Given,
Total number of assemblers = 20
They work a job in 6 hours.
To find,
Time to complete the work if the number of assemblers is cut back to 12.
Solution,
Initially,
20 assemblers = 6 hours
1 hour = [tex]\dfrac{20}{6}[/tex] assemblers
If assemblers are 12 then,
[tex]t=\dfrac{20}{6}\times 12\\\\=40[/tex]
Hence, 40 hours will be required if the number of assemblers is cut back to 12.
if a rectangle have length of 10 inches and width of 8 inches what is the new area if each corner is cut by x^2
Answer:
[tex]80 - 4x^2[/tex]
Step-by-step explanation:
Area of a rectangle
A rectangle of width W and length L has an area of:
A = W.L
The given rectangle has a length of L=10 inches and a width of W=8 inches, thus its area is:
A = 8*10 = 80
[tex]A = 80\ in^2[/tex]
If each corner is cut by a square of x*x, then the total area will be:
[tex]A' = 80 - 4x^2[/tex]
The new area is [tex]\mathbf{80 - 4x^2}[/tex] square inches
if a,b,c,d are in continuous proportion then prove that (c+a) (c+d) = (b+c) (b+d)
Answer:
We must prove that (c+a)(c+d) = (b+c)(b+d)
Let us use principles from mathematical induction [tex] \frac{a}{b} = \frac{b}{c} = \frac{c}{d} = x[/tex]a=bx , b=cx, c=dxa+c = b + c c +d = b + d Such that (a+c)(c+d)=(b+c)(b+d)Rate positively and give brainlist
20 POINTS PLS HELP
(((95*26)-470)/16)-35=______________
not 4 a test
Answer:
90
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(((95 × 26) - 470)/16) - 35
Step 2: Evaluate
(Parenthesis) Multiply: ((2470 - 470)/16) - 35(Parenthesis) Subtract: (2000/16) - 35(Parenthesis) Divide: 125 - 35Subtract: 90Mario is playing an online puzzle game. He has 50 points and earns 3 points
for each puzzle he solves correctly. He will advance to the intermediate level
if his score is over 80 points.
Answer:
I think there might be more to this question, but the answer I have is
3x + 50 > 80
Step-by-step explanation:
If he has 50 points, needs higher than 80 points to advance to the intermediate level and receives 3 points for every puzzle he solves correctly, he must multiply the 3 by something to add to 50 to get a total amount higher than 80. Thus, 3x + 50 > 80 is the appropriate answer. Have a good day!
Answer:
the answer is 50x + 3 >80
Step-by-step explanation:
Given the points (-1,1) and (-2,1) on the line find the equation of the line
Please solve this all of it thx!!
Answer:
6,24,12,16,18,4
Step-by-step explanation:
Brainliest please
Happy holidays
MERYY CHRISTMAS!PLEASE HELP! I need help I will give brainlist
1. Write an equation of a line that has a slope of "negative one-half" in each
form: a) point-slope form b) slope-intercept form.
2. Describe how linear data given in a table can help you write an equation of
a line in slope-intercept form.
the perimeter of a rectangle is 72 ft. the ratio of the length to width is 5:4. what are the dimensions of the rectangle?
Answer: 20 by 16
Step-by-step explanation:
5:4 OR 5x:4x
Perimeter = 2(l x w)
P = 2(5x x 4x)
P = 10x + 8x = 18 x
18x=72
x=4
5 x 4 = 20
4 x 4 = 16
Can someone help me on the assignments please!!!
I am not so good at math and show your work do everything you can thank you.
so that's
$300,000
*30*4/100
$36,000
2
prob. = total probs./no of probs
=0.35+0.45/2
=0.575
sweetie please verify tou answer am not 100% sure but that how it should be done
please I need brainliest thanks
15 by 20 by 50 by 40 by 0
answer and you become a brainliest
im 15 yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
The rectangular rug in Marcia's living room measures 12 feet by 72 inches.
What is the rug's area in square feet?
Answer:
109 square feet.
Step-by-step explanation:
109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60
Area = L*w
L = 545/60 feet
W = 12 feet
Area = 545/60 * 12
Area = 545*12/60
Area = 545 /5 = 109 square feet
Step-by-step explanation:
109 square feet.
Step-by-step explanation:
109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60
Area = L*w
L = 545/60 feet
W = 12 feet
Area = 545/60 * 12
Area = 545*12/60
Area = 545 /5 = 109 square feet
Jason says the quotient 517 ÷ 5 is 103 r 2. Use multiplication to show if Jason's answer is correct.
Answer: No Jason is not orrect the anwser is 103.4 x 5= 517
Step-by-step explanation:
ok so first you have to multiply 103.2 times 5 but that gives you 516 so the correct anwser is 103.4 x 5 = 517
help pls :) !!!!!!!!!!!!!!!!!
Answer:
[tex]\displaystyle \text{A) }-\frac{2\pi}{3}[/tex]
Step-by-step explanation:
Trigonometric Functions
Horizontal shifts of trigonometric functions are changes that affect the input axis values and shift the function left or right.
If the function is to be shifted left a units, then the variable x is replaced by x+a and if the function is shifted right a units, then x is replaced by x-a.
The function is:
[tex]y=2\cos\left(x+\frac{2\pi}{3}\right)+1[/tex]
Note the argument of the cosine is [tex]x+\frac{2\pi}{3}[/tex] which means the value of a is [tex]-\frac{2\pi}{3}[/tex] and the function is shifted left by [tex]\frac{2\pi}{3}[/tex].
Answer:
[tex]\displaystyle \text{A) }-\frac{2\pi}{3}[/tex]
(v^3-2v^2-78v+16) / (v+8)
Answer:
v^2-10v+2
Step-by-step explanation:
(v^3-2v^2-78v+16) /(v+8)
Factor
(v+8)(v^2-10v+2)/(v+8)=v^2-10v+2
Triangle A'B'C' with coordinates of A' (-6,2)
Answer: (A), (B) and (E).
Step-by-step explanation: Given that ΔA’B’C’ with coordinates of A(-6,2),B’(-4,2), and C’(-6,-2) is the image of ΔABC after a translation of (x-3,y+2). We are to find the possible coordinates for the original vertices of ΔABC.
For vertex A, we have
So, the coordinates of vertex A are (-3, 0).
For vertex B, we have
So, the coordinates of vertex B are (-1, 0).
For vertex C, we have
So, the coordinates of vertex C are (-3, -4).
Which of the lines graphed has a slope of 3 and a y-intercept of 2?
Answer:
A
Step-by-step explanation:
PLEASE HEEELP
Select the correct answer from each drop-down menu. Max used these steps to find the inverse of function f. 5 Step 1 given 5 Step 2 y = change f(x) to y 5 Step 3 1 = 64 6 switch x and y 5 Step 4 + 6y 1 add 6 to each side Step 5 + + 5 36 5 multiply each side by 6 y 6x + = 1-1 (3) Step 6 replace y with 1-1(4) Use this information to complete the statement. Max made a mistake in y he should have
Answer:
Step-by-step explanation:
Please solve and explain the two problems.
Answer/Step-by-step explanation:
If two triangles are similar, their corresponding angles would be of equal measure of degree.
8. The 3rd angle of the smaller ∆ is x = 76°, while that of the larger ∆ is y = 44°. As we can see, the corresponding angles of both ∆s are not congruent or equal to each other. Therefore they ARE NOT SIMILAR.
9. x = 43°, while y = 106°.
Both triangles have corresponding angles that are congruent to each other.
Therefore, both triangles ARE SIMILAR.
ILL GIVE BRAINLEST
Answer:
it would be increasing.
Step-by-step explanation:
Answer:
its inreasing happy to help brainlest plz
Step-by-step explanation:
part 1
Solve the following equation
3(2y + 4) = -2y + 20
(show steps)
part2
what is the value of y?
Answer:
1
Step-by-step explanation:
3(2y+4)=-2y+20 distribute
6y+12=-2y+20 isolate variable
8y+12=20 subtract number
8y=8
y=1
Hope this helps plz hit the crown :D
Unit Rate ez pls help
Answer:
it can print 24 pages in 15 minutes which means it can print 72 pages in an 3/4 of an hour. 96 in 1 hour, and
Step-by-step explanation:
Write an equation in slope-intercept form of the line with slope −45 that contains the point (−5,−4).
Answer:
(-5,-4)x=45
Step-by-step explanation:
which function listed below represents a greater rate of change, and what is the slope of the function?
A. Function 2 has a greater rate of change; the slope is 4.
B. Function 2 has a greater rate of change; the slope is 3.
C. Function 1 has a greater rate of change; the slope is 1.
D. Both functions have equal rates of change; both slopes are 3.
Answer:
B
Step-by-step explanation:
i cant explan for this quasion but i am not understand this quation
The Cyclops and Dragon both have a lot of friends that are serving as bridesmaids and groomsmen. Also, the King is acting as the officiant of the ceremony. Poly determines that the best way to organize everyone is for the officiant to stand at a vertex at the front, and to have the bride and groom stand across from each other. The bridesmaids and groomsmen will then line up so that the entire group forms a "U" shape that is symmetric about a line that passes through the point where the officiant stands.
What type of function most accurately models this structure?
quadratic
radical
linear
rational
Answer:
quadratic
Step-by-step explanation:
Find the value of x and the values of the missing angles. 12 points!
Answer:
X=30
Step-by-step explanation:
4x+x+x=6x 180/6=30 so 4x= 120
x on the bottom left is just 30 and x on the right is 30x3
n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 280 vans, they found a mean MPG of 37.8. Assume the standard deviation is known to be 2.3. A level of significance of 0.05 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Step-by-step explanation:
We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out if there is an incorrect MPG rating from the manufacturer
Test Hypothesis :
Null hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ ≠ μ₀
Significance Level α = 0,05 α/2 = 0,025
z(c) for α/2 from z-table z(c) = - 1, 96 and by symmetry z(c) = 1,96
Calculating z(s)
z(s) = ( μ - μ₀ ) / σ /√n
z(s) = ( 37,8 - 37,4 ) / 2,3 /√280
z(s) = 0,4 * 16,73 / 2,3
z(s) = 2,90
Comparison between z(c) and z(s)
z(s) > z(c) 2,90 > 1,96
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
StartFraction 2 Over n EndFraction = two-thirds
a.
n = 30
c.
n = 3
b.
n = three-fourths
d.
n = 1 and one-third
Answer:
3 Kfc
Step-by-step explanation:
2/3 times 9/2 is 18/6 which gives you 3
Dina wants to earn money to save for a car so she decided to make beaded bracelets to sell at a local Farmer’s Market. She rented a table for $15 and set up her shop. Each bracelet that she makes cost approximately $1.75 for materials. She sells each bracelet for $6.00.
How much profit will she make from each bracelet, not including the table rental?
(A.) $1.75
(B.) $6.00
(C.) $4.25
(D.) $7.75
True or False: Only items that cannot be replaced or that would be expensive or hard to replace should be put in a safe deposit box.
Jason’s checkbook had a balance of $525.02 on May 5. On May 6, he wrote a check for $107.65 at the grocery store. On May 8, he wrote a check for $228.00 for his car payment. On May 9, his grandmother sent him $55.00 and he deposited this in his account.
What is the balance of Jason’s account after this deposit?
Answer:
Jason has $244.37 in his bank account.
Step-by-step explanation:
This is simple addition and subtraction,
525.02 - 107.65 - 228.00 + 55.00 = bal