The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
let
number of hours = h
number of computers = c
number of workers = w
h = k × c / w
where,
k = constant of proportionality
h = 10.25
w = 16
c = 40
h = k × c / w
10.25 = k × 40 / 16
cross product
10.25 × 16 = k × 40
164 = 40k
k = 164/40
k = 4.1
If
c = 68
h = 16.40
h = k × c / w
16.40 = 4.1 × 68 / w
cross product
16.40w = 4.1 × 68
16.40w = 278.8
w = 278.8 / 16.40
w = 17 workers
Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
Learn more about ratio:
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the output is two more than the input
Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.
So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.
So if you travel for m miles, the cost equation is:
C(m) = $4.10 + $0.50*m
Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:
$9.60 = C(m) = $4.10 + $0.50*m
$9.60 = $4.10 + $0.50*m
$9.60 - $4.10 = $0.50*m
$5.50 = $0.50*m
$5.50/$0.50 = m = 11
This means that Eva traveled 11 miles in the taxi.
If you want to learn more about linear equations, you can read:
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Answer:
11
Step-by-step explanation:
please answer i'll mark brainliest
Answer:
X=-10 Y=-3
Step-by-step explanation:
What is the domain and range
Answer:
Step-by-step explanation:
Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)
A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop
Answer
If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45
please help due any minute
Answer:
A the system has no solution
Step-by-step explanation:
Simplifying 2x + -5y = -8
Solving 2x + -5y = -8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y
Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y
Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y
Solution for 2x-5=12 equation:
2x - 5 = 12
2x = 12 + 5
2x = 17 (divide both sides by 2 to get x)
2x/2 = 17/2
x = 8.5
Does (2, –2) make the equation y = –2x + –2 true?
Answer: no it doesn’t because -2 doesn’t equal to -6
Step-by-step explanation:
all you have to do is plug 2 for x value and -2 for y
-2= -2(2)+ -2
so -2= -4+ -2 and -4+ -2 is -6
therefor -2 doesn’t equal to -6
60 points!!! Please answer immediately and the entire page please I will also give you five stars
Answer:
Step-by-step explanation:
9. Correct, D
-3Y + 9X <= 12
3Y - 9X => -12
3Y => -12 + 9X
Y => -4 + 3X
10. D
11. D
12. Correct, B
13. Correct, E
14. A
15. B
If -11 + N = -11, then N is the
a. additive identity
b. additive inverse
c. multiplicative inverse
d. multiplicative identity
Answer:
Step-by-step explanation:
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one more time what 4 + 4 × 4 + 4 ÷ 4=
Answer:
I think probably 21
Step-by-step explanation:
4+16+1 = 21
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as long
the banner and the poster have perimeters 24 inches. What are the lengths and of widths of the poster and the banner?
Rectangular Poster:
Length = 9
Width = 3
Rectangular Banner:
Length = 10
Width = 2
Hope this is helpful!
numbers in order from least to greatest?
35%, 3/5, 0.27, 2/7
Answer:
0.27, 2/7, 35%, 3/5
Step-by-step explanation:
(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.
Answer:
(1 , -2/3)
Step-by-step explanation:
when y =0
3×0-2x=-2
0-2x=-2
divide both side by -2
x=1
when x=0
3y-2×0=-2
3y-0=-2
divide both side by 3
y=-2/3
Write an equation for the perimeter of the rectangle
Answer:
Area = 2(5x - 4) + 2(5x)
Step-by-step explanation:
Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.
How do I solve this
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have?
The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?
Answer:
is there a photo of a scatter plot?
Step-by-step explanation:
Sarah is buying gifts for her friends. She is purchasing phone cases and chargers. The phone cases cost $25 and the charges cost $30. She
plans on spending no more than $100 and wants to buy at least 4 gifts. Which inequalities would be used to model this situation?
Answer:
Step-by-step explanation:
Let P be the number of phone cases and C the number of chargers.
p($25) + C($30) ≤ $100
and
P + C ≥ 4
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.
x=hours
7.5=2.5x
3=x
x=3
3 hours until the power was restored
Calculate the distance between the points M=(-1, -2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answer:
nearest hundredth 8.944
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.944
Jordan invests £16200 into his bank account.
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
18225
Step-by-step explanation:
16200*0.025*5=2025
2025+16200 = 18225
One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use (from 11.4% in 1997) to 9.8% now. Suppose a survey in a large high school reveals that, in a random sample of 1046 students, report using illegal drugs. Use a 0.05 significance level to test the principal's claim that illegal drug use in her school is below the current national average.
Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.
At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:
[tex]H_0: p \geq 0.098[/tex]
At the alternative hypothesis, it is tested if it is below, that is:
[tex]H_1: p < 0.098[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.93 out of 1046 reported using illegal drugs, hence the parameters are:
[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]
[tex]z = -0.99[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.
To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945
please help finals study guide
Someone helppp pls due in 5 min
I will thank
Can someone please help?
Answer:
Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.
6x+4=8x-8
12=2x
x=6
Now PT is 6x+4
So we subsitute x for 6 since x=6
6*6+4
40
PT is 40
Which equation represents the vertical line passing through (14,-16)?.
The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.
Given the following data:
Points (x, y) = (14, -16)To find an equation of the vertical line that passes through the given points (14, -16):
The standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex]
Where:
x and y are the points.m is the slope.b is the intercept.For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.
Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.
Read more: https://brainly.com/question/2707920
A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?
Answer this question.
You get a thank you and 5 stars if it's the correct answer.
Answer:
w = 5, x = 7, y = 6, z = 12
Step-by-step explanation:
Evaluate each row by solving the corresponding equation, that is
row 1
4w = 20 ( divide both sides by 4 )
w = 5
row 2
2w + 2x = 24 ( substitute w = 5 )
2(5) + 2x = 24
10 + 2x = 24 ( subtract 10 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
row 3
w + 2x + y = 25 , that is
5 + 2(7) + y = 25
5 + 14 + y = 25
19 + y = 25 ( subtract 19 from both sides )
y = 6
row 4
w + x + y + z = 30 , that is
5 + 7 + 6 + z = 30
18 + z = 30 ( subtract 18 from both sides )
z = 12
For f(x) = -1/5x - 14 find x when f (x) = -8
Hi!
30 = x
f(x) = -1/5x - 14 find x when f (x) = -8
Set the equation equal to -8
-8 = -1/5x - 14
Add 14 to both sides.
6 = -1/5x
Multiply both sides by -5.
30 = x
Hope this helps! :D
Help a sis out ??
Write a function rule for the area of a triangle whose height is 4 in, more than twice the length
of its base. What is the area of the triangle when the length of its base is 16 in.?
A. A = 262 + b
C. A = 262 + b
A = 144 in?
A = 528 in.
B. A = b2 + 2b
A = 288 in
D. A = 262 + 4b
A = 576 in
O
D
B.
C
SES
Answer:
B
Step-by-step explanation:
let base be b then height h = 2b + 4
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then
A = [tex]\frac{1}{2}[/tex] b(2b + 4) ← distribute parenthesis
A = b² + 2b
When b = 16 , then
A = 16² + 2(16) = 256 + 32 = 288 in²