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
What is 12 1/2 - 2 5/8 ?
Answers
Answer:
4.75 or 19/4 or 4 3/4
Step-by-step explanation:
Hope this helps
3 3/4 divided by 2 1/12 in simplest form
Answers
Answer: the final answer is 1 4/5 or 9/5
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
3 3/4 turns into 15/4 and 2 1/12 turns into 25/12
Second: then flip the 2nd fraction so it becomes 12/25
now multiply straight across: 15/4 x 12/25
15 x 12=180
4 x 25=100
180/100= 9/5= 1 1/4
Simplest form of quotient of given fractions is 9/5.
The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].
How to divide two fractions?Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].
Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.
That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]
[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]
So, quotient = 9/5
Therefore, simplest form of quotient of given fractions is 9/5.
To learn more about the fractions visit:
https://brainly.com/question/10708469.
#SPJ2
In -10x + y - 5; -10x and y are what?
Answers
Answer:
The answer is -20x+1y-5
Step-by-step explanation:
b) 8 x + 3 = 35
C)_times5=80/2
Answers
Answer:
b. 8×+3=35
Step-by-step explanation:
is the answer
A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?
Answers
Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.
Given the following data:
Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kgTo find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:
For a perfectly inelastic collision:
[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]
When the carts stick together and come to rest after the collision, the final velocity is zero (0).
[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]
Initial speed = 12 m/s
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solve for k 2k-9[tex]\leq[/tex]-19
Answers
Answer:^3−28
Step-by-step explanation:
I need help with this question I beeen stuck on it
Answers
Answer:
Step-by-step explanation:
The rule says that when the bases are the same (both are the same -- s) and they are divided with different powers then you subtract the power on the denominator from the power on the numerator.
s^9 ÷ s^4
s^9 is the numerator
s^4 is the denominator
s^(9 - 4)
s^5
Quick Math Problems Plz Help Solve For X (Show Ur Work If U Can)
Answers
Answer:
5. [tex]6x^2 - x - 2[/tex]
6. [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]
Step-by-step explanation:
5:
[tex](x+ \frac{1}{2}) (6x-4)[/tex] [tex](x)(6x) + (x)(-4) + (\frac{1}{2})(6x)+(\frac{1}{2})(-4)[/tex] [tex]6x^2 - 4x + 3x - 2[/tex] [tex]6x^2 - x - 2[/tex]6:
[tex](3x-\frac{5}{2})^2[/tex] [tex](3x - \frac{5}{2})(3x - \frac{5}{2})[/tex] [tex](3x)(3x) + (3x)(\frac{-5}{2}) + (\frac{-5}{2})(3x) + (\frac{-5}{2})(\frac{-5}{2})[/tex] [tex]9x^2 - \frac{15}{2}x - \frac{15}{2}x + \frac{25}{4}[/tex] [tex]9x^2 - 15x + \frac{25}{4}[/tex] [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]The inequality _______________ represents the number of boxes of lightbulbs that Cecil started with.
Cecil had _____________ boxes of lightbulbs when he started.
Answers
Answer:
The inequality 14
Cecil had 14 boxes of lightbulbs when he started
I think not 100% sure
Step-by-step explanation:
Hope this helps :)
Find the measure of the marked angles.
The measure of the angles is
___ degrees
Answers
Answer:
43°
(4x + 19)° = (6x + 7)° [vertically opposite angles are equal]
4x+19 = 6x+7
4x + 19 -7 = 6x
4x +12 = 6x
12 = 6x - 4x
12 = 2x
2x = 12
x = 12/2
x = 6
Now replace the x with 6
(4x+19)°
= (4×6+19)°
= (24+19)°
= 43°
(6x+7)°
= (6×6+7)°
= (36+7)°
= 43°
The measure of the angles is 43 degrees
Mike and Lilly are working together on a science project. They agreed to
meet halfway between their houses and ride their bikes to the library
together. Approximately how far will Mike and Lilly ride to the library once
they meet each other at the halfway point?
Answers
The approximate distance Mike and Lilly will have to travel between halfway point and Library is 7.8 miles.
From the graph :
Mike's coordinate = (-4, 2) Lilly's coordinate = (2, - 2) Library coordinate = (4, 6)Meeting point = Halfway point :
(x1 + x2) /2 ; (y1 + y2) / 2
X - coordinate = (-4 + 2) / 2 = - 2/ 2 = - 1
Y - coordinate = (2 + (-2)) /2 = 0/2 = 0
Hence, meeting point = (-1, 0)
The distance between meeting point and library :
Distance = √[(x2 - x1)² + (y2 - y1)²]
Distance = √[(4 - (-1))² + (6 - 0)²]
Distance = √(25 + 36)
Distance = √61 = 7.8 miles
Therefore, the distance between halfway point and library ls approximately 7.8 miles
Learn more :https://brainly.com/question/8283882
I need help been stuck on this for 3 days
Answers
Evaluate |15 - 15|.
