Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
[tex]\frac{1}{2} = \frac{x}{540}[/tex]
Cross multiply
[tex]2x = 540(1)[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]
Therefore, the number of qualified teachers is 270.
Learn more about ratio here:
https://brainly.com/question/21768124
Please helpppppp????
Answer:
hii
Step-by-step explanation:
which question do you want
x – Зу +8x47+ 15 – 4у
Answer:
X-7y+391
Step-by-step explanation:
First multiply
8x47=376
Now group those that are the same together
X-3y -4y+376 +15
X-7y+391
Answer:
x - 7y + 391
Step-by-step explanation:
[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]
[tex]x - 3y + 376 + 15 - 4y[/tex]
[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]
[tex]x - 7y + 376 + 15[/tex]
[tex] = x - 7y + 391[/tex]
I need the answer to this plsss
Answer:
7 cm
Step-by-step explanation:
divide 56 by 8
area=length×width
width=area÷length
=56÷8=7 cm
Please Help! I will give you a lot of points if you do!
--This is Hindu-Arabic math so you have to use their number system
Answer:
47
Step-by-step explanation:
According to the number system 7 lines and 12 dots, a line is 5 and a dot is 1
you do 5*7+12 which is equal to 47
So the answer is 47,
Hope this helps!
First look at the chart and then convert each symbols to their respective numbers
[tex]\\ \tt\longmapsto 6+14+13+4+0+10[/tex]
Now add[tex]\\ \tt\longmapsto 20+17+10[/tex]
[tex]\\ \tt\longmapsto 37+10[/tex]
[tex]\\ \tt\longmapsto 47[/tex]
f(x)=x2
g(x)=x−3
Find the composition of the two functions and show your process:
g(f(x))
Answer:
g(f(x)) = x² - 3
Step-by-step explanation:
g(f(x))=g(x²)
= x² - 3
Step-by-step explanation:
[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ g(f(x)) = g( {x}^{2} ) = {x}^{2} - 3 \\ thank \: you[/tex]
jennifer works at whataburger and earned 168.75 last week. If she worked 22.5 hours, how much does she earn per hour?
Answer:
7.5
Step-by-step explanation:
168.75 divided by 22.5 = 7.5
$7.50 dollars an hour.
7.50 x 22.5 = 168.75
A locus of points equidistant from a fixed point is a
A. bisection of two sides or three sides of a triangle.
B. bisector of an angle.
C. circle with centre at a fixed point.
D. perpendicular bisector of aa given line.
Answer:
B. bisector of an angle.
Help please help help please please please
Answer:
C. [tex] \frac{5}{4} [/tex]
D. [tex] \frac{6}{7} [/tex]
Step-by-step explanation:
C. [tex]2 - \frac{12}{16} [/tex]
[tex] = 2 - \frac{3}{4} [/tex]
[tex] = \frac{8 - 3}{4} [/tex]
[tex] = \frac{5}{4} [/tex]
D. [tex] \frac{20}{22} \times \frac{33}{35} [/tex]
[tex] = \frac{10}{11} \times \frac{33}{35} [/tex]
[tex] = 10 \times \frac{3}{35} [/tex]
[tex] = 2 \times \frac{3}{7} [/tex]
[tex] = \frac{6}{7} [/tex]
Miss Marple’sgrandfather passed away and she attended the reading of the will. The estate was valued at $8,424,000. It was decided that 23of the estate would be given to his children. Of the remainder, 15would be used to create a scholarship for mathematics majors at a local university and the rest would be divided evenly among his fourgrandchildren, of which Miss Marplewas one. a.How much money was used for the scholarship?[3 pts]b.What fractionof the estate did Miss Marpleend up inheriting?
The amount of money used for scholarship and the fraction of the estate gotten by Miss Maple are :
Scholarship amount = $561,600Fraction gotten by Miss Maple = 1/30The entire fraction of the estate = 1/1
Fraction given to children = 2/3
Fraction left = Total - fraction given to children
Fraction left = 1/1 - 2/3 = 1/3
For scholarship :
1/5 of fraction left :
1/5 of 1/3 = 1/5 × 1/3 = 1 /15
Fraction Given to grand children :
1/5 - 1/15 = 2/15
Amount of money used for scholarship :
1/15 × 8424000 = $561,600
B.)
