Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?
[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]
Hence, the length of the living room in the scale drawing is of 4/3 ft.
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Answer:
The guy above is right its 4/3
Step-by-step explanation:
Hope this helped!!!
Please correct me if i'm wrong! :D
Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer to a sensible degree of accuracy.
Answer- 200m
: Right now Sam is 200m far from her starting point
HELP PLEASE !!!!!!!!
Answer:
Graph B
Step-by-step explanation:
Point-line graphs are usually used to compare data over a course of time, and bar graphs are more commonly used to compare statistics between different data sets (in this case it is between different countries)
Ammonia, nh3 (delta.hf = –46.2 kj), reacts with oxygen to produce water (delta.hf = –241.8 kj) and nitric oxide, no (delta.hf = 91.3 kj), in the following reaction: 4 upper n upper h subscript 3 (g) plus 5 upper o subscript 2 (g) right arrow 6 upper h subscript 2 upper o (g) plus 4 upper n upper o (g). what is the enthalpy change for this reaction? use delta h r x n equals the sum of delta h f of all the products minus the sum of delta h f of all the reactants.. –900.8 kj –104.6 kj 104.6 kj 900.8 kj
The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ
Data obtained from the question4NH₃ + 5O₂ —> 6H₂O + 4NOEnthalpy of ammonia, NH₃ = –46.2 KJEnthalpy of Oxygen = 0 KJEnthalpy of water, H₂O = –241.8 KJEnthalpy of nitric oxide, NO = 91.3 KJEnthalpy change (ΔH) =?How to determine the enthalpy changeΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)
ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]
ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]
ΔHrxn = –1085.6 + 184.8
ΔHrxn = –900.8 KJ
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Answer:
A: –900.8 kJ
Step-by-step explanation:
Find 3 consecutive positive integers such that the product of the larger 2 is equal to twice the second integer plus twice the sum of all 3 integers
Step-by-step explanation:
x, x+1, x+2 are the 3 consecutive positive integers.
(x+1)(x+2) = 2(x+1) + 2×(x+x+1+x+2)
x² + 3x + 2 = 2x + 2 + 2×(3x + 3)
x² + 3x + 2 = 2x + 2 + 6x + 6 = 8x + 8
x² - 5x - 6 = 0
we can solve this by finding the factoring.
that means we find a, b so that
(x - a)(x - b) = x² - 5x - 6 = 0
because then x = a and x = b are the 2 solutions of the quadratic equation.
we have
x² - ax - bx + ab = x² - (a+b)x + ab = x² - 5x - 6
a+b = 5
ab = -6
that means, either a or b must be 6 and the other -1.
so we get
(x - 6)(x + 1) = 0
x = 6
or
x = -1
since we are only looking for positive integers, the x = -1 solution is invalid, and we get only x = 6 as solution.
therefore the 3 consecutive positive integers are
6, 7, 8
A person works full time and gets paid $1,240 semi-monthly. Determine the annual
income.
With a solution.
At first we should calculate Monthly income by multiplying 2 then After multiplying by 12 to calculate Annual income
Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Answer:
Anything more than $13
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 141°. Find
the value of x.
What is the area of the pentagon, rounded to the nearest tenth?
13.8 cm2
17.3 cm2
32.7 cm2
69.0 cm2
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
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A parasail rider wants to reach the maximum height allowed by the Federal Aviation Administration if the rider's boat is to tow the parachute at 30 miles per hour, how long should the tow line be to reach the maximum flying height? a. Draw and label a diagram to represent this situation. PLEASE HELP
From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.
How else can the maximum height of the parasailer be identified?In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.
If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.
SOH - Sine is Opposite over Hypotenuse
CAH - Cosine is Adjacent Over Hypotenus; while
TOA - Tangent is Opposite over Adjacent.
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A team of 3 QA testers and l QA team lead is working on a project. The team finishes
the job and is paid. The testers receive $1200 each, and the team lead receives S600
more than the average salary of the entire team. How many dollars does the team lead
get?
