>-8\qquad\text{subtract 14 from both sides}\\\\-2x<-6\ \wedge\ -2x>-22\qquad\text{change the signs}\\\\2x>6\ \wedge\ 2x<22\qquad\text{divide both sides by 2}\\\\x>3\ \wedge\ x<11[/tex]
Robin is standing on the top of a 40-foot flagpole at 1 p.m. At the same time, a 4-foot child on the ground casts a shadow of length 0.8 feet. If Robin is 6 feet tall, how much longer is the shadow of the flagpole and Robin together than the shadow of the flagpole alone? Specify your answer as a decimal to the nearest tenth.
Answer:
1.2 ft
Step-by-step explanation:
We can use ratio's to solve this problem. Put the item on top, and the shadow on the bottom
40 ft flagpole 4 ft child
--------------------- = --------------------
x ft shadow .8 ft shadow
Using cross products
40 * .8 = 4x
32 = 4x
Divide each side by 4
32/4 = 4x/4
8 = x
The flag pole casts an 8 ft shadow
The question asks how much longer is the shadow of the flagpole and Robin than the flagpole? In other words, how long is Robins shadow
40 ft flagpole 6ft Robin
--------------------- = --------------------
8 ft shadow x ft shadow
Using cross products
40 *x = 6*8
40x = 48
Divide by 40
40x/40 = 48/40
x = 1.2
Answer:
1.2
Step-by-step explanation:
The height of an object and the length of its shadow are directly proportional. Let h be the height of an object and s be the length of its shadow. From the information about the child, we have h/s = 4/(0.8) = 5. The flagpole with Robin on top has a height of 46 feet. Suppose its shadow has length x. Solving the equation 46/x = 5 for x gives us x = 46/5 = 9.2 feet. The flagpole alone is 40 feet tall. Suppose its shadow has length $y.$ Then, we must have 40/y = 5. Solving this equation gives y=8 feet. So, the difference in shadow lengths is 9.2 -8= 1.2
Complete the point slope equation of the line through (-2,6) and (1,1)
Answer:
y-1 =( -5/3) (x-1)
Step-by-step explanation:
The point slope equation for a line is
y-y1 = m(x-x1)
where m is the slope and (x1, y1) is a point
We need to determine the slope
The formula for slope is
m = (y2-y1)/(x2-x1)
where (x1,y1) and (x2,y2) are points
m = (1-6)/(1--2)
= (1-6)/(1+2)
=-5/3
The slope is -5/3
Now we can substitute the slope into the equation for a line. We can use either point. I will use (1,1)
y-y1 = m(x-x1)
y-1 =( -5/3) (x-1)
Answer:
y-1 =( -5/3) (x-1)
Step-by-step explanation:
The point slope equation for a line is
y-y1 = m(x-x1)
where m is the slope and (x1, y1) is a point
We need to determine the slope
The formula for slope is
m = (y2-y1)/(x2-x1)
where (x1,y1) and (x2,y2) are points
m = (1-6)/(1--2)
= (1-6)/(1+2)
=-5/3
The slope is -5/3
Now we can substitute the slope into the equation for a line. We can use either point. I will use (1,1)
y-y1 = m(x-x1)
y-1 =( -5/3) (x-1)
bottle a contains 4 ounces of water, which is 25% of the amount of water in bottle b. How much water is in bottle b?
Final answer:
By setting up a proportion based on the fact that 4 ounces represents 25% of the amount in bottle B, we calculated that bottle B must contain 16 ounces of water.
Explanation:
The question asks us to determine how much water is in bottle B given that bottle A contains 4 ounces of water, which is 25% of the amount of water in bottle B. This means bottle A has one-fourth the amount of water that is in bottle B.
To find out how much water is in bottle B, we can set up a simple proportion: if 4 ounces is 25%, then 100% (which is the full amount in bottle B) would be four times as much. Therefore, we multiply 4 ounces by 4.
4 ounces × 4 = 16 ounces
So, bottle B contains 16 ounces of water.
Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?
Question
Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?
Answer:
1.80 £Step-by-step explanation:
find the price of pears
7kg * 1.30£ = 9.1£
from the total price take away the cost of pears
12.70 - 9.1 = 3.6 £ (price of 2Kg of pears)
3.6 : 2 = 1.80 £ ( cost of 1 Kg of apples)
----------------------------------------------
or you can solve with an expression
12.70 - (7 * 1.3) : 2 =
1.80 £
which of the following lines is perpendicular to the line y=-2
A.) y=1/5x+3
B.) y+3=-5(x+2)
C.) y=2
D.) x=-2
Answer:
D, x = -2
Step-by-step explanation:
The slope of y = -2 is 0, because it is horizontal. The perpendicular slope of a horizontal slope is a vertical, which has x equaled to a number. The answer is D, x = -2, because its slope is undefined, or vertical. This makes it perpendicular to 0, or horizontal.
$0.60 bottle of iced tea marked up $1.35
On his first five math tests Colin receive the following scores: 82,90,93,62,and 81. What test score must : Burn on his six test so that his average for all six of us 80?
Answer:
The lowest he can get is a 72 to maintain an 80 as his average
Step-by-step explanation:
Christi has $50 to spend at the fair. She plans to spend $8 on admission and $15 on snacks. She wants to play a game that costs $0.90 per game. Which inequality gives the maximum number of times, x, Christi can play the game.
Answer:
30 games
Step-by-step explanation:
8+15+0.9x is less than or equal to 50
isolate x:
x is less than or equal to 30
what is 2+2 divided by 4 * 5 * 6^3
give an 20 word explanation for 50 pts.
Answer:
The first thing we are going to do is simplify the equation. 2 + 2 equals to 4. 6^3 equals to 216. 4 x 5 equals to 20. Now, we solve the equation to the right because we multiply before we divide 20 x 216 = 4,320 and now we are going to divide 4,320 by 4 which equals to 1,080.
Step-by-step explanation:
Answer:
542
Step-by-step explanation:
You must use order of operations: PEMDAS
P_arenthesis
E_xponents
M_ultiplication or
D_ivision left to right
A_ddition or
S_ubtraction left to right
So there are no parenthesis, then you do exponents.
2 + 2/4 * 5 * 6^3
So six times six three times.
2 + 2/4 * 5 * 216
Now divide usually from left to right.
2 + 0.5 * 5 * 216
Multiply
2 + 2.5 * 216
Multiply for the last time 2.5 by 216
2 + 540
Finally add
542
Hope this helps future students,
Que.
Students in Mr Tarlows are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
70 pages
Step-by-step explanation:
25 % = 25/100 = 1/4
Number he reads each night 280 * 1/4
= 70 pages
Ramon should read 70 pages each night to cover 25 percent of the 280-page book over four nights.
Ramon's goal is to read 25% of a 280-page book each night.
To find out how many pages he should read each night,
we can calculate 25% of 280.
First, we convert 25% to a decimal by dividing it by 100:
25% = 0.25.
Next, we multiply the decimal (0.25) by the total number of pages (280):
0.25 [tex]\times[/tex] 280 = 70.
Ramon should read 70 pages each night.
This consistent approach will help him finish the book in four nights while ensuring he comprehends the material thoroughly.
Breaking the reading into manageable portions not only makes it easier to digest the content but also allows him to better retain and engage with the book.
For similar question on percent
https://brainly.com/question/24877689
#SPJ3
What is the correct order for these statements to be placed in the proof above
One characteristic of all linear functions is that they change by
1) equal factors over equal intervals
2) unequal factors over equal intervals
3) equal differences over equal intervals
4) unequal differences over equal intervals
The correct answer is:
3) equal differences over equal intervals
Linear functions exhibit a consistent rate of change over equal intervals, leading to equal differences between successive values of the function. This characteristic is fundamental to understanding linearity.
When graphed, linear functions form straight lines, and the slope of the line represents the rate of change or the coefficient of the independent variable. Regardless of the specific values of the function, the change in output over any fixed change in input (interval) remains constant.
This property is referred to as having equal differences over equal intervals. It contrasts with non-linear functions, where the rate of change varies across the function's domain, resulting in unequal differences over equal intervals.
Identifying and understanding this characteristic helps in recognizing linear relationships and interpreting their behavior in various contexts, from mathematics to real-world applications.
What is margin of error??