Since There are four grand children and it was equally shared among them:
Miss Maple is one of the grand children:
Fraction each grandchild gets is :
2/15 ÷ 4
2/15 ÷ 4/1
2/15 × 1/4 = 2/60 = 1/30
Hence, miss Maple will get 1/30
Learn more : https://brainly.com/question/18109354
11/14 as a repeating decimal using bar notation
Step-by-step explanation:
______
0.7857142
note the first 7 is not included in the bar
Multiply (-14/21) x5/9 Enter your fraction as a fraction, in simplest form.
Please help
Answer:
simplifed -10/27
Step-by-step explanation:
PICTURE ABOVE ^^ PLEASE HELP
Answer: 4 /15
Step-by-step explanation:
[tex]0.2\overline{6}\\\\=0.2+\dfrac{1}{10} *\dfrac{6}{9} \\\\=\dfrac{1}{5} +\dfrac{1}{15} \\\\\\\boxed{0.2\overline{6}=\dfrac{4}{15} }\\[/tex]
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
If a customer orders a sandwich with cheddar cheese and only one type of meat, how many different sandwiches are available?
Meats: ham salami turkey
Cheeses: cheddar Swiss Colby
A, 1
B, 3
C, 4
D, 6
15.
(4x +- 21)
(x - 23)
Answer:
4
2
−
1
1
3
+
4
8
3
Step-by-step explanation:
A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?
Answer:
Step-by-step explanation:
P{2 of 4 tagged}=(52)(152)(204)
=0.2167
The coach made the students run for 11 minutes 24 seconds and then walk for 5 minutes 48 seconds. What is the total time the students ran and walked?
The coach made the students run for 11 minutes 24 seconds and then walk for 5 minutes 48 seconds. What is the total time the students ran and walked?
Answer:
17minutes 10sec
Step-by-step explanation:
Total time running and walking
= time ran + time walked
= 11 minutes 24 sec + 5 minutes 48sec
= 16minutes 70sec
( now we know 60 sec = 1 min) so..
= 17minute 10sec
I’ll mark you as brainliest!
PLEASE HELP it’s been an hour and I can’t figure this out it’s about rate of change algebra 2 I can give brainlist
Answer:
part b is B
Step-by-step explanation:
not sure about the first part i dont want you to get it wrong i kind of forgot about it
Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 for the same trip. One day 8 canoes and 4 kayaks were not rented. How much money was collected for rent-als that day?
The underlined digit is 3 wat the value of this number
285,003
Answer:
just 3
Step-by-step explanation:
it would be just 3 because there is no number behind it
PLEASE HELP meee!! ┗( T﹏T )┛ A point is plotted on the number line at 234 . A second point is plotted at −413 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
7 1/12
Step-by-step explanation:
i just know
Answer:
its -4 1/3
Step-by-step explanation:
What is percent 10 1/4 of 66?
Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...
The Answer is:
an = -15 + 9(n - 1)
if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher
Out of all the trains currently at Middlebury Station, 5 are
headed east, 4 are headed west, and 9 are headed north.
What is the probability that a randomly selected train will be
heading north?
Work Shown:
9 trains headed north
5+4+9 = 18 trains total
P(north) = (# of north)/(# total) = 9/18 = 1/2
Which rational number equalsIf (26)x = 1, what is the value of x? 0 point 1 with bar over 1?
Answer:
rational numbers equalslf 26×1=26the value of x =26ans
Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8
Answer:
See Below.
Step-by-step explanation:
By definition, if two functions, f and g, are inverses, then:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
We are given the two functions:
[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]
Find f(g(x)) and g(f(x)):
[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]
Hence, f and g are indeed inverses of each other.
Proportions-
Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?
Answer:
the width would be 20 inches
Step-by-step explanation:
32 = 8 × x
32 ÷ 8 = 4
so now multiply 5 by 4 which equals 20 inches
The value of 2 · 5^2 is 100. True or False?
If n = 4, the value of the expression 28 - 12 + ÷ 2 is _____.
A) 15 B) 17 C) 17/2 D) 21
Please answer both!
