Answer: 14500
Step-by-step explanation:
Let the price of the mobile phone before the GST was added be represented by x.
Therefore,
x + (12% × x) = 16240
x + 0.12x = 16240
1.12x = 16240
x = 16240/1.12
x = 14500
The price of the mobile phone before the GST was added was 14500
0.6h=13.02 show work
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
A fence is being built around a rectangular garden that is 8 1/2 feet by 6 1/3 feet. Fencing comes in panels. Each panel is 2/3 of a foot wide. how many panels are needed?
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Find the positive value of x that makes the following equation true?
x^2 − 1 4 = 5x + 67 − 5x
Answer:
x=9
Step-by-step explanation:
x^2 = 5x + 81 -5x.
x^2 = 81
x=9
very important how do you sleep
Answer:
I don't sleep
Step-by-step explanation:
CAN SOMEONE PLEASE CHECK MY ANSWER!!
Answer:
Yesss, that's correct!
Step-by-step explanation:
Good luck!!!!
WILLLLLLLLLLLL MARK BRAINLISTTTTTT
Answer: -38
Step-by-step explanation:
Please help?
I need to find the measure of LO, NO
Answer:
[tex]LO = 14 \\ NO = 14[/tex]
Step-by-step explanation:
[tex]m + 7 = 2m \\ 2m - m = 7 \\ m = 7 \\ (7 + 7) = LO \\ (2 \times 7) = NO[/tex]
Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?
Answer:
13.5 ounces
Step-by-step explanation:
Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers.
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Mig
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to
travelling at 45 kph, takes 45 minutes longer for the
is station A from station B.
4. The sum of two consecutive even integers is less tha
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find
sides of the square.
Answer:
1. The sides are: 38.5, 39.5, 40.5 and 41.5
2. Presently, Inzo is 15 years old and Miz is 10 years old
3. [tex]Distance = 3682km[/tex]
4. Possible pairs are: (12, 14), (16, 18) and (20, 24)
5. [tex]L < 38m[/tex]
Step-by-step explanation:
The question has lots of missing details. See the comment section for complete question
Solving (a):
Given
Shape: Quadrilateral
Sides: Consecutive
[tex]Perimeter = 160[/tex]
Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.
So, the perimeter is:
[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]
This gives:
[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]
Collect Like Terms
[tex]160 -1-2-3= x+x+x+x[/tex]
[tex]154= 4x[/tex]
Divide both sides by 4
[tex]38.5 = x[/tex]
[tex]x =38.5[/tex]
So, the sides are: 38.5, 39.5, 40.5 and 41.5
Solving (b):
Given
Presently: [tex]Inzo = 10 + Miz[/tex]
Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)
Required: Determine their present ages
Substitute [tex]10 + Miz[/tex] for Inzo in the second equation
[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]
[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]
Multiply both sides by 3
[tex]3Miz - 15 = Miz + 5[/tex]
Collect Like Terms
[tex]3Miz -Miz = 15 + 5[/tex]
[tex]2Miz= 20[/tex]
Divide both sides by 2
[tex]Miz = 10[/tex]
Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]
[tex]Inzo = 10 + 5[/tex]
[tex]Inzo = 15[/tex]
So presently, Inzo is 15 years old and Miz is 10 years old
Solving (3):
Given
Express Train:
[tex]Speed = 100kph[/tex]
[tex]Time = t[/tex]
Local Train:
[tex]Speed = 45kph[/tex]
[tex]Time = t + 45[/tex]
Required: Determine the distance between A and B
Distance is calculated as:
[tex]Distance = Speed * Time[/tex]
For the express train:
[tex]Distance = 100 * t[/tex]
For the local train
[tex]Distance = 45 * (45 + t)[/tex]
Distance between both stations are equal; So,
[tex]100 * t = 45 * (45 + t)[/tex]
[tex]100 t = 2025 + 45t[/tex]
Collect Like Terms
[tex]100 t -45t= 2025[/tex]
[tex]55t= 2025[/tex]
Divide by 55
[tex]t = 36.82[/tex]
Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]
[tex]Distance = 100 * 36.82[/tex]
[tex]Distance = 3682km[/tex]
Solving (4):
Let the even numbers be: n and n + 2.
Sum greater than 24: [tex]n + n + 2 > 24[/tex]
Sum less than 60: [tex]n + n + 2 < 60[/tex]
So, we have:
[tex]n + n + 2 > 24[/tex]
[tex]2n + 2 > 24[/tex]
Collect Like Terms
[tex]2n > 24-2[/tex]
[tex]2n > 22[/tex]
[tex]n > 11[/tex]
[tex]n + n + 2 < 60[/tex]
[tex]2n + 2< 60[/tex]
Collect Like Terms
[tex]2n < 60-2[/tex]
[tex]2n < 58[/tex]
Divide by 2
[tex]n<29[/tex]
So, we have:
[tex]n > 11[/tex] and [tex]n < 29[/tex]
So, possible pairs are: (12, 14), (16, 18) and (20, 24)
Solving (5):
Given
[tex]Perimeter < 152m[/tex]
Required: Find the possible lengths
Let the length be L.
Perimeter is calculated as:
[tex]Perimeter =4 * L[/tex]
[tex]Perimeter =4 L[/tex]
So, we have:
[tex]4L < 152m[/tex]
Divide through by 4
[tex]L < 38m[/tex]
Hence, length is less than 38m (e.g. 37m)
Find all the zeros and multiplicities. Provide explanation. r(x)=x^2(x+5)(x-7)^3
Answer:
what do you mean by find all the zeros and multiplicities, you have me confused on that part, if you explain that part a little more then I might be able to help you out a little bit M8
Use the distributive property to write an expression equivalent to 3x+21. *
Answer:
3(x+7)
Step-by-step explanation:
An equilateral triangle with side length 1 cm is shown in the diagram, work out the height of the triangle.
Give your answer rounded to 1 DP.
Answer:
0.9 cm
Step-by-step explanation:
c is the length of the side. a is the altitude. b is the base. a is the vertical bisector if the base, so the base is 0.5 cm.
c² = a² + b²
1² = a² + 0.5²
1² - 0.5² = a²
1 - 0.25 = a²
√0.75 = a
0.8660254 = a
round to 0.9
What is the slope and y-intercept from the table?
a
m = 1/4, b = 0
b
m = -1/4, b = 5
c
m = -4, b = 5
d
m = 4, b = 0
Maria's job pays her $1500 a month what is her gross weekly wage
Answer:
annual: $18000
weekly: $346.15
Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days
Answer:
Step-by-step explanation:
d+821=5323
d=4502
So the distance she climbed in the first four days was 4502 feet.
To harmandeep or someone else please help me
Answer: 3x+6=9
3x=3
x=1
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
To solve this, we must first isolate the variable 'x':
3x + 6 = 9
-6 -6
3x = 9 - 6
Combine like terms
3x = 3
Isolate 'x' fully
3x = 3
/3 /3
x = 1
Hope this helps :)
Determine the intercepts of the line.
Y-intercept (____,____)
X-intercept(____,____)
Answer:
Y intercept (0, 0.4)
x intercept (0.3, 0)
Step-by-step explanation:
no need explanation. it ia clear from the picture.
Answer:
Y-intercepts 0,0.4
X-intercepts 0,0.3
A color printer prints 13 pages in 8 minutes How many pages does it print per minute
Answer: 13/8 or 1.625
Step-by-step explanation:
Find the side of an equilateral triangle if its area is 25√3 cm2
Answer:
10
Step-by-step explanation:
area=√3/4×a^2
100√3 = √3×a^2
a^2 = 100
a=10
side = 10
Sandeep used 8 litres of fuel to travel 76 miles.
He wants to know how many miles he will be able to travel with 22 litres of fuel.
He assumes that the distance travelled and the amount of fuel used are directly proportional.
How many miles can he drive with 22 litres of fuel?
Answer:
I got, when calculated, 209 miles. (It may be wrong)
Step-by-step explanation:
First, I calculated how many miles can Sandeep travel with 1L, therefore I divided 76 miles by 8L and got 9.5 miles on 1L.
Then I multiplied 9.2 miles by 22L and got 209 miles.
This may be wrong but if anyone else is able to work it out much appreciated if it's correct.. Your most welcome!
Daniel jarred 12 liters of jam after 4 days. How much jam did Daniel jar if he spent 7 days
making jam? Assume the relationship is directly proportional.
liters
Step-by-step explanation:
He jarred 21 in 7 days because there is 3 liters per day
⚠⚠ pls helpppp will give brainliest AND 25 points ⚠⚠
✋
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
8v + 8b = 240
4v + b = 54
------
Modify:
8v + 8b = 240
8v + 2b = 108
------
Subtract and solve for "b":
6b = 132
b = 22 (# of students in each bus)
-----
Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (# of students in each van)
Answer:
hi its been a good minute since we talked i hope ur okay
Step-by-step explanation:
Three lions and three tigers are walking in a row to get ice cream. The lions are fighting so they are not walking next to each other. in how many different ways can the three lions and three tigers walk if no two lions are the same and no two tigers are the same?
Answer:
72
Step-by-step explanation:
As 3 lions & 3 tigers are to be arranged in a way that lions are not together. It can be done as per following arrangements
LTLTLT , or TLTLTL
Lions can be positioned in six ways, Tigers can also be positioned in 6 ways. There are two alternative positions.
Hence the arrangement can be done in 2 x 6 x 6 = 72 ways
The different ways should be 72.
calculation:As 3 lions & 3 tigers are to be arranged
So, it can be
LTLTLT , or TLTLTL
Now the arrangement should be
[tex]= 2 \times 6 \times 6[/tex]
= 72 ways
learn more about the row here: https://brainly.com/question/17140488
What is the height of a triangle that has a base of 8 in. and an area of [tex]28in^{2}[/tex]
Answer:
height is 7 inches
Step-by-step explanation:
a=1/2bh
28=1/2(8)h
28=4h
/4
7=h
check your work
8x7= 56
56/2=28
What is the monthly payment for a $11,000 loan for 7 years with an annual interest rate of 2.5%?
Answer:
i d k
Step-by-step explanation:
look it up
AJKL is similar to ARST. What is the value of x?
Answer:
15
Step-by-step explanation:
(12/8) ×10 is the correct answer
If triangle JKL is similar to triangle RST then the value of x is 15.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Triangle JKL is similar to triangle RST
Let us find the value of x by forming a proportional equation
10/x = 8/12
Apply cross multiplication
120=8x
Divide both sides by 8
x=15
Hence, if triangle JKL is similar to triangle RST then the value of x is 15.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
Use the figure to complete the proportion
?/h=h/?
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
A value is decreased by 85% for a new value of 17.1. Find the original value.
Answer:
114
Step-by-step explanation:
let 'n' = original value
(17.1 - n) / n = -85/100
cross-multiply:
1710 - 100n = -85n
1710 = 15n
n = 1710/15
n = 114
5+2x+7+2x Simplify the expression .
Answer:
12 + 4x
Step-by-step explanation:
You take all of the ones which you can group together and so, you can take the 5+7 and make it 12 and the 2x + 2x = 4x. I hope this helps!
Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12
Answer:
2 is what is it
Step-by-step explanation:
