The scale model door of 2.4 inches is 9.3 ft tall in the actual building.
What is scaling?By scaling, we can create a drawing of an object that corresponds to the object's true size. In geometry, scaling refers to either growing or reducing figures in order to preserve their fundamental shape.
What is cross-multiplication?By multiplying the numerator of one fraction by the denominator of another and the first term's denominator by the numerator of another, we can do cross multiplication.
Given that:
16 inches = 62 ft
2.4 inches = x ft
To calculate the actual value cross multiply the values:
[tex]x= \frac{(62)(2.4)}{16} \\\\x= 9.3 ft[/tex]
Hence, the actual door is 9.3 ft tall.
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The system Px + Qy = R has the solution (3,-1), where F, G, H, P, Q, and
Fx + Gy = H
R are nonzero real numbers.
Select all the systems that are also guaranteed to have the solution (3,-1)
a.) (P + F)x + (Q + G)Y = R + H
Fx + Gy = H
b.) (P + F)x + Qy = R + H
Fx + (G + Q)y = H
c.) Px + Qy = R
(3P + F)x + (3Q + G)y = 3H + R
d.) Px + Qy = R
(F - 2P)x +(G - 2Q)y = H - 2R
e.) Px + Qy = R
5Fx + 5Gy = 5H
*Please explain how you got your answer because I really don't understand this!
Answer:
The systems that are guaranteed have the solution (3, -1) are;
a.) (P + F)·x + (Q + G)·y = R + H
F·x + G·y = H
d.) P·x + Q·y = R
(F - 2·P)·x + (G - 2·Q)·y = H - 2·R
e) P·x + Q·y = R
5·F·x + 5·G·y = 5·H
Step-by-step explanation:
The given system of equation are;
a) P·x + Q·y = R...(1)
F·x + G·y = H...(2)
The solution of the system of equation = (3, -1)
Adding equation (1) to equation (2) gives;
P·x + Q·y + F·x + G·y = R + H
(P + F)·x + (Q + G)·y = R + H...(3)
Therefore, given that equation (3) is obtained from equation (1) and (2) by addition, equation (3), (P + F)·x + (Q + G)·y = R + H, we have;
The system of equation;
(P + F)·x + (Q + G)·y = R + H
F·x + G·y = H, derived from the given system of equation Is bound to have the same same solution (3, -1) as the given system of equation
d.) By multiplying equation (1) by 2, we have;
2 × (P·x + Q·y) = 2 × R
2·P·x + 2·Q·y = 2·R...(4)
Subtracting equation (4) from equation (2) gives;
F·x + G·y - (2·P·x + 2·Q·y) = H - 2·R
F·x - 2·P·x + G·y - 2·Q·y = H - 2·R
(F - 2·P)·x + (G - 2·Q)·y = H - 2·R
Therefore, for the following system, obtained from the original system, we have that the solution is (3, -1);
P·x + Q·y = R
(F - 2·P)·x + (G - 2·Q)·y = H - 2·R
e) For the system of equation, we have;
P·x + Q·y = R
5·F·x + 5·G·y = 5·H
The above system of equation is obtained from the original system by multiplying equation (2) by 5, therefore the solution of the system P·x + Q·y = R, 5·F·x + 5·G·y = 5·H is the same as the solution for the original system of equations (3, -1).
If tomato juice, with a pH of 4.2, is 75 times as acidic as milk, what is the pH of milk?
Answer:
0.056
Step-by-step explanation:
75 / T4.2= 0.056
What is the LCM of 72, 96and 160
“Theresa’s Transportation” rental car company charges $30 to rent a car and $0.60 per mile for each rental. “Pete’s propulsions” rental car company charges $20 to rent a car and $0.85 per mile. After how many miles will it be more expensive to rent from Pete’s Propulsions than Theresa’s Transportation
On solving the provided question, we got to know that he fraction can bake 200/57 loaves or 3 29/57 loafs.
what is fraction?Mathematically speaking, fractions are represented by integers that indicate a portion of a whole. In the same way that a whole can be any quantity, value, or object, a fraction can be a portion or subset of any quantity of a whole. As an example, let's try to comprehend this idea. The pizza in the picture below is cut into 8 equally sized pieces. The chosen slice of pizza might now be expressed as 1/8 if we wanted to. This indicates that we are talking about one of eight equally sized sections. It denotes a ratio of 1/8. Reading options include: One-eighth, or
1 by 8
13 1/3 divided by 3 4/5
Let's first convert these mixed numbers to incorrect fractions.
