Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:
11 inches = 0.916 feet 11 / 0.916 = 12 7 inches = 0.583333 feet 7 / 0.5833333 = 12 Thus, the initial scale is 1:12. 33 / 0.916 = 36
Therefore, the scale factor went from 1:12 to 1:36.
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Answer:
2ft/3ft
Step-by-step explanation:
The Peyton family stayed in a hotel room for 5 nights while on vacation. The total cost before tax was $1,075. If the hotel room tax rate in the city is 14%, what was the total cost for the hotel room?
Answer:
1225.50
Step-by-step explanation:
14% of 1075 =0.14 x 1075=150.5
1075 +150.5 = 1225.5
The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The total cost before tax was $1,075.
The tax rate is 14%
14% of $1075 will be,
(14/100)1075 = $150.5
Total cost includes tax = $1075 + $150.5 = $1225.50
Hence "The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50".
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the sum of person x and person y is 2640. if person x's income is 20% more than person y, find person x's income.
please answer fast fast plssssss as soon as possible
Answer:
I do not understand she question do you mean the sum of their income is 2640
if so, then the answer is 440 to be x income
Step-by-step explanation:
x income = 20% or 1/5 of y income
y income = 5 of x income
we know that the sum of their income = 2640
which means that
x + y = 2640 =
1/5y + y = 2640
6y/5 = 2640
cross multiply to give us
6y = 5(2640)
6y = 13200
divide through by 6 to give us,
6y/6 = 13200/6
y = 2200
since we know that x income is 20% y income,
therefore, x income =
20/100 * 2200
= 440
therefore,
x income = 440
y income = 2200
Answer:
1440Step-by-step explanation:
The equations to reflect the given:
x + y = 2640x = y + 20% ⇒ x = 1.2ySubstitute the value of x into first equation and solve for y:
1.2y + y = 26402.2y = 2640y = 2640/2.2y = 1200Find x:
x = 2640 - 1200 = 1440PLEASE HELP I"M ON A TIMER!!!!!!
Δ RST ≅ ΔLMN
What are the values of m∠R and LM?
Enter your answers in the boxes.
I will mark BRAINLIEST!!!
Answer:
R=30 degrees Lm=6(square root of 3)
Step-by-step explanation:
R=L
LM=SR
A number is 6 times another number and their sum is 28.what are the two numbers
Answer: Let the 2 numbers be x and
sum of two numbers is 28....Eq 1: x + y = 28
sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2: 6x + 3y = 105
Rearrange Eq 1 to solve for x.
x + y = 28
x = 28 - y --> Substitute into Eq 2, you get
6(28 - y) + 3y = 105
168 - 6y + 3y = 105
-3y = -63
y = -63 / -3 = 21
Now solve for x using Eq 1.
x = 28 - y = 28 - 21 = 7
hope it helped
Step-by-step explanation:
5/6+(-4/9)-(-2) help please
Answer:
43/18
Step-by-step explanation:
Hope this helps
Answer:43/18 or 2 7/18 or 2.38
Step-by-step explanation:5/6-4/9+2
someone to give me the answer to this ...? please!
Answer:
1.
a. x = 2
b. x = 6
c. x = 5/4 or 1.25
2. You have to do it on your own. sorry!
3. slope = +3
4. y = 1/3x + 4
5. y = 2x + 3
6. pattern = +8
39, 47, 55
7.You have to do it on your own. sorry!
8. You need a protractor so I am guessing
a.60*
b.95*
c.145*
Step-by-step explanation:
Have a nice day! :-)
Find an equation of the straight line that is perpendicular to the straight line x+2y=5 and that passes through the point (3,7)
Answer: y = 2x + 1
Step-by-step explanation:
Rewrite the equation in standard form:
x+2y=5
2y = -x + 5
y = -(1/2)x + (5/2)
A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here. The new slope would be 2. The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:
y = 2x +b
We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.
7 = 2*3 + b
b = 1
The perpendicular line is y = 2x + 1, and goes through point (3,7)
The bus fare in a city is $2. People who use the bus have the option of purchasing a monthly discount pass for $39. With the discount pass, the fare is reduced to 0.50. Using this information, complete parts
Answer:
ANSWER. 18 times.
Step-by-step explanation: I think so
Volume of this prism
Answer:
188cm³
Step-by-step explanation:
5. Find the measure of the missing angle.
40°
50°
Step-by-step explanation:
40° + 90° + ? = 180°
130° + ? = 180°
? = 180° - 130°
? = 50°
Answer: 50 degrees
Step-by-step explanation: The interior angles add up to 180.
1. 40 + 90 + ? = 180
130 + ? = 180
-130 - 130
? = 50
The ratio of hotdogs to hamburgers sold at the picnic was 3:4. If 98 dinners were sold, how many were hamburgers?
Answer:
56 Burgers
Step-by-step explanation:
First, add the 3 + 4 for a total of 7, because the total of the ratio will equal the total amount of "the dinners sold".
Then divide 98/7, which will give you 14.
Then in the ration 3:4, 4 represent burgers so multiply 14 x 4.
Which gives you 56 burgers.
Hope This Helps
How do I get the x and y intercepts to graph this equation?