O 20
O 10
O -10
O -20
Answers
Answer:
The answer I was able to get was 0.
34500002650 in standard form 2 significant figures
Answers
Answer:
35000000000
Step-by-step explanation:
i used a calculator hope this helps
please help i wasnt at school for like a month
Answers
Answer:
The slope of the line. otherwise known as the gradient, can be found in the equation as the number in front of the x term.
In this case, it is - 1/2 (or -0.5, however you want to answer it)
what is the value of a squared + b when a = -2 and b=5
Answers
Answer:
The solution is 1
Step-by-step explanation:
(a^2)+b
(-2^2)+5
-4+5
1
Work out the median for each data set.
a.8,3,2,2,5,9
b.6, 10, 7, 15, 8, 17, 11,9
c.14 km, 7 km, 18 km, 12km, 16 km, 11 km, 13 km, 15km
d.16ml, 10ml, 10ml, 12ml, 18ml, 20ml
e. Reasoning What fraction of the values are less than the median
Answers
Answer:
do your self it is easy
Step-by-step explanation:
do your self it is easy
in wildlife park, there were 18 gray wolves. after three years, there were 27 gray wolves. what is the percent gain?
Answers
Answer:
50%
Step-by-step explanation:
The percent gain is calculated as
[tex]\frac{gain}{original}[/tex] × 100%
gain = 27 - 18 = 9 , then
percent gain = [tex]\frac{9}{18}[/tex] × 100% = [tex]\frac{1}{2}[/tex] × 100% = 50%
Joseph traveled from Boston to Framingham at 50 mph and then back to Boston at 40 mph. What was Joseph’s average speed on the round trip?
Answers
Answer:
50+40/2=70
Step-by-step explanation:
mark me as brainliest
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
Answers
Answer:
Step-by-step explanation:
d.) .7107
e.) .2185
write (n+4)(n+3)(n+2) as a permutation
Answers
Answer:
1267 456 578 123 679 333 5Step-by-step explanation:
yo
On the first day of football camp there were 106 participants. By the fifth day only 98 remained. Determine the rate of change.
Answers
Explanation:
Rate of change = change in participants over change in time
98 - 106 = -8
5 - 1 = 4
Rate: -8/4, simplified to -2
Could someone please help answer this, please no spam, thank you will give brainliest, (homework help)!
Answers
Answer:
[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]
I hope I helped you^_^
Write an expression that represents the perimeter.
Simplify your perimeter expression as much as possible.
b.
X
a
X +5
X + 1
Ob
Ос
2x + 4
Answers
will give brainliest
Answers
Answer:
the answer isA
Step-by-step explanation:
3x+1+x²-6
=3x-5+x²
=x²+3x-5
Answer:
A
Step-by-step explanation:
Simplify the expression.
options:
52
152
512
25
Answers
Answer:
The correct answer is 152
Gavin and Jim win some money and share it in the ratio 1:3. Gavin gets £15. How much did Jim get?
Answers
Answer:
£7
Step-by-step explanation:
15×203_3[2
w820362
45
f(x) = -x + 5
g(x) = x2 – x +4
Find: (f•g)(x)
Answers
Answer:
[tex](fog)(x) = - {x}^{2} + x + 9[/tex]
Step-by-step explanation:
[tex](fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9[/tex]
I hope I helped you^_^
Help me I need help on problem 6
Answers
Answer:
Mega-cleaner
Step-by-step explanation:
cleaner per quart. Per means to divide.
Solve for clean-all
[tex]1 \frac{1}{2} \div 2[/tex]
convert from a mixed number to an improper fraction. 2 x 1 + 1 = 3/2. make 2 a fraction 2/1
[tex] \frac{3}{2} \div \frac{2}{1} [/tex]
keep chang flip
[tex] \frac{3}{2} \times \frac{1}{2} [/tex]
multiply
[tex] \frac{3}{4} [/tex]
Mega -cleaner
[tex]3 \frac{1}{2} \div 4[/tex]
make an improper fraction and make 4 a fraction
[tex] \frac{7}{2} \div \frac{4}{1} [/tex]
keep change flip
[tex] \frac{7}{2} \times \frac{1}{4} [/tex]
multiply
[tex] \frac{7}{8} [/tex]
compare 3/4 and 7/8. find common denominators which is 8. change 3/4 to 8ths by multiplying by 2
[tex] \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} [/tex]
7/8 is bigger than 6/8
0
help pls!
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Answers
Step-by-step explanation:
option E is your correct answer.
hope this helps you.