Answer:
The Answer would be 288 minutes
Step-by-step explanation:
So we have 9 people working to install a security system in an office building. they take about 96 minutes.
Today we have 3 people doing the same job.
yesterday we had 9 people doing the same job
so we would multiply 96 minutes by 3 because we divided the amount of people by 3
96x3= 288
3 people takes 288 minutes to do the same job.
To complete the installation of a security system that normally takes 9 people 96 minutes, three people would require 288 minutes given each person works at the same rate and the work is additive.
Explanation:When a company usually sends 9 people to install a security system in 96 minutes, and today only has three people available for the same task, we need to calculate the expected time for completion. First, we assume that each person works at the same rate. With 9 people, it takes 96 minutes, so with one person, it would take 9 times longer, since the number of workers is inversely proportional to the time needed.
So, one person would take 9 × 96 = 864 minutes to do the job alone. Therefore, three people would take 864 ÷ 3 = 288 minutes to complete the installation of the security system.
This calculation is based on the assumption that the work done by each individual is additive and that they are working on the task continuously and independently without interruption.
Which expression is equivalent to 3b-1?
5b+3-6-6-4
5b+3-2b-5
26-5+b-4
b+b-5-5b+4
Mr. Goodwin received a paycheck for $1200. He deposited the money into a
bank account. The account has an interest rate of 6% compounded
continuously. This is the first and last deposit Mr. Goodwin makes into this
account. How much money will be in the account in 15 years?
Answer: There will be $2951.52 money in the account in 15 years
Step-by-step explanation:
Given: Principal ; P = $1200
Interest rate;r = 6% compounded continuously
Time; t = 15 years
As we know the compounded continuously formula is given by
[tex]A= Pe^{rt}[/tex] where A is amount , P is principal , r is rate, t is time and e be the mathematical constant.
So according to question we have
[tex]A= 1200 e^{0.06 \times 15} = 1200 e^{0.9} \approx 2951.52[/tex]
Hence, there will be $2951.52 money in the account in 15 years
An ice cream cone has a diameter of 6 inches and a height of 7 inches. What number can be used to complete the volume
statement for the ice cream cone?
Volume
Answer:
The volume of ice cream cone is 66 cubic inch.
Step-by-step explanation:
Diameter of ice cream cone is 6 inches
Height of the cone is 7 inches
The volume of a cone shaped object is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Substituting all the values in above formula as:
[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times 3^2\times 7\\\\V=66\ \text{inches}^3[/tex]
So, the volume of ice cream cone is 66 cubic inch.
Answer:
66
Step-by-step explanation:
I don’t know how to solve this please help I’ll give you 60 points
Answer:
x=58
FDE=61
Step-by-step explanation:
Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:
2x+3+x+3=180
3x=174
x=58 degrees
FDE=ADC= x+3=61 degrees. Hope this helps!
PLEASE HELP
a company designs a new logo to be painted on a wall in the lobby of its office building. the dimensions are shown below what is the area of the logo.
The answer is 15 square ft
Answer:
15 square feet
Step-by-step explanation:
Christine purchased a prepaid phone card for $30. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $27.84, how many minutes did her call last?
Answer:
The answer is 12 minutes.
Step-by-step explanation:
It is given that the cost of one minute is $0.18. Firstly, you have to substract the remaing credits from her original credits :
$30 - $27.84 = $2.16
We have found out that she uses $2.16 for her long distance call. Next, you have to divide 18 cents from the uses in order to find out how many minutes she use :
[tex]1 \: min = 0.18dollar[/tex]
[tex]x \: mins = 2.16dollars[/tex]
[tex]x = 2.16 \div 0.18[/tex]
[tex]x = 12 \: mins[/tex]
The set of points in a plane that are equidistant from a given point from a ————
Answer:
The set of points in a plane that are equidistant from a given point create a circle.
Hope this helps!
:)
Marion and her sister Elaine are saving up to buy a DSLR camera. Marion has saved up $ 299.99 in her account. Elaine sets aside her weekly allowance over a five week period to buy the camera that costs $699.99. Calculate Elaine’s weekly allowance.
Answer:
$80.00
Step-by-step explanation:
If you round up the values, you should evaluate to the following:
Marion/Elaine have $300.00
Marion/Elaine need $700.00
Subtract them from each other and that equals $400.00 dollars that they need.
Since it is a 5 week period this is over, you can divide 400 by 5, what do you get? $80.00
onsider the graph of the line of best fit, y = 0.5x + 1, and the given data points. A graph shows the horizontal axis numbered negative 4 to positive 4 and the vertical axis numbered negative 4 to positive 4. Points show an upward trend. Which is the residual value when x = 2? –2 –1 1 2
Answer:
x = 2
Step-by-step explanation:
The residual value represents the vertical distance between an actual data point and the predicted value on the line of best fit. To find the residual value when x = 2, we need to substitute x = 2 into the equation of the line of best fit and calculate the corresponding y-value.
The equation of the line of best fit is y = 0.5x + 1.
Substituting x = 2 into the equation, we get:
y = 0.5(2) + 1
y = 1 + 1
y = 2
So, when x = 2, the predicted y-value on the line of best fit is 2.
To find the residual value, we need to compare this predicted value with the actual data point. However, the given data points are not provided in the question, so we cannot calculate the exact residual value.
Therefore, without the actual data points, we cannot determine the specific residual value when x = 2.
Final answer:
To determine the residual value for x = 2, we need the actual y value from the data points. The residual is the difference between this actual y value and the predicted value from the line y = 0.5x + 1. Without the actual y value, the residual cannot be calculated.
Explanation:
The subject of this question is residual value in the context of linear regression, which is a part of high school Mathematics. The residual is the difference between the actual y value of a data point and the y value predicted by the line of best fit. When x = 2, we first calculate the predicted value using the equation y = 0.5x + 1, which gives us y = 2. To find the residual value, we need the actual y value from the given data points. If there is no actual y value given specifically for x = 2, we cannot calculate the residual value. Without that actual data point, we cannot compare it to the predicted value of 2. Please provide the actual y value for x = 2 to determine the residual.
whats the radius of a sphere if its volume is 1928pi
Answer:
Cube root of 1446
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!
The formula for the volume of a sphere is 4/3 the product of π and the cube of the radius of the sphere.
Therefore, if we're working backwards, we can start by multiplying 1928 by 4/3.
1928 x (4/3) = 2570.66666667
From there, we can find the cube root to find our radius.
(cube root) of 2570.6666667 = 13.698781
Therefore, the radius of the circle is 13.698781, or about 13.7.
Hope this helps! :)
2x(-2x-3)
I’d like some help on this
Answer:
the answer is 12
Step-by-step explanation:
2 x ( − 2 x ) + 2 x ⋅ − 3
Simplify the expression.
− 4 x 2 − 6 x
Answer:
X^2-6x
Step-by-step explanation:
2x times -2x is 0 which is x^2
2x times -3 is -6x
In right triangle abc shown below what is the degree measure /_C
What term should be added to y2-14y to make it a perfect square
trinomial?
Answer:
49
Step-by-step explanation:
Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.
To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.
- The coefficient of y is -14.
multiplying the coefficient of y by 1/2 will give -14/2 = -7
- squaring -7 will result in (-7)²
= 49
The constant that will be added to the binomial to make it a perfect square trinomial is 49
If AP = 18, then find KP.
Answer:
6
Step-by-step explanation:
18 ÷ 3 = 6
The length of KP is 6 units.
What is Median?The line segment from a vertex to the middle of the other side is what is meant by a median. When the vertex is an angle in an equilateral triangle or the non-congruent angle of an isosceles triangle, it is also an angle bisector.
Given:
From the figure CP = PB then AP is a median.
AP= 18 units
Now, the line QB divides the line AP in ratio 2:1.