13 1/3 = 13(3) + 1 = 39 + 1 = 40/3
3 4/5 = 3(5) + 4= 19/5
Now that we have divided 40/3 by 19/5, we can just switch the operation to multiplication and flip the second fraction because we know how to divide fractions.
40/3 x 5/19 = 200/57
he can bake 200/57 loaves or 3 29/57 loafs.
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How do you find the 3 side of a triangle?
Answer:
by using sine rule and cosine rule.
the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³
The length of the cuboid is 56 cm.
The breadth of the cuboid is 40 cm.
The height of the cuboid is 16 cm.
What is a cuboid?A cuboid is a three-dimensional shape where the volume is given by
Length x width x height.
We have,
Volume of a cuboid = 35840 cm³
The ratio of length, breadth, and height of the cuboid = 7:5:2
This means,
Length = 7x
Breadth = 5x
Height = 2x
Now,
(7x)(5x)(2x) = 35840
70x³ = 35840
x³ = 512
x = ∛512
x = 8
Now,
Length = 7x = 7 x 8 = 56 cm
Breadth = 5x = 5 x 8 = 40 cm
Height = 2x = 2 x 8 = 16 cm
Thus,
The length, breadth, and height of the cuboid are 56cm, 40cm, and 16 cm.
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Y’all please help my mind isn’t working please
Answer:
Step-by-step explanation:
To find values of y we substitute values of x in the given expression so when x = 0
y = (0)^2 - 6(0) + 3
= 3.
x = 1, y = 1^2 - 6(1) + 3 = -2
x = 3, y = 3^2 - 6(2) + 3 = 0.
Use these values to draw the graph
(a) Read this from the graph
Coordinates of the minimum should be 3, -6)
(b) Equation of the line of symmetry is the vertical line through the minimum point ( x = 3).
(c) Read these from the graph.
(the points where the graph cut the x-axis).
(d) and e - read the values from your graph.
A saw mill cuts boards that are 16 ft long. After they are cut, the boards are inspected and
rejected if the length has a percent error of 1. 5% or more. The saw mill also cuts boards that are 10, 12, and 14 feet long. An inspector rejects a board that
was 2. 3 inches too long. What was the intended length of the board?
Some acceptable board lengths are: 15.8 ft, 16.20 ft and 16.10 feet
Some board lengths to reject are: 14.8 ft, 17.20 ft and 12.10 feetThe intended lengths are 10.19, 12.19 and 14.19 feetNow, According to the question:
Board lengths that should be accepted
From the question, we have the following parameters that can be used in our computation:
Length = 16 ft
Percent error = 1.5%
This means that the acceptable lengths are
Acceptable = Length ± Percent error * Length
Substitute the known values in the above equation, so, we have the following representation
Acceptable = 16 ± 1.5% * 16
So, we have
Acceptable = 16 ± 0.24
Evaluate
Acceptable = 15.76 to 16.24
Some board lengths that should be accepted are 15.8 ft, 16.20 ft and 16.10 feet
Board lengths that should be rejected
In (a), we have
Acceptable = 15.76 to 16.24
Some board lengths that should be rejected are 14.8 ft, 17.20 ft and 12.10 feet
The intended lengths of the boards
Here, we have
Lengths = 10, 12 and 14 feet
Length too long = 2.3 inches
Convert to inches
Length too long = 0.19
So, we have
Intended lengths = (10, 12 and 14 feet) + 0.19
Evaluate
Intended lengths = 10.19, 12.19 and 14.19 feet
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I need the answer to this ASAP.
Answer:
1/3 and 5/7. that's number one I think
y=1200(1+.3)⁶ whats the intial value what the growth rate. what does 6 represent
Answer:
y=1200(1+.3)⁶
initial value =
y=5792.1708
6 represent time.
Answer:
msm555 is correct
hope it's help you
have a good day
An administrator of a large middle school is installing some vending machines in the school.
She wants to know what type of machine would be most popular.
a. What is the population for the administrator's question?
b. Give an example of a sample the administrator could use to help answer her question.
2 members of the 5-member math study group will present their project to the class. How many combinations of 2 members are possible from the 5-member study group?
Answer:
2
Step-by-step explanation:
(,)=?
(,)=(5,2)
=5!(2!(5−2)!)
=5!2!×3!
= 10
Is the inverse of every linear function also a function?
In most cases, the inverse of a linear function is also a linear function.
What is a linear function?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.
Here, stands for the line's gradient and b for the y-axis intercept (which is sometimes called the vertical intercept).
These functions' graphs are mirror images of one another when viewed along the line y=x.
As a result, the points on the graph of f(x) are the points on the graph of f(x) that have been turned around.
A linear function's inverse is typically also a linear function.
Therefore, in most cases, the inverse of a linear function is also a linear function.
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5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent
Answer:
The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:
Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)
Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)
Hope this helps!
Step-by-step explanation:
1. What value of x makes the equation 6x - 14+ 3(2x - 1) = 5 - 2(x - 10) true?
yeet this is a thicc problem...
6x - 14 + 3(2x-1) = 5 - 2(x-10)
first expand
6x - 14 + 6x -3 = 5 -2x-20
now put constants and variables on either sides of the thingamajig
6x+6x+2x= 5 - 20 + 3 + 14
14x = 2
x = 1/7
i deserve an award for that XD
The value x = 3 makes the given equation true.
Important information:
The given equation is [tex]6x-14+3(2x-1)=5-2(x-10)[/tex].Equation:The given equation can be written as:
[tex]6x-14+6x-3=5-2x+20[/tex]
[tex]12x-17=-2x+25[/tex]
Isolate the variable.
[tex]12x+2x=25+17[/tex]
[tex]14x=42[/tex]
[tex]x=\dfrac{42}{14}[/tex]
[tex]x=3[/tex]
Therefore, the required value of x is 3.
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Fractions
Malik and his friends ate 1.
1
--
4
pepperoni pizzas, 2 cheese pizzas, and
2
--
3
of a vegetarian pizza.
a) How many pizzas did they eat?
b) How many more cheese pizzas than
vegetarian pizzas did they eat?
a) The total amount of pizzas that they ate is given as follows: 2.92 pizzas.
b) The difference between the number of cheese pizzas and the number of vegetarian pizzas is given as follows: 4/3, which is the amount that they ate more of cheese pizzas than vegetarian pizzas.
How to obtain the amounts?The fractions relative to the amount of each type of pizza eaten are given as follows:
Pepperoni pizza: 1/4.Cheese pizza: 2.Vegetarian pizza: 2/3.The total amount of pizzas eaten is given by the addition of these fractions, hence:
1/4 + 2 + 2/3 = 3/12 + 24/12 + 8/12
(as the least common factor between 4, 1 and 3 is of 12).
3/12 + 24/12 + 8/12 = (3 + 24 + 8)/12
(3 + 24 + 8)/12 = 35/12
2.92 pizzas.
The difference between the number of cheese pizzas and the number of vegetarian pizzas is obtained as follows:
2 - 2/3 = 6/3 - 2/3 = 4/3.
(as the least common factor of 1 and 3 is of 3).
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A school fundraiser sells 1,200 raffel tickets each ticket costs 2 there is one grand prize worth 100 and 5 smaller prizes 20each what is the excpeted gain or loss for buying 1 ticket
What is the solution to the equation 9 W 4 )- 7w 5 3w 2?
The solution to w in the equation 9(w - 4) - 7w = 5(3w - 2) is w = -2.