The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,
The team lead salary:
[tex]\rm x = \dfrac{1200+1200+1200+x}{4} + 600[/tex]
4x = 3600+ x+ 2400
3x = 6000
x = $2000
Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
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(2/3 - 3/4 × 1/8) ÷ (2/3 - 3/4 + 5/8)
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
Solution:First, solve the brackets.
First bracket:
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )[/tex]
[tex] = \frac{55}{96} [/tex]
Second bracket:
[tex]( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
[tex] = \frac{13}{24} [/tex]
Then divide.
[tex] \frac{55}{96} \div \frac{13}{24} [/tex]
[tex] = \frac{55}{52} \: or \: 1\frac{3}{52} [/tex]
answer:
as improper fraction= 55/52
as mixed fraction= 1 3/52
hope this helps
Question 8
Suppose that f and g are functions which are inverse of each other. What happens when f is
composed to g or vice versa?
O The composition is always x.
O The composition is always-x.
O The composition is always 1.
O The composition is always 0.
The composition of the function and its inverse function is always one. Then the correct option is C.
What is the inverse of a function?Suppose that the given function will be
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
(and vice versa).
It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
Suppose that f and g are functions that are inverse of each other.
When f is composed of g or vice versa. Then the composition will be
We know that the composition of the function and its inverse function is always one. Then we get
When f is composed of g or vice versa. Then the composition will be 1.
Thus, the correct option is C.
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Find the coordinates of the midpoint of the line segment with endpoints at ( 6, -7) and (-3,5)
Answer:
Coordinates of the midpoint are ( 9/2 , -6 )
If AD=2:5 the coordinates of point F are. Point E has the coordinates (3.8, -3) and the coordinates of point D are
Using the assumed coordinates of point F, the coordinates of point D are (3,3)
How to determine the coordinates of D?The given parameters are:
Ratio, m : n = 2 : 5
E = (3.8, -3)
The coordinates of point D is calculated using:
[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]
So, we have:
[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]
Evaluate the sum and the products
[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]
Assume the coordinates of point F are:
F = (1.5,18);
The equation becomes
[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]
Evaluate
[tex]D = \frac{1}{7} * (21,21)[/tex]
This gives
D = (3,3)
Hence, the coordinates of point D are (3,3)
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Kegan thought that the solution to this equation might be around 10.
Does that make sense to you?
4x − 20 = 2x + 8
Answer:
x=14
Step-by-step explanation:
collect like terms, like so
Answer:4(x−2)−8=4+2x
Use the distributive property to multiply 4 by x−2.
4x−8−8=4+2x
Subtract 8 from −8 to get −16.
4x−16=4+2x
Subtract 2x from both sides.
4x−16−2x=4
Combine 4x and −2x to get 2x.
2x−16=4
Add 16 to both sides.
2x=4+16
Add 4 and 16 to get 20.
2x=20
Divide both sides by 2.
x=
2
20
Divide 20 by 2 to get 10.
x=10
Step-by-step explanation:
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.
someone please help me and solve for the unknowns and give reasons please
or can you just solve for the unknowns please
Answer:
Step-by-step explanation:
The angles labeled with 2x, 4x, and 3x are on a straight line so their sum is equal to 180
2x + 4x + 3x = 180 add like terms
9x = 180 divide both sides by 9
x = 20
The angle represented with 3x - 30 and the angle represented with 2x + 10 are alternate and their measurement is same
3x - 30 = 2x + 10 export like terms to same side of the equation
3x - 2x = 10 + 30
x = 40
to find the angles replace x with the value found for each.
Find the mean of the data: 125, 15, 30, 110, 70
Answer:
The mean of the data is 70
Step-by-step explanation:
Hope this helps you! :D
Answer:
70
Step-by-step explanation:
Mean-
Add all the numbers to the total = 350
Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)
350/5 = 70
I need help to find the slope of graph.
Answer:
slope m = - [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Write the Inequality shown in the diagram below
Answer:
-1 ≤ x < 3
Hope this helps ;)
Please help me with this
The probability of not picking a red marble is 0.2.
The probability of picking a yellow or green marble is 0.5
The probability of drawing an even number of a number greater than 4 is 1.
