The scale of the drawing is 36 inches.
What is the conversion factor?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.So, it is given that the house's driveway is 3 inches wide in the drawing and the actual driveway is 15 feet wide.
As 1 foot = 12 inchesthen, 15 feet = 12(15) inches15 feet = 180 inchesAs 15 feet is 3 inches in drawing that is 15/5 = 3. (Given)Now, 180/5 = 36 inchesTherefore, the scale of the drawing is 36 inches.
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The correct question is given below:
Albert measured a house and its lot and made a scale drawing. The house's driveway is 3 inches wide in the drawing. The actual driveway is 15 feet wide. What is the scale of the drawing? 1 inch: feet
Determine the missing term to make these ratios equal:
13:7 = 39:x
Answer: x = 21
Step-by-step explanation:
13/39 = 7/x
13/39 = 1/3 (divide each side by 13)
1/3=7/x
1/3=7/21 (multiply the numerator by 3 to get the denominator)
Josie earns $10 per hour at her job. Her hours vary, but she never works more
than 30 hours in any given week, as she is still in school. We want to write and
graph a function to show her possible earnings for one week.
What is a reasonable domain and range within the context of this situation?
Answer:
Step-by-step explanation:
Work for 30 hours in a week $10 per hour
The domain and the range for the given situation will be:
Domain = [0, 30]
Range = [0, 300]
Given that Josie earns $10 per hour at her job. Her hours vary, but she never works more than 30 hours in any given week,
We need to find the domain and range.
In this situation, the domain refers to the possible values for the input variable, which is the number of hours Josie works in a given week.
The range, on the other hand, refers to the possible values for the output variable, which is her earnings for the week.
For the domain:
Since Josie never works more than 30 hours in any given week, a reasonable domain for this function would be from 0 to 30 hours. We don't consider negative hours (as it doesn't make sense in this context), and the upper limit is set by her maximum weekly working hours.
Domain = [0, 30]
For the range:
The range should be the possible earnings Josie can make in a week based on her hourly rate of $10 per hour.
To find the range, we multiply her hourly rate by the maximum number of hours she can work in a week, which is 30 hours.
Range = [0, 10 x 30] = [0, 300]
So, the function that represents Josie's possible earnings for one week is:
Earnings = f(hours) = 10 x hours
Where "hours" is the number of hours she works in a week, and "Earnings" is the corresponding amount she earns.
The graph of this function will be a straight line passing through the origin (0, 0) and with a slope of 10, representing her earnings increasing linearly with the number of hours worked.
The line will extend up to the point (30, 300) and then flatten out as she cannot earn more than $300 in a week.
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Name all the line segments that are skew to line segment BF. Select all that apply.
Using it's concept, the skew lines to segment BF are given as follows:
CD, GH, AC, and EG.
What are skew lines?Skew lines are lines that share these two features:
They are not parallel.They do not intersect.For this problem, the parallel lines to BF are:
CG, AE and DH.
The intersecting lines with BF are:
AB, BD, HF, and EF.
Hence the skew lines are:
CD, GH, AC, and EG.
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A 20-pound bag of fertilizer costs $19.60. What is the cost per pound?
Answer:
563$ and me for some change
Step-by-step explanation:
At the school carnival, the soccer team sold hamburgers and hot dogs. a person buying one hamburger and one hot dog will spend $17.65. the soccer team sold 22 hamburgers and 39 hot dogs and made $511.55. how much does each item cost?
The cost of one hamburger and one hot dog = $10.4 and $7.25.
What is a linear equation?a connection between two or more factors that results in a linear model when displayed on a graph. The variable will have a degree of one.
Y = mx + c is the linear equation.
where the line's y-intercept is represented by c and its m-slope by a slope.
x + y = 17.65 ...(1)
22x + 39y = 511.55 ...(2)
22(17.65 - y) + 39y = 511.55
388.3 - 22y + 39y = 511.55
17y = 123.25
y = $7.25
x + 7.25 = 17.65
x = 17.65 - 7.25
x = $10.40
The cost of the hamburger and hot dog will be $10.4 and $7.25
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Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
R(-6,4), S(-2,-2), T(2,4)
The triangle with vertices located at R(-6 , 4), S(-2 , -2), T(2 , 4) has its centroid located at (-2 , 2).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = R(-6 , 4)
Point 2(x2 , y2) = S(-2 , -2)
Point 3(x3 , y3) = T(2 , 4)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-6 + -2 + 2)/3 , (4 + -2 + 4)/3]
C(x ,y) = (-6/3 , 6/3)
C(x ,y) = (-2 , 2)
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a student records the repair cost for 1717 randomly selected tvs. a sample mean of $73.10$73.10 and standard deviation of $16.01$16.01 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.
Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).
What do you mean by the term Repair cost?Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.
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how do i solve this ?
Answer:
Umm where is the question my dude
Evaluate the expression 11-8 on top and on bottom is 1+7•2
Answer:
1/5
Step-by-step explanation:
because 3/15
Hey there!
(11 - 8)/(1 + 7 * 2)
= (3)/(1 + 14)
= 3/15
≈ 3 ÷ 3 / 15 ÷ 3
≈ 1/5
≈ 0.2
Therefore, your answer should be:
1/5 or 3/15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The Nile river is 4,160 miles long.the Amazon river is 25/26 as long as the Nile river.how long is the Amazon river
Step-by-step explanation:
Multiple the ratio by Nile river distance
To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. what type of sampling is used?
To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. The type of sampling is used is "Cluster."
What is a survey?A survey is a technique of gathering information from a sample of people by asking relevant questions with the goal of understanding populations as a whole.
Some key features regarding the survey are-
Surveys are an important source of data and insights for everyone in the information economic system, from businesses to the media to government and academia.For more than a decade, online survey software has been the most popular method of conducting survey research, and because getting faster insights is critical to business success, so much companies are relocating to digital solutions.The selection of a sample is critical for collecting accurate and reliable information about the entire population.Cross-check e - mail addresses against names and addresses and remove duplicates if you're sampling a huge database of customer email addresses and only require one response per household.To know more about the survey, here
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Can someone help me with this. I am really struggling.
Answer
Domain: 1 < x < 5
Range: -10 < y < 2
Step-by-step explanation
First, we need to graph the function. The function is just a linear function, but arranged differently. You can rearrange it to be:
[tex]f(x) = -3x + 5[/tex]
Now graph the function. The slope of it should be -3, and the y-intercept is 5.
To find the domain, just use the relation of the x values given with the function (1 < x < 5).
To find the range, plug the smallest and largest values of the domain into the function given. 1 and 5 should be the numbers you are plugging in. The outputs will be the range. Remember that negative numbers are smaller than positive numbers, so the negative number should be on the left.
I dont understand how to do this.
A/an
someone else for a fee.
is a self-employed person who agrees to work for someone else for a fee
Why is 3/4 greater then 11/16
Answer:
3/4 is greater
Step-by-step explanation:
If you change them both into decimals. You can see that 3/4 is larger
3/4 = .75
11/16 = .6875
Put in your calculator 3÷4 and 11÷16
Answer:
3/4 is larger because
[tex]\frac{3}{4}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{12}{16}[/tex] [tex]\frac{12}{16}[/tex] > [tex]\frac{11}{16}[/tex]
Step-by-step explanation:
When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.
help with intergration
Separate the variables.
[tex]\dfrac{dy}{dx} = x (x - 3) \implies dy = x (x - 3) \, dx[/tex]
Expand the right side.
[tex]dy = (x^2 - 3x) \, dx[/tex]
Integrate both sides. On the right side, use the power rule on each term.
[tex]\displaystyle \int dy = \int (x^2 - 3x) \, dx \implies y = \frac{x^3}3 - \frac{3x^2}2 + C[/tex]
Given that [tex]y=3[/tex] when [tex]x=2[/tex], solve for [tex]C[/tex].
[tex]3 = \dfrac{2^3}3 - \dfrac{3\cdot2^2}2 + C \implies C = \dfrac{19}3[/tex]
Then the particular solution is
[tex]\boxed{y = \dfrac{x^3}3 - \dfrac{3x^2}2 + \dfrac{19}3}[/tex]
Lamont keeps tracks of his math grades by recording them in a table. He wants to keep an average of 90, so he also lists the amount that each grade is above or below 90.
Answer:
a. -11, 97, 6, 87
b. he didn't get over it
Step-by-step explanation:
a. The table shows you the grade in the upper row and in the lower row difference between upper row and 90. So to calculate lower row you need to do X-90 where X is upper row value. To calculate upper row you need to do X+90 where X is lower row value
so you get column 3:
79-90=-11
column 4:
90+7=97
column 5:
96-90=6
column 6:
-3+90=90-3=87
b. To answer this question we would need to simply sum all the values from the Above/Below row for all 6 columns:
-7+4+(-11)+7+6+(-3)= -7+4-11+7+6-3=-4. Since the value is negative it means it's below 90
PLS HELP DUE TODAY 100 PTS
Henry and Emma want to buy a total of 1.5 yards of fabric. the fabric costs $7.32 per yard. how much will each pay if they want to split the cost evenly? $5.49 $2.75 $10.98 $21.96
answer:
a. $5.49
explanation:
1.5 yd x $7.32 = $10.98
$10.98/ 2 people = $5.49
Answer: A. $5.49
Step-by-step explanation:answer:
explanation:
1.5 yd x $7.32 = $10.98
$10.98/ 2 people = $5.49
Solve the question below.
The feet that he descended in 8 hours will be 135168 feet.
How to calculate the value?From the information, it was stated that the the hiker hikes at a rate of 3.2 miles per hour.
Therefore, the number of miles after 8 hours will be:
= 8 × 3.2
= 25.6 miles
It should be noted that 1 mile = 5280 foot
Therefore, this will be:
= 25.6 × 5280
= 135168 feet
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What type of evidence is needed for a hypothesis to be supported or not supported.
Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.
Hypothesis:
Hypothesis is a statement which can be proved or disproved. It is a statement capable of being tested. Based on the results of the test case, we have identified the type of it.
Given,
Here we needed to find the type of evidence is needed for a hypothesis to be supported or not supported.
Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.
Observational evidence is ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it.
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A card is drawn at random from a standard pack of playing cards. then a fair coin is flipped. what is the probability of selecting a 5 and the coin landing on heads?
The probability of selecting a 5 and the coin landing on head is 1/26
In this question, a card is drawn at random from a standard pack of playing cards and fair coin is flipped.
Here, we have two different sample spaces to work with and we want to calculate a compound probability.
Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 5.
So, the probability of selecting a 5 is:
4/52 = 1/13
Also, in a flip of coin the probability of the coin landing on head is 1/2
Thus the probability of selecting a 5 and the coin landing on head would be,
probability of selecting 5 × probability of the coins landing on head
= 1/13 × 1/2
= 1/26
Therefore, the probability of selecting a 5 and the coin landing on head is 1/26
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A yacht is sailed from A to B on a bearing of 196ºT. To sail from B directly back to A the true bearing would be:
If yacht is sailed from A to B on a bearing of 196ºT, the true bearing to sail directly back to point A from point B is 16° T.
To determine the true bearing from point B back to point A, we need to consider the relationship between true bearings and the reciprocal direction.
Given that the yacht is sailed from point A to point B on a bearing of 196° T (True), the reciprocal direction would be the opposite direction, 180° away on the compass.
Thus, to sail directly back to point A from point B, we would need to subtract 180° from the reciprocal direction.
Reciprocal direction - 180°
Therefore, the true bearing from point B back to point A would be:
196° T - 180° = 16° T
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1. Seekor ikan berenang pada kedalaman 25 meter dibawah permukaan air. Kemudian ikan itu berenang naik sejauh 8 meter. Seekor burung bertengger di atas pohon dengan ketinggian 3 meter di atas tanah. Jarak antara burung dengan ikan adalah?
A. 8 meter
B. 14 meter
C. 16 meter
D. 20 meter
2. Seekor cicak berada pada tembok dengan ketinggian 30 meter, lalu tergelincir sejauh 2 setiap menitnya. Berapa meter Cicak setelah 6 menit?
