Step-by-step explanation:
The number of employees before the layoff = 2000
What is percentage?"It is a number can be expressed as a fraction of 100."
For given question,
Let 'n' be the the number of employees before layoff.
A company laid off 80% of its work force.
The number of employees after the layoff is 400.
The number of employees after the layoff would be,
⇒ n - (80 percent of n) = 400
[tex]\Rightarrow n-(n\times \frac{80}{100} )=400\\\\\Rightarrow n[1-0.8]=400\\\\\Rightarrow n\times 0.2=400\\\\\Rightarrow n=2000[/tex]
Therefore, the number of employees before the layoff = 2000
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The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the two legs if the hypotenuse is 34 feet.
Answer:
side a = 30 feet long.and side b = 30-14 = 16 feet long.
Step-by-step explanation:
Right triangle, with sides a, b=a-14 and h=34
By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196
Simplify to get 1156 = 2a2 - 28a + 196
Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0
Divide all terms by 2: a2 -14a - 480 = 0
Use quadratic equation to find that a = 30 or a = -16.
a = -16 will not work.
Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.
Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.Right triangle, with sides a, b=a-14 and h=34
By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196
Simplify to get 1156 = 2a2 - 28a + 196
Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0
Divide all terms by 2: a2 -14a - 480 = 0
Use quadratic equation to find that a = 30 or a = -16.
a = -16 will not work.
Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.
Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.
The side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The shorter leg of a right triangle is 14 feet less than the other leg.
From the Pythagoras theorem:
hypotenuse² = perpendicula² + base²
perpendicular = base - 14
34² = (base - 14)² + base²
34² = base² - 28base + 196 + base²
2base² - 28base - 960 = 0
base = 30, -16
side length cannot be negative
base = 30 feet
The length of another leg:
perpendicular = 30 - 14 = 16 feet
Thus, the side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.
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11. What is the mass of 30,000 molecules? Express your answer in scientific notation 0
Answer:
the mass of 30,00 molecules of oxygen is gram
Step-by-step explanation:
plz brainliest
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
Answer:
85 degrees.
Those two quads are Similar polygons. Just match up the shape and basically do 360 - 110 - 75 - 90 = 85.
2. If y varies inversely as the square root of x, find the percentage change in y when x is
increased by 21%.
The percentage increase in the value of y due to the increase in x by 21% is 10%
Inverse relationship :
y α 1/√ny = k/√x - - - - - - (1)
Increase in x by 21% = 0.21
y = k/√1+0.21x
y = k/√1.21x
y = k/ 1.1√x - - - (2)
Comparing the (1) and (2)
y has changed from 1 to 1.1
Increase in y = (1.1 - 1) = 0.1
Expressing the increase as a percentage :
0.1 × 100% = 10%
Hence, the percentage increase in y is 10%
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Does anyone know how to do GCF
Answer:
Hope this helps!
Step-by-step explanation:
List the prime factors of each number.
Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
Multiply all the circled numbers. The result is the GCF.
Good afternoon nah I get some help in this question today
Answer:
c
Step-by-step explanation:
c
Find the slope of the line.
Answer:
3/4
Step-by-step explanation:
rise/run = 3/4
Solve for n.
A.
n = 27
B.
n = 9
C.
n = 3
D.
n = 216
Answer:
6
Step-by-step explanation:
n over 81 = 2 over 27 = 27n over 27 = 2×81 over 27 =6
what is −4 1/3 ÷( −2 3/5)
Answer:
5/3
1.6
Step-by-step explanation:
mixed number from: 1 2/4
Aiyana needs 3/8 pounds of sweet potato for each serving of sweet potato fries she can make with 1 1/2 pounds of sweet potato.
Answer:
four servings
Step-by-step explanation:
solve the following problem below
The perimeter of a
triangle is 42cm.
The sidelengths
are x,x+2 and
x+4, what is the
length of the longest
side ?
Answer:
The longest side is 16 cm
Step-by-step explanation:
[tex]x + (x + 2) + (x + 4) = 42cm \\ x + x + 2 + x + 4 = 42cm \\ 3x + 6 = 42cm \\ 3x = 36cm \\ x = 12[/tex]
check and finish
[tex]12 + (12 + 2) + (12 + 4) = 42cm \\ 12 + 12 + 12 + 6 = 42 cm\\ 36 + 6 = 42cm \\ 42cm = 42cm[/tex]
lengths of sides
[tex]12 + 4 = 16cm \\ 12 + 2 = 14cm \\ 12cm[/tex]
shriya measured four nails using a ruler. then she showed the lenghts on a line plot which line plot correctly shows the lenghts of the nails.
pls help its due tommorow!!
Tim ran 3/5 of a trail on Tuesday and then ran a different 2/3 of the trail on Wednesday. How much of the trail had he covered on the two days?
how many irrational numbers are there between 6 and 7 ?
At Home Depot you can get 30 ornaments for $15 at target you can get 20 ornaments for nine dollars which is a better deal
Answer:
Target
Step-by-step explanation:
Home depot
15 dollars/ 30 ornaments = .50 per ornament
Target
9 dollars/ 20 ornaments =.45 per ornament
Target costs less
Answer:
Target is cheaper .45 each
Home Depot is .50 each
Step-by-step explanation:
Look at picture CORRECT ANSWER GETS BRAINEST
Answer:
-2 1/10
Step-by-step explanation:
This simplifies to 21/4 divided by 5/2. Keep, change, flip. 21/4 x -2/5. -42/20 which equals -2 2/20 which simplifies to -2 1/10.
write the Quotient for the following 5 1/3 ÷2
Answer:
34
Step-by-step explanation:
51/3/2=51x2/3=102/3=34
5 1/3 divided by 2 is actually 2.6 or 8/3
What is the answer to the question?
Answer:
the answer is option 4th
A point estimate of the percentage of defectives in all manufactured bulbs is_____.
Answer:
inih bagus menurut kamuh inih bagus tidak
A point estimate of the percentage of defectives in all manufactured bulbs is the Sample proportion.
How to find a point estimate of a proportion?
p'= x / n where x is the number of successes and n is the sample size. The variable p is the sample ratio and serves as a point estimate of the true ratio of the population.
Point estimation for population parameters is a single value for statistics. For example, the sample mean x is a point estimate of the population mean μ. Similarly, the sample ratio p is a point estimate of the population ratio P.
The average point estimate for the population is obtained by calculating the average of the samples taken from the population. The average calculation is the sum of all samples divided by the number of values.
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Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay.
Answer: This person worked 40 hours at a $7.50 rate.
Step-by-step explanation: Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay. This person worked 40 hours at a $7.50 rate.
-3x+12<18 please help
Answer:
[tex] - 3x + 12 < 18 \\ - 3x < 18 - 12 \\ - 3x < 6 \\ - x < \frac{6}{3} \\ - x < 2 \\ x > - 2 \\ thank \: you[/tex]
Answer:
x > -2
Step-by-step explanation:
Q. Solve the inequality.
-3x + 12 < 18
Solve for x.
-3x + 12 < 18Step 1:- Move constant to the right hand side and change their sign.
-3x < 18 - 12Step 2:- Subtract.
-3x < -6Step 3:- Divide both side of the inequality by -3 and flip the inequality sign.
x > -2Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions to their correct answers.
Answer:
#1- 6 4/9 - 3 2/9 - 8 2/9 = - (6 + 3 + 8 + 4/9 + 2/9 + 2/9) = - (17 + 8/9) = - 17 8/9#2-12.48 - (-2.99) - 5.62 = - (12.48 + 5.62) + 2.99 = - 18.1 + 2.99 = - 15.11#3- 19 2/9 - 4 1/9 - (- 3 4/9) = -23 3/9 + 3 4/9 = - 19 8/9#4-353.92 - (-283.56) - 131.29 = - (353.92 + 131.29 - 283.56) = - 201.65$583 1/5 - 108 2/5 - (- 99 1/5) = 83 1/5 + 99 1/5 - 108 2/5 = 74Jessica makes her favorite shade of purple paint by mixing blue paint and red paint in a ratio of 3 : 2
Answer:
In fraction form, it would be 3/2
Select the locations on the number line to plot the points −212 and 612.
may give brainleist and thanks
Answer:
See below
Step-by-step explanation:
The points are located:
-2 1/2 = -2.5 is in between -2 and -36 1/2 = 6.5 is in between 6 and 7See the attached
Please Help
Rotate MAP 90° degrees clockwise about point P. List the new ordered pairs.
Pre Image MAP:
M: (-3, 4)
A: (-7, 7)
P: (-7, -1)
Answer:
M' (-2 , -5), A'(1 , -1), P'(-7 , -1)
Step-by-step explanation:
Rotation clockwise 90° = rotation CCW 270°
Formula for rotation CCW 270° around a point (x',y') for original (x,y)
x'' = (x-x') cos 270° - (y-y') sin 270° + x'
y'' = (x-x') sin 270° + (y-y') cos 270° + y'
cos 270° = 0 and sin 270° = -1
x'' = - (y-y') sin 270° + x' = (y-y') + x'
y'' = (x-x') sin 270° + y' = (x'-x) + y'
M': x = (4 - -1) + (-7) = -2
y = (-7 - -3) + (-1) = -5
A': x = (7 - -1) + (-7) = 1
y = (-7 - -7) + (-1) = -1
check
P': x = (-1 - -1) + (-7) = -7
y = (-7 - -7) + (-1) = -1
-------------------------------------------------
Another way of thinking is to suppose P is (0,0) and locate other points' coordinate relative to P. Such as M(4,5), A(0,8)..
when it rotate CW 90° (x,y) -> (y , -x) will becomes (5 , -4) and (8 , 0). while (5 , -4) relative to p(-7 , -1) is (-7+5 , -1-4) i.e. ( -2 , -5) at original plane and (1 , -1) for point A'
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The number of CRT and LCD monitors in a company are in the ratio 2:5. If the total number of monitors in the company is 49, how many of them are LCD monitors?
Answer:
35 LCD monitors.
Step-by-step explanation:
The ratio is 2:5, which means the total amount of parts is 7 (2 + 5 = 7).
There are 49 monitors in all. Divide 49 with 7:
49/7 = 7
Each part has 7 monitors within. Remember, there are 5 parts of LCD monitors compared to 2 CRT monitors. Multiply 7 with 5:
7 x 5 = 35.
There are 35 LCD monitors, and 14 CRT monitors.
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Rewrite in simplest terms: (9x+10y)-(-x+9y)(9x+10y)−(−x+9y)
Answer:
9x + 10y - (-x + 9y) (9x + 10y) + x -9y
Step-by-step explanation:
r(t) = < V4-t2, e-3t , In (t +1) >
Answer:
(1,-2)
Step-by-step explanation:
Pt=3x+8and TQ =5x-6 PT=?