The probability of getting heads and an even number is 1.
The probability of drawing a 2 or a 4 is 0.25.
What are the probabilities?Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.
The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles
4/20 = 0.2
The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)
2/20 + 8/20 = 10/20 = 0.5
The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)
5/10 + 5/10 = 1
The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)
1/2 x 3/6 = 1
The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25
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. What number decreased by 5% of itself equals 703?
Answer:
The number is 740
Step-by-step explanation:
Hello!
Let the number that we want to solve for be x.
100% of x is x, but a decrease of 5% if 95% of x.
Solve for x95% of x = 7030.95x = 703x = 703 ÷ 0.95x = 740The number is 740.
Check5% of 740 0.05(740) = 37740 - 37 = 703The solution is correct.
It's consumer math. I need help asap. #1
Answer:
949$
Step-by-step explanation:
You get 460$ the first year, then 488 in the second.
1/5 is 40% of what number
Answer:
8
Step-by-step explanation:
To get a fraction of a number, we will simply multiply this fraction by the number.
Natalia has total assets valued at 7,285 and total liabilities valued at 6,735. What is her net worth?
Natalia Net worth will be 550 having Assets= 7285 and liabilities= 6735
Net worth= 550
What is Assets and Liabilities?
Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.
Given that: Assets= 7285, liabilities= 6735
As we know,
Total Net worth= Total Assets - Total Liabilities
= 7285- 6735
= 550
The Net worth= 550
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Express 0.57 in the form p where p and q are integers o and q # 0
please give with correct step everyone
Answer:
57/100
Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57
pls answer!!! will mark brainliest!! 60 POINTS
The balance of the loan at 14 months= $10,561.25
It would take a total 23 months to pay off the loan.
The total amount of money paid for the car is = $9,052.5
Calculation of loan compounded monthlyThe total loan for the car = $8,500
The rate at which the loan is compounded monthly is
= 6.5%
The monthly payment for the loan = $390
To calculate the balance of the loan at 14 months;Find the simple interest
= P×T×R/100
= 8,500 × 1 × 6.5/100
= 55,250/100
= $552.5
If 12 months = 8,500 + 552.5
14 months = X
make X the subject of formula,
X = 14 × 9052.5/12
X= 126,735/12
X = $10,561.25
To calculate the period of time it will take to pay off the loanThe amount paid monthly = $390
The amount to be paid for the loan with interest = 8,500 + 552.5 = $9,052.5
If 1 month = $390
× month = $9,052.5
Make X the subject of formula,
X = $9,052.5/$390
X= 23 months
The total amount of money paid for the car is already calculated which is through the simple interest
= P×T×R/100
= 8,500 × 1 × 6.5/100
= 55,250/100
= $552.5
Total amount of money paid for the car= 8,500 + 552.5
= $9,052.5
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One thousand unit cubes are fastened together to form a large cube with edge length 10 units; this is painted and then separated into the original cubes. The number of these unit cubes which have at least one face painted is:
Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.
How many cubes will have one face painted on?The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.
The number of unpainted cubes per surface is therefore:
= 10 - 2
= 8 cubes
Number of unpainted cubes is:
= 8 x 8 x 8
= 512 cubes
Number of cubes with one face painted:
= Total cubes - Number of unpainted cubes
= 1,000 - 512
= 488 cubes.
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7513% [tex]\frac{5}{3x^{2} }[/tex] x³ Find the Product Show All work!
[tex]\\ \rm\Rrightarrow \dfrac{7513/100\times 5x^3}{3x^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{75.13(5)x^3}{3x^2}[/tex]
[tex]\\ \rm\Rrightarrow {125.22x}[/tex]
Find the volume of a pyramid with a square base, where the area of the base is 5.5\text{ cm}^25.5 cm
2
and the height of the pyramid is 6.4\text{ cm}6.4 cm. round your answer to the nearest tenth of a cubic centimeter.
Answer:
17.3 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height.
__
The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...
V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³
The volume of the pyramid is about 17.3 cm³.
