Answer:
15
Step-by-step explanation:
Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.
Hope it helped!
There are 15 more female teachers than the male teachers.
What is equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,
Let there be 6x female and 4x male teachers in the school,
Establishing the equation,
6x + 4x = 75
10x = 75
x = 7.5
Number of more females = 6x-4x = 2x = 2(7.5) = 15
Hence, there are 15 more female teachers than the male teachers.
For more reference on equations, click;
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I need help with my math homework :(
We plug in 14 for x when we set the two equations equal to each other to prove they are equal.
So true LM congruent to MN
plz help will mark as brainliest
Identify all the word phrases that can be represented using the expression 3t – 5.
(Choose 2)
Answer:
B
Step-by-step explanation:
3t is also represented as 3(t)
which is multyplication
theirfor the product
Answer:
Step-by-step explanation:
3t - 5
can you keep the options?
my answers would be
5 less than product of 3 and a number
I WILL GIVE BRAINLIEST!! PLS HELP
Answer:
BC is congruent to EC by definition of bisect.
<ABE is congruent to <BED by alternate interior angles.
<ACB is congruent to <ECD by vertical angle theorem.
Triangle ABC is congruent to triangle DEC by ASA congruence theorem
Answer:
Ooook. One thing at a time
C is the midpoint of AD and BE: The two segments bisects each other.
Being the midpoint AC≅CD and BC ≅CE.
The triangles are congruent by SSS.
Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.
If one-third of a number is 24 less than the thrice of the number, find the number.
Answer:
9
Step-by-step explanation:
Let the number be 'x'
One third of a number : (1/3) *x
Thrice the number = 3x
[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]
Multiply the entire equation by 3
9x - x = 72
8x = 72
Divide both sides by 8
x = 72/8
x = 9
please is for today and fast
Answer:
slope= [tex]\frac{2}{3}[/tex] or 0.6
y-intercept= -1
y= 0.6x+ -1
Step-by-step explanation:
slope= [tex]\frac{rise}{run}[/tex]
the y-intercept is where the line crosses the y axis
the equation for a line is y=mx+b where m is slope and b is y
Answer:
Slope: 1.5
Y-intercept: (0,-1)
Equation of the line: y=1.5x-1
Step-by-step explanation:
Slope=
change of y/change of x=
3/2 (or 1.5)
Equation of the line:
y=1.5x+b
-1=1.5(0)+b
-1=b
y=1.5x-1
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
solve for y -3.3+y/4=9.7
Answer: y= 5 /52 = 10 2/5 = 10.4
Step-by-step explanation:
-3.3+y/4=-9.7
We move all terms to the left:
-3.3+y/4-(-9.7)=0
We add all the numbers together, and all the variables
y/4+6.4=0
We multiply all the terms by the denominator
y+(6.4)*4=0
We add all the numbers together, and all the variables
y+25.6=0
We move all terms containing y to the left, all other terms to the right
y=-25.6
Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?
Answer:
Train A
Step-by-step explanation:
Look at the table.
Train A : 75 - 50/ 3 - 2 = 25 mi/n
Train B : 40 - 0/ 2 - 0 = 20 mi/n
25 > 20
So it's train A.
{ RATE }
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
Read more about composite functions at:
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l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?
Answer: 3 seconds
Step-by-step explanation:
h(t) = -16(t)^2 + 112(t)
Set h(t) = 192 feet
192 = -16(t)^2 + 112(t)
0 = -16(t)^2 + 112(t) - 192
Solve using the quadratic formula: There are two solutions, 3 and 4 seconds. Three seconds is the first time it reachers 192 feet, At four seonds it's on its way down.
The function can also be graphed (attached).
If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?
Answer: $4
Step-by-step explanation:
If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4
Answer:
$4
Step-by-step explanation:
divide 8 by two
to find the price of one prego pasta divide the cost of your object by the amount of objects
Hi i need the answer to this asap please
2 divided by 3
please explain how you got answer like show work
please do not answer in decimal form or the answer from go ogle
and please dont just answer for points
Combine Like Terms:
7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard
Answer:
11M + 2X + 8
Step-by-step explanation:
Hope this helps!! :))
Answer:
11M + 2x + 8
I did the math
it rights tho
Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]
Answer:
v = 12
Step-by-step explanation:
[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
6v = 8 × 9 = 72 ( divide both sides by 6 )
v = 12
Answer:
v=12
9/v =6/8 (cross - multiply)
6v = 8 x 9 = 72 (divide both sides by 6)
v = 12
Step-by-step explanation:
that's my answer
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please help thanks!!!
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
Answer: ?
Step-by-step explanation:
Multiply as indicated. Write the product in standard form.
(2+i)^2
Answer:
3 + 4i
Step-by-step explanation:
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.
Answer:
The interest is $0.03
Step-by-step explanation:
($720*0.014)/365
The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
P =$720
r = 1.4% = 0.014
n = 365
t = 1 day
[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]
After solving:
A = $730.15
The interest I = A - P
I = $730.15 - 720
I = $10.15
Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
Learn more about the compound interest here:
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help please??? really don't understand this:)
Answer:
9.4
Step-by-step explanation:
Each pay 7.05.
7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.
Each ticket costs 9.4
Please mark brainliest
Answer:
Each ticket costs $9.4
Step-by-step explanation:
Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.
7.05 x 4 = 28.2 (Amount paid from all 4 friends)
Now divide 28.2 by the # of tickets they're paying for.
28.2/3 = 9.4 (Cost of each ticket)
Hope this helps! Please mark me as brainliest! :D
what is the slope of y=-4?
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
You are paid 82.50 for 7 1/2 what is ur rate of par
Write a rule to describe each transformation.
- A
- B
- C
- D
Answer:
A, a dilation of 2
Step-by-step explanation:
The answer is, A dilation of 2 because the image is getting dilated to a bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.
(Pre-image is a shape before a transformation, image is after a ransformation.)
Have a great day friend! :D
what number is 12% of 315
Answer:
12% of 315 is 37.8 :) Tag me if I'm wrong
Answer:
x = 37.80
Step-by-step explanation:
The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.
The given statement, "What number is 12% of 315" can be expressed algebraically as:
x = 0.12 × 315.
x = 37.80
Therefore, 37.80 is 12% of 315.
Which term of the arithmetic sequence 1, 3, 5, 7, ... is 99?
It is the
th term.
Answer:
it is the 50th tearm
Step-by-step explanation:
I just added '2' to '1' 50 times in a sense and got 99
Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk
Answer:
Each snack bar contains 12 carbs and each milk contains 15 carbs.
Step-by-step explanation:
Let M be the carbs in milk and S the carbs in a snack bar.
We are told:
4M + 3S = 96, and
2M + 4S = 78
===
We can eliminate one of the variables and then solve for the other. Let's multiply the second equation by -2 and then add it to the first. This will eliminate the M:
4M + 3S = 96
-4M - 8S = -156
-5S = - 60
S = 12
Each snack bar has 12 carbs. Use either equation to find M. I'll use the second:
====
2M + 4S = 78
2M + 4*(12) = 78
2M + 48 = 78
2M = 30
M = 15
Each milk contains 15 carbs
round 2,419 to the nearest hundred
Answer:
2,400
Step-by-step explanation:
Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)
Answer:
2,400
Step-by-step explanation:
what is the place value of 2 in 842567
Answer:
842567
the answer is thousands
7 is ones
6 is tens
5 is hundreth
2 is thousands
4 is ten thousands
8 is hundred thousands
Hope This Helps!!!
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation: