Answer:
Book of 240 pages has 12 booklets in total
Book of 160 pages has 8 booklets in total.
Total booklets both the books have in total = 20
Step-by-step explanation:
Given - There are two books: one of 240 pages and the other of 160 pages. If the 2 books are made up of booklets with the same number of pages (between 16 and 28),
To find - How many booklets do the two books have in total?
Proof -
Given that, Number of pages of a booklet is between 16 and 28.
So, The number that lies between 16 and 28 will have to divide the number of pages of both the books.
(Because given that both the books are made up of booklet with the same number of pages)
By inspection, we get
The number of pages of a booklet = 20
because
240/20 = 12 and 160/20 = 8
∴ we get
1 booklet = 20 pages
i.e.
20 pages = 1 booklet
⇒1 page = [tex]\frac{1}{20}booklet[/tex]
⇒240 pages = [tex]\frac{240}{20}booklet[/tex] = 12 booklet
So, we get
The book of 240 pages has 12 booklets in it.
Now,
1 page = [tex]\frac{1}{20}booklet[/tex]
⇒160 pages = [tex]\frac{160}{20}booklet[/tex] = 8 booklet
So, we get
The book of 160 pages has 8 booklets in it.
∴ we get
Book of 240 pages has 12 booklets in total
Book of 160 pages has 8 booklets in total.
So, Total booklets both the books have = 12 + 8 = 20
A scale drawing of a dance floor is shown. What is the area of the actual dance floor? 22 cmon the top and bottom and 14 cm on the sides 5 cm equals 8 feet
Answer:
The area of the dance floor will be 788.48ft²
Step-by-step explanation:
Since 5cm represents 8ft, it means
1cm represents 8/5ft.
The scale length is 22cm, therefore the actual length would be
22 x 8/5ft = 35.2ft
The scale breadth is 14cm, therefore the actual breadth would be
14 x 8/5ft = 22.4ft
The area of the dance floor will be
(35.2ft)(22.4ft) = 788.48ft²
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
*see attachement for diagram
Answer:
Sal would pay $93.53 to tile his entryway.
Step-by-step explanation:
Given:
1 unit = 1 foot
Tile cost = $2.15 per square foot
To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.
The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.
✔️Area of the trapezoid = ½(a + b)*h
Where,
a = 7 ft
b = 4 ft
h = 5 ft
Area of the trapezoid = ½(7 + 4)*5
= ½(11)*5
= 27.5 ft²
✔️Area of the parallelogram = b*h
b = 4 ft
h = 4ft
Area of the parallelogram = 4*4 = 16 ft²
✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²
✅Cost to tile 1 ft² = $2.15
Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53
✅Sal would pay $93.53 to tile his entryway.
Please helppp answer quick
Jack is 15 years younger than Sydney, The sum of their ages is 57. What is Sydney’s age?
Answer:
Sydney is 42 years old
Step-by-step explanation:
57 - 15 = 42
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In one day, a book store earned $189 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the next day, it earned $146 in sales for 3 copies of the cookbook and 4 copies of the science fiction novel. What was the price of each book?
The sum of two numbers is 52 . The larger number is 2 less than twice the smaller number .What are the numbers
Answer:
35.34 and 16.66
Step-by-step explanation:
Given data
let the numbers be x and y
the smaller number = x
the larger number = y
x+y=52--------1
The larger number is 2 less than twice the smaller number
y=2x-2-------2
put y= 2x-2 in eqn 1
x+2x-2=52
3x-2=52
3x=52-2
3x=50
x= 50/3
x= 16.66
put x=16.66 in eqn 1 to find y
x+y=52
16.66+y= 52
y=52-16.66
y= 35.34
Hence the numbers are
35.34 and 16.66
Check
35.34+16.66= 52
this is algebra please help
Answer:
1/8 and 1/16
Step-by-step explanation:
The negative exponent just means to right the negative inverse.
For example:
4^-2 means 4^2 but in a fraction
the answer would be 1/16
Hmmmmmskksksksksksjsjsjdj
Answer:
Hmmm
Step-by-step explanation:
Simplify the following
Solve for x. x= __________
Answer:
64
Step-by-step explanation:
160 + 136 = 296
360 - 296 = 64
need help asap i have 25minutes left
bac=57
Step-by-step explanation:
lmk=50
abc= 63 (if they are parallel)
10+15+6+15+5+15+7+13
Answer:
I think its 86
Step-by-step explanation:
I used a calculator.
**PLEASE HELP TIMED TEST**
Which expression is equivalent to the following complex fraction?
+
х
Y ||
2
X
Answer:
option A is equivalent to the complex fraction
What is the value of y in the equation below?
8y = 96
Answer:
12
Step-by-step explanation:
just divide 96 by 8
Answer:
y=12
Step-by-step explanation:
.......ur welcome.........
96÷8=12
bcs they're 8 y we divide 96 by the no. of y to get y
What is the missing length?
No links please! Giving out Brainliest too. :)
Answer:
300.46
Step-by-step explanation:
318.56cm - 18.1
Answer:
304
Step-by-step explanation:
hope it helped you out
45 divided by 75,069
Answer: 1668.2
→ Hope this helps!←
translations on a coordinate plane
Answer:
check in my page someone will answer it for me
Step-by-step explanation:
then you get your answer
Find the length of the third side. If necessary, round to the nearest tenth. 7 5
Answer:
11.66
Step-by-step explanation:
As far as I remember the Pythagorean theorem states that A squared + B squared = C Squared. A and B are your 2 input numbers so therefor 6squared + 10squared =136 but you have to find the Square root of that because you added the other two squared numbers. Your answer is approximately 11.661903
PLEASE HELP. no links.
Answer:
45 i think
Step-by-step explanation:
1. Choose the justification for the step below.
7(3+x)=14
21+77= 14
a) additive property of equality
b) multiplication/division property of equality
c) distribution
d) none of these
Answer:
C, distribution.
I need some help so here is picture
Answer:
C. sqrt3
Step-by-step explanation:
(1+2)^1/2 = 3^1/2 = sqrt3
In the expression 4x3 + 12, which is a coefficient, which is the variable, and which is a constant?
Answer:
4 and 3 are coefficanta and 12 will be a constant.
if 4 and 3 are being shared by the variable they would be coefficants
if x is not a variable then all the numbers are constants
Step-by-step explanation:
f(x) = – 2x2 - 4x – 18 Find f(-6)
Answer:
(0,-18)
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.
Answer:
Ben score -60
Sam score -20
Step-by-step explanation:
let Sam score be X
let Ben score be 3x
X+3x =80
4x =80
X=80/4
X =20 ........Sam score
Ben score=3x
=3 ×20
=60
f(x)=3(x+1)^2-4 then evaluate when x=3
Step-by-step explanation:
given
[tex]f(x) = 3{(x + 1)}^{2} - 4 \\ f(3) = 3 {(3 + 1)}^{2} - 4 \\ = 3 {(4)}^{2} - 4 \\ = 3(16) - 4 \\ = 48 - 4 \\ = 44[/tex]
Answer:
3(3+1)²-4
3(16)-4
48-4 = 44
Madjeen jogs around the pond by her house twice a day. In the morning, she jogs $3.5$ laps around the pond. In the evening, she jogs $1$ lap around the pond. Madjeen jogs a total of $5.4$ miles. Write and solve an equation to find out how many miles are in each lap around the pond.
Answer:
1.2 miles
Step-by-step explanation:
Morning laps = 3.5 laps
Evening laps = 1 lap
Total miles jogged = 5.4 miles
Total laps made = (3. 5 + 1) = 4.5 miles
Number of miles per laps covered :
Total miles jogged / number f lapses hugged around pond.
= 5.4 miles / 4.5
= 1.2 miles
Therefore, number of miles per round around the pond is 1.2 miles
What best describes how many real number solutions the equation has?
Answer:
zero, because the discriminant is negative
Step-by-step explanation:
By writing the quadratic formula, we have the discriminant written in the root as;
b^2-4ac
Now, given the expression, we can see that the discriminant here is -19
What this mean is that we have a negative discriminant
Hence, we can conclude that the roots are complex and as such, none of the roots are real
someone please help me with this I would really appreciate it (no files ) or (links) because it don’t work for me
Answer:
817.71
Step-by-step explanation:
Hi!
This involves applying trigonometry.
Because we are trying to figure out the height of Burj Khalifa, we are trying to find the length of AB. We already have CB, which is the adjacent side with respect to the angle. Then, AB would be the opposite side with respect to the angle given.
Remember SOH CAH TOA? Well, we have the adjacent and opposite sides involved in this, so we use the tangent function!
It will be as follows:
tan(73) = AB / 250
AB = (250)(tan(73))
AB = 817.71 meters
A company buys a digital scanner for $12,000.
The value of the scanner is $12,000 (1 - n/5 ) after years.
The
company has budgeted to replace the scanner when the trade-in value is $,400.
After how many years should the
company plan to replace the machine in order to receive this trade-in value?
Answer:
it will be n=4
Step-by-step explanation:
12,000 1-n/5 =2,400n
12000-12000=2,400
2,400-12000=-9600
-2400 n=4