If a scale model of a building is 5 inches wide by 7inches long then the real-life length of the building is 105 feet.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
If the scale of the model is 1 inch : 15 feet, this means that every inch on the model represents 15 feet in real life.
The model is 5 inches wide by 7 inches long.
Let's use the length dimension to find the real-life length of the building:
7 inches on the model represents 7 x 15 = 105 feet in real life.
Therefore, the real-life length of the building is 105 feet.
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Indicate, in standard form, the equation or inequality that is shown by the graph. (0,4)(4,0)
Answer:
standard form y = -x + b.
Step-by-step explanation:
Given : Graph and points (0,4)(4,0).
To find : Standard form of equation .
Solution : We have given that points (0,4)(4,0).
Let [tex]x_{1}[/tex] = 0 , [tex]x_{2}[/tex] = 4
[tex]y_{1}[/tex] =4 , [tex]y_{2}[/tex] = 0.
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Plugging values
Slope = [tex]\frac{0 - 4}{4 - 0}[/tex].
Slope = -1 .
Standard form y = m x + b
y = -1 x + b.
Plug (0,4)
4 = -1 ( 0)+ b
4 = b .
Now , plugging values b= 4 , m = -1.
y = -x + b.
Therefore, standard form y = -x + b.
Gary mails 10 to 3 power flyers to clients in one week. How many flyers does Gary mail
You are making bouquets to sell. You have 60 roses, 84 daisies, and 24 lilies. Each bouquet will have the same number of each kind of flower. You want to use all of the flowers. What is the greatest number of bouquets you can make?
Answer:
you can make 12 bouquets...each containing 5 roses, 7 daisies, and 2 lilies
Step-by-step explanation:
what else would need yo be congruent to show that EFG HIJ by SSS ?
how much chocolate with each person get if 3 people share 1/2 lb of chocolate equally
(-2)^2-(-8)*[(-2)-(-10)]
Linda made $238 for 17 hours of work.
At the same rate, how many hours would she have to work to make $168?
Sue surveyed the students at her school to find out if they like sandwiches and/or tacos. The table below shows the results of the survey: Like Sandwiches Do Not Like Sandwiches Total Like Tacos 43 7 50 Do Not Like Tacos 27 23 50 Total 70 30 100 If a student likes sandwiches, what is the probability that student also likes tacos? 43% 61.4% 71.4% 86%
Answer:
61.4%
Step-by-step explanation:
There are a total of 43+27 = 70 students that like sandwiches.
Out of these, 43 also like tacos; this is
43/70 = 0.614 = 61.4%
a relationship is linear if it has a(n) (negative, positive, constant, or undefined) rate of change.
Answer:
first one is (constant)
second answer is (slope)
the third answer is 2
Step-by-step explanation:
What is the transformation shown in the graph?
90° rotation
180° rotation
270° rotation
reflection
Which statement belongs in the Perimeter section of the Venn Diagram?
A.The distance around a closed figure
B.The space or region of a closed figure
C.Base and altitude is found
D.Measured in units squared
A. The distance around a closed figure is the correct answer.
Explanation:
The definition of perimeter is : The summation of the outer sides of any closed figure. Like in a rectangle, its the sum of all the four sides. In a circle, its the measure of the outline of the circle also called the circumference.
Hence, the distance around a closed figure is called its perimeter.
Solve the formula for the perimeter of a rectangle with width w and length l,for the length P=2w+2l solve for l
Answer:
[tex]l=\frac{P}{2}-w[/tex]
Step-by-step explanation:
we know that
The formula for the perimeter of a rectangle is equal to
[tex]P=2(w+l)[/tex]
where
l is the length
w is the width
Solve for l
That means ----> Isolate the variable l
Divide by 2 both sides
[tex]\frac{P}{2}=\frac{2(w+l)}{2}[/tex]
Simplify right side
[tex]\frac{P}{2}=w+l[/tex]
Subtract w both sides
[tex]\frac{P}{2}-w=w+l-w[/tex]
Simplify right side
[tex]\frac{P}{2}-w=l[/tex]
Rewrite
[tex]l=\frac{P}{2}-w[/tex]
Answer:Solve P = 2l + 2w for w.
The first step is to isolate the variable term, 2w.
Step-by-step explanation:
what is the value of x if 46=6x-2
Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1) T' (–1, –6) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
Answer:
B I took the test and got it right
Step-by-step explanation:
Jim earned $140 during the summer doing chores. He bought 2 sets of pens worth $25 each using his chore money. How much money was left after he bought the pen sets?
