Answer:
48 teachers
Step-by-step explanation:
Here's two solutions:
Solution 1: Build an equation.
Let $T$ be the number of teachers. The number of math teachers is $\frac{3}{8}T$, and the number of non-math teachers is $30$. Since each teacher is either a math teacher or not a math teacher, we have
$$\frac{3}{8}T + 30 = T.$$Multiplying each side of this equation by $8$ gives us
$$3T + 240 = 8T.$$Subtracting $3T$ from each side gives us $240 = 5T$, and dividing both sides by $5$ gives us $48=T$. Therefore, there are $48$ teachers at Naran's school.
Solution 2: Think proportionally.
Since three-eighths of the teachers are math teachers, the other five-eighths are not math teachers. So, these $30$ non-math teachers are five-eighths of the total number of teachers. Therefore, $\dfrac{30}{5} = 6$ teachers are one-eighth of the total. So, there are $6\cdot 8 = \boxed{48}$ teachers in all.
a grocer mixes 20.25 kg of green tea with 35.10 kg of ordinary tea and repacks all tea in 45 packets of equal weight. how much does each packet weigh?
Answer:
1.23 kg
Step-by-step explanation:
(20.25 kg + 35.10 kg) : 45 = 1.23 kg
ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2
Answer:
2xy^2
Step-by-step explanation:
First, 8/4 is 2.
2x^3y^5 / 4x^2y^3
Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.
Our final answer is 2xy^2.
The table shows the relationship between the number of white shells and the number of pink beads that Aliz uses to decorate 6 different
jewelry box. Which of the following equations relates the number of pink beads, p, to the number of white shells, w? �� p = 25w �� w = 52p �� 5w = 2p �� p = 52w
Answer:
p = 5/2w
Step-by-step explanation:
We want the ratio of pink beads to white shells
p: w
5: 2
Cross multiply
2p = 5w
Divide by 2
p = 5/2w
Please hurry I will mark you brainliest
Answer:
the answer is 120
Step-by-step explanation:
a trapezoid should measure 360 when all sides are added together
180-125=55
65+55=120
360-120=240
240÷2=120
What is the domain of the relation (8, -2), (4,-2), (3, 2), (-5, -3)?
A. {8,4,3, -5}
B. {-8, -4, 3, 5)
C. 2-5, -3, 4, 8}
D. 2-3, -2, 2}
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
correct option is A
Step-by-step explanation:
mark me
how prove the following
cos²(120°-A) + cos²A + cos²(120°+A)= 3/2
Answer:
Sorry if it is not clear enough
Which of the following equations has roots r = -1, x = -2, and x = 3i?
please help, i don't understand the subject so i need an answer to help me out:) i will give brainliest to a good answer.
To be honest, I don't think it has anything to do with the exponent part at all. Instead, I think it has to do with the fact that integers are inherently easier to grasp compared to fractions (which is exactly what rational numbers are).
For instance, it's much easier to say 2+3 = 5 than it is to say 1/2 + 1/4 = 3/4
So going back to the exponent example, it's easier to say
x^2*x^3 = x^(2+3) = x^5
than it is to say
x^(1/2)*x^(1/4) = x^(1/2+1/4) = x^(3/4)
So that's my opinion as to why rational exponents are more tricky to grasp compared to integer exponents. Of course, everyone learns math differently so maybe some find fractions easier than others.
Jeremy is buying a new car. The total cost, including tax, is $18275. If the tax rate is 7.5% , what is the sticker price of the car?
Answer:
$17000
Step-by-step explanation:
Given
[tex]Total = 18275[/tex]
[tex]Tax = 7.5\%[/tex]
Required
The original price
This is calculated using:
[tex]Price(1 + Tax) = Total[/tex]
Make Price the subject
[tex]Price = \frac{Total}{(1 + Tax)}[/tex]
So, we have:
[tex]Price = \frac{18275}{(1 + 7.5\%)}[/tex]
[tex]Price = \frac{18275}{1.075}[/tex]
[tex]Price = 17000[/tex]
10 = z + 6 (show work)
Answer:
4
Step-by-step explanation:
10=z+6
or, z+6=10
or, z=10-6
or,z=4
May this help you
How many solutions exist for the mixed-degree system graphed below?
Answer:
The answer is one.
Graph the inequality on the axes below.
-5x + 4y > -24
Step-by-step explanation:
-5x + 4y > -24
Plot and draw a graph that's it
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
22.08 ft2
24.45 ft2
26.32 ft2
28.97 ft2
Answer:
22.08 ft^2
Step-by-step explanation:
First find the area of the full circle
A = pi r^2
The diameter is 15 so the radius is 1/2 (15) = 7.5
A = (3.14) (7.5)^2
=176.625
45 degrees is a fraction of a circle which is 360 degrees
45/360 = 1/8
Multiply the area of the circle by this fraction
1/8 (176.625) =22.078125
Rounding to the nearest hundredth
22.08
Answer:
22.08 ft2
Step-by-step explanation:
(PLEASE ANSWER ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER PLEASE EXPLAIN ALSO)
Answer:
37.15 pounds left
Step-by-step explanation:
Add the two pound values
1.3+1.75= 3.05
Subtract it from the total number of pounds in the bag
40.2-3.05
=37.15
18. DEFG is a rectangle. Find the
length of each side.
Answer:
DE=27
EF=13
DG=13
GF=27
Step-by-step explanation:
12x+3=5x+17
12x-5x=17-3
u'll get 14 then simply it by the numbe of X u'll get 2 then replace the X with the number
CAN SOMEONE HELP ME PLEASE
b)
Four students represented the same pattern with the following equations:
Simon C = 4n + 1
Shania C = 3n + 4 + n-3
Tate C = (6n + 1) + (-2n)
Navdeep C = 2(2n + 3) -5
Use algebra skills to determine which of these four equations are equivalent. Show your work.
Simon
C = 4n + 1
Shania
C = 3n + 4 + n -3
C = 4n + 1
Tate
C = (6n + 1) + (-2n)
C = 6n + 1 - 2n
C = 4n + 1
Navdeep
C = 2(2n + 3) -5
C = 4n + 6 - 5
C = 4n + 1
Therefore all of them are equivalent.
Answered by Gauthmath must click thanks and mark brainliest
cho tam giác ABC vuông tại A, đường cao AH, cho biết AH= 2cm, BC= 5cm. Tính các cạnh AB, AC, CH, BH và tính diện tích tam giác ABC
Answer:
Step-by-step explanation:
SABC= 1/2 AH.BC = 1/2 .2.5 = 5
Ta co: HC = 5 – BH
Mat khac: AH2 = HB.HC 22 = HB(5-HB) HB = 4 hoac HB = 1
Ta co cong thuc: AB2 = HB.BC
AC2 = HC.BC
Voi HB = 4 => HC = 1. Vay ta co: AB = 2√5 va AC = √5
Voi HB = 1 => HC = 4. Vay ta co: AB = √5 va AC = 2√5
A pendulum's height is modeled by the function h(t) = 4 cos(pi/4*t) + 8 where h is the
measure of the pendulum's height in feet and t is the number of seconds since the
maximum height. How many seconds does it take the pendulum to complete one
full swing?
===========================================================
Explanation:
The general cosine template is
y = A*cos(B(t - C)) + D
where in this case
A = 4B = pi/4C = 0D = 8We only really need to worry about the B value. To get the period T, we do the following
T = 2pi/B
T = (2pi)/(pi/4)
T = 2pi * (4/pi)
T = 8
Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).
The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).
Find the vertices and foxi of the hyperbola y^2/25 - x^2/144=1
Answer:
Step-by-step explanation:
[tex]\dfrac{y^2}{b^2} -\dfrac{x^2}{a^2} =1\\a=12\\b=5\\f^2=a^2+b^2=13^2\\Vertices:(0,5), (0,-5)\\Foci: (0,13),(0,-13)\\[/tex]
ignore drawings of triangles and the answer is not D !! Thank you!!
Answer:
it's A
Step-by-step explanation:
the two triangles make up a parallelogram
Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25 degrees, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.
Answer:
11m
I did it by Geometry and used the scale : 1cm represents 5m
What is the probability of a red on this spinner?
Be sure to reduce.
Answer:
2/8 or 1/4 simplified
Step-by-step explanation:
If you count how many equal sections there are, you will see there are 8, and 2 or those 8 sections are red so that would easily give you your answer, 2/8.
And to simplify it divide both the top and the bottom by 2 and that gives you 1/4.
Hope the helps! :)
The probability of a red on this spinner would be 1/4.
Used the concept of probability that states,
The term probability refers to the likelihood of an event occurring. Probability means possibility.
Given that,
A spinner is shown in the image.
Since there are a total of 8 parts with different colors.
And, the number of red colors on this spinner is 2.
Hence, the probability of a red on this spinner would be,
P = 2 / 8
P = 1 / 4
Therefore, the probability is 1/4.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ4
Please help will give brainliest, pls don’t just guess
Answer:
B = multiply both sides by 2y+1
Step-by-step explanation:
Answer:
B. multiply both sides by the equation 2y + 1
find the missing side of the triangle
Answer:
197 is the missing side of the triangle
which of the following represents 10 on a number line
Answer:
don't understand....................
18
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is 32 cm.
Draw the rectangle on the centimetre grid.
.
4
54
B2
%
I did it wrong can someone help me
Answer:
Width = 4 cm
Length = 8 cm
Step-by-step explanation:
Hi there!
Let [tex]l[/tex] be equal to the length of the rectangle.
Let [tex]w[/tex] be equal to the width of the rectangle.
1) Determine equations to find the length and width
We're given that the length is two times the length of the width:
[tex]l=2w[/tex]
We're also given that the area of the rectangle is 32 cm². Recall that the area of a rectangle is [tex]A=lw[/tex]:
[tex]A=lw\\32=lw[/tex]
Now, we have our two equations:
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
2) Solve for the width using substitution
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
Replace [tex]l[/tex] in the second equation with [tex]2w[/tex] from the first equation:
[tex]32=(2w)w\\32=2w^2[/tex]
Divide both sides by 2 to isolate w²:
[tex]16=w^2[/tex]
Take the square root of both sides to isolate w:
[tex]\pm4=w[/tex]
Because width cannot be negative, w=4. Therefore, the width of the rectangle is 4 cm.
3) Solve for the length
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
Now, that we have the width (4 cm), we can solve for the length by plugging it back into one of the equations. Either of the equations work, but we can use the first:
[tex]l=2w\\l=2(4)\\l=8[/tex]
Therefore, the length of the rectangle is 8 cm.
3) Draw the rectangle
We can use what you had before as a foundation. You drew a rectangle with width 4 cm and length 7 cm. To draw the correct rectangle, add another row on top to make it 4 cm by 8 cm.
I hope this helps!
given that a random variable X has a geometric distribution that X- Geometry 0.67. Find the mean
Answer:
Hello,
0,4925...
Step-by-step explanation:
A geometric random variable X with parameter p has probability function:
[tex]f(x)=p*(1-p)^x\ where\ x=0,1,2,3....\\\\mean=\dfrac{1-p}{p} =\dfrac{1-0.67}{0.67} =0.4925...[/tex]
Answer
hey my friend ur answer is 0,4925.
hope it is helpful
Factor the polynomial
Answer:
(x+8)(x+7)
Step-by-step explanation:
Find two numbers that add to
b
and mulitply to
a*c
so find two numbers that add to
15
and mulitply to
56
Those two numbers are 8 and 7
therefore the answer is
(x+8)(x+7)