So, KP = AP /3
KP = 18/3
KP = 6 units
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plz help!!!!!!!! It’s timed
Answer:
first option is the answer
hope it helps.you
sorry for giving wrong answer last time
Answer:
y^3
Step-by-step explanation:
sqrt(y^3) * sqrt(y^3)
We know that sqrt(a) sqrt(b) = sqrt(ab)
sqrt(y^6)
y^3 since we know that y≥0
Imani’s rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase from $825 to 875. Who had the larger percent increase in their rent
And explain why
Answer:
Ariana
Step-by-step explanation:
560 is 93.33 percent of 600 and 825 is 94.29 percent of 875.
The required, Imani has a larger percent increase in their rent.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Imani’s rent increased from $560 per month to $600 per month.
percentage increase in Imani’s rent = 600 - 560 / 560 × 100%
= 7.14%
Ariana's rent increased from $825 per month to $875 per month.
percentage increase in Ariana's rent = 875 - 825 / 875 × 100%
= 5.71%
Thus, the required, Imani has a larger percent increase in their rent.
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What are the values of m and e in the diagram below?
find the exact length of the third side
Answer:
≈7.48, exact would be 7.48331477355
Step-by-step explanation:
Pythagorean Theorem
c is the hypotenuse (longest side)
a and b are interchangeable
a^2 + b^2 = c^2
3^2 + 7^2 = c^2
(9 + 47 = 56)
56= c^2
[tex]\sqrt{56}[/tex] = c
7.48 ≈ c
hope this helps :)
Directions: Simplify each expression by combining like terms
1.) -y+9z-16y-25z
2.) 6x +3y-y+2+2
3.) 9b + 5(b - 4) + 15
4.) -4(3x + 5) + 10x + 1
5.) 0.5(y + 4) + 18y - 9
6.) -0.7r+9(-r-15)
Answers:
1.) -y+9z-16y-25z = -17y-16z
2.) 6x +3y-y+2+2 = 6x+2y+4
3.) 9b + 5(b - 4) + 15 = 14b-5
4.) -4(3x + 5) + 10x + 1 = -2x-19
5.) 0.5(y + 4) + 18y - 9 = 18.5y-7
6.) -0.7r+9(-r-15) = -9.7r-135
Solve S= 2ab + 2bc + 2ac for b.
A) s-4a/c
B) s/2(a+c)
C) s/a+b+c
D) s-2ac/2a+2c
Answer:
D) s-2ac/2a+2c
Step-by-step explanation:
[tex]s = 2ab + 2bc + 2ac \\ s - 2ac = b(2a + 2c) \\ \huge \red{ \boxed{ b = \frac{s - 2ac}{2a + 2c} }}[/tex]
The product of 21 and a number u is at most 126
Answer:
21u is less than or equal too 126
Step-by-step explanation:
Final answer:
The inequality 21u ≤ 126 is solved by dividing both sides by 21, resulting in u ≤ 6.
Explanation:
The product of 21 and a number u is at most 126 can be expressed as an inequality: 21u ≤ 126. To solve for u, we divide both sides of the inequality by 21, the coefficient of u. Doing so, we find that u ≤ 6. Therefore, the number u can be any number less than or equal to 6 so that the product of 21 and u does not exceed 126.
can someone help me out plz?
2. There are 14 rollercoasters at the amusement park. There are 2 rollercoasters made of steel, 6 of them are made of steel and have loops, 4 of them have loops but aren't made of steel and there are 2 rollercoasters with no loops and aren't made of steel.
4. 60% of rollercoasters with loops are made of steel. 40% of rollercoaster with loops are not made of steel. 50% of rollercoasters made of steel have no loops and 50% of rollercoasters not made of steel don't have loops.
6. 75% of rollercoasters are made of steel either have loops or no loops.
25% of rollercoasters not made of steel either have loops or no loops.
This was quite a lot to do, I'm pretty sure the relative frequency graph number 3 had me a bit confused.
1. The students in Mr. Anderson's
math class earned these scores on
a test: 96, 49, 72, 89, 76, 82, 89.
Find the mean score.
Answer:
maybe you can mulitply sorry if im wrong im also struggling :(
What is the height of the trapezoid ? A) 3units B) 5units C) 10units D) 12units
Help pls?
