Answer:
4
Step-by-step explanation:
First you need to figure out how many numbers can create a 0 at the end. Of course 10, and 20 can. Next, 2*5 and 12*15 can also do that. This means you will have 4 zeros at the end. Or you can simply use a calculator!
N = 1 × 2 × 3 × 4 × ... × 20 will give four terminal zeros.
To do such question there are 2 methods, conventional and non-conventional approach.
Conventional Approach;
N = 1 × 2 × 3 × 4 × ... × 20
Non-conventional approach;
To form a zero at the end of a number, we need to multiply it with a multiple of such 10, 20, 30, etc.
Also, a multiplication of 5 and 2 gives as zero.
Therefore, numbers (5 x 2), 10, (12 x 15), and 20, will give us four terminal zeros.
hence, N = 1 × 2 × 3 × 4 × ... × 20 will give four terminal zeros.
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Of the 1450 books in the library, there are 6 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Fiction: Nonfiction: Reference:
Number of books in non fiction section = 200
Number of books in fiction section = 800
Number of books in reference section = 850
Step-by-step explanation:
Total number of books in the library = 1850
Let us assume, number of books in non fiction section = m
Number of books in fiction section= 4 x Number of books in non fiction
= 4 x (m)
So, the number of books in reference section = 650 + m
Now, Total Number of books = Number of { Fiction + Non- Fiction + Reference} Books
or, 1850 = m + (4 m) + 650 + m
or, 6 m + 650 = 1850
⇒ 6 m = 1850 - 650 = 1200
or, m = 1200 / 6 = 200
⇒ m = 200
Hence, the number of books in non fiction section = 200
Number of books in fiction section = 4 m = 4 x 200 = 800
Number of books in reference section = 650 + m = 200 + 650 = 850
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF .
Prove ΔABC ≅ ΔGFE. (10 points)
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
35,427 to nearest ten
Answer:
the answer is 35,430
Step-by-step explanation:
Find the number in the ten place 22 and look one place to the right for the rounding digit 77. Round up if this number is greater than or equal to 55 and round down if it is less than 55.
Plz Hurry This Is Timed
Answer:
2nd answer. it is because it is
Answer:
I believe the correct answer is the first one
Step-by-step explanation:
Which should be the first step in solving the equation 1.2 w minus 3.8 = 12.4? Add 3.8 to both sides of the equation. Subtract 1.2 from both sides of the equation. Multiply both sides of the equation by 1.2. Divide both sides of the equation by 3.8.
Answer:
Add 3.8 to both sides of the equation.
Step-by-step explanation:
12w−3.8=12.4
Add 3.8 to both sides.
12w=12.4+3.8
Add 12.4 and 3.8 to get 16.2.
12w=16.2
Divide both sides by 12.
w= 12/16.2
Expand 12/16.2 by multiplying both numerator and the denominator by 10.
w= 162/120
Reduce the fraction 162/120 to lowest terms by extracting and canceling out 6.
w= 27/20 also equal to 1.35
Answer:
A
Step-by-step explanation:
Travis received a letter from his bank saying that his checking account balance fell
zero. His account transaction log is shown below.
On which line did Travis make a mathematical error?
CHECK NO.
PAYMENT
DEPOSIT
DATE
10/17
10/18
DESCRIPTION OF TRANSACTION
Beginning Balance
CBC Audio (Headphones)
BALANCE
$367.50
-62.00
1125
$62.00
$305.50
Line 1
1126
10/22
NY Sport (Basketball Shoes)
$87.00
-87.00
$218.50
Line 2
Debit
10/25
Gary's Country Market
$38.50
-38.50
$180.00
Line 3
1127
10/25
Iggy's Skate Shop (Skateboard)
$188.00
-188.00
$8.00
Line 4
10/25
Cash Deposit (Birthday Money)
$20.00
+20.00
$28.00
Lines
Debit
10/30
McDonuts
$5.95
-5.95
$22.05
Line 6
Answer:
on line 13, where it says 1125
Answer:
Line 3
Step-by-step explanation:
L1 1126 10/22 NY Sport (Basketball Shoes) $87.00 -87.00 $218.50
L2 Debit 10/25 Gary's Country Market $38.50 -38.50 $180.00
L3 1127 10/25 Iggy's Skate Shop (Skateboard) $188.00 -188.00 $8.00
L4 10/25 Cash Deposit (Birthday Money) $20.00 +20.00 $28.00
L5 Debit 10/30 McDonuts $5.95 -5.95 $22.05
The mistake is on line 3.
He subtracted $188 from $180 and got $8.
He should have gotten -$8 instead of $8.
The figure shows the letter M and four of its transformed images-A, B, C, and D:
2 3 4 5 6
MWM
Which of the four images was formed by a reflection of the letter M? (1 point)
OA
OB
Answer:
D
Step-by-step explanation:
HOPE THIS HELPS
HAVE A good DAY
Find the slope of the line through the
given points: (2.5) & 4, 10).
Answer:
5
_
2
IS THE SLOPE OF (2,5) (4,10)
Answer:
Slope = 5/2
Step-by-step explanation:
10-5
4-2
18 - x = 15
Solve equation please
Answer:
3 is x
Step-by-step explanation:
To adopt a dog from a animal shelter, you must pay 08$ for vaccinations, 65$ to spray or neuter the dog, and 50$ for a wellness exam by a veterinarian
Answer:
ok, $65+$50+$8=123
Step-by-step explanation:
Determine the slope and y-intercept from the following equation
y = (32) x + 3
y intercept Y=3
I only know the y intercept have a good day
A watercooler contains 160 cups of water. During practice, each person on a team fills a
water bottle with 3 1/3 cups of water from the cooler. Is there enough water for all 45
people on the team to fill their water bottles?
O yes
Ono
It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to feed 14 people. If everyone gets a same sized piece how big is the piece going to be?
I NEED THIS ANSWER ASAP PLZ
Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]
Step-by-step explanation:
Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]
Total people = 14
If everyone gets a same sized piece , then length of each piece should be
[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]
[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]
Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]
pls help solve for z
Answer:
where is the work
Step-by-step explanation:
fdcaccge so tsf
Answer:
Step-by-step explanation:
z/m - z/n = 1 Take out z as a common factor.
z (1/m - 1/n) = 1 Find the common denominator of the 2 fractions
m * n is the common denominator. Multiply the two fractions by mn
z (n - m)/mn = 1 Multiply by mn
z (n - m) = mn Divide by n - m
z = mn/(n - m)
The last line is your answer.
help me with math plsssssssssssss
On a tour of an gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1323.80 per ounce. How much is your nugget worth?
Answer:
$1085.516
Step-by-step explanation:
just multiply 1323.80 and 0.82
Please solve both for me
Answer: 21.5
Step-by-step explanation:
Subtract it all
Her recipe calls for 120 ounces of salt water to every 10 ounces of seaweed to make one bottle of elixir.She wants to make smaller bottles of her elixir using only 1 ounce of seaweed per bottle.How many ounces of salt water will go into each of the smaller bottles?
A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)
Answer: (0.79, 3.05 )
Step-by-step explanation:
Confidence interval for the population mean:
[tex]\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
[tex]\sigma[/tex] = population standard deviation
n= sample size.
[tex]z^c[/tex] = Critical z value for confidence interval c.
As per given:
n= 10
[tex]\overline{x}=1.92[/tex]
[tex]\sigma=1.83[/tex]
Critical z-value for 95% confidence = 1.96
A 95% confidence interval for the mean opinion in the population of all licensed drivers:-
[tex]1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )[/tex]
Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)
Simplify the expression. .