Y=-1/2x-3
Answer: x intercept is (-6,0) and y intercept is (0,-3)
Step-by-step explanation: the y intercept is when x=0. the x intercept is when y=0.
to solve this for the y intercept, we set x=0 in the equation y=-1/2x-3. so it would be y=-1/2(0)-3 therefore y= 0-3 and y=-3. the y intercept is (0,-3)
to solve for the x intercept, we set y=0. we plug it into the equation y=-1/2x-3 so 0=-1/2x - 3. this means we can change the sign of -1/2x from negative to positive and move it to the other side. so 1/2x=-3 to solve for x, we divide both sides by 1/2 so x=-6. so the x intercept is (-6,0)
find the non perfect square number in between 21² and 22²
Answer:
So, the non-perfect square number between 21 and 22 is 42.
Step-by-step explanation:
Points cause i need help with math! so here u go and thanks everyone for the math help!!! here is my gratitude lol!
Answer:
the systems of equations corresponding to the given solutions, in order
Step-by-step explanation:
How would the possible x values change if
Samantha had to pay $7.50 each month instead of
$15 every two months? How would the graph
change?
If three dice are rolled, what chance is there
of throwing a total of 3?
Answer:
Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6n outcomes.
We can also consider the possible sums from rolling several dice. The smallest possible sum occurs when all of the dice are the smallest, or one each. This gives a sum of three when we are rolling three dice. The greatest number on a die is six, which means that the greatest possible sum occurs when all three dice are sixes. The sum of this situation is 18.
When n dice are rolled, the least possible sum is n and the greatest possible sum is 6n.
There is one possible way three dice can total 3
3 ways for 4
6 for 5
10 for 6
15 for 7
21 for 8
25 for 9
27 for 10
27 for 11
25 for 12
21 for 13
15 for 14
10 for 15
6 for 16
3 for 17
1 for 18
4(5y-2) = 40
what is y?
Answer: 4(5y−2)=40
Divide both sides by 4.
5y−2=
4
40
Divide 40 by 4 to get 10.
5y−2=10
Add 2 to both sides.
5y=10+2
Add 10 and 2 to get 12.
5y=12
Divide both sides by 5.
y= 12/5 or 2.4 please give brainliest
Step-by-step explanation:
Which of the following shows the factors of the polynomial f (x) = x^3 -11x + 6 , if one of those factors is x - 3
a. x - 3 is not a factor and there are no correct answers
b. f(x) = (x -3) ( x^2 - 8x - 18)
c. f(x) = (x -3) ( x^2 + 3x - 2)
d. f(x) = (x -3) ( x^2 - 3x^2 - 2x+12)
Answer: f(x)=(x-3)(x^2+3x-2)
Step-by-step explanation:
Write the equation of the line with the given slope, m, and y-intercept, m= 7/4 b = -3
Answer:
y = 7/4x - 3
Step-by-step explanation:
y = mx + b
y = 7/4x - 3
Chealsea has 7/8 pound of butter to make icing. Each batch if icing needs 1/4 pound of butter. Write and solve an equation that models the situation. Then interpret the quotient
Answer:
Chelsea can make 3 [tex]\frac{1}{2}[/tex] batches of icing with 7/8 pounds of butter.
Step-by-step explanation:
7/8 ÷ 1/4 (reciprocate 1/4 to replace division sign with multiplication sign)
= 7/8 x 4/1
= 28/8
= 7/2
= 3 [tex]\frac{1}{2}[/tex]
This means that Chelsea can make 3 [tex]\frac{1}{2}[/tex] batches of icing with 7/8 pounds of butter.
I hope this helps :)
Which number is greater than 1/4
Help with this please
Answer: B
Step-by-step explanation: u have to simplify the 36 and the 12
a box of cereal states that there in 93 calories in 1/4 cup serving. What is the unit for calories per cup? How many calories are there in two cups of the cereal?
Answer:
372 calories per cup
744 calories in two cups
Step-by-step explanation:
unit rate: (per cup)
93*4= 372
In two cups:
372*2= 744
Hope this helps!
What are the correct answers to this geometry question?
Answer:
x = 9
AB = 9
BC = 15
Step-by-step explanation:
x + x + 6 = 24
2x + 6 = 24
2x = 24 - 6
2x = 18
x = 18 / 2
x = 9
AB = x = 9
BC = x + 6
= 9 + 6
BC = 15
How do you determine the domain of a function ?
Answer:
Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that
chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function
must be a real number, the following conditions are commonly checked:
1. Denominators cannot equal 0.
2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)
cannot have a negative value.
3. Logarithms can only be taken of positive values.
4. In word problems physical or other real-life restrictions might be imposed, e.g. time is
nonnegative, number of items is a nonnegative integer, etc.
Answer:
the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers
i hope this helps
for questions 6-9 fill in the missing values on the doubled number line
Answer:
3
Step-by-step explanation:
If 95 students out of 250 students choose adventure as favorite movie what is that percentage
Answer:
38%
Step-by-step explanation:
38% of 250 = 95
How to solve it:
[tex]\frac{38 * 250}{100} =95[/tex]
Which is the correct label of the parallel lines?
Answer:
[tex]a||b[/tex]
The reason is that lines a and b are parallel.
ill give brainliest whoever does it right pls fast
Answer:
1.Train b travels 125 miles in four hours.
2. Train A's speed is 50 mph and train b's speed is 31.25 mph
srry about the last one but i don't know what the answer is since i don't know the choices for it
Explain how you could buy the total number of points the team has all together
Answer:
Just count them
Step-by-step explanation: