Answer:
39
Step-by-step explanation:
Setting up your problem and solving:
In the question it says the ratio is students to professors right? So 18 to 1.
Write that down: Students to Professors is 18 to 1.
We know that there are 702 students in that college correct?
Write that down: 702 students in the college
We are trying to find how many professors there are so...let's do that.
Number 1:
Set your equation: have your fraction bar and equal sign like this: --- = ---
On the top, we have 1 so... 1/? = ?/?
On the other top we have the x...: 1/? = x/?
Why? Because we do not know the total of professors there are so that is X.
We put the number 1 on the other side because we know that there is only 1 out of 18 professors to students.
Number 2:
On the bottom, we will have 18...: 1/18 = x/?
On the other bottom we have 702...: 1/18 = x/702
Why? Because we know that there is a total number of 18 to 1 students on the ratio and a real total of 702 students.
Number 3.
Now you have your equation set up: 1/18 = x/702
The next step is yours: cross multiple, divide on the bottom or top or find the comparison.
I'm going to divide by the bottom okay? so.. 18/702
Set that up.
(702/18)
702/18 is 39!
SO in the end there is a total of 39 professors!
'x=39'
Hoped this helped! :)
What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4
Answer:
Divide both sides by 4
Step-by-step explanation:
Please give brainliest
Answer:
divide both sides by 2
Step-by-step explanation:
becoz first step is move the numbers
pliz give a brainliest
Hurryyyy
Which system of linear inequalities is graphed?
Answer:
y ≥ 3x-1
x+3y ≤ 6
Step-by-step explanation:
The sum of two numbers is 37. Their difference is 7. What are the numbers?
Answer:
22 and 15
Step-by-step explanation:
22+15=37
22-15=7
Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump
Answer:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
Step-by-step explanation:
Let the time for which Grace jumps the rope = [tex]x[/tex] minutes
Let the time for which Zoe jumps the rope = [tex]y[/tex] minutes
As per question statement:
[tex]x+y=21 ..... (1)[/tex]
Number of times Grace jumps in one minute = 66
Number of times Zoe jumps in one minute = 56
Number of times Grace jumps in [tex]x[/tex] minutes = 66
Number of times Zoe jumps in [tex]y[/tex] minutes = 56
As per question statement:
[tex]66x+56y=1266 ...... (2)[/tex]
Multiplying equation (1) with 66 and subtracting equation (2) from it:
[tex]10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}[/tex]
By equation (1):
[tex]x=21-12=\bold{9\ min}[/tex]
Therefore, the answer is:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?
Answer:
9 t-shirts
Step-by-step explanation:
divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total
Choose the best term from the box.Write it on the blank
equation
• exponent
• factor
• multiple
• power
• product
(n)__tells the number of times the base is used as a(n)__.
.
50 is a(n)___of 10 because 5 × 10 = 50
Answer:
Exponent tells the number of times the base is used as a(n) power.
50 is a(n) multiple of 10 because 5 × 10 = 50
Step-by-step explanation:
Easy and please choose mine was the most helpful. I want to get Brainliest.
Answer:
(n)_exponent_tells the number of times the base is used as a(n)_power_.
50 is a(n)__multiple_of 10 because 5 × 10 = 50
Step-by-step explanation:
exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.
multiple: A Multiple of a number is that number times any whole number.
power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.
Which measure of Center would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20
Answer:
The mean.
Step-by-step explanation:
The mean because 50 is a lot bigger number than the numbers in the list.
The median (the middle number in an ordered list) would still be 15. Also the mode (15) will also stay the same.
The original mean = sum of the 6 numbers divided by 6
= 92/5 = 15.3.
When 50 is added the mean is (92 + 50) / 7 = 20.3.
Answer:
The mean
Step-by-step explanation:
Because mean is the main measure of center that we solve first before solving the others
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
Find the slope of the line passing though points (-7, 8) and (5, -7).
Answer:
13/13= Slope = 1
Step-by-step explanation:
M=rise/run, So that means 13 down then 13 to the left.
So 13/13 is the slope, but if it is simplified it is slope=1
Bart can paint 3/5 of a wall in 1/2 hour. How long does it take him to paint 5 walls?
Answer:
2 hours
Step-by-step explanation:
Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190
Answer:
It is D (-23, -7, 5, 9, 190)
Step-by-step explanation:
:)
16. Write the following in standard form
36505000
pls need ans. fast
Answer:
3.6505*10^7
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
36,505,000
Step-by-step explanation:
36505000 is 36505000 in standard form.
A number x is greater than 3.
Answer:
4,5,6,7,8,9..........................
Select the correct answer.
7
3
77
X
A) 363
C) 7
B) 33
D) 77
Answer:
B) 33
Step-by-step explanation:
Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.
Answer:
Step-by-step explanation:
25.30*8% tax = 2.02 tax
total 25.30+2.02= $27.32
Answer:
$27.32
Step-by-step explanation:
Multiply $25.30 by 0.08 (8% is equal to 0.08)
2.024
Add 2.024 to $25.30
That would be 27.324
Round to the nearest hundredth
$27.32
Hope this helps :)
Please consider Brainliest :)
1.) Select the correct equation for the following situation. Mariana had 134
crystals in her collection. This was 38 less than Rajesh's collection. How
many crystals are in Rajesh's collection?
38r = 134
r+ 38 = 134
r - 38 = 134
38 - r = 134
Answer:
r minus 38 equals to 134 this might be m not certain
The correct equation is, [tex]r-38=134[/tex] and Rajesh have 172 crystals .
Let us consider that, Rajesh had r crystals.
Mariana had 134 crystals in her collection.
Since, Rajesh has 38 more crystal than Marina . So , if we subtract 38 from crystals Rajesh have then both have equal number of crystals.
So, [tex]r-38=134[/tex]
Now, find crystals present in Rajesh collection.
[tex]r-38=134\\\\r=134+38=172[/tex]
Thus, Rajesh have 172 crystals .
Learn more about linear equation:
https://brainly.com/question/11733569
The price of an item yesterday was $120. Today, the price fell to $66. Find the percentage decrease.
HELPP
I need this written out and explained I have 10 MINUTES LEFTTT
Answer:54
Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.
Which can be used to expand the expression below?
5 3x
associative property
O commutative property
O distributive property
O subtracting
Answer:
the answer is disributive!
Step-by-step explanation:
What is the slope of a line with the equation y = 5x + ⅖ ?
Answer:
The slope would be 5
Step-by-step explanation:
The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.
Answer:
slope: 5
Step-by-step explanation:
[tex]y=mx+b[/tex] is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.
Bill has a large collection of paperback books. He decided to donate 1/3 of them to his local library. If he had 126 to start with, how many does he have left?
Answer:
42
Step-by-step explanation:
2. Count by 5¢ to complete the
pattern.
1
30¢, 35¢, 404,
Pls helpppp
-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg
Answer:
d = 8/3
Step-by-step explanation:
You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.
Answer: $4,000
Step-by-step explanation:
If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.
Hope this answer helps! :)
There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?
Answer:
7:4
Step-by-step explanation:
11-7=4
7:4
The ratio of old books to the new books is new : old = 7 : 4.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, There are 11 books on a shelf, and 7 of these books are new.
So, The number of old books are (11 - 7) = 4.
So, In the self there is 7 new books and 4 old books.
Therefore the ratio of new books to old books,
new books : old books = 7 : 4.
learn more about proportion here :
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An outdoor adventure company charges $9 per hour for a mountain
bike plus a $5 fee for a helmet.
Answer:500
Step-by-step explanation:500 +7++U+U++UU+
HELP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.
O -3
O -3/4
O 3/4
O None of the above
Answer:
none of the above
Step-by-step explanation:
the slope is: rise/run which equals y/x which equals -4/3
Will mark brainliest
y = (x + 6)(x – 7)
Distribution
Answer:
Y = [tex]x^{2}[/tex] - x - 42
Step-by-step explanation:
You can use the foil method
first, outside, inside, last
multiply the x’s together, the x times -7, the 6 times x, and then 6 times -7
Y = [tex]x^{2}[/tex] - x - 42
22. Roberto is an advertising sales representative for a magazine. He earns a commission on
his total sales each month. Last month, Roberto sold $75,000 in advertising. His commission
was $12,750. What percent does Roberto earn as commission?
Answer:
17%
Step-by-step explanation:
12,750/75,000=0.17
Which means it's 17%
Brainliest please-
A city park has a large circular garden with a path around it. The diameter of the garden is 60 feet. Jason works for the City Park Department. He needs to spread plant food all over the garden. What is the area of the park he will cover with plant food?
Answer:
He will cover 2,827.433 feet² area of the park with plant food.
Step-by-step explanation:
The diameter of the garden is 60 feet and the radius will be 60 feet/2 = 30 feet.
diameter= 60 feet
radius = diameter/ 2= 60/2= 30 feet
The area of the circle can be found by the formula πr²
Area= πr²=π(30)²
Area = 900π= 2,827.433 feet²
He will cover 2,827.433 feet² area of the park with plant food.