Answer:
[tex]x = 2 \: or \: \frac{ - 1}{6} [/tex]
Step-by-step explanation:
Lets open the brackets.
[tex]6 {x}^{2} - 12x + x - 2 = 0[/tex]
Now lets factorise it.
[tex] = > 6 {x}^{2} - 12x + x - 2 = 0[/tex]
[tex] = > 6x(x - 2) + 1(x - 2) = 0[/tex]
[tex] = > (x - 2)(6x + 1) = 0[/tex]
Here x will have two values.
1) [tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
2) [tex]6x + 1 = 0[/tex]
[tex] = > 6x = - 1[/tex]
[tex] = > x = \frac{ - 1}{6} [/tex]
Leo has 1/3 cups of sugar. He uses 3/4 cups of sugar in a recipe. How much sugar does Leo have left?
Answer:
1/12
Step-by-step explanation:
The total quantity of sugar used = 1/3 x 3/4 = 3/12 = 1/4
what he has remaining = 1/3 - 1/4
multiplu both fractions by 12
1/3(12) - 1/4(12) = 1/12
Use the information in the table to decide which of the following statements is true. a. The interest amount increases each month. b. The principal amount decreases each month. c. The payment amount changes each month. d. The payment amount each month stays the same.
Answer:
There is no table
Step-by-step explanation:
Answer: d) the payment amount each month stays the same.
Step-by-step explanation:
Factorise
a ) 21x+49=
b ) 3y^2-y=
c ) 8x^2+4x3=
d ) 24s^3t2+10s^2t4=
Can you answer these please :)
9514 1404 393
Answer:
a) 7(3x +7)
b) y(3y -1)
c) 4x^2(2 +x)
d) 2s^2t^2(12s +5t^2)
Step-by-step explanation:
These are factored by finding the greatest common factor of the given terms. Generally, that can be found by looking at the factors and finding the largest that is common to all terms.
__
a) 21 = 7·3; 49 = 7·7. The GCF is 7. Factoring that out gives ...
7(3x +7)
__
b) y is the only factor common to both terms.
y(3y -1)
__
c) 4 and x^2 are factors common to both terms, assuming the second term is 4x^3.
4x^2(2 +x)
__
d) 10 = 2·5; 24 = 2·12; the factors s^3 and s^2 share a factor of s^2; the terms t^2 and t^4 share a factor of t^2.
2s^2t^2(12s +5t^2)
. You invest $30,000 and leave it for 50 years. It grows to $361,223. What was the interest rate? Round to the nearest tenth of a percent. Use Growth Equation A = a(1 + r)t or Decay Equation A = a(1 − r)t for #1 - 4. Label all answer with appropriate units. PLEASE HELP THANK YOU
Answer:
these lessons, we will how to solve
• word problems that involve a single Simple Interest
• word problems that involve more that one Simple Interest.
• word problems that involve Simple Interest with discounted loan.
PLZ HELP IM TIMED!!!!!!!!!!!!!!
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Write an equation representing how much Keith paid.
Step-by-step explanation:
Let x be the entry fee.
Let y be the cost of each ticket in dollars.
Since Keith paid the entry fee and 10 tickets,
we have x + 10y = $30.
Explanation Step-by-Step:
Let x reflects the fees for entry
Y is the cost of each fare,
Equation Gwen
Around x + 10y = 30... I) I
Equation of Tristan
Hey, x + 15y = 40...... (ii) The
Equation with Keith
Around x + 10y = 30.......... Iii. (iii)
By solving Eq. (ii) and (iii), we are getting
x= 10
Y = 2
Therefore, entrance fees = $10
Price of a fare = $2 = $2
Please mark me as the most brainless as it will assist me in reaching the next step.
HELP HELPPPPP WILL MARK BRAINLIEST
Exercise 141
1 Simplify these ratios.
a 2:10
8 4:6
b3:18
h 9:15
C5:25
i 10:35
d 30:5
1 75:10
e 36:12
k 72:20
f 180:20
1 140:112
Answer:
a 2:10 1:5
8 4:6 2:3
b3:18 1:6
h 9:15 3:5
C5:25 1:5
i 10:35 2:7
d 30:5 6:1
1 75:10 15:2
e 36:12 3:1
k 72:20 18:5
f 180:20 9:1
1 140:112 5:4
Step-by-step explanation:
Divide each side of the colon by the same number until you cannot divide any more.
Which system of equations could be graphed to solve the equation below?
log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 + x
Answer:
2nd choice
Step-by-step explanation:
log x/log 0.5 = log₁₉ x / log₁₀ 0.5 = log ₀.₅ x
log (2+x) / log 3 = log₃ (2+x)
Answer:
the answer is actually D, or the last option. I took the quize on ED2021. and that is what it says is the right answer.
