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
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Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Marvin has read?
Answer:
0.8 or 0.08 i believe
Step-by-step explanation:
hope this helps!
Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =
Answer:
y = - 3, x = 6
Step-by-step explanation:
15x + 31y = - 3
x = - y + 3
15(- y + 3) + 31y = - 3
-15y + 45 + 31y = - 3
16y + 45 = - 3
16y = - 48
y = - 3
x = - (- 3) + 3
x = 3 + 3
x = 6
Answer:
x = 6, y = -3.
Step-by-step explanation:
15x + 31y = -3
x = -y + 3
Substitute x = -y + 3 in the first equation:
15(-y + 3) + 31y = -3
-15y + 45 + 31y = -3
16y = -3 - 45 =-48
y = -3.
So x = -(-3) + 3 = 6.
what is the slop of 2x-5y=10
Answer:
2/5
Step-by-step explanation:
Subtract 2x from both sides
-5y = -2x + 10
Divide both sides by -5
y = 2/5 x -2
The slope is 2/5.
Write an exponential function to model each situation. Find each amount after the
specified time.
A population of 1,236,000 grows 1.3% per year for 10 years
9=[tex]9=\frac{2-4t}{t+3}[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Let's Solve for t ~
➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]
➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]
➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]
➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]
➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]
➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]
Answer:
t = (2 - 3q)/(q + 4).
Step-by-step explanation:
We cross multiply:
q(t + 3) = 2 - 4t
qt + 3q = 2 - 4t
qt + 4t = 2 - 3q
t(q + 4) = 2 - 3q
t = (2 - 3q)/(q + 4).
Given the function below, if h(x) = -1, find x.
h(x) = -6 + 20
Answer:
This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v
Step-by-step explanation:
Help me with this fractions work
Step-by-step explanation:
a. 5 2/5 can be converted to 27/5
Multiply the numerators and denominators of 7/9 and 27/5
You will get: 189/45
This can be simplified to 21/5
b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6
Using the same process as before, you get: 175/24
please tell me how do I answer questions. I repeat I need to know how to answer the questions? tell me please
Answer:
So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.
Step-by-step explanation:
1. Ask a teacher if you don't know answer to a certain subject you are studing
2. Practice makes perfect
3 . Discuss and work with partner
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
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#SPJ7
2x3 + 8x2 + 10x + 4 all potential roots and actual roots
Answer:
potential: {±1/2, ±1, ±2, ±4}actual: [-2, -1, -1}Step-by-step explanation:
The Rational Root Theorem tells you that potential rational roots are ...
±(divisor of constant term)/(divisor of leading coefficient)
Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...
±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots
Examination of the graph of the function shows the actual roots are ...
x = -2, -1 (multiplicity 2)
_____
Additional comment
Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)
Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.
PLEASE HELPPPP
4(x−2 1/4)=−3.7
What is the domain and range of the function f(x)=17?
In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?
Answer:
25%
Step-by-step explanation:
25 - 20 = 5
20/4 = 5
100 / 4 = 25
Answer:
20+25%=25% Ali Has increased 25%
Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating)
Answer:
160
Step-by-step explanation:
23.4456 x 6.66=156.147696 respectively.
156.147696 to the nearest ten is 160.
factor the expression 14x - 21 using the GCF
What is the value of the expression below when z=
5?
5z - 4
Answer:
Well we’ll just substitute
So 5z-4
And z is 5
5*5-4
25-4=21
The value is 21
A shopkeeper bought 24 bottles of fruit juice for $63 dollars.
She sold them for $2.95 each.
Calculate her percentage profit or loss.
Answer:
0.325
Step-by-step explanation:
$63 divide by 24 you'll get 2.625
then $2.95 minus 2.625 you'll get 0.325
cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)
Answer:
97
Step-by-step explanation:
four water bottles can hold 8 gallons of water how much water can ten big water bottles hold
Answer:
20 gallons of water.
Step-by-step explanation:
4 water bottles = 8 gallons
1 water bottle = 2 gallons
X = Number of Water bottles
N = Gallons Per Water Bottle
X * N
10 * 2
20
Help meee please thank you will mark brainlist….
Answer:
It's 47 because it's an isosceles triangle.
Step-by-step explanation:
Answer:
F is equal to 47
Step-by-step explanation:
G is equal to F
k + a/6 = 3k help b4 i cry my eyes out :’/
Answer:
Hope I explain it well!
Step-by-step explanation:
k + a/6 = 3k
well, I am not sure if we need to find the a, or the k, so lets find both!
--
First the a:
k + a/6 = 3k (subtract k)
a/6 = 2k (Multiply by 6)
a = 12k
--
Last, the k:
k + a/6 = 3k (Subtract k)
a/6 = 2k (Divide by 2)
a/12 = k
--
There you go, I hope you figure it out <3
Please help me :) triangles, and i need help Brainliest to correct answers!!! NO LINKS
Answer:
Step-by-step explanation:
ur mom
If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.
Answer:
4x²+ 4x +4
Step-by-step explanation:
g(f(x)) = (2x + 1)² + 3
= 4x² + 4x + 1 + 3
= 4x²+ 4x +4
Answer:
(4x^2) + (4x) + 4
Step-by-step explanation:
Let a = f(x) = 2x+1
g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4
There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters
Answer:
585
Step-by-step explanation:
Since there are 8 tanks and 5 barrels, you must add the two together,
[tex]8+5=13\\[/tex]
Then since there are 45 liters of oil in each containe, you have to multiply,
[tex]13x45=585[/tex]
There are 585 liters of oil
Examine Kaitlyn’s steps for solving the system of equations. â€"3x 2y = 8 3x 2y = â€"6 Step 1: 4y = 2 Step 2: y = 2 Step 3: â€"3x 2(2) = 8 Step 4: â€"3x = 4 Step 5: x = â€"1. 333 Kaitlyn found the solution to be (1. 3, 2). Is her solution correct? Explain. Yes, she correctly solved the system of equations. No, she made an error in step 1. The y variable should have been eliminated when adding the system of equations. No, she made an error in step 2. She should have found y = 0. 5. No, she substituted y into the wrong equation to solve for x in step 3.
The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
Given the system of linear equations:
-3x + 2y = 8 ---> eqn. 1
3x + 2y = -6 ---> eqn. 1
First add both equations together:
Step 1: 4y = 2
Next, divide both sides by 4:
Step 2: y = 2/4
y = 0.5
Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
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The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?
Answer:
V = B * H area of base * height
B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2
H = V / B = 600 cm^3 / 78.5 cm^2 = 7.64 cm
Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?
Answer: Minimum for $150: 2 Hours
Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!
x+1=x+2 is there a solution
Answer:
No Solution
Step-by-step explanation:
This is impossible. x+1 is not x+2
Variables are always the same: x=x
Answer:
No their isn't
Step-by-step explanation:
The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer
Answer:
3 units
Step-by-step explanation:
I hope it helps you!
Mark makes bouquet arrangements. He puts 1 tulip for every 4 daisies in each arrangement. The table below shows the number of tulips and daisies Mark uses for different arrangements.
Arrangement Daisies Tulips
1 4 1
2 8 2
3 12 3
4 16 4
How many daisies and tulips will there be in the 7th arrangement?
Following the proportions given in the table, it is found that in the 7th arrangement, there will be:
28 daisies.7 tulips.From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:
There are 4n daisies.There are n tulips.Hence, in the 7th arrangement, there will be:
28 daisies, as 4 x 7 = 28.7 tulips, as n = 7.You can learn more about proportions at https://brainly.com/question/24372153