Answer:
b) 5
Step-by-step explanation:
6+10=16
40 times 2 = 80
80 div by 15 = 5
Answer:
The answer is 5units
Step-by-step explanation:
Because it is
A ramp with a one-meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?
a. 300
C. 600
b. 400
d. none of the above
Answer:
The value of the acute angle is 40°Step-by-step explanation:
Given a ramp with a one-meter distance from edge to edge and reaches a height of 0.643 meters, the equivalent set up will form a right angled triangle where the length of the ramp will be the hypotenuse of the triangle and its height will be the opposite side of the triangle facing the acute angle directly.
To get the value of the acute angle, we will use the trigonometry ratio known as SOH, CAH, TOA.
Given length of ramp = hypotenuse = 1m
Height =Opposite side = 0.643m
Using SOH;
sin[tex]\theta\\[/tex] = [tex]\frac{opp}{hyp}[/tex]
sin[tex]\theta[/tex] = 0.643/1
sin[tex]\theta[/tex] = 0.643
[tex]\theta[/tex] =sin⁻¹0.643
[tex]\theta[/tex] = 40°
The value of the acute angle is 40°
Which equation shows the correct use of the Distributive Property? −4(3/2x−1/2)=−15
A. 6x + 4 = –15
B. 2x – 12 = –15
C. –6x – 2 = –15
D. –6x + 2 = –15
Answer:
D
Step-by-step explanation:
What is the answer to the file attached
Answer:
(2x)^4 - (3y)4
Step-by-step explanation:
using this identity a^2 - b^2 = (a + b )(a - b)
=(4x^2)^2 - (9y^2)^2
=(2x)^4 - (3y)4
Which expression has a value closest to 1 ? (Use 3.14 as the value of pi.)
A. 7pi/square root of 10
B. square root of 75 - square root of 74
C. square root of 37 - square root of 26
D . 3 and the square root of 5 - square root of 20/ square root of 2
Right answers only
Answer:
C
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
Based on the side lengths alone, could the triangles be similar? Triangle R S T. Side R S is 3 centimeters, side S T is 6 centimeters, and side R T is 6.4 centimeters. Triangle W X U. Side W X is 16 centimeters, side X U is 7.5 centimeters, and side W U is 15 centimeters. No, the sides are not proportional. Yes, the sides are in the ratio 2:5. Yes, the sides are in the ratio 4:5. Yes, the sides are in the ratio 1:5.
Answer:
Yes, the sides are in the ratio 2:5.
Step-by-step explanation:
All sides divided by each congruent side are = to .4 and 2/5 is = to 4/10
The sides of triangles are not proportional, thus the triangle is not similar triangle.
What is triangle?Triangle is "a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees".
What is similar triangles?
If the ratio of the "sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles".
According to the question,
In ΔRST and ΔWXU are similar triangle if ∠R = ∠W; ∠S = ∠W; ∠T=∠U
then [tex]\frac{RS}{WX} = \frac{ST}{XU}[/tex] .
In ΔRST, side RS is 3 centimeters, side ST is 6 centimeters, and side RT is 6.4 centimeters. In ΔWXU, Side WX is 16 centimeters, side XU is 7.5 centimeters, and side WU is 15 centimeters.
[tex]\frac{3}{16} = \frac{6}{7.5} = \frac{6.4}{15}[/tex]
Hence, the sides are not proportional then the triangle is not similar triangle.
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HELP HELP. Look at the factors of 50 and 75.
Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 75: 1, 3, 5, 15, 25, 75
The GCF of 50 and 75 is ______
Answer:
25
Step-by-step explanation:
25 bc it is the largest number than can go both into 50 and 75
Answer:
GCF =25
Step-by-step explanation:
The prime factorization of 50 is: 2 x 5 x 5.
The prime factorization of 75 is: 3 x 5 x 5.
The prime factors in multiplicities 50 and 75 have in common are 5 x 5.
5 x 5 is the GCF of 50 and 75.
I hope this helps!! :]