11b+3(b+1)=14b+3
Answers:
-The equation is a conditional equation.
-The equation is a contradiction.
-The equation is a identity.
Answer:
The equation is an identity: it is true for all values
Rogers flight Took off at 9:27 AM the fire is scheduled to land at 1:05 PM if the flight lands on schedule, how long is the flight?
Answer:
3 hours 38 minutes
Step-by-step explanation:
Rogers flight Took off at 9:27 AM the fire is scheduled to land at 1:05 PM if the flight lands on schedule, how long is the flight?
To solve for this, we carry out simple Subtraction
1:05PM - 9:27AM
We can convert the landing time using a 24 hour clock
Hence:
1:05PM = 13:05PM
13:05 - 9:37
= 3:38
Therefore, the length of the flight is 3 hours 38 minutes
Answer:
3h 38min.
Step-by-step explanation:
A farmer was dividing up his one eighth acre of land between his 6 children. Since each child got the same amount of land, how much of the acre did each child receive?
Answer:
Acre of land = 43,560 sq feet
(1/8) 43,560 = 5,445 square feet
This has to be divided by 6, each child gets
5,445 /6 of an acre = 907.5 square feet
So each child received one sixth of one eighth of an acre which equals
1/48 of an acre.
PROOF:
43,560 / 48 = 907.5
Step-by-step explanation:
(Someone help)
How would we know that a rectangle that is 3 1/2 inches by 2 1/4 inches has an area of 7 7/8 square inches?
Answer:
use the area formula
Step-by-step explanation:
A=wl
multiply 3.5 times 2.25
Write a linear equation for the line with slope = 1/5 going through the point: (0, 2)
Write your equation in the form y=
Use x as the independent variable.
Answer:
y = 1/5 x + 2
Step-by-step explanation:
y = mx + b
m = slope = 1/5
b = y-intercept = 2
y = 1/5 x + 2
Write each expression using exponents. x · x · x · x · y · y
Answer:
x^4 x y^2
Step-by-step explanation:
hope this helps
Consider the triangle shown. If the perimeter of the triangle is 57, what is the length of the shortest side of the triangle?
Hey there ..!!
There is no figure here ..
Please attach the figure too ..
The length of the shortest side of the triangle is 14 units so option (B).
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given the triangle with sides 2x, x + 15, and 4x - 7.
Perimeter = Sum of all sides
2x + x + 15 + 4x - 7 = 57
7x + 8 = 57
7x = 49
x = 7
Now,
Side 2x ⇒ 2×7 = 14
x + 15 ⇒ 7 + 15 = 22
And,
4x - 7 ⇒ 4×7 - 7 = 21
Hence "The length of the shortest side of the triangle is 14 units".
For more about triangles,
https://brainly.com/question/2773823
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Given question is missing an image attached below,
Solve the equation
9=4t t=?
Answer:
t = 2.25
Step-by-step explanation:
To find t, divide each side by 4.
9 = 4t
Divide 9 by 4:
2.25 = t
So, t = 2.25
At the corner produce market, apples cost $1 each and oranges cost $2 each.
Find the cost of the following:
6 apples and 3 oranges
5 apples and 4 oranges
8 apples and 2 oranges
PLS HELP!!
Answer:
the answer is $47
Step-by-step explanation:
you'll multiply the prices of their corresponding prices
If James earns 2000$ every month, how much would James make in 11 months?
Answer:
$22,000
Step-by-step explanation:
2000 x 11
=22000
Answer:
500000000020000900000333000999990202i283u8
Solve 10 ax + 11 ax = 12ax +45 for x. Assume a ≠0.
A. x= 5a
B. X= 5/a
c. x = 1/9a
D. x = 9a
Answer:
Pretty sure it's B.
Step-by-step explanation:
The solution of given equation 10 ax + 11 ax = 12ax +45 is x = 5/a.
The correct answer is an option (B)
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We have been given an equation 10 ax + 11 ax = 12ax + 45
We need to solve given equation for x.
Assuming a ≠ 0,
⇒ 10 ax + 11 ax = 12ax +45
⇒ (10 + 11) ax = 12 ax + 45 ...............(Separate out common terms)
⇒ 21 ax = 12 ax + 45
⇒ 21 ax - 12 ax = 12ax + 45 -12 ax ...........(Subtract 12 ax from each side)
⇒ (21 - 12) ax = 45 ...............(Separate out common terms)
⇒ 9 ax = 45
⇒ 9ax/9a = 45/9a ..............(Divide both the sides by 9a)
⇒ x = 5/a
Therefore, the solution of given equation 10 ax + 11 ax = 12ax +45 is x = 5/a.
The correct answer is an option (B)
Learn more about an equation here:
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1 point
3. Solve this equation. Does the equation have one solution, no solution, or
infinitely many solutions? 8(3x - 6) = 6(4x + 8) *
One solution
No solution
Infinitely many solutions
Answer:
no solution
Step-by-step explanation:
Given
8(3x - 6) = 6(4x + 8) ← distribute both sides
24x - 48 = 24x + 48 ( add 48 to both sides )
24x = 24x + 96 ( subtract 24x from both sides )
0 = 96 ← not possible
This indicates the equation has no solution
please help me please will give brainliest to
Answer:
Step-by-step explanation:
[tex]\left \{ {{a+c=123} \atop {7a+5c=829}} \right.[/tex]
7a + 7c = 861 ...... (1)
7a + 5c = 829 ..... (2)
(1) - (2)
2c = 32
c = 16
a = 123 - 16 = 107
Answer:
16 Children, 107 Adults
Step-by-step explanation:
a + c = 123
7a + 5c = 829
a + c = 123
a = 123 - c
7a + 5c = 829
7(123 - c) + 5c = 829
861 - 7c + 5c = 829
861 - 2c = 829
-2c = 829 - 861
-2c = -32
-2c/-2 = -32/-2
c = 16
a + c = 123
a + 16 = 123
a = 123 - 16
a = 107
Write the equation of the line y = 3x + 5 when dilated by a scale factor of 2 centered
at the origin
Answer:
Warm Up: Line y = 3x – 1 is transformed by a dilation with a scale factor of 2 ... Exercise 1- The line y = 3x is dilated by a scale factor of 2 and centered at the origin. ... 5. The line y=--x-2 is graphed to the right. Write the equation of the m=273.
Step-by-step explanation:
Ahhhh
Help due asap
Show workings
- since the triangles are congruent, their side lengths and angles should be congruent.
- set them equal to each other.
3x - 5 = x + 6
2x - 5 = 6
2x = 11
x = 5.5
- now plug in.
AC = 3(5.5) - 5
AC = 11.5
so, option C.
Can someone help me plz?
Answer:
275 non spectators
Step-by-step explanation:
1. Subtract
42,500 - 31,750 - 10,475 =
275
2. Get answer
275 non-spectators
Every morning, siblings Jack and Jill roll a regular six-sided die to determine who will get to ride in the front seat on the way to school. If the number is even, Jack gets to ride in the front. If the number is odd, Jill gets to ride in the front. A. In the first 20 school days, how many times would you expect Jack to get to ride in the front seat? B. In the first 100 school days, how many times would you expect Jill to get to ride in the front seat? C. Which prediction (Jack or Jill's) do you think will be closer to the actual frequency? Use complete sentences to justify your answer.
Answer and explanation:
Probability= number of favorable outcomes/total number of outcomes
A regular six-sided die which is numbered from 1 to 6 has 3 even numbers(2,4,6) and 3 odd numbers(1,3,5)
A. Given that Jack will only ride in the front seat if the number is even, probability that Jack would ride in the front seat = 3/6=1/2
Therefore Jack will ride in the front seat half the time. In 20 days, Jack would ride in the front seat for 10 days.
B Given that Jill will ride in the front seat if the number is odd, probability that he would ride in the front seat = 3/6=1/2
Or we could simply say probability that Jill will ride in the front seat given that probability that Jack will ride in the front is 1/2 =1-1/2=1/2
C. Both predictions are likely to be closer to the actual frequency based on probability calculated.
a 14.6
b. 16.0
c 21.0
d 15.0
Answer:
A
Step-by-step explanation:
correct me if I'm wrong
Tilers older brother Joseph is 5feet 6inches tall Joseph is 16 inches taller than Tyler how tall is Tyler
Answer:
4 feet and 2 inches
Step-by-step explanation:
5 feet and 6 inces= 66 inches
66-16=50
50= 4 feet and 2 inches
Part A
Solve 4,500 ÷ 90. Enter your answer in the box.
Part B
Select all the expressions that are equal to 4,500 ÷ 90.
A. 4,500 ÷ 9 tens
B. 450 ÷ 90
C. 450 ÷ 9
D. 4,500 ÷ 9
E. 4,500 ÷ 90 tens
Answer:
Step-by-step explanation:
Part A
Solve 4,500 ÷ 90. Enter your answer in the box.
Answer : 50
Part B
Select all the expressions that are equal to 4,500 ÷ 90.
A. 4,500 ÷ 9 tens ✔️
B. 450 ÷ 90 ❌
C. 450 ÷ 9 ❌
D. 4,500 ÷ 9 ❌
E. 4,500 ÷ 90 tens ❌
Helppppp!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
Use PEMDAS:
Parenthesis:
(27-19)=(8)
Then multiplication:
6+(2*3)+4+(8)
6+(6)+4+(8)
Then add everything:
24
someone please help me w this .
Answer:
the second one
Step-by-step explanation:
