==========================================================
Explanation:
Average = (sum of scores)/(number of scores)
We can turn that equation into symbolic form to say
A = S/n
We're told that "18 students had an average of 80" (paraphrased) which means,
A = S/n
80 = S/18
80*18 = S
S = 1440
Those 18 students' scores add up to 1440.
For the other group of 40-18 = 22 students, their scores add to
S = A*n
S = 70*22
S = 1540
Overall, everyone's scores add up to 1440+1540 = 2980
Divide this over the number of people in class (40) to get the final answer
2980/40 = 74.5
--------------------------------------------
Here's an alternative way to compute the answer
(18/40)*80 + (22/40)*70 = 74.5
This works because 18/40 of the class got an average of 80 while the remaining 22/40 of the class got an average of 70.
The price of a hamburger is 3 dollars. what is the price of 90 hamburgers?
Cost of each Hamburger = $3
Cost of 90 Hamburgers = 3×90
= $270
Therefore cost of 90 hamburgers is $270
Must click thanks and mark brainliest
Helps me plz
a=8, b=15, c=
Answer:
c
Step-by-step explanation:
I think its c
Given that the point (-2,8) is on the graph of an equation that is symmetric with respect to the x-axis, what other point is on the graph?
(Type an ordered pair)
What is the sign of y = £?
y
Choose 1 answer:
A
Positive
B
Negative
Zero
Answer:
I'm pretty sure is
Positive b
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
its easy as making a cake
Step-by-step explanation:
always remember that
volume of a rectangular prism = area of the base x depth
AND
volume = 72
depth. = 3
it means we have to multiply 72 with 3
so we get
72 x 3 = 216
it means that the volume of the swimming pool is 216.
hope it helps you
have a nice day dear
The slope of the line is-
A)m=-2
B)m=-(1/2)
C)m=1/2
D)=m=2
A point on the line is-
A)(-4,-1)
B)(4,1/2)
C)(1/2,-1)
D)(1,4)
Answer:
C
D
Step-by-step explanation:
Point slope form is written in
y - y1 = m(x - x1)
Where m is the slope and (x1, y1) is a point on the line.
Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.
Therefore the slope is 1/2 and the point is (1,4)
Sabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?
Mary Ore and Tobi are to share 142naira such that Ore gets 11naira less than Mary and 7naira more than Tobi . How much is Tobi's share?
Answer:
₦40.30
Step-by-step explanation:
Step 1: Find how much each person gets equally
Divide 142 by 3
[tex]142 \div 3\\\\= 47.3[/tex]
Each person's share is ₦47.3
Step 2: Find out how much Ore, Tobi, and Mary has
Subtract 11 from Ore's share
[tex]47.3 - 11\\\\= 36.3[/tex]
Add that 11 to Mary's share
[tex]11 + 47.3\\\\= 58.3[/tex]
Subtract 7 from Tobi's share
[tex]47.3 - 7\\\\= 40.3[/tex]
Add that 7 to Ore's now-share
[tex]36.3 +7\\\\=43.3[/tex]
Tobi's share is 40 naira and 30 kobo
Extra Info:
To see if it is correct, confirm the answer by adding all their shares.
Find the surface area of this cylinder.
Round to the nearest tenth.
p= 5 cm
5 cm
SA = [ ? ] cm?
Answer:
314.2
Step-by-step explanation:
2πr²+2πrh
= 2×π×5²+2×π×5×5
= 100π
= 314.2 cm²
Answer:
Does the answer help you?
0_____ is
than all negative numbers.
Answer:
is whole number
Step-by-step explanation:
plz mrk me brainliest
Answer:
0 is larger than all negative numbers.
Step-by-step explanation:
When dealing with negative numbers, the number closer to zero is the bigger number. Zero (0) has the unique distinction of being neither positive nor negative.
The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
Hey help me with some math by zoom. free tutoring yeah?
Answer:
why can't you write the questions on brainly?
whats the value of x in the formula x = 2(alb) - 4c if a = 12, b =3, and a c=1?
Answer:
just input all values as told...
x = 2 (12)(l)(3) - 4(1)
so x = 72 l - 4
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{x = 2(alb) - 4c}[/tex]
[tex]\huge\text{x = 2((12)(l)(3)) - 4(1)}[/tex]
[tex]\huge\text{x = 2(l)(36) - 4(1) }[/tex]
[tex]\huge\text{x = 72l - 4}[/tex]
[tex]\huge\boxed{\textsf{Answer: x = 72l - 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Olivia is fixing her bicycle. She starts fixing it at 9:34 am and finishes at 1 pm. How much
time did she spend fixing her bicycle?
Answer:
3 hours 26 minutes
Step-by-step explanation:
26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes
The total time that she spend fixing her bicycle is 3 hr 26 minutes
Calculating total timeGiven the following parameters
Time that Olivia starts fixing bicycle= 9:34 am
Time she finishes = 1pm
The total number of hours spent from 9:34am and 12:34pm is 3 hrs. The remaining minutes to 1 pm is 26 minutes.
Hence the total time that she spend fixing her bicycle is 3 hr 26 minutes
Learn more on time here: https://brainly.com/question/2854969
#SPJ6
On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non se
answered correctly and 5 points for each of the 6 short response questions she answered correctly
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: brainly.com/question/16397188
Round each to the nearest cent.
$1,145.343
and
$264.5176
Answer:
$1,145.343 = $1,145.34
$264.5176 = $264.52
Please help!!! 20 points + brainliest!!
6 + (-47) =
Well, all we have to do is add, so:
6 + (-47) =
6 - 47 =
-41
Answer:
(-41)
Step-by-step explanation:
Subtract and write big numbers sign.
47 - 6= (-41)
given that S=180(n-2)
a) if n-9, find the value of S
Answer:
1260
Step-by-step explanation:
S=180(9-2)
S=180(7)
S=1260
Answer:
S = 1260Step-by-step explanation:
[tex]S=180(n-2) \\ n = 9[/tex]
Substitute 9 for n
[tex] S=180(9 - 2) \\ S = 180(7) \\ S = 180 \times 7 \\ S = 1260[/tex]
What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}[/tex]
r represents radius of cylinder.h represents height of cylinder.So ,r = 6 cmh = 16 cmπ = 3.14Substuting the values⇥Volume of the cylinder = π r² h
⇥Volume of the cylinder = 3.14 × 36 × 16
⇥Volume of the cylinder = 113.04 × 16
⇥Volume of the cylinder = 1808.64
Hence , the volume of cylinder is 1808.64 cm²
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Okay follow these patterns and you will always get your answer
Cone = (13)πr2h, where r is the radius and h is the height.
Cube = s2, where s is the length of the side.
Cylinder = πr2h, where r is the radius and h is the height.
Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.
Sphere = (43)πr3, where r is the radius.
ANSWER: (D) 904.78 cm^3
Algebra one need help ASAP
Answer:
a=6
Step-by-step explanation:
12-2a=3(a-6)
or,12-2a=3a-18
or,12-5a=-18
or,-5a=-30
or,a=6
hope this helps
Observe the below figure and answer.
Answer:
the answer is 5
Step-by-step explanation:
11 substract 6 is equal to 5
PLEASE HELP!!!! I’m about to rip my hair out over this.
1. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. When does the ball reach its Maximum height?
2. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. When does the ball hit the ground?
3. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. How high is the ball at 3 seconds?
4. Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by h=-4.9t^2+12, where t is seconds. At what height will she be after 1 second?
I absolutely hate math with all of my heart.