A. 20
B. 19
C. 18
D. 17
Answer:
1.D
2.C
Step-by-step explanation:
1. 25 meter - 8 meter = 17 meter
17 meter + 3 meter = 20 meter
2. 2 × 6 = 12
30 - 12 = 18
(2.3 x 105)(1.5 x 104) in scientific notation plssss ASAP
By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.
Given that,
(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)
By using scientific notation
The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.
Now, we calculate
(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000
(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000
Now,
=230000[tex]\times[/tex]15000
=3450000000
=345 [tex]\times[/tex]10⁷
Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.
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Solve equation.
n+2=-11
To solve the equation, subtract 2 from both sides. The solution is n = -13.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve n+2=-11
The variable is n. Isolate n by subtracting 2 from both sides:
n+2 - 2 = -11 - 2
n = -13 (solved)
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Which letter is at position (1, 3)?
OA. S
OB. M
OC. U
OD. N
Answer:
u has position brobjdidiodd
The president of the Huerta Middle School science club suggested a field trip to the local aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who goes. Write an equation showing how the total cost, y, depends on the number of students going, x.
In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Tickets cost for the club adviser = $21.25
cost for each student who goes = $14.75
Based on the given conditions, formulate x = $21.25 + $14.75
Calculate the sum or difference x = 36
get the result x = 36
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How many lengths of wire, each are 3 7/8 inches long , can be cut from a 25ft roll?
Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77
Given,
The total length of the roll =25 foot
Length of each wire = [tex]3\frac{7}{8}[/tex] inches
First we have to convert mixed fraction to simple fraction
[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches
Convert foot to inches
25 foot = 25×12 =300 inches
Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire
=300÷[tex]\frac{31}{8}[/tex]
=77.41
≈77
Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77
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Becky feeds her cat 55 g of cat food per day. About how many ounces of cat food will she feed her cat in 4 weeks? {1 oz ≈ 28.3 g}
13.6 oz
54.4 oz
1.9 oz
220 oz
The ounces of cat food she will feed her cat in 4 weeks is 54.4 oz
How to determine the number of feet?The given parameters are
1 oz = 28.3 g
1 day = 55 g
For 4 weeks, the amount would be
1 * 7 * 4 days = 55 g * 4
So, we have
28 days = 1540 g
Rewrite as
4 weeks =1540 g
Recall that 1 oz = 28.3 g
So, we have:
4 weeks = 54.4 oz
Hence, the ounces of cat food will she feed her cat in 4 weeks is 54.4 oz
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The supplement of an angle is 26 more than five times its complement. Find the measure of the angle
x = 74 degrees is the angle
Let x = the angle
then
(180-x) is the supplement of x
and
(90-x) is the complement of x:
"The supplement of an angle is 26 more than 5 times its complement."
(180-x) = 26 + 5(90-x)
180 - x = 26 + 450 - 5x
-x + 5x = 26 + 450 - 180
4x = 296
x = [tex]\frac{296}{4}[/tex]
x = 74 degrees is the angle
5 times its complement.
(180-74) = 26 + 5(90-74)
106 = 26 + 5*(16)
106 = 26 + 80; confirms our solution
In elementary geometry , an angle is that the figure formed by two rays, called the edges of the angle, sharing a standard endpoint, called the vertex of the angle. Angles formed by two rays dwell the plane that contains the rays. Angles also are formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves can also define an angle, which is that the angle of the rays lying tangent to the respective curves at their point of intersection.
Angle is additionally used to designate the measure of an angle or of a rotation. This measure is that the ratio of the length of a circular arc to its radius. within the case of a geometric angle, the arc is centered at the vertex and delimited by the edges . within the case of a rotation, the arc is centered at the middle of the rotation and delimited by any other point and its image by the rotation.
Potentially, an angle denoted as, say, ∠BAC, might ask any of four angles: the clockwise angle from B to C, the anticlockwise angle from B to C, the clockwise angle from C to B, or the anticlockwise angle from C to B, where the direction during which the angle is measured determines its sign (see Positive and negative angles).
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