Consequently, the carpet's price is diversely correlated with its size. Then the cost of the carpet will be $647.82.
What are ratio and proportion?160 square feet of a certain carpet were purchased for $878.40 last week at Abe's carpet shop. The identical carpet, measuring 85 square feet, cost $466.65 at Bob's Carpet.
The cost of carpet per square foot in both cases will be
In the First case, we have
⇒ 878.40 / 160
⇒ $5.49 per square foot
In the second case, we have
⇒ 466.65 / 85
⇒ $5.49 per square foot
Consequently, the carpet's price is directly correlated with its size. Then the equation will be
Cost = 5.49 x Area
Then the cost of the carpet when the area is 118 square feet will be
Cost = 5.49 x 118
Cost = $647.82
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Use dimensional analysis to solve the following conversions. Be sure to show all work and answer with the correct number of significant figures. Please help!!
By using dimensional analysis we find the following two results:
a) 0.30 m = 0.984 ft
b) 150 km / h = 1.554 mi / h
How to use dimensional analysisIn this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:
a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft
b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h
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Which of the following is a true statement?
a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Saving by either option A or option B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.
The true statement is c. Saving by either option A or option B will allow them to meet their goal.
What is a true statement?A true statement can be described as the statement that that the message is been stated or declared which could be in a communication (oral or written) in setting forth particulars or facts.
In this case, we can see that true statement is c. Saving by either option A or option B will allow them to meet their goal this is because we can see a fact from how both option present their words.
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COMPLETE QUESTION:
Option A: Stay with saving the original amount each week but take the class a week later than originally planned.
Option B: Increase the amount of money he saves each week by $15 from his original plan.
What is 4,788 divided by 54?
Answer:
88.7 rounded and 88.66 not rounded
Find the area of the figure. (Sides meet at right angles.)
5 yd
4 yd
2 yd
2 yd
yd
2 yd
4 yd
Answer:
1,024yd
Step-by-step explanation:
a=a to the second,= 32(2)= 1,024
Dave took an exam with 40 questions. He answered 32 correctly. What
was his grade for the exam? Write the grade as a percent.
www
% (Round to the nearest percent as needed.)
Step-by-step explanation:
40 = 100%
1% = 100%/100 = 40/100 = 0.4
how many % are 32 ?
as many % as 1% (0.4) can fit into 32 :
32 / 0.4 = 80%
his grade was 80%.
3x - 5 = -14
What does X equal?
What is the least integer whose square root is an irrational number between 5 and 7? 13 6 25 26
Answer:
26
Step-by-step explanation:
Comment
Irrational means that the number cannot be represented as a fraction. This question means that the square root itself is between 5 and 7. Be careful how you read the question.
That means you have to take the square root of the given number and see where it lands.
√13 = 3.61 which is not between 5 and 7
√6 is going to be even smaller. Not the answer
√25 = 5 The question says between. Not the answer.
√26 = 5.09 which is greater than 5 and and less than 7
this I never got taught, need help bunch of points
Answer:
Absolute value is the distance from 0 all negative numbers become positive and positive stays positive.
Step-by-step explanation:
To two decimal places,
√70
must lie between ____
and _____.
To two decimal places ✓70 just be between 8.36 and 8.37.
How to illustrate the information?It should be noted that we simply have to calculate the information is to find the square root of 70.
Therefore, this is approximately 8.366
Therefore, to two decimal places ✓70 just be between 8.36 and 8.37.
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ITS DUEE TODAY PLEASEDE
Answer:
scale factor from A to B = 3
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original
scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )
6. Please show work pamdas
Answer:
189
Step-by-step explanation:
189 hshwhwjwowoqoqooqpqp
Write an addition equation using numbers to represent
the verbal equation in problem 1.
The addition equation to represent the problem represented on the number-line is given by [tex]-5+8=3[/tex].
The number line is a visual representation of the real numbers along a straight line. Every point on a number-line contains a real number.
The integers that we see on this number line represents the round scores of the game Luis is playing.