Step-by-step explanation:
1. The equation graph is a parabola, so the maximum height will be the vertex of the parabola. You can find the vertex coordinate t using the formula:
t = -b/2a
t = -18/2•(-4.9)
t = -18/-9.8
t = 1.84 seconds
2. The height of the ground is 0, so the balls hit the ground when the equation result is 0:
0 = -4.9t²+18t+10
Now you solve it using Bhaskara:
Δ = b² -4ac
Δ = 18² -4•(-4.9)•10
Δ = 520
t = (-b ±√Δ)/2a
t = (-18 ± √520)/2•(-4.9)
t1 = (-18 - 20.8)/-9.8
t1 = 3.96 seconds
t2 = (-18 +20.8)/-9.8
t2 = -0.28
Doesn't exist negative time, so we pick the first value found, t = 3.96 seconds
3. Now you just need to put 3 in place of t to find the result:
h = -4.9•3² +18•3 +10
h = -4.9•9 + 54 + 10
h = -44.1 + 64
h = 19.9 meters
4. You just need to put 1 in place of t to find the height:
h = -4.9•1²+12
h = -4.9+12
h = 7.1 meters
Which properties belong to all isosceles triangles? Check all that apply.
The base angles are congruent.
All three angles are congruent.
The two sides opposite the base angles are congruent.
All three sides are congruent.
The bisector of the vertex angle is the perpendicular bisector of the base.
=====================================================
Explanation:
Let's go through the answer choices to see which are true and which are false.
A) True. The base angles are the same measure, and they are opposite the congruent sides. Any isosceles triangle has exactly two congruent sides.B) False. This is describing an equilateral triangle (where all three angles are 60 degrees each).C) True. See choice A.D) False. This is describing an equilateral triangle where all sides are the same length. E) True. You can use the SAS (side angle side) congruence theorem to prove that the angle bisector is also the perpendicular bisector. Furthermore, this segment is also a median. This only applies to the vertex angle.Answer:
The base angles are congruent.
The two sides opposite the base angles are congruent.
The bisector of the vertex angle is the perpendicular bisector of the base.
Step-by-step explanation:
Pls help I’ll give brainlist
Step-by-step explanation:
21 ÷ 6 = $ 3. 50 each
I hope this answers your question
Answer:
The price for one comic book is $3.5
You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?
Answer: C) You choose account #2
===================================================
Explanation:
Let's compute the final balance for account 1.
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of yearswhere in this case
P = 10,000r = 0.035 n = 4 t = 10So with all that in mind, we get
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.035/4)^(4*10)
A = 14,169.0883793113
A = 14,169.09
Account #1 gets us $14,169.09 which is over our goal of $14,000
--------------------------
Let's repeat this idea for account 3. I'll get back to account 2 in the next section.
For account 3, we have these inputs
P = 10,000r = 0.032n = 1t = 10leading to...
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.032/1)^(1*10)
A = 13,702.4104633564
A = 13,702.41
This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.
--------------------------
Now let's compute account 2. We'll use the continuously compounded interest formula which is
A = P*e^(rt)
The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.
I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.
So,
A = P*e^(rt)
A = 10,000*e^(0.036*10)
A = 14,333.2941456052
A = 14,333.29
This exceeds 14,000 so we can use this account.
Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.
This is why we should go for account 2.
Please Help and thank you so much!!
what is the following coordinates of (2,0) and (0,4)
Answer:
(2, 0) and (0, 4) are coordinates in the form of (x, y)
(2, 0) -> x = 2, y = 0
(0, 4) -> x = 0, y = 4
Find the missing length indicated.
Answer:
Does the answer help you?
The one-to-one functions g and h are defined as follows.
g={(-9, 2), (-1, -3), (2, 3), (9, 4)}
h(x) = 3x-4
Find the following.
g^-1 (2) =?
h^-1 (x) =?
(h • h^-1) (2) =?
Answer:
Hello,
Step-by-step explanation:
[tex]g(-9)=2\Longrightarrow\ g^{-1}(2)=-9\\\\y=h(x)=3x-4\\x=3y-4\\\\y=\dfrac{x+4}{3} \\\\h^{-1}(x)=\dfrac{x+4}{3}\\\\h(h^{-1}(x))=(h^{-1}o\ h)(x)=1_\pi(x) \ (identical\ permutation\ of\ plane) \\\\h(h^{-1}(2))=2[/tex]
