Answers
Answer:
Q4) 256 roses
Q5) 40 hamburgers
Q6) 60 professors and 168 lecturers
Q7) 20 percussionist on the sideline
Step-by-step explanation:
Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:
I) 160:5 = x:8 (using colon) or
II) 160/5 = x/8 (as two equal fractions)
You can use one of the two above.
I used the fractions here to solve the question.
After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:
160×8 = 5×x
1280 = 5x
5x = 1280
Now you have to divide on both sides to isolate x.
5x÷5 = 1280÷5
x = 256
Therefore your answer is 256 roses.
Q5) Use the same method in Q4.
Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.
First thing your going to do is add the proportion together. So basically 5+14=19.
After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.
And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12
60:168
To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.
Your final answer: There are 60 professors and 168 lecturers.
Q7) Use the same method done in Q6.
I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.
Related Questions
The metric system is based on multiples of 100. Please select the best answer from the choices provided A.True B.False
Answers
Answer:
true
Step-by-step explanation:
i think
Two students, Galen and Mai, worked on a project.
Galen worked for 3 2/3 hours.
Mai worked for 2 4/5 hours.
What was the total time spent on the project?
How much more time did Galen spend on the project than Mai?
Answers
Answer:
Mia worked 4/5 of an hour less than Galen.
or
Galen spent 4/5 of an hour more working on the project.
Step-by-step explanation:
First we have to find the LCM (Lowest Common Multiple) of 5 and 3 -
3: 3, 6, 9, 15, 18, 21, 24, 27, 30
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
We can see here, that the lowest common multiple is 15.
Now we need to convert the 2/3 and 4/5 into fractions that are equivalent to something fraction that has the denominator of 15.
2/3x5= 10/15
4/5x3= 12/15
So, now, the hours of work time of both Galen and Mia are having the same denominator, now, we can subtract.
3 10/15 - 2 12/15 = 12/15
Now, we understand that 12/15 was the amount of time Galen worked more than Mai. But, still, there is still more to do.
Suspense......
SIMPLIFY!!!
12/15 both come in 3's multiplication table.
12/15 divided by 3 = 4/5
Now, our final answer simplified is 4/5.
Thank You! Please Mark me Brainliest! Have a great day studying!
use the distibutive property to find the product 1/5 x 5 10/11
Answers
Answer:
1/2/11
Step-by-step explanation:
1/5×5/10/11=1/5×65/11
=13/11
=1/2/11
HELP PLEASE
Three unit squares (1-by-1 squares) and two line segments connecting two pairs of vertices are shown.
What is the area of ABC?
Answers
if x=5 and y =-z what's the value of xy-6
working needed please asap
correct answers only
HOPE EVERYONE IS HAVING A GOOD DAY<3
Answers
Answer:
1z
Step-by-step explanation:
5(-z)-6
-1(-z)
1z
I think that's right, but I'm not too great at math. Lmk. Hope it helps! :)
Equations that are functions can be written in a form called what?
Answers
Answer:
function notation.
Step-by-step explanation:
I was there with you i just happen to remember this one thing from my middle school
1/4 to the power of 7 times 1/4 to the power of -4
Answers
Answer:
0.015625
Step-by-step explanation:
the answer is 0.015625
Answer:
1/4^3
Step-by-step explanation:
1/4^7 x 1/4^-4 = 1/4^ 7+-4
=1/4^3
confused on what to do for this question?
Answers
orthodox iridium procuring
Ryne got 2/3 of the questions on his test correct. If the test had 75 questions, how many did Ryne answer correctly?
Answers
75 divided by 3 = 25
25 x 2 = 50.
Ans = 50
A bus pass has a starting value of $100. After one ride, the value of the pass is $98.25. After two rides, its value is $96.50. After three rides, its value is $94.75.
1. Write a rule to represent the remaining value on the card as an arithmetic sequence.
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $94.75
15 _____
2. What is the value of the pass after 15 rides?
3. How many rides can be taken with the $100 pass? (hint: set up an equation y=mx+b using the cost per ride as your NEGATIVE “m” value because your value goes down each time you ride and $100 as your starting “b” value. We’re solving for x when the total is 0. So, 0 = -___x + 100, fill in the blank with the cost per ride and solve for x.)
Answers
Answer:
73.75
Step-by-step explanation:
every ride the bus pass value goes down by 1.75 so we can use that to figure out what the 15th ride would cost. if you multiply 1.75 x 15 you will get 26.25. Now subtract 26.25 from 100 to get 73.75. Hope i helped! :)
The area of a rectangle is 2 square meters. The width of the rectangle is 1/8 meter.
What is the length of the rectangle?
A. 1/16 meter
B. 2 1/8 meters
C. 4 meters
D. 16 meters
Answers
Answer:
D
Step-by-step explanation:
1/8x1/8=1/16
2÷1/16=32
32÷2=16
2 divided by 1/8 = 16
help me due tonighttt
Answers
Answer:
X=22° ; Exterior Angle = 125°
Step-by-step explanation:
The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
(2x) + (103 - x) = (6x - 7)
103 + 7 = 6x - 2x + x
110 = 5x -->(Divided by 5)--> x=22°
6(22) - 7 = 125°
help pls
what is the slope intercept form of (4,0) and (0,5)
Answers
Answer: y = -5/4x+5
Hope this helps!!!