25 x 2 = 50
140-50 = 90 dollars left
(06.04 LC)
If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)
Best answer will get BRAINLIEST!!!
Multiply (x – 4)(x2 – 5x – 6).
What is 8.478 in expanded notaion
One of two complementary angles is 8 degrees less than the other.
Which of the following systems of equations represents the word problem?
x + y = 90 and x - y = 8
x + y = 90 and 90 - x = 8
x + y = 90 and y = 8x
Answer: The correct option is
[tex](A)~~x+y=90,~~x-y=8.[/tex]
Step-by-step explanation: Given that one of the two complementary angles is 8 degrees less than the other.
We are to select the correct system of equations represents the given word problem.
Let x and y represents the two complementary angles where y is less than x.
Since one angle is 8 degrees less than the other and y is less than x, so we have
[tex]x-y=8.[/tex]
We know that the sum of two complementary angles is 90 degrees, so we get
[tex]x+y=90.[/tex]
Thus, the required system of equations representing the given word problem will be
[tex]x+y=90,\\\\x-y=8.[/tex]
Option (A) is CORRECT.
which system of linear inequalities has the point (2 ,1) in its solution set?
Answer:
its the last one number 4
Step-by-step explanation:
The system of linear inequalities that includes the point (2, 1) in its solution set is y ≥ 2x - 3 and y ≤ -2x + 5.
Explanation:The system of linear inequalities that has the point (2, 1) in its solution set can be represented by the inequalities:
y ≥ 2x - 3y ≤ -2x + 5To determine if the point (2, 1) satisfies these inequalities, we can substitute the x and y values into each inequality and check if the resulting statements are true. In this case, 1 is indeed greater than or equal to 2(2) - 3, and 1 is also less than or equal to -2(2) + 5, so the point (2, 1) is indeed in the solution set of this system of linear inequalities.
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8 men and 6 women arrive separately in a random fashion to a meeting. What is the probability that the first 4 people to show up are men?
First, you add 8 and 6 which will be 14. Since it's asking for the first four, it would be 4 over 14.
You can reduce that which is always a good idea and it comes out to be 2 over 7. That because you would divide both the top and bottom (like usual) by 2 each.
If you would want it as a percent, you would turn it into a decimal first. The decimal would be .02857. That's of course if you divide 2 and 7 like normal.
From there you would move the decimal point over two places making it 28.57 percent.
Hope this helps!!
What are the factors of 60a
Answer:
20
Step-by-step explanation:
Please Help!! find the solution of this system of equations 2x - 2y= -38 -5x - 4y= 23
y = 72.
Solving the System of Equations
To find the solution of the system of equations given by 2x - 2y = -38 and -5x - 4y = 23, we can use the method of elimination or substitution. In the method of elimination, we can multiple the first equation by 2 to make the coefficients of y the same, which would give us 4x - 4y = -76. Then, we could add this new equation to the second given equation (-5x - 4y = 23) to eliminate the y variable:
4x - 4y = -76 (First equation multiplied by 2)
-5x - 4y = 23 (Second given equation)
Adding these equations together, we get:
-1x + 0y = -53
or simply
-x = -53, from which x = 53.
Next, we can substitute x back into either of the original equations to solve for y. For example, using 2x - 2y = -38:
2(53) - 2y = -38
106 - 2y = -38
-2y = -38 - 106
-2y = -144
y = 72
Therefore, the solution to the system of equations is x = 53 and y = 72.
Tara makes the following statement: "There is a 70% chance of sunny weather tomorrow and a 60% chance I will go to the beach." What is the probability that it will be sunny tomorrow and Tara will go to the beach? 42% 22% 11% 13%
Answer:
The probability is 42%
Step-by-step explanation:
The probability that A and B, two independent events, happens is given by:
P=P(A)*P(B)
In this case, lets call A the event in which there are sunny weather tomorrow and B the event in which Tara goes to the beach. Taking into account that they are independent, that means that one event doesn't affect the other, the probability P that it will be sunny tomorrow and Tara will go to the beach is:
P=0.7*0.6=0.42
Multiplying P by 100, we get:
P=42%
So, the probability that it will be sunny tomorrow and Tara will go to the beach is 42%
I need help with this question
Four more than half of a number is at least nine. What is the number ?
Suppose that 19 inches of wire costs 57 cents.
At the same rate, how much (in cents) will 14 inches of wire cost?
HELPZZZZZZZZZZZ PLZZZZZZZZZZZZZZ!!!!!!!
K(-5,-2), M(5,4), S(-3,6), T(3,-4)
Solve for x
3x + 3 − x + (−7) > 6