Now, According to the question:
The given Equation:
9(w-4)-7w=5(3w-2)
To solve for w we first need to simplify our equation, removing any brackets and adding together similar terms. This gives us:
9(w-4)-7w=5(3w-2)
9w - 36 -7w = 15w - 10
2w - 36 = 15w - 10
Next, we subtract 2w from both sides to have all the variables on one side of our equation, then we add 10 to both sides to move the numerical values to one side.
2w - 36 = 15w - 10
2w -2w - 36 = 15w - 2w - 10
-36 = 13w - 10
-36 + 10 = 13w - 10 + 10
-26 = 13w
Finally, we divide both sides by 13 to find the value of w.
w = -2
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The complete question is this :
What is the solution to the equation of 9(w - 4) - 7w = 5(3w - 2).
BRAINIEST TO WHOEVER RIGHT
Answer:
Step-by-step explanation:
what is the vertex of this graph?
Is the vertex a minimum or a maximum?
Answer:
Maximum
Step-by-step explanation:
Answer:
(-2, -3)
Maximum
Step-by-step explanation:
The vertex of a parabola is the highest or lowest point,
(-2, -3)
Maximum
Solve for c.
c2−9=b2
Answer:
Step-by-step explanation:
Let's solve for c.
c2−9=b2
Step 1: Add 9 to both sides.
c2−9+9=b2+9
c2=b2+9
Step 2: Take square root.
c=√b2+9 or c=−√b2+9
Answer:
c=√b2+9 or c=−√b2+9
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
13 is x, 9 is y
Step-by-step explanation:
27/3, 30-4/2
Answer:
x=17
y=9
Step-by-step explanation:
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
The Answer is A. 8
Explanation:
For Answer Choice A:
There's nothing to explain here. It's just the number 8.
For Answer Choice B:
2 · 2 · 2 · 2 is 16. That symbol ( · ) is another way of writing the multiplication symbol. So this problem is essentially 2 x 2 x 2 x 2, which equals 16.
For Answer Choice C:
Well, this one needs no explanation either. It's just the number 16.
For Answer Choice D:
[tex]2^{4}[/tex] is also equal to 16. I'm too lazy to explain how to do this one so yea.
Hope this helps you. Uh, yea. Have a good day? omg I'm so tired
What is the volume of the prism?
14 m3
24 m3
30 m3
44 m
Answer:
the answer is 24 m3
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman, sophomore, junior, and senior classes to complete the survey. This plan is an example of which type of sampling
This method is used when the population has distinct subgroups.
The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.
In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.
This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.
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how many solution do the following equation have 3x-16+3x=9x+29
Answer:
-15
Step-by-step explanation:
3x-16+3x=9x+29
3x+3x-16=9x+29
6x-16=9x+29
6x-9x-16=29
-3x-16=29
-3x=29+16
-3x=45
x=45/-3
x=-15
Sadie just got a new puppy. She is supposed to feed it 250 grams of food every day. She wants to buy enough food to last three weeks. How many kilograms of dog food does she need to buy?
Can 30 60 and 90 be the angles of a triangle?
No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.
The sum of the angles of a triangle must always add up to 180 degrees. To determine if a set of angles can form a triangle, add the angles together. If the sum is 180, the angles can form a triangle. In this case, 30 + 60 + 90 = 180, which does not equal 180. Therefore, these angles cannot form a triangle.
No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.
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The cost of a smartphone is $199. A newer model costs 10% more. Which choice is closest to the sale price of the newer model after a 20% discount? *
Answer:
$199 + 10% - 20% = $175. 12
hope this helped
Step-by-step explanation:
[need some help! will give brainlist!]
Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).
It can be written in standard form as [tex]5x^2-2+3[/tex] and the degree of polynomial is 2 with leading coefficient as 2.5.
How do you format a standard form of writing?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.
What are some terms examples?The values on which mathematical operations take place in an algebraic expression are known as terms in mathematics. Let's explain with the help of a term example. This algebraic expression has terms 8x and 9, respectively.
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