On a floor plan for Rosedale Middle School, 1 inch represents 10 feet. If Sarah's classroom is 2 inches by 3 inches on the floor plan, what are the actual dimensions of her classroom?
The actual dimensions of Sarah's classroom are 20 feet by 30 feet, based on a scale of 1 inch representing 10 feet on the floor plan.
If 1 inch on the floor plan represents 10 feet in reality, we can determine the actual dimensions of Sarah's classroom by multiplying the dimensions on the floor plan by 10.
The width of Sarah's classroom on the floor plan is 2 inches, so the actual width would be 2 inches * 10 feet/inch = 20 feet. Similarly, the length of Sarah's classroom on the floor plan is 3 inches, so the actual length would be 3 inches * 10 feet/inch = 30 feet.
Therefore, the actual dimensions of Sarah's classroom are 20 feet by 30 feet. This means that the classroom occupies a rectangular space with a width of 20 feet and a length of 30 feet. It is important to note that these measurements are scaled up from the floor plan according to the given ratio of 1 inch to 10 feet.
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John bought a used car that costs $13,500. If the sales tax on the car is 8%, how much sales tax did he pay?
Answer:
1,080
Step-by-step explanation:
QUICK MATH
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?
please answer this now!!
Answer:
0.125 liters per day
Step-by-step explanation:
0.5/4=.125
Consider the equation 4x4 – 8x3 + 4x2 – 128x – 960 = 0. The real solutions are 5 and –3. What are the nonreal solutions? –2i, 2i –4i, 4i –8i, 8i –16i, 16i
The required nonreal solution of the given equation 4x⁴ – 8x³ + 4x² – 128x – 960 = 0 is –4i, 4i.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
The given expression,
4x⁴ – 8x³ + 4x² – 128x – 960 = 0.
Factorization
4.(x + 3).( x - 5).(x² + 16) = 0
Now,
x + 3 = 0 ; x - 5 = 0 ; x² + 16 = 0
x = -3 ; x = 5 ; x = ± 4i
Thus, the required nonreal solution of the given equation is –4i, 4i.
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Answer:
B
Step-by-step explanation:
What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS
Answer:
50= 2x2x5 is the prime factorization of 50.
9 1/6 divided by 5 + 3 1/3
Answer: 10 1/3 or 31/3
Step-by-step explanation:
Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)
(55/6 / 5/1) + 3 1/3
(55/6 x 1/5) + 10/3
11/6 + 10/3
To add fraction you have to have the same denominator, so you multiply it till it has the same denominator
11/6 + 20/3
31/3 = 10 1/3 is your final answer
Compute the probability of flipping a coin once and getting heads, given that the previous flip was tails.
Answer:
the probability to flip a head is 50%
Step-by-step explanation:
I think.
Write an algebraic representation that would result in a reduction of a figure.
Answer:
A-B=C
A= a house
B=destruction
C= aftermath
Answer this question please
Answer:
[-13,∞)
Step-by-step explanation:
x ≥ -13
x ≥ -13
Convert the inequality to interval notation.
[-13,∞)
Which container holds the largest amount of soil
Rectangular prism H=1.5ft W=1.5ft I=3ft
Answer:A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of it's base is twice the width.: let x = the width of the base then 2x = the length of the base and h = height of the box: 2x^2 = the area of the base 2(2xh) = 4xh = area of the two vertical sides 2xh = area of the two other vertical sides then
Step-by-step explanation:
PLEASE HELP
1. A car rental company charges $260 per week plus $0.29 per mile to rent a car. How many miles can you travel in one week for $419.5?
a. the equation is ______
b.you can travel _____ miles in one week for $419.5
two step inequalities
please help
Guess what sport I do and I'll give you brainly :)
Answer:
Gymnastics
Step-by-step explanation:
Best and Correct answer gets BRAINLIEST!!!
Answer:
3/2
Step-by-step explanation:
K = Y/X
A pitcher of water holds 650mL. Convert this to deciliters.
⚠️NEED HELP ASAP!!!!!⚠️
What value of y makes lines DB and CE parallel?
A.)116
B.)14
C.)6
D.)5
Answer:
C
Step-by-step explanation:
9y-1=180-127
9y-1=53
9y=54
y=6
Answer: B
Step-by-step explanation:
La temperatura en la mañana fue de 5°F sobre cero. A mediodía, la
temperatura fue de 21°F bajo cero. ¿Por cuánto cambió la temperatura?
right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you 2have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the
Find the distance between w=1+2i and z=3-i
Answer:
The distance between w=1+2i and z=3-i is 3.61
Step-by-step explanation:
We need to find the distance between w=1+2i and z=3-i
The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=1, y_1=2, x_2=3, y_2=1[/tex]
We will use only real numbers and not i for calculating distance.
Putting values and finding distance
[tex]Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61[/tex]
So, The distance between w=1+2i and z=3-i is 3.61
27.893m in _______m_____dm______cm_____mm
Answer:
27.893m in 27m 8dm 9cm 3mm
Step-by-step explanation:
Just put in the digits from left to right since:
10dm = 1m
10cm = 1 dm
10mm = 1cm
HELP ME HELP ME HELP ME HELP HELP MEEEE
Answer:
Infinatly many solutions
Step-by-step explanation:
mark me brainlyest
Answer:
i would say a or b but probably b
Step-by-step explanation:
struggling hard with probability questions, if anyone could help would be greatly appreciated, will give brainiest
The value of the probability is P(Large or Blue) = 7/10
How to evaluate the probability?The given parameters are represented on the table
Using the table parameters, we have
P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total
This gives
P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)
This gives
P(Large or Blue) = 28/40
Simplify
P(Large or Blue) = 7/10
Hence, the value of the probability is P(Large or Blue) = 7/10
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Find the coordinates of the point 7/10 of the way from A to B. The points given are A(-3,-6) , B(10,5)
why the grade tent truck fico duck session duck duck drink dunno rbi Thu to ft ft ft ft tho
If $29 is invested at a simple interest rate of 3% per year, what would the total account balance be after forty-five years?
The total account balance after forty-five years will be $68.15
As per the known facts, the simple interest is calculated using the formula -
S. I. = (P × R × T) ÷ 100, where S.I. is simple interest, P is principal, R is rate of interest and T is time. Keep the values in formula to find the value of interest.
S.I. = (29 × 3 × 45) ÷ 100
S.I. = 3915 ÷ 100
S.I. = 39.15
To calculate the amount, we will simply add the principal and simple interest.
Amount = 29 + 39.15
Amount = $68.15
Therefore, the total account balance after forty-five years will be $68.15.
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A toy store is having a sale. A video game system has an original price of $99. If it is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest CENT.
Answer this question please
Answer:
(3, 9)
Step-by-step explanation:
See attached image.
A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4
Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]
[tex]\text{Required probability}=\dfrac{10}{120}[/tex]
[tex]\text{Required probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
200 = 42 + 10h
How many hours does this problem equate to?
Answer:
h = 15.8
Step-by-step explanation:
200 = 42 + 10h
10h = 200 - 42
10h = 158
h = 15.8
Answer:
15.8 hours
Step-by-step explanation:
When a number is multiplied by four and the
result is decreased by six, the final result is 10, what is this in a math problem???
Answer:
x*4-6=10
is a ecuation
x * 4 - 6 = 10
x * 4 = 16
x = 16/4
x = 4
please answer this correctly i'll give u 50 points and brainliest
Answer:
Step-by-step explanation:
Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.
(2t+1) (t- 4)
A. 2t² - 4
B. 2t² -7t - 4
C. 2t² -9t +4
D. 2t² +9t.
Answer:
2t^2−7t−4 (b)
Step-by-step explanation:
=(2t+1)(t+−4)
=(2t)(t)+(2t)(−4)+(1)(t)+(1)(−4)
=2t^2−8t+t−4
=2t^2−7t−4