Step-by-step explanation:
Hey there!
Given;
-6(2x-9) + (7-6x) = 0
Simplify it.
-12x + 54 + 7 - 6x = 0
-18x +61 = 0
Therefore, answer is option B.
Hope it helps!
Please help I need this
Answer:
from side a _2,4.5
from side b _-4
5,-2.
hope this will be helpful for you.
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
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
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
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
what is the significant figures for 0.045325
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.
find the LCM and hcf of 72 and 162 , leaving the LCM in prime factors
=========================================================
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:
Please helppppp!!!!!!!!
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!
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
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
what is 100^100 / 100^98 to be 100?
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:
Pleasee help
The green line below *blank*. check all that apply
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
Determine the number of roots the equation x^2+14x=-49 using the discriminant.
Answer:
[tex]\boxed {\boxed {\sf 1 \ real \ root}}[/tex]
Step-by-step explanation:
The quadratic formula is used to find the roots or zeroes of a quadratic equation. It is:
[tex]x=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}[/tex]
The discriminant helps us find the number of roots. If the discriminant is...
Negative: there are no real roots Zero: there is one real root Positive: there are two real rootsIt is the expression under the square root symbol:
[tex]b^2-4ac[/tex]
First, we must put the given quadratic equation into standard form, which is:
[tex]ax^2+bx+c=0[/tex]
The equation given is [tex]x^2 +14x= -49[/tex]. We have to move the -49 to the left side. Since it is a negative number, we add 49 to both sides.
[tex]x^2+14x+49 = -49 +49 \\x^2+14x+49=0[/tex]
Now we can solve for the discriminant because we know that:
a= 1 b= 14 c= 49Substitute these values into the formula for the discriminant.
[tex](14)^2 -4 (1)(49)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponent.
(14)²= 14 * 14= 196[tex]196- 4(1)(49)[/tex]
Multiply 4, 1, and 49.
[tex]196-196[/tex]
Subtract.
[tex]0[/tex]
The discriminant is zero, so the quadratic equation x²+ 14x = -49 has 1 real root.
2z^8- 32z^8
Help plz
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
The rectangle is 200 feet long 85 feet wide.Ignoring the corner rounding what is the distance around a hockey rink?
Answer:
570 feet
2*200 + 2*85
400 + 170
570
Step-by-step explanation:
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?
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
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:
Answer quickly plz
Circle A has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. The diameter of circle B is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
Answer:
The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.
Pi = π = 3.14
Step-by-step explanation:
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
The formula for the circumference of circle when Diameter is given = πD
π = Circumference / Diameter
For Circle A :
Circle A has a diameter of 7 inches, a circumference of 21.98 inches.
π = 21.98 inches/7 inches
π = 3.14
For Circle B
The diameter of circle B is 6 inches, the circumference is 18.84 inches
π = 18.84 inches/6 inches
π = 3.14
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
The formula for the area of the circle = πr²
Circle A has a diameter of 7 inches, an area of 38.465 square inches.
r = Radius = 7 inches ÷ 2
= 3.5 inches
π = Area / Radius²
π = 38.465 in²/(3.5 inches)²
π = 3.14
For Circle B
The diameter of circle B is 6 inches, and the area is 28.26 square inches.
r = Radius = 6 inches ÷ 2
= 3 inches
π = Area / Radius²
π = 28.26 in²/(3 inches)²
π = 3.14
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.
The observation is that the values of [tex]\pi[/tex] remain 3.14 when [tex]\pi[/tex] is calculated from the areas and circumferences of both circles
The circumference of a circleThe given parameters are:
Circle A
Diameter = 7 inchesCircumference = 21.98 inchesCircle B
Diameter = 6 inchesCircumference = 18.84 inchesThe circumference of a circle is:
[tex]C= \pi d[/tex]
Make [tex]\pi[/tex] the subject
[tex]\pi = \frac{C}{d}[/tex]
For circle A, we have:
[tex]\pi_A = \frac{21.98}{7}[/tex]
[tex]\pi_A = 3.14[/tex]
For circle B, we have:
[tex]\pi_B = \frac{18.84}{6}[/tex]
[tex]\pi_B = 3.14[/tex]
Hence, the value of [tex]\pi[/tex] in both circles is 3.14
The area of a circleThe given parameters are:
Circle A
Diameter = 7 inchesArea = 38.465 square inches.Circle B
Diameter = 6 inchesArea = 28.26 square inchesThe area of a circle is:
[tex]A= \pi \frac{d^2}{4}[/tex]
Make [tex]\pi[/tex] the subject
[tex]\pi = \frac{4A}{d^2}[/tex]
For circle A, we have:
[tex]\pi_A = \frac{4 * 38.465 }{7^2}[/tex]
[tex]\pi_A = 3.14[/tex]
For circle B, we have:
[tex]\pi_B = \frac{4 * 28.26 }{6^2}[/tex]
[tex]\pi_B = 3.14[/tex]
Hence, the value of [tex]\pi[/tex] in both circles is 3.14
The value of piThe observation is that the values of [tex]\pi[/tex] in both circles when area and circumference are used is 3.14
Read more about area and circumference at:
https://brainly.com/question/15673093
what is the length of PR?
Answer:
nhgfdsazxcvb
Step-by-step explanation:
hfdcvbn
Can someone help me with this math homework please!
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 lengths of x
I tried everything I still got it wrong
if the degrees in this triangle are truly 90-45-45, then the two unknown lengths are the same
and the pythagorean theorem holds anyways: a² + b² = c², where c is the longest side in a right triangle.
c is 16, so 16² is 256
2* a² = 256
I wrote 2 times s because a and b are of same length
devide each side by 2
a² = 128
take the root
a and b are:
[tex] \sqrt{128} = 11.31378499[/tex]
What is the value of x in this figure?
Enter your answer in the box.
x =
Answer: X = 114
Step-by-step explanation: this is because vertical angles are equal to each other.
What number cube has faces numbered 1 to 6.
Answer:
I don`t see the attachment
Step-by-step explanation:
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 $
Answer:
The mother will donate $5
Can some one help me solve these 3 questions?
ASAPPPPPPPPPpppppppppppppp
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:
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?
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
This question right here is worth 10 points the first one get it right will earn 10 points;)
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?
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%.
Instructions: Find the measure of the indicated angle to the nearest
degree.
26
?
32
? =
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
look at photo! please help needed! 1.
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
plzzz helpppp dont ignoreeee
Answer:
X= 40
Step-by-step explanation:
2(110 + 4x) = 220 + 8x = 540
8X = 320
X= 40
simplify.
[tex]( { - 2})^{ - 3} [/tex]
options:
8
1/8
-8
-1/8
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]
