Answer:
The answer is below
Step-by-step explanation:
The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.
Firstly we have to convert the model length and width from inches to feet.
1 feet = 12 inches
model length = 1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.
model width = 1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.
Therefore:
Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8
Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8
Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²
Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²
Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64
solve the system of equations using elimanation
-2x+2y=6
4x+2y=-5
Answer:
Your solution is (-11/6, 7/6).
Step-by-step explanation:
-2x + 2y = 6
4x + 2y = -5
Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the 2y's a positive by multiplying each term in the equation by -1.
4x + 2y = -5
-1(4x + 2y = -5)
-4x - 2y = 5
Now we have a new equation in our system.
-2x + 2y = 6
-4x - 2y = 5
Now eliminate by performing each action given by the terms.
-2x + 2y = 6
-4x - 2y = 5
_________
-6x = 11
Divide both sides by -6.
x = 11/-6
Now that we know x, plug it back into one of the original equations to find y.
-2x + 2y = 6
-2(11/-6) + 2y = 6
Multiply.
-22/-6 + 2y = 6
22/6 + 2y = 6
Subtract 22/6 from both sides.
2y = 6 - 22/6
2y = 36/6 - 22/6
2y = 14/6
2y = 7/3
Divide both sides by 2.
y = (7/3)/2
y = 7/6
Your solution is (-11/6, 7/6).
Check your answer by plugging both values into one of the original equations.
4x + 2y = -5
4(-11/6) + 2(7/6) = -5
Multiply.
-44/6 + 14/6 = -5
Add.
-30/6 = -5
Divide.
-5 = -5
Your answer is correct.
Hope this helps!
Decide whether there is enough information to prove that r∥s. If so, state the theroem you would use.
Answer:
C
Step-by-step explanation:
if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel
Find the value of X. If necessary write in radical form
Answer:
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\6^{2} +7^{2} =x^{2} \\\sqrt{85} = x[/tex]
Answer:
sqrt(85) =x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 7^2 = x^2
36+49 = x^2
85 = x^2
Take the square root of each side
sqrt(85) = sqrt(x^2)
sqrt(85) =x
A tutor invited 3 students to a study group. Those 3 students each invited 3 students to the study group. Then those additional students each invited 3 students to the study group. How many total students are invited to the study group?
Answer:21 students
Step-by-step explanation: 3x7=21 students.
Which number are factors of 4? 9,7,6,1 select al that apply
Answer:
1
Step-by-step explanation:
the factors of 4 are 1, 2, 4
1 x 4 = 4
2 x 2 = 4
4 x 1 = 4
A play runs for five evenings. The table shows the number of tickets sold and the amount of money collected each evening.
What is the cost per ticket?
Product of two integers is -6 and There sum is 1
Answer:
3 and -2
Step-by-step explanation:
xy = -6
x + y = 1
let 'x' = y-1
y(y-1) = -6
y² - y + 6 = 0
(y-3)(y+2) = 0
y = 3 and -2
Evaluate the expression when n= 3.
n2+8n+6
Answer:
36
Step-by-step explanation:
A boat is traveling due North at 27mph. A current is flowing at a bearing of 60° west of south at 8mph. Find the actual speed and direction of the boat written in magnitude and direction form.
Answer: [tex]24.02\ mph[/tex]
Step-by-step explanation:
Given
Boat is traveling due to north at [tex]v_{bf}=27\ mph[/tex]
The current is flowing [tex]60^{\circ}[/tex] west of south at [tex]v_f=8\ mph[/tex]
Suppose the actual velocity of boat is [tex]\vec{v_b}[/tex]
In vector notation we can write
[tex]\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}[/tex]
Flow of current can be written as
[tex]\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}[/tex]
Insert the values of vectors
[tex]\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}[/tex]
Magnitude of the velocity is
[tex]=\sqrt{(4\sqrt{3})^2+(23)^2}\\=\sqrt{48+529}\\=24.02\ mph[/tex]
The actual direction and magnitude of the velocity of the boat is the sum of
the velocity of the boat and the velocity of the current both in vector form.
The actual velocity and direction of the boat are approximately 24.02 m/s at a bearing of 16.76° west of north.Reasons:
Direction of the boat = North
Speed of the both = 27 mph
Direction of the current = 60° west of south
Speed of the current = 8 mph
Required:
The actual speed and direction of the boat written in magnitude and
direction.
Solution:
The velocities given in vector form are;
Velocity of the boat, [tex]\vec {v}_{boat}[/tex] = 27·j
60° west of south = 30° south of west
Therefore;
Velocity of the current, [tex]\vec{v}_{current}[/tex] = -8 × cos(30°)·i - 8×sin(30°)·j
The actual velocity of the boat, [tex]\vec{v}_{actual}[/tex] = [tex]\mathbf{\vec {v}_{boat}}[/tex] + [tex]\mathbf{\vec{v}_{current}}[/tex]
Which gives;
[tex]\vec{v}_{actual}[/tex] = 27·j - 8 × cos(30°)·i - 8 × sin(30°)·j
[tex]\vec{v}_{actual}[/tex] = 23·j - (4·√3)·i
Therefore;
[tex]\vec{v} _{actual}[/tex] = -(4·√3)·i + 23·j
Which gives;
[tex]|v_{actual}|[/tex] = √((-4·√3)² + 23²) = √(577) ≈ 24.02
The magnitude of the velocity of the boat, [tex]\mathbf{|v_{actual}|}[/tex] ≈ 24.02 m/s
The actual direction of the boat, θ, is given by the arctangent of the ratio
of the vertical to the horizontal component of the velocity as follows;
[tex]\displaystyle \theta = arctan \left(\frac{23}{-4 \cdot \sqrt{3} } \right) \approx \mathbf{-73.24^{\circ}}[/tex]
Based on the horizontal and vertical component, the above angle θ is
approximately 73.24° relative to the negative x-axis, which is 90° - 73.24° =
16.76° west of north.
Therefore;
The actual direction of the both is on a bearing of approximately 16.76° west of north.Learn more about vector quantities here:
https://brainly.com/question/1614684
Kaitlyn loves to roller skate. Since she skates so much, she decided to buy her own
skates. She looked at several stores and found a pair she liked for $74.79. She has
$193.42 in her savings account. If she takes out the money to buy the skates, how much
money will be left in her savings account?
$268.21
$124.65
$118.63
$256.86
Answer:
118.63
Step-by-step explanation:
Alan’s gift basket contains three oranges for every five apples. If the basket has nine oranges, how many apples does it have?
Answer:
15 apples
Step-by-step explanation:
50 points has to be a new answer NOT from any sites.
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
Answer:
A correlation coefficient shows where one variable changes in results to the other. A line of best fit is the best fit line that passes through or near the graphed data. It is used to describe data and predict where new data will appear on the graph. These two methods help to find correlation between variables as they are used to predict how and where variable are and will go in correlation to one another.
Step-by-step explanation:
6,2, 2/3 Find the 8th term
Answer:
2/729
Step-by-step explanation:
2/3÷3 = 2/9
2/9÷3=2/27
2/27÷3=2/81
2/81÷3=2/243
2/243÷3=2/729
solve for t in d =rt if d =57 and r =30. t=
57 = 30 × t
t = 57/30
t = 19 × 3 / 10 × 3
t = 19/10
t = 1.9
Answer:
t = 1.9
Step-by-step explanation:
Given
d = rt
Substitute d = 57 and r = 30 into the equation
57 = 30t ( divide both sides by 30 )
[tex]\frac{57}{30}[/tex] = t , that is
t = 1.9
what is 2 1/4 equal to
Answer:
2.25
Step-by-step explanation:
divide
Answer:
9/4 or 2.25 Hope this helps
Step-by-step explanation:
A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output. Predictor Coef SE Coef t-ratio p Constant 24157.2 2164.1 2.965 0.046 Mileage -0.181 0.024 5.377 0.000 S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5% Using the computer output, what is the equation of the least-squares regression line?
