Square B
Explanation:The complete question is written in a comment above. The doctor's office where you work needs to store eight filing cabinets with patient information in one of three secure storage rooms. We know that the filing cabinets need a total of 55 square feet of space. You need to identify in which room the filing cabinets will fit. So we have three rooms:
FIRST OFFICE:
[tex]Square \ A = 8 \times 5[/tex]
In other words, for this room we have the following area:
[tex]Square \ A =40ft^2[/tex]
SECOND OFFICE:
[tex]Square \ B = 9 \times 7.5[/tex]
In other words, for this room we have the following area:
[tex]Square \ B =67.5ft^2[/tex]
THIRD OFFICE:
[tex]Square \ C = 5 \times 10[/tex]
In other words, for this room we have the following area:
[tex]Square \ C =50ft^2[/tex]
How can we know what is the room we need to choose?
Well, the room we need to choose is the one whose area is greater than the area of the filling cabinets. In other words, let's call square x the unknown room, then:
[tex]Square \ x>55ft^2[/tex]
From the, choices the only room that meets our requirements is square B because:
[tex]Square \ B>55ft^2 \\ \\ 67.5ft^2>55ft^2[/tex]
Measure the length and width of a room in feet to calculate its area. Multiply these dimensions to get the area in square feet. The filing cabinets need a room with at least 55 square feet.
Explanation:To determine whether the filing cabinets will fit into a room, we must calculate the area of the room and see if it is at least 55 square feet, the space required for the filing cabinets.
To calculate the area of a room in square feet, measure the length and width of the room in feet and then multiply these numbers together.
For example, if a room is 10 feet wide and 5.5 feet long, its area would be 10 feet times 5.5 feet, which equals 55 square feet. Therefore, the filing cabinets would fit in a room of this size.
If your company sells basketballs. You sell
123,000 basketballs at a price of $42.50 each.
You have bills for your business equal to
$575,000. What is your profit?
123,000 x 42.50 = 5227500
5227500-575,000=4652500
your profit is 4652500
Hope this helps
On the field trip, there are 225 students loaded onto 5 buses. Select the answer that shows the ratio of students to buses in simplest form
Answer:
45:1
Step-by-step explanation:
order this
1/2 , 1/3 , -1/2 , -1/3
let's see who is right
For least to greatest, -1/2, -1/3, 1/2, 1/3
For greatest to least, 1/3, 1/2, -1/3, -1/2
The negative numbers will be less then the positive ones
Two numbers are in the ratio of 3:4. If 9 is subtracted from their sum, the result is 40. What is the greater number?
F. 35
G.21
H.28
J.49
Answer:
H.28
Step-by-step explanation:
x : y = 3 : 4
=> 4x=3y => x=3y/4 -----(1)
(x+y)-9=40
=>x+y=49
using (1)
3y/4 +y= 49
y=28
substituting y in (1)
x=21
hence 28 is greater.
You start at (4, 4). You move up 1 unit and left 6 units. Where do you end?
Answer: (10,5)
Step-by-step explanation:
add 6 do the x value
then add 1 to the y value
Write the equation of the line that passes through the point (-5,5) and has a slope of -8/5
A) y= -8/5 x - 3
B) y= -8/5x+3
C) 3x - 5y =0
D) 5x-3y=0
Answer:
The equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:
[tex]y=-\frac{8}{5}x-3[/tex]
Step-by-step explanation:
Given
[tex]\left(x_1,\:y_1\right)=\left(-5,5\right)[/tex][tex]m=\frac{-8}{5}[/tex]Point-Slope Form equation is
[tex]\left(y-y_1\right)=m\left(x-x_1\right)[/tex]
[tex]\left(y-5\right)=\frac{-8}{5}\left(x-\left(-5\right)\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]y-5=\frac{-8}{5}\left(x+5\right)[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]y-5=-\frac{8}{5}\left(x+5\right)[/tex]
[tex]y-5+5=-\frac{8}{5}\left(x+5\right)+5[/tex]
[tex]y=-\frac{8}{5}x-3[/tex]
Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:
[tex]y=-\frac{8}{5}x-3[/tex]
A delivery company pays its drivers a fixed fee for each delivery made that day. The company deducts a daily fee for the use of the company's delivery truck. The drivers net pay in dollars, p, for one day is given by the equation p = 11d − 55, where d is the number of delivers made in one day. What does the number 55 most likely represent?
Answer:
55 is probably the fixed fee that the delivery company charges before anything.
Answer:
The companies daily fee
Step-by-step explanation:
P = pay
D = deliveries
55 = the daily fee the company deducts for the use of their truck
Pay = deliveries - company deduction
Find the degree of the term 8x^4
Answer:
4
Step-by-step explanation:
The degree of any variable is its power/exponent/index/indices
if the triangles are congruent, then X=?
Answer:
Hi there!
The correct answer to this question is: x=3
Step-by-step explanation:
because these two triangles are similar, that means the hypotenuse are similar. which means you can set the sides equal to each other like this:
13 = 4x + 1 minus one on both sides and you should get 4x = 12 and then divide 4 on both sides and you should finally get x = 3
The table below shows the cost of different numbers of goldfish at a pet store.
5----$1.50
10---$3
15---$4.50
20---$6
Which statement describes the rate of change of this function?
A.
The cost increases $3.00 each time 5 goldfish are added.
B.
The cost increases $0.30 each time 1 goldfish is added.
C.
The cost increases $6.00 each time 5 goldfish are added.
D.
The cost increases $1.50 each time 1 goldfish is added.
If each cube represents 0.25 in3, what is the volume of the prism?
A) 6 in3
B) 12 in3
C) 48 in3
D) 75 in3
Answer:B
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
i did the test and got it right
nd the 52nd term and the term named in the problem
40, 140, 240, 340, ...
Find a 32
Answer:
5140 and 3140
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
d = 140 - 40 = 240 - 140 = 340 - 240 = 100
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 40 and d = 100, thus
[tex]a_{52}[/tex] = 40 + (51 × 100) = 40 + 5100 = 5140
[tex]a_{32}[/tex] = 40 + (31 × 100) = 40 + 3100 = 3140
please someone help me !! :(
Answer: 27 times bigger.
Step-by-step explanation:
You need to use the following formula to find the volume of a Square pyramid:
[tex]V=\frac{1}{3}s^2h[/tex]
Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.
Knowing that:
[tex]s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in[/tex]
You can find the volume of the Pyramid A and the volume of the Pyramid B:
[tex]V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3[/tex]
Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.
You get:
[tex]\frac{10,368\ in^3}{384\ in^3}=27[/tex]
Place a term into each box to complete the equation that converts 3 yards to inches.
Answer:
1 yard, 12 inches, 108 inches.
Step-by-step explanation:
there are 3 feet in a yard, 12 inches in a foot and because 12 times 3 (one yard) is equal to 36, then three yards are equal to 108 inches.
Josie and her brother, Sean both have a job after school. For every $5.50 that Josie earns, her brother earns $6.50. On Tuesday, they earned $30.00. How much money did Josie earn? How much did her brother earn?
Answer:
Josie will earn $13.75 and her brother Sean will earn $16.25
Step-by-step explanation:
Given that For every $5.50 that Josie earns, her brother earns $6.50.
Tuesday, they earned $30.00
Using the ratio and the proportional
Josie : Sean : Total
5.5 : 6.5 : 12
x : y : 30
So, x = 5.5 * 30/12 = 13.75
And y = 6.5 *30/12 = 16.25
So, Josie will earn $13.75 and her brother Sean will earn $16.25
Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st term.
To create an arithmetic sequence using the given functions, we add the functions together and substitute the desired term. The 31st term of the arithmetic sequence is -49.
Explanation:To combine the functions f(n) = 11 and g(n) = -2(n - 1) into an arithmetic sequence, we need to find the common difference between the terms. The common difference between the terms in an arithmetic sequence is obtained by subtracting one term from the previous term. In this case, the common difference is g(n). So, the arithmetic sequence can be expressed as an = f(n) + g(n).
For the 31st term, we substitute n = 31 into the equation and calculate:
a31 = f(31) + g(31)
a31 = 11 + [-2(31 - 1)]
a31 = 11 + [-2(30)]
a31 = 11 + [-60]
a31 = -49
Therefore, the 31st term of the arithmetic sequence an is -49.
Learn more about Arithmetic Sequences here:https://brainly.com/question/35880655
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What is the equivalent fraction of 24/126
Answer:4/21
Step-by-step explanation:divide 6 by both sides
The equivalent fraction of 24/126 is 4/21.
To find an equivalent fraction, one can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 24 and 126 is 6.
Dividing both the numerator and the denominator by 6, we get:
[tex]\[ \frac{24 \div 6}{126 \div 6} = \frac{4}{21} \][/tex]
Therefore, the fraction 4/21 is equivalent to 24/126.
What is the length of the unknown leg in the right triangle? A right triangle has a side with length 8 feet, hypotenuse with length StartRoot 73 EndRoot feet, and side labeled a. 3 ft StartRoot 57 EndRoot ft StartRoot 65 EndRoot ft 9 ft
Answer:
It’s A
Step-by-step explanation:
Right on edge
Aiden borrows a book a public library. He read a few pages on day one. One day two, he reads twice the number of pages than he reads on one day. On the third day, he reads six pages less than what he read on the first day. If he read the entire book that contains 458 pages how many pages did he read on day three
Answer:
110 pages
Step-by-step explanation:
Day 1 =x
Day 2 =2x
Day 3 =x-6
(x)+(2x)+(x-6)=458
Add likes together.
4x-6=458
4x=464. Divide both sides by 4 to get x. X=116
Day 3=116-6=110
find the unit rate 50 min?
20 calls?
Answer: 2.5 minutes per call
Step-by-step explanation:
This is a fraction equal to
50 minutes ÷ 20 calls
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 20
50 minutes ÷ 20
20 calls ÷ 20 = 2.5 minutes/ 1 call
The unit rate is 2.5 minutes per call
To find the unit rate of making phone calls, we divide the total number of minutes by the total number of calls. This gives us the average number of minutes spent on each call.
We have 50 minutes and 20 calls. Dividing these gives us the unit rate:
Unit Rate = Total Minutes ∕ Total Calls
Unit Rate = 50 minutes ∕ 20 calls = 2.5 minutes per call
Therefore, the unit rate is 2.5 minutes per call, indicating on average, each call lasts for 2.5 minutes.
The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?
Answer:
Therefore, the area of the ellipse is:
Area = 78.5 inches
Step-by-step explanation:
The formula to find the area of the ellipse is
[tex]\:a\:\times \:b\:\times \:\pi[/tex]
The major axis of an ellipse = 25 inches
The minor axis of an ellipse = 4 inches
The value of a = major axis/2 = 25/2 = 12.5 inchesThe value of b = minor axis/2 = 4/2 = 2 inchesThus
The area of the ellipse:
Area = [tex]\:a\:\times \:b\:\times \:\pi[/tex]
[tex]=\:12.5\:\times\:2\:\times\:\pi[/tex]
[tex]=25\pi[/tex]
[tex]=78.5[/tex] inches ∵ [tex]\pi =3.14[/tex]
Therefore, the area of the ellipse is:
Area = 78.5 inches
Round each addend to 0,1/2, or 1. What is the best estimate for the sum of 5/6 + 3/7
Answer:
Step-by-step explanation:first round the fractions then add decide if it goes to 0,1/2,or 1
The best estimate for the sum of 5/6 and 3/7 by rounding to the nearest 0, 1/2, or 1 is 1.5 or 3/2.
To estimate the sum of 5/6 and 3/7, we round each addend to the nearest of the given values: 0, 1/2 (0.5), or 1. Five-sixths is closer to 1 than it is to 1/2 or 0. So, we round 5/6 to 1.
Three-sevenths is closer to 1/2 than to 1 or 0. So, we round 3/7 to 1/2. After rounding, our new equation for estimation is 1 + 1/2.
The best estimate for the sum thus becomes 1 + 1/2 which equals 1.5 or 3/2. This is a quick way to find a rough estimate of the sum without finding a common denominator or adding the actual fractions.
What is 4.49 rounded to the nearest whole number ?
Answer:
4
Step-by-step explanation:
Which three length cannot be the length of the sides of a triangle
The missing choices are here
A. 23 m, 17 m, 14 m
B. 11 m, 11 m, 12 m
C. 5 m, 7 m, 8 m
D. 21 m, 6 m, 10 m
Answer:
21 m, 6 m, 10 m cannot be the length of the sides of a triangle ⇒ D
Step-by-step explanation:
There is a fact to form a triangle:
The sum of the lengths of the two smaller sides must be greater than the length of the third side
A.
∵ The smallest sides are 14 m and 17 m
∵ Their sum = 14 + 17 = 31 m
∵ The third side is 23 m
∵ 31 > 23
∴ 23 m, 17 m, 14 m can be the length of the sides of a triangle
B.
∵ The smallest sides are 11 m and 11 m
∵ Their sum = 11 + 11 = 22 m
∵ The third side is 12 m
∵ 22 > 12
∴ 11 m, 11 m, 12 m can be the length of the sides of a triangle
C.
∵ The smallest sides are 5 m and 7 m
∵ Their sum = 5 + 7 = 12 m
∵ The third side is 8 m
∵ 12 > 8
∴ 5 m, 7 m, 8 m can be the length of the sides of a triangle
D.
∵ The smallest sides are 6 m and 10 m
∵ Their sum = 6 + 10 = 16 m
∵ The third side is 21 m
∵ 16 < 21
∴ 21 m, 6 m, 10 m cannot be the length of the sides of a triangle
Martin kept track of the number of times he had to flip a coin before it landed tails up.
Number of Flips to Land Tails Up
1
2
3
4
Which is a true statement about the dot plot?
*
Six times it took 4 flips of the coin to land tails up.
Twice it took 4 flips of the coin to land tails up.
It took 6 flips of the coin to land tails up more often than any other number of flips.
The greatest number of flips it took to land tails up was 6.
Answer:
The dot plot of flip times increased gradually between 1, 2 and 3. The dot plot grew sharply from 3 to 4 and then 6.
Step-by-step explanation:
There are only 5 probabilities. It took Martin 1,2,3,4 and 6 flips to land a tail up. That 1,2,3 times of flips to land a tail up happened once. 4 times of flips to land a tail up happened 8 times. The greatest number of flips took to land tails up was 6 but the question didn't give details how many times it happens.
Answer:
the answer is A just took a quiz.
Step-by-step explanation:
Three of the shapes have the same area. Which one does not?
Answer:A
Step-by-step explanation:
Answer:
No the answer is c. because it is the only one not equal to 24.
Step-by-step explanation:
choice a is a parallelogram which would be equal to 24 because for a parallelogram to find the area you multiply base times height.
6 times 4 is 24.
Rope costs $0.65 per foot.How much do 10.8 feet of rope cost?
Answer:
$7.02
Step-by-step explanation:
So we know that one foot of rope costs $0.65, and we are trying to fin the cost of 10.8 feet of rope. To find the cost of 10.8 feet of rope, we would multiply the length of the rope (in feet) and multiply it by the cost of one foot of rope. The length of the rope is already given to us in feet, so now we just need to multiply it by the cost per foot ($0.65).
$0.65 × 10.8 = ($0.65 × 10) + ($0.65 × 0.8) = $6.5 + $0.52 = $7.02
The cost of 10.8 feet of rope would be $7.02.
I hope this helps. :)
The required, 10.8 feet of rope costs $7.02.
What is arithmetic?Arithmetic is a constituent of mathematics that deals with the study of numbers, their properties, and their operations, it involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
To find the cost of 10.8 feet of rope at $0.65 per foot, we can multiply the length of the rope by the cost per foot:
Cost of 10.8 feet of rope = 10.8 feet x $0.65/foot
= $7.02
Therefore, 10.8 feet of rope costs $7.02.
Learn more about arithmetic here:
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let s ={1 2 3 4 5 6}
A= {2 4 6}
B={3 4 5}
C={1 6}
find A'
A' n B
B n C'
(AuB)
(C')
Answer:
PLEASE CHECK THE ATTACHMENT.
HOPE U UNDERSTOOD
THANKS
√2
4
Suppose that $2000 is invested at a rate of 5.1%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 6 years.
Do not round any intermediate computations, and round your answer to the nearest cent.
Solution:
The formula for compound interest, including principal sum, is:
[tex]A = p( 1 + \frac{r}{n})^{nt}[/tex]
Where,
A = the future value of the investment/loan
P = the principal investment amount
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
p = 2000
[tex]r = 5.1 \% = \frac{5.1}{100} = 0.051[/tex]
t = 6 years
n = 2 ( compounded semiannually)
Substituting the values we get,
[tex]A = 2000( 1 + \frac{0.051}{2})^{ 2 \times 6}\\\\A = 2000( 1 + 0.0255)^{12}\\\\\A = 2000(1.0255)^{12}\\\\A = 2000 \times 1.35278\\\\A = 2705.5649[/tex]
Thus the total amount after 6 years is $ 2705.5649
Final answer:
Using the compound interest with an initial investment of $2000 at a 5.1% interest rate compounded semiannually, the total amount after 6 years is calculated to be $2710.34.
Explanation:
To calculate the total amount after 6 years when $2000 is invested at a rate of 5.1% compounded semiannually, we use the formula for compound interest, which is [tex]A = P(1 + r/n)^(nt).[/tex] Here, A represents the future value of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time the money is invested for in years.
We can plug the values into the formula:
P = $2000 (the initial investment)
r = 0.051 (5.1% interest rate expressed as a decimal)
n = 2 (since the interest is compounded semiannually)
t = 6 (the investment period in years)
Therefore, we calculate A using the following expression:
[tex]A = 2000(1 + 0.051/2)^(2*6)[/tex]
[tex]A = 2000(1 + 0.0255)^(12)[/tex]
[tex]A = 2000(1.0255)^12[/tex]
After calculating the above expression without rounding intermediate computations and rounding the final answer to the nearest cent, the total amount comes out to be:
A = $2710.34
Thus, the total amount after 6 years, with a 5.1% interest rate compounded semiannually, is $2710.34.
What is the missing number in this pattern?
1, 4, 9, 16, 25, 36, 49, 64, 81,
Answer:
no numbers are missing
Step-by-step explanation:
Don't fool others