Please hurry please!
Answers
Answer:
b
Step-by-step explanation:
There are 4 consecutive integers that have a sum of 18. What is the value of the least
integer?
Answers
The lowest integer is 3
Please show work! Have test tomorrow and stuck, btw thank you! :)
Answers
Answer:
73
Step-by-step explanation:
8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73
Answer:
73
Step by-step explanation:
I dont know how to explain it I just put it into a calculator
|8w+5|=21
please show work
Answers
Answer:
w=-13/4
w=2
Step-by-step explanation:
|8w+5|=21
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|8w+5| = 21
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |8w+5|
For the Negative case we'll use -(8w+5)
For the Positive case we'll use (8w+5)
STEP
3
:
Solve the Negative Case
-(8w+5) = 21
Multiply
-8w-5 = 21
Rearrange and Add up
-8w = 26
Divide both sides by 8
-w = (13/4)
Multiply both sides by (-1)
w = -(13/4)
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(8w+5) = 21
Rearrange and Add up
8w = 16
Divide both sides by 8
w = 2
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
w=-13/4
w=2
put these fractions in order from least to greatest
6/11 1/8 8/12
Answers
Answer: 6/11 1/8 8/12
Step-by-step explanation:
please help me
Plot graph also
Answers
Here's the solution in attachment :
lane's family goes to the local science museum. The cost for parking is $7.00. The price
of admission is $12.00 per person. If Jane's family spends $67.00 total, how many people
are in Jane's family?
Answers
Answer:
5
Step-by-step explanation:
First you must deduct 7 dollars immediately, then you divide 60 by 12
Please ACTUALLY help. I'm begging you to help me!
Answers
i need help with this math problem ( 100)
what is the square root for 25?
Answers
Answer:
± 5
Step-by-step explanation:
[tex]\sqrt{25}[/tex] = ± 5 , that is
+ 5 or - 5 , since
+ 5 × + 5 = 25 and - 5 × - 5 = 25
round 487 to the nearest 10
Answers
Can someone pls help me out
Answers
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
This is Question no picture, soo iam work in question before^^
Step by step :x² = 12² + 10²
x² = 144 + 100
x² = 244
x = 15,6m✔
On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1), (negative 3, negative 1). Square 1 has points (negative 6, 4), (negative 6, 6), (negative 4, 6), (negative 4, 6). Square 2 has points (negative 6, negative 4), (negative 6, negative 6), (negative 4, negative 4), (negative 4, negative 6). Square 3 has points (2, 2), (2, 4), (4, 4), (4, 2). Square 4 has points (2, negative 2), (4, negative 2), (4, negative 4), (2, negative 4).
Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of
(x, y) → (x + 5, y – 3)?
100pts
Answers
Answer:
hi baby its me nick this is my new account
Step-by-step explanation:
what is –89.16 – 154.81
Answers
Answer:
The answer is -243.97
Step-by-step explanation:
-89.16-154.81= -243.97
Plz help it’s due tonight!!!
Answers
Answer:
48
Step-by-step explanation:
50 + 88= 132
in triangle abc,
132+L=180
L=48
Explanation: Both triangles are similar polygons. In other words, they have corresponding angles. This means that the angles will stay the same even though the sizes of the two triangles differ. Since they have the same angles, angle N will also be 50 degrees just like angle Z. If we know that angle N is 50 degrees, and angle M is 88 degrees, then adding them together and subtracting it from 180 will get the answer since every triangle adds up to 180 degrees.
50 + 88 = 138 degrees
180 - 138 = 42 degrees
Pls I have a 50 in math rn
Answers
Answer:
A
Step-by-step explanation:
Could someone please help me answer this, please no spam, will give brainliest, thank you! (homework help)
Answers
Answer:
b<-1
Step-by-step explanation:
-3b-2>1
add 2 on both sides
-3b>3
divide both sides by -3
b<-1
Please help me with this problem
Answers
Answer:
ΔAOK ≅ ΔBOL by SAS
Step-by-step explanation:
Hello there!
We are given:
Line segment AB intersects line segment KL at point O
O is the midpoint of AB
O is the midpoint of L
We want to prove that ΔAOK is congruent to ΔBOL
From the given picture, line segments AK and LB don't exist, but we can draw them in
Once we've drawn them in, we can use the given information to help us
Since O is the midpoint of AB, AO = OB by the definition of a midpoint
O is also the midpoint of LK, and because of that, LO=OK, also because of the definition of a midpoint
Since O is the intersection of AB and KL, that means that O would help form the vertical angles <LOB and <KOA (which are congruent because of vertical angles theorem)
Now, we have 2 sides and an angle which are congruent.
In the answer, we already have ΔAOK filled in
Remember that when naming congruent triangles, the congruent pieces need to match
A corresponds with B
O corresponds with O
K corresponds with L
So, that means ΔAOK ≅ ΔBOL
The reason is because of SAS (side-angle-side). The reason why it's SAS is because we have 2 pairs of congruent sides and one angle which is congruent
Please see the picture below if you'd like a visual aid
Hope this helps!
