Answer:
The amount is $25.4
Step-by-step explanation:
There are 109 students to attend the science workshop.
Number of erasers needed is 109, but whole packages of erases can be bought which consist 12 erasers. The total packages of erasers needed would be 10.
The cost of 10 packages of erasers = $0.75 x 10
= $7.5
The cost of 109 folders = 109 x $0.10
= $10.9
Number of pencils needed is 109, but whole packages of pencils can be bought which consist 8 pencils. The total packages of pencils needed would be 14.
The cost of 14 packages of pencils = $0.50 x 14
= $7.0
Total cost = $7.5 + $10.9 + $7.0
= $25.4
The amount that would be spent by the school is $25.4
Answer:
25.4
Step-by-step explanation:
how do you find the perpendicular distance between a line segment and a point? (photo attached) i’m stuck
Answer:
Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]
Approximate Distance = 2.529822
============================================
Explanation:
This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.
First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.
Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.
For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.
Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.
So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get
3x-y = 3(-3)-2 = -9-2 = -11. So D = -11
The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.
At this point, we have this system of equations
x+3y = 11
3x-y = -11
Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)
The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)
The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]
I'm skipping steps because listing everything out would take up way too much space in my opinion.
--------------------------------------------------------
The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.
Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below
[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]
In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.
Also, we'll use (m,n) = (-3,2) which are the coordinates of point H
From here it's a fairly straightforward computation
[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]
Optionally we can rationalize the denominator like so
[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]
There are different ways to write down the answer, but they all represent the same number.
which is the slowest rate? a. 2,983 km in 5 hr
b. 5,193 km in 7 hr
c. 3,094 km in 12 hr
d. 1,784 km in 3 hr
Answer:
C. 3,094 km in 12 hr
Step-by-step explanation:
we need to find kilometer per 1 hour so
2983/5=596.6 kilometers per hour
5,193/7= 741.857142857 km per hour
3,094/12=257.833333333 km per hour
1,784/3=594.666666667 km per hour
now which number is lowest
third one
Have a wonderful day! ask me if you have more questions
Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
y = 1/2x + 3Step-by-step explanation:
As per graph, using the points (-6, 0) and (0, 3) we determine that:
the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) = /3/6 = 1/2So the equation is:
y = mx + by = 1/2x + 3the question is "what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted"
please help!
Answer:
Rate Of Change= 7
Step-by-step explanation:
all you have to do is see the difference, imma make a table here first
x y
1 10
3 24
6 45
11 80
15 108
from 10 to 24 you add 14
from 1 to 3 you add 2
so y/x
14/ 2 = 7
check:
from 24 to 45 you add 21
from 3 to 6 you add 3
so y/x
21/3 = 7
From y/x your final answer will always be 7.
So the rate of change will be 7.
Hope this helped a little!
-x + 4 = -12
What's x
Answer:
x =16
Step-by-step explanation:
-x+4=-12
-4 -4
-x=-16
/- /-
x=16
Answer:
x=16
Step-by-step explanation:
-x+4=-12
Subtract 4 from -12 ( -16 )
Divide
-x/-16 ( 16 )
x=16
f(x) = x + 9, g(x) = x2 − 4x, h(x) = x4 + 2x3
What is the degree of (f º g º h)(x)?
7
8
21
24
Answer:
the degree of the function is 8
Step-by-step explanation:
(f º g º h)(x) = [tex]f(g(h(x)))[/tex]
first lets evaluate g(h(x))
[tex](x^4 + 2x^3)^2 - 4(x^2 + 2x^3)[/tex]
simplify
[tex]x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3[/tex]
[tex]x^8 + -4x^3 + 4x^6 - 4x^4[/tex]
you can easily see that the highest power term is 8 meaning the degree of the function is 8
Answer:
its 8 :)
Step-by-step explanation:
Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.
Answer:
m∠AOC = 15°m∠BOC = 15°Step-by-step explanation:
Given the angle ∠AOB
It is stated that CO is the angle bisector of ∠AOB.
Given that ∠AOB = 30°
As we know that the angle bisector bisects the angle into two equal angles.
Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:
m∠AOCm∠BOCas
∠AOB = 30°
Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.
Therefore,
m∠AOC = 15°m∠BOC = 15°If I would drop two eggs off of a building (one being at a higher position than the other) which one would drop faster and why?
Answer: Simple Answer.
The simplest way to obtain the minimal floor is to throw an egg from the first floor, then from the second and so on. This way when the egg is finally broken then we will know that this is the floor. This is a reliable algorithm, but in the worst-case scenario it would take 100 throws.
The important thing to notice is that it is the only reliable algorithm when you have only one egg. So you need to start using this algorithm when you break the first egg.
Step-by-step explanation: Intuitive answer.
This way, our first egg should be used to split the 100 floors range into smaller ranges as efficiently as possible. Thus, an intuitive and popular answer is to throw the first egg from 1/n-th of the floors to check. For instance 1/3. Then the algorithm will look like the following:
Throw the egg from 33rd floor. If it breaks, then we check the first 32 floors using the second egg.
Otherwise, we throw the egg from 33 + (67 * 1/3) = 55th floor. If it breaks, then we check floors 34 to 55 using the second egg.
…
Worst case scenario for 1/3 is max(33, 24, …) = 33. This way we might find a perfect n that optimizes the number of throws using some dynamic programming. This is a valuable solution that presents programming thinking, but it is not an optimal solution.
