Step-by-step explanation:
% increase in the no of pupils = {(750-680)/680} × 100 = 10.3%
% increase in the no of teachers = {(38-37)/37} × 100 = 2.7%
Solve the equation. Be sure to check for extraneous solutions.
The solution of the expression is,
⇒ x = - 160
What is an expression?An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
Given that;
The expression is,
⇒ log₄ (- 4x) - log₄ 10 = 3
Now,
We can solve as;
⇒ log₄ (- 4x) - log₄ 10 = 3
⇒ log₄ (- 4x/ 10) = 3
⇒ - 4x/10 = 4³
⇒ - 4x / 10 = 64
⇒ - 4x = 640
⇒ x = - 160
Thus, The solution of the expression is,
⇒ x = - 160
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. which is the better deal for you?
Answer:
drip
Step-by-step explanation:
please help to solve this
Answer:
☥ [tex] \underline{ \underline{ \red{\large{\tt{S \: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]
Let Cost Price ( CP ) be x☃ [tex] \large{ \tt{MP = x + 30\% \: of \: x}}[/tex]
➝ [tex] \large{ \tt{x + \frac{30}{100}x }}[/tex]
➝ [tex] \large{ \tt{x + 0.3x }}[/tex]
➝ [tex] \large{ \tt{1.3x}}[/tex]
☂ [tex] \large{ \tt{SP = 1.3x - 15\% \: of \: 1.3x}}[/tex]
⇾ [tex] \large{ \tt{1.3x - \frac{15}{100} \times 1.3x}}[/tex]
⇾ [tex] \large{ \tt{1.3x - 0.195x}}[/tex]
⇾ [tex] \large{ \tt{1.105x}}[/tex]
☼ [tex] \large{ \tt{Profit = SP - CP}}[/tex]
⟶ [tex] \large{ \tt{1.105x - x}}[/tex]
⟶ [tex] \large{ \tt{0.105x}}[/tex]
♨ [tex] \large{ \tt{P\% = \frac{Profit}{CP} \times 100 \%}}[/tex]
⤑ [tex] \large{ \tt{ \frac{0.105x}{x} \times 100\%}}[/tex]
⤑ [tex] \boxed{ \large{ \purple{\tt{10.5\%}}}}[/tex]
Hence , Profit % = 10.5 %
♕ Hope I helped ! ♡
☄ Have a wonderful day / night ! ♫
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Convert the degree measure into radians.
330°
A 11pi/6
B 11pi/3
C 6pi/7
D 4pi/3
Answer: A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
we have 2pi = 360°
=> 2pi× 330/360 = 360° × 330/360
=> 11pi/6 = 330°.
Please keep asking if you still have trouble understanding
Please help... this is overdue and i need to get it done- (20 points +brainly)
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. Make a ratio table of equivalent ratios to represent this ratio relationship. Your ratio table must show at least four different ratios. Include a copy of the ratio table in your answer.
Answer: 6/192, 1/32, 2/64, 3/96, etc.
Step-by-step explanation:
The scale drawing says that the length is 6 inches, and the actual length is 16 feet. First, we need to get both values into the same unit. 16 feet is 192 inches. So our base ratio is 6/192, or 1/32. Equivalent Ratios include 2/64 and 3/96. :)
ALGEBRA PROBLEM PLEASE HELP
Answer:
B, C, and F are functions
Step-by-step explanation:
What is the dontain of the function graphed below?
I’ll give brainliest to the real answer
Answer:
the third one.........
[-2,0] and (7,oo)
It is the only one that matches
HOPE This helps!
A farm grew 19.8 tons of wheat in 2013 the farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat, in tons, in 2015?
Answer:
D
Step-by-step explanation:
Here are the options
A 20+10+5
B 20(10)(5)
c 20+1.1+1.05
D 20(1.1)(1.05)
total output of wheat in a given year = total tons of wheat the previous year x ( 1 + rate of increase of wheat)
Total growth in 2013 = 1.098 x 19.8 = 20 tons
total growth in 2014 = 20 tons x (1 + 0.098) = 20 x 1.1
total growth in 2015 = 20 x 1.1 x 1.05
Angle rides her bicycle 2/3 mile to school on Friday she took a shortcut so that the ride to school was 1/9 mile shorter how was angle bicycle ride on Friday
Answer:
5/9 miles
Step-by-step explanation:
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope= -10/3, y- intercept=5
Answer:
y = -10/3x + 5
Step-by-step explanation:
Hi there!
We are given that a line has a slope of -10/3, and a y intercept of 5
We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!
Starting with the slope, substitute -10/3 as m in y=mx+b
y = -10/3x + b
Now for the y intercept, substitute 5 as b in the equation
y = -10/3x + 5
Hope this helps!
See more on this topic here: https://brainly.com/question/17788099
p and q are both prime numbers.
They are each less than 22
Give an example where p+q is odd but not prime.
You must only write the two numbers in the answer box.
0
Answer:
p = 2
q = 7
..................
The two numbers are,
⇒ p = 13 and q = 2
What are Prime numbers?
Prime number is a whole number greater than 1 whose only factors are 1 and itself.
Here, p and q are both prime numbers and each less than 22.
Now, Both number p and q are prime numbers.
Let p = 13 and q = 2
Clearly, The number 13 and 2 both are prime numbers and less than 22.
Hence, p + q = 13 + 2 = 15
Since, 15 is an odd number but not prime.
So, The two numbers are,
p = 13 and q = 2
Learn more about the prime numbers visit:
https://brainly.com/question/145452
#SPJ2
Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit
The required equation will be y ≤ 1/3 x - 4
The standard form of a linear equation is y = mx + b
m is the slope of the lineb is the y-interceptUsing the coordinate points (0, -4) and (3, -3)
m = -3+4/3-0
m = 1/3
Since the line cross the y-axis at y = -4, henc b = -4
Get the required equation;
y = mx + b
y = 1/3x - 4
Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4
Learn more inequality here: https://brainly.com/question/11613554
2x^2-2x-4=0 solve for x
1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.
Answer:
depends on the cases. they all have different uses
Math question!
Marta, a jeweler, has 78 ounces of gold. She needs
25 of an ounce for each pendant. How many pendants can she make? Show your thinking!
Answer:
3.12
Step-by-step explanation:
if you are in an algebra class write the let statements x = number of pendants
25x = 78 (divide by 25 on both sides)
x = 3.12
if you are not in an algebra class then just divide 78 by 25
can y’all help me with this, short answers btw ty!
Answer:
Hello!
Question 1: What is an earthquake? Answer: An earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves.
Question 2: What are faults? Answer: In geology, a fault is a planar fracture or discontinuity in a volume of rock across which there has been significant displacement as a result of rock-mass movements.
Question 3: Why are earthquakes more likely to occur near faults? Answer: Notice that many plate boundaries do not coincide with coastlines. Earthquakes can also occur far from the edges of plates, along faults. Faults are caused by all that bumping and sliding the plates do. They are more common near the edges of the plates.
Question 4: What happens when the plates grind against each other? Answer: An earthquake is caused by the movement of Earth's crustal plates grinding against one another.
Question 5: Is it true that when vibrations reach earth surface as earthquakes occur? Answer: Yes! It's true that it vibrates near the earth surface!
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
Multiply (2.3 x 10^-5) (3.1 x 10^12
Answer:
71300000
Step-by-step explanation:
See the image below:)
 Please answer correctly !!!!Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Hello! Your answer would be, C)
Step-by-step explanation:
Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥
Solve the following expression when
x = 7 and y = 2
(y + 2) · (x + 4 – 5)
Answer:
24
Step-by-step explanation:
4 x 6 = 24
In a geometric sequence, g(3) = 1 and g(8) = 32. Which recursive definition produces this geometric sequence?
Step-by-step explanation:
a geometric sequence means every new element is created by multiplying the previous element always with the same number.
a n = a n-1 * number
a n = a1 * number^(n-1)
=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)
=> 32/1 = number^5
=>
[tex]number = \sqrt[5]{32} [/tex]
number = 2
and what is the starting a1 ?
it must satisfy e.g. a3
1 = a1 * 2^2
=> a1 = 1/4
therefore, the requested definition looks like
g(1) = 1/4
g(n) = g(n-1) * 2
Volume of a hexagonal prism with a base side length of 2 inches and a height of 8 inches, the prism is regular. Also it would be a big help if you could calculate the lateral area and the total area. Thanks so much
Answer:
V≈83.14
AL=96
Surface A≈116.78
Base A≈10.39
Step-by-step explanation:
Step-by-step explanation:
base area of hexagonal prism =
6× ½×(2)(2)× sin 60° (regular prism)
= 12×½√3 = 6√3 sq. inches
Volume = base are x height
= 6√3 x 8 = 48√3 cu. inches
or 83.14 cu. inches
the lateral area = 6 × (2×8) = 96 sq. inches
total area = 2×(6√3) + 96
= (12√3 + 96) sq. inches
or 116.78 sq. inches
The measure of an angle is 14.2°. What is the measure of its complementary angle
Answer:
75.8º
Step-by-step explanation:
The sum of complimentary angles is 90º
c + 14.2 = 90
Subtract 14.2 from both sides
c = 90 - 14.2
c = 75.8º
Pls help with all of them
Answer:
Blue area ~ 25π
Blue circumference ~ 10π
Pink area ~ 36π
Pink circumference ~ 12π
Grid area ~ 9 π
Grid Circumference ~ 6π
Red area ~ 49 π
Red Circumference ~ 14 π
Step-by-step explanation:
have a good day!! :)
Please help me with this
Answer:
(3x6) / 6 is the correct answer
Answer:
(3. 6)/618/63Thus 3 is the answer to the question
What is the solution to this system of equations?
3x-2y=5
x+2y=7
x=_, y=_
Step 1) Solve the second equation for
x
:
x
+
3
y
=
−
5
x
+
3
y
−
3
y
=
−
5
−
3
y
x
+
0
=
−
5
−
3
y
x
=
−
5
−
3
y
Step 2) Substitute
−
5
−
3
y
for
x
in the first equation and solve for
y
:
3
(
−
5
−
3
y
)
−
2
y
=
7
−
15
−
9
y
−
2
y
=
7
−
15
−
11
y
=
7
15
−
15
−
11
y
=
15
+
7
0
−
11
y
=
22
−
11
y
=
22
−
11
y
−
11
=
22
−
11
−
11
y
−
11
=
−
2
y
=
−
2
Step 3) Substitute
−
2
for
y
in the solution to the second equation at the end of Step 1 and calculate x:
x=−5−(3×−2)
x=−5−(−6)
x=−5+6
x=1
The solution is x=1 and y=−2
Answer:
Step-by-step explanation:
Can someone help me?
Answer:
1 feet
Step-by-step explanation:
15-14
The profit P, in millions, of Company A is given by the equation P=7.5x +17, where x is the number of years in business. The profit P, in millions, of Company B is given by the equation P=4.1x +12. Write a polynomial equation to give the "difference" in profit D after x years.
Answer:
The polynomial equation to give the difference in profit D after x years is:
D = 3.4x + 5Step-by-step explanation:
To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:
Profit Company A = 7.5x +17Profit Company B = 4.1x +12Difference between profits (D) = 7.5x +17 - (4.1x + 12)And we operate:
D = 7.5x + 17 - 4.1x - 12D = 7.5x - 4.1x + 17 - 12D = 3.4x + 5We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:
Profit Company A = 7.5x +17Profit Company A = 7.5 * (3) +17Profit Company A = 22.5 +17Profit Company A = 39.5 millionsProfit Company B = 4.1x + 12Profit Company B = 4.1 * (3) + 12Profit Company B = 12.3 +12Profit Company B = 24.3 millionsNow, we subtract the two values:
Difference between profits = 39.5 millions - 24.3 millionsDifference between profits = 15.2 millions.At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):
D = 3.4x + 5D = 3.4 (3) + 5D = 10.2 + 5D = 15.2As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.
Answer:
D=0.5x+2
$7000000
Step-by-step explanation:
Select all the correct answers, Consider functions and g. /(x) = –2008(– 1) + 3 g(1) = 2cos(t + 3) – 3
Which statements describe transformations of the graph of fresulting in the graph of function g? A.The graph of function Fhas been reflected over the x-axis. B. The graph of function Fhas been reflected over the v-axis. C. The graph of function fhas been translated 3 units down. D. The graph of function has been translated 3 units left E. The graph of function fhas been translated 4 units left. F. The graph of function has been vertically stretched by a factor of 4
Answer:
Reflected over the x axis and translated 4 units left
Step-by-step explanation:
Just took the test and got 5/5 :)
Answer:
Reflected over the X axis
Tanslated 4 units left.
Step-by-step explanation:
Plato 5/5
Solve the equation f/2 +9=4 how can you isolate the variable F 
Answer:
F= -2.5
Step-by-step explanation:
divide both sides by two in order to isolate f.
by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f
then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5
The value of f in the equation is -10.
What is a Variable?'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'
According to the given problem,
First we need to isolate the variable f:
⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]
Now, transposing 9 to the right hand side,
⇒ [tex]\frac{f}{2}[/tex] = 4 - 9
⇒ [tex]\frac{f}{2} = -5[/tex]
⇒ f= ( -5 * 2 )
⇒ f= -10
Hence, the required value of the variable f is -10.
Learn more about linear equations here:
https://brainly.com/question/11897796
#SPJ2
Can someone please help me?
Answer:
hello it is Alana btw i dk if u remember me tho, but if you do imma get my phone back in august and my old acc got deleted so yeah
Step-by-step explanation: