Answer:
12,662 books
Step-by-step explanation:
Total number of books = 75,972
No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.
No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)
= [tex] \frac{75}{100}*50,648 = 37,986 [/tex]
No. of business books = 37,986
No. of maths books in the math section = 75,972 - (25,324 + 37,986)
= 75,972 - 63,310
= 12,662 books
It takes 5 hours to paint every bedroom in a condominium compound. There are 60 bedrooms in every building. How long will it take to paint all the bedrooms if there are similar 4 buildings in the compound?
Answer:
1200 hours
Step-by-step explanation:
multiply 60 x 5 then 300 x 4
A pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute. A second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. After how many minutes will the pools contain the same amount of water?
At time t, the first pool contains 50+2.3t gal of water, while the second pool contains 102.2-3.5t gal.
They contain the same amount of water when these quantities are equal:
50 + 2.3t = 102.2 - 3.5t
5.8t = 52.2
t = 9
so the pools have the same amount of water after 9 min have passed.
The pools will contain same amount of water in 9 minutes
Let the number of minutes that the pools contain the same amount of water be represented by t.
Since the first pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute, then this will be:
= 50 + (2.3 × t)
= 50 + 2.3t ......... equation i
The second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. This will be:
= 102.2 - (3.5 × t)
= 102.2 - 3.5t ........ equation ii
Equate both equations and this will be:
50 + 2.3t = 102.2 - 3.5t
Collect like terms
2.3t + 3.5t = 102.2 - 50
5.8t = 52.2
Divide both side by 5.8
5.8t/5.8 = 52.2/5.8
t = 9
In conclusion, they'll have same amount of water in 9 minutes
Read related link on:
https://brainly.com/question/13114694
HELP MEE HURYyyYYYYYYYY
Answer:
45(1+2)
Step-by-step explanation:
Looking at you options, you can see that 45 is your Greatest common factor (GCF)
45 X 1 = 45
45 X 2 =90
45(1+2)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EP is perpendicular to AB.
The number of 90° angles formed by the intersections of EP and the two parallel lines AB and CD is
Answer:
8 right angles
Step-by-step explanation:
1. If two lines are perpendicular then we know they form 4 right angles, so EP and AB from 4 right angles.
2. The question states that AB and CD are parallel. Since we know EP is intersecting AB and CD, we can say that EP is perpendicular to CD as well because of a theorem that states, "...that if there are two parallel lines in the same plane and there is a line perpendicular to one of them, then it is also perpendicular to the other one."
3. So because of that theroem, we can add another 4 right angles from the intersection of EP and CD.
4. When you add all the right angles together, you get 8 right angles in total.
Answer:
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EP is perpendicular to AB.
The number of 90° angles formed by the intersections of EP and the two parallel lines AB and CD isStep-by-step explanation:
Create a problem where the answer to the problem is your birthday. Make sure you use the Order of Operations. birthday 13
Answer:
2[3+4/-2(3-4)]+3
Step-by-step explanation:
2[3+-2(-1)] +3
2[3+2] +3
2(5) +3
10+3
13
when the number is reduced by 15% , the answer is 6154 . What is the original number ?
Let's assume the number as x .
15% of x = [tex]\dfrac{x \times 15}{100} [/tex]
→ [tex]\dfrac{3x}{20} [/tex]
So after reducing 15% the number will be 6154 .
→ x - 3x/20 = 6154
→ 17x/20 = 6154
→ 17x = 6154 × 20
→ 17x = 123080
→ x = 123080/17
→ x = 7240So the number is 7240
How to work out the square root of 84
Answer:
9.17(approx) is correct answer
exact answer:9.1651513899116
first u need to find the square root of 81 that is 9 then I have to divide 9 by 9×3...after this u have to add 9 in the result..
Please help me I promise I will mark Brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the inverse of the function. f(x) = 5x + 6 A). f-1(x) = quantity x plus six divided by five B). Not a one-to-one function C). f-1(x) = x divided by five minus six D). f-1(x) = quantity x minus six divided by five
Answer:
D
Step-by-step explanation:
To find the inverse, all we have to do is switch the x and f(x) so instead of f(x) = 5x + 6, it becomes:
x = 5f(x) + 6
x - 6 = 5f(x)
f⁻¹(x) = (x - 6) / 5
The ________ sum of squares measures the variability of the sample treatment means around the
overall mean.
a. treatment
b. error
c. interaction
d. total
Answer:
treatment
Step-by-step explanation:
hope this helps, I did OSM 202 MC , as well.
The TREATMENT sum of squares measures the variability of the sample treatment means around the overall mean.
The sum of squares is used to measure the variation about the mean, In ANOVA we have:
• Sum of square Error : measures the variation between each observation in a group and the mean of that group.
• Sum of square treatment : measures the variation between the mean of each group and the overall mean.
• Total Sum of Square : measures the variation between each observation and the overall sample mean.
Hence, Treatment sum of squares measures variation between sample treatment and overall sample mean.
Learn more : https://brainly.com/question/23638404
Find the value of x.
A.48
B.56
C.68
D.76
Answer:
A
Step-by-step explanation:
The secant- tangent angle 78° is half the difference of the intercepted arcs
[tex]\frac{1}{2}[/tex] (204 - x) = 78 ( multiply both sides by 2 )
204 - x = 156 ( subtract 204 from both sides )
- x = - 48 ( multiply both sides by - 1 )
x = 48
Answer:
A.) 48
Step-by-step explanation:
I got it correct on founders edtell
What is the slope of line m?|
ty
2
-2
-2
DONE
Answer:
-1/2
Step-by-step explanation:
Pick two points on the line
( 0,0) (2,-1)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-1-0)/(2-0)
= -1/2
= -1/2
what source is mayonnaise
Answer:
Mayonnaise is made by combining lemon juice or vinegar with egg yolks. Eggs (containing the emulsifier lecithin) bind the ingredients together and prevent separation. Then, oil is added drop by drop as the mixture is rapidly whisked.
2(x + 4) - 5 = 3x + 3
Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
Answer:
x=0
Step-by-step explanation:
Use Cymath it helps with problems like that... www.cymath.com
The sum of 4 consecutive even integers is 180. What are the integers?
Answer:
42, 44, 46, 48
Step-by-step explanation:
Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.
We can combine like terms, getting 4x + 12 = 180.
Then we get x as 42.
The numbers are 42, 44, 46, 48.
What is the solution to this system of equations?
x + y = 6
x = y + 4
A: (11/2, 1/2)
B: (21/2, 11/2)
C: (5, 1)
D: (1, 5)
Answer:
(5, 1) (Answer C)
Step-by-step explanation:
Note that the second equation features x as a function of y: x = y + 4. We can substitute y + 4 for x in the first equation, obtaining:
y + 4 + y = 6
and then, after we combine like terms,
2y = 2, or y = 1.
x = y + 4, subbing 1 for y here results in x = 1 + 4, or x = 5
The solution is (5, 1) (Answer C)
ASAPPPPP -6.75 * (-4.2)
Answer:
28.35
Step-by-step explanation:
Answer:
28.35
two negatives make a positive
The nth term of a sequence is 10n – 8 .Find the 20th term and 50th term.
Answer:
192
492
Step-by-step explanation:
aₙ = 10n - 8a₂₀ = 10*20 - 8 = 200 - 8 = 192a₅₀ = 10*50 - 8 = 500 - 8 = 492Question 1 (1 point)
This diagram is a straightedge and compass construction. A is the center
of one circle,
and B is the center of the other. Explain how we know triangle ABC is
equilateral.
Answer/Step-by-step explanation:
Segments AB and AC are both radii of the circle with center A. All radii of a circle are always equal, tgerefire,:
[tex] AB = AC [/tex]
Segments AB and BC are both radii of the circle with center B. All radii of a circle are always equal, therefore:
[tex] AB = BC [/tex]
Thus,
[tex] AB = AC = BC [/tex]
∆ABC has sides AB, AC, and BC, which are all equal (equal radii).
Therefore, ∆ABC is an equilateral triangle.
An equilateral triangle has 3 equal sides.
a can of soup has a volume of 20 pi cubic inches. the diameter of the can is 4 inches. What is the height of the can
Answer:
5 inchesStep-by-step explanation:
A can is cylindrical in nature and volume of a cylinder is expressed as;
V = πr²h where;
r is the radius of the cylindrical can
h is the height of the can.
Given parameters
Volume of the can of soup = 20πin³
diameter of the can = 4inches
Since diameter = 2r
radius = d/2 = 4/2 = 2inches
Required parameter.
Height of the can
Substituting the given parameters into the formula to get the height h will give;
20π = πr²h
20 = r²h
20 = 2²h
20 = 4h
Divide both sides by 4:
4h/4 = 20/4
h = 5inches
Hence the heighr of the can is 5 inches
Company A makes three different group of products, There are liquid products, solid products, and gas products. The ratio of liquid to solid to gas product is 3:4:5. If there are exect;y 36 different solid products, how many total products are there?
Answer: Total products = 108
Step-by-step explanation: Ratio of solid to liquid products is 3:4 and there are 36 solids, so:
[tex]\frac{3}{4} = \frac{Pl}{36}[/tex]
[tex]Pl = \frac{36.3}{4}[/tex]
Pl = 27
Ratio of solid to gas is 4:5:
[tex]\frac{4}{5}=\frac{36}{Pg}[/tex]
[tex]Pg=\frac{36.5}{4}[/tex]
Pg = 45
Total products is the sum of all products:
P = Ps + Pl + Pg
P = 36 + 27 + 45
P = 108
There are a total of 108 products.
name the four U.S cultiral regions
Answer:
(Northeast, South, Midwest, and West) hope is the right answer
Answer: The Northeast, Southwest, West, Southeast, and Midwest
Step-by-step explanation:
Which of the following correctly classifies the number -5 to all of the number sets in which it belongs?
=============================================
Explanation:
Any number you'll encounter so far in your math course will be a real number. This is until you get to something like [tex]\sqrt{-1}[/tex] which is a complex number, but your teacher may not have covered that chapter yet.
Anyways, -5 is a real number because we aren't taking the square root of a negative or anything like that.
-5 is also an integer, but that choice isn't listed. The set of integers is any positive or negative whole numbers, including 0 as well.
Furthermore, -5 is considered rational because -5 = -5/1. We can write -5 as a fraction of two integers where 0 is not in the denominator. With -5 being rational, it cannot be irrational. The term "irrational" means "not rational".
Canada has 70 national
parks and Japan has 37.
How many more national
park does Canada have?
Answer:
33
Step-by-step explanation:
Subtract Japans parks from Canadas parks
70 - 37 = 33
Answer:
70-37=33
so Canada have 33 more national parks than Japan
Step-by-step explanation:
Solve the following inequalities a) algebraically AND b) graphically.
19) X2 - X - 6 > 0
20) x2-2x - 5 > 3
21) x2 - 4x < 0
Answer:
Step-by-step explanation:
2x-x-5
A woman owns the W½ of the NW¼ of the NW¼ of a section. The adjoining property can be purchased for $2,300 per acre. How much would it cost the woman to purchase the part of the NW¼ of section she doesn't already own?"
Answer:
$322000
Step-by-step explanation:
A woman owns the W½ of the NW¼ of the NW¼ of a section.
= 640/2/4/4 = 20 acres
She wants to buy remaining of NW 1/4 = 640/4-20 = 140 acres.
It would cost = 140*2300 = $322000
Therefore, it cost $32000 to purchase the part.
What is the range of the function?
4
3
4
16
O A. (2, 4, 9.16)
B. {1,2)
O C. (1,2,3,4)
O D. {1, 2, 3, 4, 9, 16)
< PREVIOUS
Answer:
B) 1,2
Step-by-step explanation:
6. To check whether the rose bush lies on the circle, see if its coordinates make the
equation for the circle true. Show your work (2 points)
Part of question :
(x-10)^2+(y-10)^2=100
(16-10)^2+(18-10)^2=100
Answer:
Yes, equation of circle is true
Step-by-step explanation:
(x-10)^2+(y-10)^2=100
(16-10)^2+(18-10)^2=100
100=100
plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true
Work out the angle marked x in each diagram you must show your working
Anwser: 41°
Okay so every triangle is 180° degrees in total.
We need to find the angle of x in the triangle BDC.
We know that the angle of x is 180 - ( x + 15)
We also have another triangle named BAD
Which angles are 90 + 56 + x
the angle of D in the triangle BDC is 180 -58 = 124
So 124 + 15 = 139
180 - 139 = 41
For the transformation T, write the T-1. T: (x, y) ( 2x, y + 5) T -1 (x, y) (x - 2, y - 5) (2x - 1, y + 4) (½x, y - 5)
=====================================
Explanation:
The original transformation (2x, y+5) takes any x value and doubles it. So the inverse of this is to cut the x value in half. We can say x/2 since division is the opposite of multiplication. The value x/2 is the same as ½x
For the y coordinate, we add on 5 for the original transformation. Subtraction undoes addition meaning the inverse will have y-5.
Side note: the inverse notation [tex]T^{-1}[/tex] can be written as T^(-1).
280 in standard form
Answer:
it is already in standard form
Step-by-step explanation:
Answer:
2802.8×10²Step-by-step explanation:
The first form above is "standard form" in the US.
The second form above is "standard form" in the UK.