At the beginning of second round Luis's team has a score of -5 , but he scored 8 points in the second round.
So the addition equation for representing this particular situation is given by :
Score in round 1 + points scored by Luis in round 2= Score in round 2
So the addition equation :
[tex]-5+8=3[/tex]
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Based on the two equivalent forms of the function h(t)=96t−16t2=t⋅(96−16t),At what time(s) is the ball 50 feet above the ground?
the height will be 50 ft after 0.575 seconds and after 5.424 seconds.
At what time(s) is the ball 50 feet above the ground?The equation that models the height is:
h(t) = 96*t - 16*t^2
Here we want to find the time such that the height is 50ft, then we need to solve the equation:
h(t) = 50 = 96*t - 16*t^2
Now we can solve that for t, we have the quadratic equation:
50 = 96*t - 16*t^2
0 = -16*t^2 + 96*t - 50
Then the solutions are:
t = (-96 ± √(96*96 - 4*(-50)*(-16))/(2*-16)
t = (-96 ± 77.6)/(-32)
The two solutions are:
t = (-96 + 77.6)/(-32) = 0.575t = (-96 - 77.6)/(-32) = 5.424This means that the height will be 50 ft after 0.575 seconds and after 5.424 seconds.
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write 15/7 as a mixed number
The result can be shown in multiple forms.
Exact Form:
15/7
Decimal Form:
2.142857
Mixed Number Form:
2 1/7
------------------------
Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m
------------------------
much love <333 good bye!!
Just like Earth, other planets have
seasons. In fact, Neptune's seasons last
for 40 years! How many days would
winter last? (Hint: A year is 365 days).
Winter would last for 14,600 days
How to calculate the number of days that winter would last ?Planet can be described as celestial bodies that move around the sun. The earth and Neptune are typical examples of planets. There are 8 planets in the solar system.
Other planets have different seasons same way as Earth
Neptune's season last for 40 years
Therefore the number of days that winter would last can be calculated by multiplying the number of years which is 40 by the number of days in a year which is 365
1 year is 365 days
Since it 40 years then we multiply by 365
= 365 × 40
= 14,600
Hence Winter would last for 14,600 days
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SOMEONE HELP PLEASE PLEASE
Answer: Stand A
Step-by-step explanation:
A.
3/4 of a pound is $2
[tex]\frac{4}{3} x=2\\\\\x=\frac{2}{\frac{3}{4} } =\boxed{\frac{8}{3} \ or\ 2.66}[/tex]
Therefore one pound is $2.7 rounded
B.
[tex]\frac{5}{4} x=3.45\\\\x=3.45*\frac{4}{5} \\\\x=\boxed{2.76}[/tex]
Therefore one pound is $2.8 rounded
C.
[tex]\frac{11}{2} x=14.85\\\\x=14.85\times\frac{2}{11} \\\\x=\boxed{2.7}[/tex]
Therefore one pound is $2.7
The stand that sold tomatoes for the least expensive price per pound is Stand A because they sold theirs for $2.66 while the other stands sold them for more.
Denise Cho is a broadcast technician and earns $29.00 an hour with time and a
half for overtime. Last week she worked 40 hours plus overtime. If her total pay
was $1836.38, how many overtime hours did Denise work?
hsksebhssv hnshsnsjdndj ldgehsiw c 3072729 lvwjaiwn sj. +a iwiwirbfhx ska hamd +675196 = $ 20000 solved
The following figure is made of 2 triangles.
7
А
5
B
4
Find the area of each part of the figure and the whole figure.
The area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
What is area?A two-dimensional surface, like the surface of a shape or object, can be measured in terms of area. Usually, it is expressed in square quantities like square metres (m2) or square feet (ft2). By multiplying the length and breadth of a rectangle, or by applying particular formulas for other forms, such as base times height divided by two for a triangle, one can determine the area of a shape.
From the given figure we observe that the base of the slanted figure has true base length of 5 units.
Thus, for triangle B the area is:
Triangle B = 1/2(b)(h)
Triangle B = 1/2(5)(4) = 10 square units.
For triangle A we have:
Triangle A = 1/2(5)(7) = 35/2 = 17.5 square units.
The area of the whole figure is:
A = 10 + 17.5 = 27.5 square units.
Hence, the area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
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how many tablespoons are there in fluid ounces
Answer:
6
Step-by-step explanation:
There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.
The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by the cost equation y2 − 10xy = 200. Evaluate dy dx at x = 1. (Round your answer to two decimal places.)
The value of dy/dx at x = 1 is mathematically given as
dy/dx=5-1.8898i
This is further explained below.
What is the value of dy/dx at x = 1 ?Generally, Given that cost y of producing x gallons ag an implicit evaluation
y^2-10 x y=200
Differentiate the above equation as
[tex]\begin{aligned}&2 y y^{\prime}-10 y-10 x y^{\prime}=0 \\&y^{\prime}(2 y-10 x)=10 y \\&y^{\prime}=\frac{10 y}{2 y-70 x}=\frac{5 y}{y-5 x}\end{aligned}[/tex]
when x=1, substitute in the given equation to get y value
y^2-10 y=200
or
y=5+13.2288i
y=5−13.2288i
y represents the cost and hence cannot be negative Hence practical solution for y is y=5+13.2288i substitute in the ' y ' equation to get [tex]$\frac{d y}{d x}$ at $x=1$[/tex]
when x=13 y=5+13.2288i
Hence
d y/d x at x=1 will be
dy/dx[tex]=\frac{5(5+13.2288i)}{5+13.2288i-5}[/tex]
[tex]dy/dx=\frac{25+66.144}{13.2288i}[/tex]
dy/dx=5-1.8898i
In conclusion, the value of dy/dx at x = 1 i
dy/dx=5-1.8898i
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PLEASE HELP!!!! I am stuck on this question and I need help for all three!!!
Answer:
a. (0, -5)
b. (4, -5)
c. (-5, 0)
Step-by-step explanation:
Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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Determine a series of transformations
that would map Figure U onto Figure V.
i need help asap
Answer:
di ko maintindihan
Step-by-step explanation:
kase ala ako alam jan
The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be
expressed by the equation y = x + 4x. What is a reasonable domain for this function?
O
O
O
O
A y>0
By> 4
C X>0
D X> 2
The reasonable domain for this function is [tex](x > 0)[/tex] .
The collection of all feasible values for the independent variable is referred to as a function's domain.
When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.
Let the width of the rectangle be x units.
Thus as per given information length becomes x+4 units.
It is given, the area of rectangle can be expressed by the equation
[tex]y=x^{2} +4x[/tex]
Now let's find domain of this function.
clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.
Therefore the domain of the function is
[tex](0,\infty)[/tex] or x>0 .
Therefore the domain is given by the thirds option (c) x>0 .
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the difference of a number and eight is four. Find the number.
negative 19 plus the quantity negative 4 and five tenths plus 6 and 87 hundredths end quantity divided by 3 all times 5 squared minus 7 and 3 tenths
19.6
−18.4
31.45
−6.55
Answer:The answer is actually 19.6
Step-by-step explanation:
trust me I did the test
unlike others
Please hurry due today I will give brainlest
Solve for c. a = 11+4b-4c
Answer:
yes i think thats right
Step-by-step explanation:
if not then it might be b
What do you hypothesize about rational numbers with denominators that are prime
numbers?
Answer:
There is no special hypothesis that you can come up with. You could, of course, hypothesize that they are special numbers
Step-by-step explanation:
PLS HELP THANK YOU VERY MUCH
Given AB, explain how to construct a square with sides of length AB.
Answer:
because it is a square, you just need to make a square with the side lenghts all being a or b
Step-by-step explanation:
6 less the quantity 9 times a number
Answer:
6-9x
Step-by-step explanation:
Converted from word to standard form.
Hope it helps!