The optimal solution is when all arguments of this max function are equal. How do we achieve it? Looking from the end, the last D(n) is going to be 1, because we will finally get to the point where there is only the single floor for the first egg. Therefore D(n-1) should be equal to 2 because it has one less throw of the first egg.
We see then that the first egg should be thrown finally from the 99th floor, previously from 99–2=97, previously from 97–3=94, 90, 85, 79, 72, 64, 55, 45, 34, 22 and the 9th floor. This is an optimal solution! This way, we need 14 throws in the worst case scenario (the smallest difference is 13, but we had to make one extra throw on the 9th floor).
Simple equation to find the answer is following:
Where f is number of floors. This can be simplified to: min n*n+ divided by 2 greater than f
That is equal to: n=ceil 8f + 1 - 1, divided by 2
How many 5 minute intervals are between 4:35 pm and 5:00 pm
Answer: There are 5 five minute intervals.
I hope this helps, and Happy Holidays! :)
Answer:
25, 5 minute intervals.
Step-by-step explanation:
Hope this helps and you have a great day!
PLEASE DOMEONE HEP ME FIND X ILL GIVE YOU BRAINLIEST
Answer:
4
Step-by-step explanation:
Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2
1
slope intercept form that represents the new line.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y=x-2
We know that Reflecting over the x-axis inverts the sign of the y-coordinate.
Thus, after reflecting over the x-axis, the equation would be:
-y = x - 2
Now, writing the equation in the slope-intercept form
y=mx+b
where
m is the slope and b is the y-interceptso the equation in the slope-intercept form
-y = x - 2
y = -x + 2
Here,
The slope = m = -1The y-intercept = b = 2a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.
Answer:
A
Step-by-step explanation:
not sure gusto ko lang tumulong
Find the value of x.
Answer:
x=102
Step-by-step explanation:
Shauna is making accessories for the soccer team. She uses 888.69 inches of fabric on headbands for 29 players and 4 coaches. She also uses 246.79 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Step-by-step explanation:
Headband-23.665 inches
wristband-8.51 inches
is the height of 6 and the volume of 96 proportional to the height of 4 and the volume of 64
Answer:
yes it is and there has to be 20 characters so gonna type random stuff after
Answer:
16
Step-by-step explanation:
64 divided by 4 = 16 and 96 divided 6 = 16
HELP HELP HELP ASAP PLEASE IM STUCK
Answer:
I would say A?
Step-by-step explanation:
if i'm not right im sorry :(
Which decimal is smallest?
Answer:
.8345
Step-by-step explanation:
Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
Do the points lie on the same line? Explain your answer.
G(3,3), H(-1,5), X(5,7)
Choose the correct answer below.
O A. The slopes of all three pairs of coordinates are not equal. Therefore, the points do lie on the same line.
OB. The slopes of all three pairs of coordinates are equal. Therefore, the points do lie on the same line.
O C. The slopes of all three pairs of coordinates are equal. Therefore, the points do not lie on the same line.
OD. The slopes of all three pairs of coordinates are not equal. Therefore, the points do not lie on the same line.
In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.
3 out of 12
1 out of 4
yea hopefully correct
Can you go step by step on this please, I need to write down notes for my math class.
Answer:
x = 32, y = 51
Step-by-step explanation:
You know the longest side of ΔTUS is 13m and the longest side of ΔMNP is (2x-y). Thus:
2x - y = 13 --- Equation 1
You know the sum of angles in a triangle is 360°. Two of the angles are given in ΔMNP (142° & 24°) and the remaining angle is (2x-50)°. Thus:
142 + 24 + 2x - 50 = 180
2x + 116 = 180
2x = 180 - 116
2x = 64
x = 64 ÷ 2
x = 32 --- Equation 2
Substitute x = 32 into Equation 1:
2(32) - y = 13
64 - y = 13
-y = 13 - 64
= -51
y = 51 --- Equation 3
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding angles and sides are congruent, then
∠ U = ∠ N and NP = US
Require to find ∠ N
∠ N = 180° - (24 + 142)° ← sum of angles in triangle
= 180° - 166°
= 14°
Thus
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13 ← substitute x = 32
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
A line passes through the point (4,9) and has a slope of -3/2
What is the y-intercept?
The y-intercept is positive 15
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Wyatt I'm pretty sure so D
Step-by-step explanation:
drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
g = 2d - 8
g + d = 46
i need this question answered by 2:30 its for 20 points pls help
Answer:
46800
Step-by-step explanation:
10x15x24x13=46800
Giving brainliest & a thanks if you answer all of them
At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend? ( IGNORE THIS QUESTION PLEASE)
To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?
If Mia buys that many packages of each item, what is her total cost? Show your work.
Answer:
2) Mia needs to buy 3 packages of noisemakers
3)Mia needs to buy 4 packages of hats
4)Mia will dpend a total of $66
Find the simplified product
Answer: (b + 3)/2
[tex]\frac{b-5}{2b}.\frac{b^{2}+3b }{b-5}=\frac{b^{2}+3b }{2b}=\frac{b(b+3)}{2b}=\frac{b+3}{2}[/tex]
Step-by-step explanation:
Answer:
(b + 3)/2
Step-by-step explanation:
please help 15 points i will give u
solve for -4 x -10 ≤ 2
Answer:
I think the answer is x≥-3
If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25
Answer:
$36.75
Step-by-step explanation:
You do 5% of 35 which equals 1.75 that’s your sales tax.
then add 1.75+35.00= 36.75