Answer:
(a): 10 civil servants who were absent.
(b): 15 civil servants are in field only.
Step-by-step explanation:
Let;
Civil servants in office be oCivil servants in field be f[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]
Question (a):
Let the absentees be x
[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]
There are 10 absentees.
Question (b):
Servants in field only;
[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]
[tex]\sf -(6-4x)[/tex]
Answer:
[tex] - (6 - 4x) = - 6 + 4x[/tex]
Answer:
[tex]-6+4x[/tex]
Step-by-step explanation:
[tex]-(6-4x)[/tex]
[tex]\mathrm{Distribute\:parentheses}[/tex]
[tex]=-\left(6\right)-\left(-4x\right)[/tex]
[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=-6+4x[/tex]
K minus 10 over 2 = -7
Hey there!
k - 10/2 = -7
k - 5 = -7
ADD 5 to BOTH SIDES
k - 5 + 5 = -7 + 5
CANCEL out: -5 + 5 because that gives you 0
KEEP: -7 + 5 because it helps solve for the k-value
NEW EQUATION: k = -5 + 7
SIMPLIFY IT & YOU HAVE YOUR ANSWER!
k = -2
Therefore, your answer is: k = -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)
Answer:
2×2=4
9x+2=11x
1-6x=4x
x²-4=16
=16¹⁵x
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X - 4
5X + 2
Step-by-step explanation:
i think is this the answer
5×-4=-20
-20+2=18
jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day
Answer:
0.8 km per day
Step-by-step explanation:
5 3/5 is the same as 5.6, so
5.6/7
= 0.8 km per day
A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer
Answer:
7.8 or 8
Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.
5^2 is 25 and 6^2 is 36
Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.
why is 0.384 lighter then 0.3798
When r= 1 , h=2.4 find r in terms of h
Answer:
r= 5/12 h
Step-by-step explanation:
r/h = 1/2.4
r =[tex]\frac{10}{24}[/tex]h
r=[tex]\frac{5}{12}[/tex]h
The ratio of girls to boys in a class is 6 to 8. If there are 27 girls in the class, how many boys are there?
x = 36 boys
x = 40 boys
x = 32 boys
x = 46 boys
Answer:
36
Step-by-step explanation:
6:8
27/6 = 4.5
8 · 4.5 = 36
Describe the solution set for the equation below.
−29+5x=5(x−5)
One Solution
One Solution
No Solution
No Solution
Infinitely Many Solutions
kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?
Answer:
Around 19 rows
Step-by-step explanation:603/31= 19.40 so I'm not too sure
where is the √ 125 on a number line
Answer:
im 11 and
Step-by-step explanation:
i just need points i have -32
Brainliest reward need brief working out
Answer:
1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³
2. about 1.47 kg
3. can't tell what the volume of 1 jar is
Step-by-step explanation:
The relationship between volume, mass, and density is ...
mass = volume × density
Solving for volume, we find ...
volume = mass ÷ density
__
(a) 50 g/(0.4 g/cm³) = 125 cm³
(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)
(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)
(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)
_____
The volume of the cylinder is ...
V = πr²h
V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³
Using the above relation, we find the mass to be ...
mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg
_____
We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.
The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)
_____
Additional comment
We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.
| x | < 2
solve the inequality and then graph the solution
Answer:
Any number smaller than 2
Step-by-step explanation:
You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2
5 3/4 times 1 3/4 and simplified
Answer:
I believe the answer will be 27/3
order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest
Answer:
2^9=512
5.9*10^2=590
9^3=729
5^4=625
6.81*10=68.1
6.81 × 10¹, 2⁹, 5.9 × 10², 5⁴, 9³
The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000
Answer:
4860
Step-by-step explanation:
Get the product of twenty and three, then multiply that to three again, repeat this for three more times.
120% of what number is 102
Answer:
122.4 i think
Step-by-step explanation:
First person to answer CORRECTLY will get brainliest and extra points!!
Answer:
y=15
Step-by-step explanation:
Mr. Rossi works 20 days a month. How far does he drive in a month?
Answer:
No solution
Step-by-step explanation:
How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.
HELP!!!! I WILL GIVE 100 POINTS!
Answer:
x = 17y = 18Step-by-step explanation:
8x - 17 + 3x + 10 = 180 => 11x - 7 = 180=> 11x = 187=> x = 187/11=> x = 17=> 8(17) - 17 = 6y + 11=> 136 - 17 - 11 = 6y=> 108 = 6y=> y = 18Conclusion:
Therefore:
x = 17y = 18Hoped this helped.
[tex]GeniusUser[/tex]
If ab =12 and a²+b²=25, then (a+b)²= ?
Recall that
(a + b)² = a² + 2ab + b²
Then
(a + b)² = 25 + 2•12 = 49
What is the length of Line segment G D? GD =.
The length of the line segment GD is 10.5
To get the length of the line segment GD, we will use similarity theorems of triangles to have:
ED/FD = GD/DH
Substitute the given sides to have:
6+GD/(8+14) = GD/14
6+GD/22 = GD/14
Cross multiply
22GD = 14(6+GD)
22GD = 84 + 14GD
22GD - 14GD = 84
8GD = 84
GD = 84/8
GD = 10.5
Hence the length of the line segment GD is 10.5
Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716
Can someone help me :
Which ordered pair is a solution to the equation? 3x-4y=13
A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)
Need asap (will give brainliest to the best answer*
solve one step equation
x + 8 = -10
Answer:
[tex]x=-10-8 = -18[/tex]
Step-by-step explanation:
Answer:
x=-10-8=18
Step-by-step explanation:
41 - 17=
i know it's 28 but i can't really do math
what does 2/6 - 6/12 equal in fractions pleeeeeaaaase.
Answer: -1/6
You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.
4/12 - 6/12 = -2/12 which you can simplify further to get -1/6
Find the value of N the expression 24 : N = 12 : 17.
Answer:
N = 34
Step-by-step explanation:
METHOD I
(hit and trial)
The given two ratios have to be equal.
This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.
The common factor here is 2.
Since,
12 × 2 = 24
17 × 2 = 34
[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]
(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).
METHOD II
(mathematical approach)
Ratios can be written in form of fractions as:
[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]
Cross multiplying:
[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]
taking 12 to the denominator:
[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]
24 and 12 gets canceled and 2 takes up their spot
(why?
=> 24 ÷ 12 = 2)
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{ N = 34 } [/tex]
[tex] \implies \mathsf{ N = 34} [/tex]
HELP ME GUYS PLEASE ! :)
in order:
y=6
y=16
y=26
y=31