2.3h( 6 – k)
Step by step please
Answer:
18h - 3hk
Step-by-step explanation:
3h(6 - k)
= 3h(6) + 3h(-k)
= 18h + -3hk
= 18h - 3hk
The simplified for of the expression 2.3h(6 - k) can be written as 13.8h - 2.3hk
Given the expression :
2.3h(6 - k)
Open the bracket ; multiply values in the bracket by 2.3h
13.8h - 2.3hk
Since there is no other way to reduce the expression further, then the simplified form of the expression would be expressed as 13.8h - 2.3hk
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Please help!! What Find the Error and explain why it is wrong!
Answer:
First image attached
The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].
Second image attached
The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]
Step-by-step explanation:
First image attached
The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. The real numerator in Step E should be:
[tex]3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x[/tex]
Hence, Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].
Second image attached
The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]
And further steps are described below:
Step D
[tex]x^{2}-x+4 = 0[/tex]
Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ([tex]a = 1[/tex], [tex]b = -1[/tex], [tex]c = 4[/tex])
[tex]D = b^{2}-4\cdot a\cdot c[/tex]
[tex]D = (-1)-4\cdot (1)\cdot (4)[/tex]
[tex]D = -17[/tex] (Conjugated complex roots)
Step E
[tex](x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0[/tex]
Step F
[tex]x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936[/tex]
What is greater 1.036 1.306
Answer:
1.306
Step-by-step explanation:
1.3 is bigger than
1.03
Answer:
1.306 is greater
Step-by-step explanation:
In the ones place, the number one is equal for both numbers, so you move to the next number in the tenth place, which is .0 and .3 Three is greater than zero, which makes 1.306 greater than 1.036.
Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?
Answer:
y=−3x-5
Step-by-step explanation:
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y
y=−3x−5y
Please help ASAP!!! Christine found a sweater at Nordstrom that was priced at $72.00. She noticed there was a sign that said "All sweaters are 20% off today. How much was the sweater before tax?
a
$57.60
b
$96.40
c
$70.56
d
$56.70
Answer:
57.60
Step-by-step explanation:
72/100=0.72, 0.72x80=57.60
4.
3. A full container of juice holds 64 fluid
ounces. How many 7-fluid ounce servings
of juice are in a full container?
Answer:
9.1 or 9.1 ≈ 9
Step-by-step explanation:
All you have to do is divide 64/7 which gives you the number of containers.
Hope this helps!
tools used to physically represent numbers
Answer:
The most frequently employed tools are traditional, which include physical ... These three tools can be used independently or conjointly, depending on the type of ... Learning tools can represent mathematical ideas in multiple ways, providing ... nature of concepts, such as numbers, thereby making them real and tangible,...
Step-by-step explanation:
PLEASE HELP!?!? What is the slope of the line graphed below?
(3, 3)
(0,-6)
m =
A.1/3
B. -3
C. 3
D. -1/3
Answer:
Option B is correct -3
Step-by-step explanation:
(3, 3)
(0,-6)
Slope=y1-y2/ x1-x2
=3+6/0-3
=9/-3
=-3
Slope is -3 so option B is correct
Answer: It’s -3, just did it
Step-by-step explanation:
Which equation is equivalent to n + 4 = 11? *
O (n + 4) x 2 = 11
O (n + 4) x 2 = 11 / 2
(n+ 4) x2 = 11 x 4
(n + 4) x 2 = 11 x 2
Answer: b.
Step-by-step explanation: I have the answer sheet
The LCM of 6 and 10 is _______. Numerical Answers Expected! Answer for Blank 1:
Answer:
2
Step-by-step explanation:
2 times 3 6
2 times 5 is 10
Answer:
30
Step-by-step explanation:
The LCM of 6 and 10 is 30.
Manny is deciding between two packages of yogurt. YoFruit costs $4.48 for 16 ounces. Yummy Yogurt costs $2.64 for 8 ounces. How much more does Yummy Yogurt cost per ounce?
I NEED HELP NOW!!!!!!!!
Answer:
38 cents per ounce
Answer: $0.05
Step-by-step explanation: