Answers
Answer:
Step-by-step explanation:
<CDE or <EDC
Related Questions
Can someone help me with this math homework please!
Answers
Answer:
B
Step-by-step explanation:
In fact
for 5 pounds the cost will be 7.50
for 6 pounds 9
for 7 pounds 10.50
for 8 pounds 12
find the LCM and hcf of 72 and 162 , leaving the LCM in prime factors
Answers
=========================================================
Explanation:
Find the prime factorization of 72 and 162
72 = 8*9 = 2^3*3^2162 = 2*81 = 2*9^2 = 2*(3^2)^2 = 2*3^4Here's a simplified version of each
72 = 2^3*3^2162 = 2*3^4We have these unique primes: 2, 3
Circle the terms that have the largest exponents for each of those unique primes. So you'll circle 2^3 and 3^4. Those items circled will multiply together to get the LCM.
This means 2^3*3^4 is the LCM (lowest common multiple).
2^3*3^4 turns into 648, but your teacher wants you to keep the LCM in prime factor form.
------------------------------
Now onto the HCF (highest common factor; aka GCF).
Looking at
72 = 2^3*3^2162 = 2*3^4We again see '2's and '3's as the unique primes. Both have at 1 copy of '2' between them. They also both have 3^2 between them. It might help to think of 3^4 as 3^2*3^2.
Those common factors you circled are then multiplied.
Overall, the HCF is 2*3^2 = 2*9 = 18
-----------------------------
Side note: The HCF is useful to help reduce fractions, while the LCM is useful to help find the LCD (lowest common denominator) when adding or subtracting fractions of different denominators. There are other applications of each of these.
Answer:
LCM= 648
HCF= 18
Step-by-step explanation:
Which of the following is a geometric sequence with a common ratio of 2?
A: 14, 28, 56, 112
B: 64, 32, 16, 8
C: 87, 85, 83, 81
D: 14, 16, 18, 20
Answers
Answer:
D. 14, 16, 18, 20
Step-by-step explanation:
it's adding by 2 each time
Answer:
the answer is d my guy :)
Step-by-step explanation:
plzzz helpppp dont ignoreeee
Answers
Answer:
X= 40
Step-by-step explanation:
2(110 + 4x) = 220 + 8x = 540
8X = 320
X= 40
x = 17.5
Step-by-step explanation:
Since there’s a dashed line between the shape, the new total = 180* (degrees)
110* + 3x + x = 180*
Subtract 110 from 180
3x + x = 70
x = 17.5
Mr. Sun borrowed $15,600 for 54 months at simple interest to pay for a new swimming pool. If Mr. Sun paid the bank a total of $21,567.00, what was the simple interest rate of the loan?
Answers
Given:
Mr. Sun borrowed $15,600 for 54 months at simple interest.
Mr. Sun paid the bank a total of $21,567.00.
To find:
The rate of simple interest.
Solution:
We know that,
12 months = 1 year
1 month = [tex]\dfrac{1}{12}[/tex] year
54 months = [tex]\dfrac{54}{12}[/tex] year
54 months = 4.5 years
Simple interest is:
[tex]S.I.=Amount-Principal[/tex]
[tex]S.I.=21567-15600[/tex]
[tex]S.I.=5967[/tex]
Formula for simple interest is:
[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest in percent and t is the number of years.
Putting [tex]S.I=5967,P=15600,t=4.5[/tex], we get
[tex]5967=\dfrac{15600\times r\times 4.5}{100}[/tex]
[tex]596700=70200r[/tex]
[tex]\dfrac{596700}{70200}=r[/tex]
[tex]8.5=r[/tex]
Therefore, the rate of simple interest is 8.5%.
simplify.
[tex]( { - 2})^{ - 3} [/tex]
options:
8
1/8
-8
-1/8
Answers
Answer:
-1/8
Step-by-step explanation:
Apply exponent rule ^a^-b = 1/a^B
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{2}\mathsf{^{-3}}\\\\\\\mathsf{= \dfrac{1}{-2\times-2\times-2}}\\\\\\\mathsf{-2\times-2\times-2 =\bf (-2)^{3}}\\\\\mathsf{(-2)^3}\\\mathsf{= -2\times-2\times-2}\\\mathsf{= 4\times-2}\\\mathsf{\mathsf{= \bf -8}}\\\\\\\mathsf{= -2^{-3} \rightarrow\boxed{\bf -\dfrac{1}{8}}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: Option D. }\mathsf{\bf - \dfrac{1}{8}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
SECTION B
A matatu and Nissan left town A for town B 240km away at 8.00 a.m travelling at 90km/hr
and 120km/hr respectively. After 20 minutes the Nissan had a puncture which took 30
minutes to mend.
(5mks
a) How far from town A did the Nissan catch up with the matatu?
Answers
9514 1404 393
Answer:
180 km
Step-by-step explanation:
The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...
Matatu distance = Nissan distance
90t = 40+120(t -5/6)
0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses
60 = 30t . . . . . . . . . . . add 60
2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again
That distance from town A is ...
y = 90t = 90(2) = 180 . . . . km
Pleasee help
The green line below *blank*. check all that apply
Answers
Answer:
C and D
Step-by-step explanation:
Answer:
C & D
Step-by-step explanation:
Correct,
C. The line goes through both x & y (since it is on zero)
D. The line crosses through the exact center which is also called the origin
Incorrect,
B. It is not parallel to any line
E. It does not cross the exact x-axis line
F. It does not cross the exact y-axis line
Not 100%,
A. Not too sure whether you consider that perpendicular, might wanna look it up
Which function is the inverse of f(x) = 2x + 3?
کا انM
f'-1(x) =-1/2x-3/2
f’-1(x) = 1 / 2X - 3/2
F'-1(x) = -2x+3
F’-1(x) = 2x+3
Answers
Answer:
a) 1/2 x - 3/2
Step-by-step explanation:
y = 2x +3
y-3 = 2x
x = (y - 3 )/2
x= 1/2 - 3/2
Abc is bisected by bd for what value of x will dx= day be true?
Answers
Answer:
[tex]x=3\\[/tex]
Step-by-step explanation:
Note that because BD is an angle bisector, then angle XBD and angle DXY are equal. Also note that BYD and BXD are equal because they are both right angles. Also, by the transaitive property, BD = BD. Therefore, it can be concluded that BXD is congruent to BYD.
Therefore, we must solve [tex]5x+4=19 \Longrightarrow 5x = 15 \Longrightarrow x=3[/tex].
20 points!!!!! Help!!!!A company manufactures car radiators. The cost of producing x car radiators is given by the function f(x) = 600x + 500.
The revenue which the company receives for selling x car radiators is given by the function g(x) = 700x + 100.
Determine the resulting profit function, h, of the company.
O
h(s)
f() - g(1) = -1001 + 400
h(s)
--
g(1) - |(1) = 1001 - 400
O
Ο Ο
h()
f(x) + g(x)
= 1,3001 + 600
Oh(x)
g(a) f(I) = (7000 + 100) (600x + 500)
Answers
Answer:
100x-400
B
Step-by-step explanation:
Profit= Revenue - cost
so just subtract the two equations
(700x+100)-(600x+500)
100x-400 which is answer choice B
Answer:
Step-by-step explanation:
so subtract the cost function from the revenue function
700x + 100
-(600x + 500)
profit(x) = 100x -400
what is the length of PR?
Answers
Answer:
nhgfdsazxcvb
Step-by-step explanation:
hfdcvbn
Please helppppp!!!!!!!!
Answers
Answer:
128 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h
where b1 and b2 are the lengths of the bases and h is the height
A =1/2( 10+22) * 8
A = 1/2 (32)8
= 128
Answer:
A=128 cm²
Step-by-step explanation:
Hi there!
We are given a trapezoid and we want to find the area of it
The area of a trapezoid is given as [tex]\frac{a+b}{2}h[/tex], where a and b are the bases and h is the height
The bases are the parallel sides
They are the sides marked as 10 cm and 22 cm in this case
The height is the distance between the bases
In this case, it is the side marked as 8 cm
We know everything needed for the area, let's just label everything to avoid any confusion
a=10
b=22
h=8
Now substitute into the formula
A=[tex]\frac{a+b}{2}h[/tex]
A=[tex]\frac{10+22}{2}*8[/tex]
add the numbers on the numerator together
A=[tex]\frac{32}{2}*8[/tex]
Divide 32 by 2
A=16*8
multiply
A=128 cm²
Hope this helps!
Can some one help me solve these 3 questions?
Answers
8. Is the 1st picture
9.is the second picture
What number cube has faces numbered 1 to 6.
Answers
Answer:
I don`t see the attachment
Step-by-step explanation:
A and B are partner in a business .A contribution RS 20000 and B rs 30000 a however acts as a manager the understanding being that of the profit should get 25% for his service as manager the remaining divided in the ratio of their contribution .If B ges Rs 1350 Ashish share what would A get
Answers
Answer:
Rs 1,650
Step-by-step explanation:
The given contribution are;
A contributes Rs 20,000, and B contributes Rs 30,000
The percentage of the profit A receives as manager = 25%
The amount of the profit divided in the ratio of their contribution = The remaining profit (75%)
The amount B gets = Rs1,350
The amount A gets = required
The ratio of their contribution at which the remaining profit is shared = 20,000:30,000 = 2:3
Where, out of 5 parts of 75% of the profits, B gets 3, while A gets 2
Let P represent the profit, we have;
B's share = 3/5× 0.75 × P = 1,350
∴ P = (5 × 1,350/3)/0.75 = 3,000
A gets 25% of the profits and 2/5 of the 75% remaining profit
∴ The amount A gets = 0.25×3000 + (2/5)×0.75×3000 = 1,650
Or simply put;
A gets the remainder of the profit which is Rs 3,000 - Rs 1,350 = Rs 1,650
Questlon 4 of 10
What is the midpoint of the segment shown below?
AE
101
O A. (10.)
(5.4)
O B. (5,1)
10
(5,-3)
O C. (5,-)
O D. (10,1)
SUBMIT
Answers
Answer:
c
Step-by-step explanation:
To find the midpoint the formulas
x=x1+x2/2 and y=y1+y2/2 are used
in this case x1 is 5,x2 is 5,y1 is 4 and y2 is -3
therefore
x=5+5/2.
=10/2
=5
y=4+(-3)/2
=1/2
The midpoint of a line segment divides the line into equal segments
The midpoint of the line segment is (5,1/2)
The endpoints of the line is given as:
(5,4) and (5,-3)
The midpoint of the line is calculated as:
(x,y) = 0.5(x1 + x2, y1 + y2)
So, we have:
(x,y) = 0.5(5 + 5, 4 - 3)
Evaluate the sum and difference
(x,y) = 0.5(10, 1)
Evaluate the product
(x,y) = (5, 1/2)
Hence, the midpoint of the line segment is (5,1/2)
Read more about midpoints at:
https://brainly.com/question/16828532
At pleasant view school, 1/3 9f the grade 8 students play in the band. Of those in the band, 2/5 play woodwind instruments. What fraction of the grade 8 students play woodwinds?
Answers
Multiply the two fractions together: 1/3*2/5= 2/15
Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.5 mile she
bikes. If Emily bikes 10 miles, how much will her mother donate?
Her mother will donate $
Answers
Answer:
The mother will donate $5
Another way to solve this is divide 10 by 0.5. This gives us 20, and if we multiply 20 by 0.30 we get $6.
2z^8- 32z^8
Help plz
Answers
Answer:
-30z^8
Step-by-step explanation:
[tex]2 {z}^{8} - 32 {z }^{8} \\ = - 30 {z}^{8} [/tex]
Answer:
-30z^8
Step-by-step explanation:
2z^8- 32z^8
-30z^8
Instructions: Find the measure of the indicated angle to the nearest
degree.
26
?
32
? =
Answers
Answer:
36
Step-by-step explanation:
Since this is a right triangle we can use trig functions
cos theta = adj side / hyp
cos ? = 26/32
Taking the inverse cos of each side
cos^-1(cos ?) = cos^-1( 26/32)
? = 35.65908
To the nearest degree
? = 36
what is 100^100 / 100^98 to be 100?
Answers
Answer:
100 ^2
10000
Step-by-step explanation:
100^100 / 100^98
We know that a^b / a^c = a^(b-c)
100 ^ (100-98)
100 ^2
10000
Answer:
100
Step-by-step explanation:
Ross walked 3 m east and 6 m north. How far is he from the starting point
Answers
Answer:
3 sqrt(5) meters
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem.
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2+6^2 = c^2
9+36 = c^2
45 = c^2
Taking the square root
sqrt(45) = sqrt(c^2)
sqrt(9*5) = c
sqrt(9) sqrt(5) =c
3sqrt(5) = c
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-Ross walked 3 m east and 6 m north. Find:-How far is she from the starting point?solution:-Ross walked 3 m east and 6 m north.
so her path is a right angle triangle path.
we know that,
in a right angle triangle, According to the Pythagorean theorom,
[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]
where
l= legs b=baseh=hypotenuse According to the question, [tex]\sf{3^2+6^2=f^2 }[/tex] [tex]\sf{9+36=f^2 }[/tex] [tex]\sf{ f^2=45 }[/tex] [tex]\sf{f=\sqrt{45} }[/tex] [tex]\sf{f=3\sqrt{5} }[/tex] Therefore:-he is [tex]\sf{3\sqrt{5} }[/tex] far from the starting point
3 of 9
Express the ratio below in its simplest form.
2:4:2
Answers
Answer:
1 : 2 : 1
Step-by-step explanation:
2:4:2
Divide each term by 2
2/2:4/2:2/2
1 : 2 : 1
Please help I need this
Answers
Answer:
from side a _2,4.5
from side b _-4
5,-2.
hope this will be helpful for you.
what is the significant figures for 0.045325
Answers
Answer:
There are 5 significant digits in 0.045325 and they are 4, 5, 3, 2, and 5.
Step-by-step explanation:
Significant digits rules:
All non-zero numbers count as significant digitsLeading zeroes (zeroes in front of any non-zero numbers) are never significant digitsZeroes in-between non-zero numbers count as a significant digitsTrailing zeroes (zeroes after all non-zero numbers) count only if there is a decimalIn 0.045325, the two zeroes are leading zeroes and therefore do not count. The rest of the digits, (4, 5, 3, 2, and 5) are all non-zero and therefore count. Thus, there are 5 significant digits in 0.045325.
Mike, a Salvation Army bell ringer, has 20% as many quarters as nickels in his cup. If Mike has $6.00 in quarters and nickels, how many nickels does he have?
Answers
5.8 Nickels
Step-by-step explanation:
Let x rep no of Nickels in Mike's cup
Then x - 0.2 = Number of quarters in Mike's cup
0.2x = Amount of money that mike has from the nickels
1 ( x - 0.2) = Amount of money that Mike has from the quarter
Then,
0.2x + 1 (x - 0.2) = 6
Expand the bracket
0.2x + x - 0.2x = 6
x = 6
Recall
x - 0.2 = 0
6 - 0.2 = 5.8
Therefore, Mike has 5.8 nickels for the quarter
What is the measure of AC
Answers
Answer:
180°
Step-by-step explanation:
Well we know that AB is 90° and considering CB is the exact same I guess it's 90° too so 90+90=180°
ASAPPPPPPPPPpppppppppppppp
Answers
Answer:
8 1/2
Step-by-step explanation:
Take the decimal portion
.5
This is 5 tenths
write 5/10
Simplify
1/2
Bring the whole number back
8 1/2
Answer:
8 1/2
Step-by-step explanation:
look at photo! please help needed! 1.
Answers
Answer:
5/12
Step-by-step explanation:
it says in the question that 1/4 +1/3 is used so in order to make it simple we have to find the common denominator that is 12. so converting 1/4 is 3/12 and 1/3 is 4/12.so u add the numerator and u get 7 over 12 .so now the whole container of peanuts is 12/12 but 7/12 is used so 12-7= 5. so ur ans is 5/12