Answer:
The margin of error for a sample size of 250 is 6
Step-by-step explanation:
The margin of error is given as
1/square root of the sample size
Thus, margin of error for a sapless size of 250 is
1/√250
= 1/15. 811
= 6
What's the slope for (2,11)(8,0)
find the slope of line through on the points (-8,5) and (-23,2)
Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (2 - 5)/(-23 - (-8))
m = (2 - 5)/(-23 + 8)
m = (-3)/(-15)
m = 1/5
m = 0.2
-------------------
The answer as a fraction is 1/5
In decimal form, this is equivalent to 0.2
To find the slope, use the slope formula and plug in the two points:
(-8,5) = (x₁ , y₁)
(-23,2) = (x₂ , y₂)
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{2-5}{-23-(-8)}[/tex]
[tex]m=\frac{2-5}{-23+8}[/tex]
[tex]m=\frac{-3}{-15}[/tex]
[tex]m=\frac{1}{5}[/tex]
1/2 x (7x-3) x 8
what is this
An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
The constraint of expression is represented as = or <, >.
As per the given expression,
1/2 × (7x - 3) × 8
Multiply 1/2 and 8
⇒ 1/2 × 8 × (7x - 3)
⇒ 4 × (7x - 3)
⇒ 28x - 12
Hence "An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
X3-5X2-24X factor this
Answer:
x(x - 8)(x + 3)
Step-by-step explanation:
take out a common factor of x
= x(x² - 5x - 24)
to factor the quadratic consider the factors of - 24 which sum to - 5
These are - 8 and + 3, thus
= x(x - 8)(x + 3) ← in factored form
Final answer:
To factor X³-5X²-24X, we first factor out the greatest common factor, X, and then factor the resulting quadratic equation, resulting in the factored form X(X-8)(X+3).
Explanation:
The polynomial X³−5X²−24X can be factored by first taking out the common factor of X, which gives us X(X²−5X−24). Next, we need to factor the quadratic equation X²−5X−24. To do this, we look for two numbers that multiply to −24 and add up to −5, which are −8 and 3. Therefore, the factored form is X(X−8)(X+3).
PLEASE HELP I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!
In May, 2018 a store had a furniture with a listed price of $550, having a sales tax of 3% on the listed price. Next month the price increased by 33 1/3%. What sales tax should be paid in dollars on the new price?
Answer:
$22.00 will be paid in taxes on the new amount
Step-by-step explanation:
550 x .3333 = 183.315 (round up to 183.32)
550 + 183.32 = 733.32 is the new price for the furniture
733.32 x .03 = 21.9996 (round up to 22.00)
find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number or decimal
Solve for x. Use the quadratic formula. 3x2+7x+3=0 Enter the solutions, in simplified radical form, in the boxes. x = or x =
Answer:
Step-by-step explanation:
X= (-7+radical 13)/6
X=(-7-radical 13)/6
HELP ASAP!!! WILL GIVE BRAINLIEST!!!!!The equation y = mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for x in terms of y?
To solve the equation y = mx + b for x, subtract b from both sides and then divide by m, resulting in x = (y - b) / m.
Explanation:To solve the equation y = mx + b for x in terms of y, you need to isolate x on one side of the equation. Here’s how you can do it step by step:
Start with the original equation y = mx + b.Subtract b from both sides of the equation to get y - b = mx.Divide both sides by m (assuming m ≠ 0) to solve for x which gives us (y - b) / m = x.Therefore, the equation solved for x in terms of y is x = (y - b) / m.
write an inequality that represents 10 less than four times a number is more than 1000
Answer:
Step-by-step explanation:
Unknown number be 'x'
4x-10>1000
An inequality representing '10 less than four times a number is more than 1000' is written as 4x - 10 > 1000. We rearrange the inequality to solve for x, resulting in x > 252.5, indicating that four times any number greater than 252.5, minus 10, will be more than 1000.
To write an inequality that represents "10 less than four times a number is more than 1000," we need to use an inequality symbol to show the relationship between the expressions involved. The number we are considering can be represented by a variable, typically denoted as x. So, four times a number would be written as 4x. Following this, 10 less than four times a number is expressed as 4x - 10. Now, stating that this quantity is more than 1000, we use the > sign, leading to the inequality 4x - 10 > 1000. To solve this inequality, we can rearrange the terms to isolate x, resulting in the following steps:
Add 10 to both sides: 4x - 10 + 10 > 1000 + 10Simplify the inequality: 4x > 1010Divide by 4 to solve for x: x > 1010/4Thus, the solution to the inequality is x > 252.5This inequality represents that any number greater than 252.5, when multiplied by four and reduced by 10, will result in a value more than 1000.
20 POINTS
Use this graph for questions 1 and 2.
Q1. Select the statement that is true about the graph above.
The function is decreasing from x = -5 to x = 0.
The function is nonlinear from x = -5 to x = 0.
The function is increasing from x = 2 to x = 8.
The function is linear from x = 2 to x = 8.
Q2.Select the statement that is true about the graph above.
The function is increasing from x = -5 to x = 0.
The function is decreasing from x = -5 to x = 0.
The function is linear from x = 0 to x = 2.
The function is nonlinear from x = -5 to x = 0.
Answer:
Q1 The function is linear from x = 2 to x = 8.
Q2 The function is increasing from x = -5 to x = 0.
Step-by-step explanation:
Q1. Select the statement that is true about the graph above.
The function is decreasing from x = -5 to x = 0.
This would mean it is going down from left to right. It is obviously going up. So this is not true.
The function is nonlinear from x = -5 to x = 0.
This would mean it is not a straight line, but it is a straight line so this is not true.
The function is increasing from x = 2 to x = 8.
This would mean it is going up from left to right, but it is going down from left to right so this is not true.
The function is linear from x = 2 to x = 8.
This would mean it is a straight line between 2 and 8. It is true.
Q2.Select the statement that is true about the graph above.
The function is increasing from x = -5 to x = 0.
This would mean it is going up from left to right. It is obviously going up. So this is true.
The function is decreasing from x = -5 to x = 0.
This would mean it is going down from left to right. It is obviously going up. So this is not true.
The function is linear from x = 0 to x = 2.
This would mean it is a straight line, but it is not a straight line so this is not true.
The function is nonlinear from x = -5 to x = 0.
This would mean it is not a straight line, but it is a straight line so this is not true.
IN 1999 THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB. THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES. HOW MAN REGISTERED LABRADOR RETRIEVERS WERE THERE?
Answer:
154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE
Step-by-step explanation:
Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.
Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES
Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.
The statement:
"Fifteen times the number of registered great Danes " means 15x
and
"6997 more than fifteen times the number of registered great Danes" means 15x + 6997
then as per the given statement:
x = 9860 .
To solve for y;
y = 15x+ 6997
Substitute the value of x we get;
[tex]y = 15(9860)+6997[/tex]
Simplify:
y = 154,897
Therefore, the registered Labrador Retrievers were there are; 154,897
The number of registered Labrador Retrievers in 1999 was calculated to be 154897 by multiplying the number of registered Great Danes (9860) by 15 and then adding 6997 to the result.
To determine the number of registered Labrador Retrievers, we need to calculate fifteen times the number of registered Great Danes, then add 6997 to that product. We are given that in 1999, there were 9860 registered Great Danes with the American Kennel Club. Let's do the math:
Multiply the number of Great Danes by 15: 9860 × 15 = 147900.Add 6997 to the product from step 1 to find the number of Labrador Retrievers: 147900 + 6997 = 154897.The number of registered Labrador Retrievers was 154897.
y=-1/3x +1 find a perpendicular line from a point on (3,4)
Answer:
y = 3x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - [tex]\frac{1}{3}[/tex] x + 1 is in this form
with slope m = - [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1/3}[/tex] = 3
y = 3x + c ← is the partial equation
to find c substitute (3, 4) into the partial equation
4 = 9 + c ⇒ c = 4 - 9 = - 5
y = 3x - 5 ← equation of perpendicular line
a copy machine can print 480 copies every 4 minutes how many copies can it print in 10 minutes
10·(480:4)=10·120=1200
Answer:
It can print 1200 copies in 10 minutes.
Step-by-step explanation:
This problem can be solved using a proportion.
Let x be the number of copies that can be printed in 10 minutes.
480 copies = 4 minutes
x = 10 minutes
cross-multiply
4 × x = 480 × 10
4x = 4800
Divide both-side of the equation by 4
[tex]\frac{4X}{4}[/tex] = [tex]\frac{4800}{4}[/tex]
(On the left-hand side of the equation, 4 at the numerator will cancel-out 4 at the denominator, leaving us with just x, while on the right-hand side of the equation 4800 will be divided by 4)
x = 1200 copies.
Therefore, It can print 1200 copies in 10 minutes.
Play a video game that takes 5 minutes and make at least 12 shots that will result in 200 Virtual Coins per shot. If in one hour, a game is played at least 12 games; with an average score of 12 points per game. What will be on average how many VCs earned? How many points received in an hour?
Answer:not enough infoStep-by-step explanation:
Answer: zom me with 2 o's
Id:2478158957
Password: 8xle3l