Answer:
y = - 0.181x + 24157.2
Step-by-step explanation:
Equation of the regression line is given from. The table by the Coefficient of the predictor, x variable and the intercept value :
The predictor here is mileage, which has a Coefficient of - 0.181
The constant value = intercept 24157.2
The regression equation is written in the form :
y = mx + c ; m = slope = Coefficient of predictor, ; x = predictor,
Hence, we have :
y = - 0.181x + 24157.2
Answer:
A.
Step-by-step explanation:
on edge2022
400plus2000minus45000000
A measure that describes the typical value of a data set
a
measure of variation
b
mean absolute deviation
c
statistics
d
range
e
measure of center
f
statistical question
e
measure of center
as A measure that describes the typical value of a data set mean,median and mode.
PLEASEEEE HELLPPPPPPPPP
I NEED ANSWERS AND WORK ON THIS ASAP PLEASE!!!!!
You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?
Answer:
You will pay $13.50 in interest and end up paying $238.50 total after the eight years
Step-by-step explanation:
225 x 0.06 = 13.5
225 + 13.5 = 238.5
Answer:
you pay 108 dollars after 8 years
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me Please
Answer:
The speed of the train is 40 km/h.
Step-by-step explanation:
Since a train travels a distance of 120 km at a constant speed of V km / h, and if the speed is reduced by 10km / h, then the time taken to the journey is increased by one hour, to find the constant speed V of the train, the following calculations must be performed:
20 x 6 = 120
10 x 7 = 140
30 x 4 = 120
20 x 5 = 100
40 x 3 = 120
30 x 4 = 120
Therefore, the speed of the train is 40 km/h.
What is 4 x 2 equal to
Answer:
8 ;)
Thanks for the easy points
Suppose the cost of electricity is $0.30 for each kilowatt-hour. Carlos's house runs on 11.4 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.
Answer:
$3.42
Step-by-step explanation:
the cost = 11.4 × 0.30 = $ 3.42
You flip a coin, spin the spinner, and flip a coin again. Find the probability of flipping heads, spinning an even number, and then flipping heads. The probability is %
Answer:
1/10
Step-by-step explanation:
P heads,even,heads = P heads * P even *P heads =
1/2 * 2/5* 1/2 = 1*2*1/2*5*2= 1/10
Please Help Me With This Problem.
A grocery store receives a shipment of potatoes weighing a total of 180-pounds. The shipment contains six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Write and solve an equation so that you can describe the number of 5-pound bags of potatoes in the shipment. You got this.
Answer:
10(6) + 5x = 180
60 + 5x = 180
- 60 - 60
---------------------
5x = 120
------------
5 5
x = 24
Step-by-step explanation:
The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D
2.
What is the mode of this data set?
14, 79, 77, 11, 14, 78, 77, 65, 31, 56, 16
56
14
11 and 56
14 and 77
Answer:
14
Step-by-step explanation:
Because it occurs the most frequently in the given data set
Answer:
14 and 77
Step-by-step explanation:
I just used a calculator
need he,p pls and thank u
Need help on this ASAP
Answer:
its attatched
A contestant on a game show must choose 2 of 16 boxes. Once a box is chosen, it is removed from the game. Of the 16 boxes, 3 contain money, 5 contain traveling prizes, and 8 are empty. What is the probability that both boxes are empty?
Answer:
7 / 30
Step-by-step explanation:
This is a selection without replacement probability :
Total boxes = 16
With money = 3
With traveling prices = 5
Empty = 8
P(choosing 2 empty boxes) :
P(empty) * P(empty)
P(empty) = Number of empty boxes / total number of boxes
First pick = empty
P(empty) = 8 / 16 = 1/2
Without replacement :
Second pick = empty
P(empty) = 7 / 15
P(choosing 2 empty boxes) = 1/2 * 7/15 = 7 /30