Factorise the given expression compleyely.
1. 2x(4-7)+(-7+4)
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Answer:
The answer is:-
(2x+1)(4-7)
Related Questions
Julia get on the bus at 8:17am. She rides 22 minutes to downtown. When she arrives, she walks 3 minutes to the pet store and then spends 26 minutes in there. Julia leaves and Walk 2 minutes to the dry cleaner. She spends 8 minutes at the dry cleaner picking up her clothes. After the dry cleaner, she waits for bus for 6 minutes. On the bus, she rides for 12 minutes before getting off in another neighborhood. Julia walks from the bus stop for 3 minutes to the café where she spends 3 hours on the line, eating, and doing work on her laptop. She walk 3 minutes back to the bus stop where Julia waits 13 minutes for the bus. She ride the bus for 34 minutes back to her original bus stop, and then walks for 15 minutes to her apartment.
What time is it when she walks in her front door?
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Answer:01:44 PM
Step-by-step explanation: Hope this helps!
Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left. Matias divided 7.6 by 10 raised to the power of
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Therefore , the solution of the given problem of equation comes out to be Matias operated with the number 760.
A linear equation is precisely what?A straightforward regression graph is created using the equation y=mx+b. B is the slope, and m is the y-intercept. Even though the portion before it consists of separate sections, it is frequently described as just a "simple algorithm combining many variables". Two factors make up bivariate linear equations. There are no solutions known for application issues involving linear equations.
Here,
When Matias moved the decimal point in 7.6 two places to the left, he essentially divided 7.6 by 100, which is equivalent to dividing by 10 raised to the power of 2.
So, if we let x be the number Matias operated with, we can set up the equation:
x ÷ 10² = 7.6
Simplifying:
x ÷ 100 = 7.6
Multiplying both sides by 100:
x = 760
Therefore, Matias operated with the number 760.
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Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
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The probability that all three number cubes will land on an odd number is 1/8
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Number of cubes = 3
Sections on each cube = 6
Odd sections on each cube = 3
This means that
P(Odd) = Odd sections/Total sections
So, we have the following representation
P(Odd) = 3/6
Simplify
P(Odd) = 1/2
For the three cubes, we have
P(All odd) = P(Odd)^Number of cubes
Substitute the known values in the above equation, so, we have the following representation
P(All odd) = (1/2)³
Evaluate
P(All odd) = 1/8
Hence, the probability is 1/8
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Answer: 1/8
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Find the measure of each angle. Assume the lines are parallel
m<2 =
m<3=
m<4=
m<5 =
m<6 =
m<7=
m<8=
Please please please help
Will give brainily
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Answer:
angles 3 5 and 7 equal 113
angles 2 4 6 and 8 equal 67
can u find all angles
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Answer:
I think it's 118°73°49° not really sure
sorry
multiply 6.23 and 2.8 the product is_________ (with solution please)
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Step-by-step explanation:
please mark me as brainlest
What's the variable of x?
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Step-by-step explanation:
in right angled triangle ;
hypotenuse² =( side 1)² +(side 2)²
(65)²=(25)² +(x)²
4225 = 625 + (x)²
4225 - 625 = x²
3580 = x²
59.83 = x
A restaurant makes smoothies in batches of 12.5 litres.
The smoothies are made from ice cream and a mixed fruit
juice in the ratio 3 : 2.
34% of the juice is apple juice.
Work out the maximum number of batches of smoothie that
can be made from 51 litres of apple juice.
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Answer: If 34% of the mixed fruit juice is apple juice, then 66% of it is a combination of other fruit juices. We can assume that the ratio of apple juice to other fruit juices remains the same in the ice cream and mixed fruit juice mixture.
Let the volume of ice cream in each batch be 3x litres and the volume of mixed fruit juice be 2x litres. Then the total volume of mixture in each batch is 5x litres.
If 34% of the mixed fruit juice is apple juice, then the volume of apple juice in each batch is 0.34 × 2x = 0.68x litres. The volume of other fruit juices in each batch is 2x − 0.68x = 1.32x litres.
The ratio of ice cream to mixed fruit juice is 3 : 2, so we have:
3x : 2x = ice cream : mixed fruit juice
Simplifying, we get:
ice cream = 1.5 × mixed fruit juice
Substituting the values we obtained earlier, we have:
3x = 1.5 × 2x
x = 0.75
Therefore, the volume of ice cream in each batch is 3x = 2.25 litres, and the volume of mixed fruit juice is 2x = 1.5 litres.
To make 1.5 litres of mixed fruit juice, we need 0.68 litres of apple juice and 0.82 litres of other fruit juices.
To make 12.5 litres of smoothies, we need 2.25 litres of ice cream and 10.25 litres of mixed fruit juice. Of this, 0.68 litres is apple juice and 9.57 litres is other fruit juices.
Therefore, to make 12.5 litres of smoothies, we need 0.68/1.5 × 12.5 = 5.67 litres of apple juice.
To make 51 litres of apple juice, we can make a maximum of 51/5.67 ≈ 9 batches of smoothies.
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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HELP ME please. i dont understand this.
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Answer:
Step-by-step explanation:
Perimeter add all the sides.
so let's walk around and combine like terms:
starting on the bottom moving to the left.
3x^2 + x^2= 4x^2 (there are no other squared terms)
back to the bottom moving left again:
-11x-3x+3x+x = -10x (-3x + 3x =0)
so -11x + x = -10x
now add all of the constants
-1 + 2 = 1
so your answer is
4x^2 -10x + 1
what is the unit rate per mile for rosas walking if last week she walked 2 miles in 40 minutes and how many miles would she walk in 1 hour ?
Answers
Answer:
3 MILES IN A HOUR BECAUSE 20 MIN = 1 MILE
Step-by-step explanation:
PLS MARK BRAINLIEST
Juan randomly surveys students in the seventh grade to learn about their favorite type of music. Of 30 respondents, 8 liked to listen to rap mus Part A Based on Juan's data, how many of the 150 students in seventh grade like to listen to rap music?
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Answer: 40
Step-by-step explanation:
150 / 30 = 5
8 x 5 = 40
40 of 150 students is equivalent to 8 of 30 students.
Where would the square root of 18 fall on the x-axis?
Answers
Answer:
4.24
Explanation:
Given the expression:
\(\sqrt[]{18}\)If 18 falls on the x-axis, then the square root will be on the y-axis.
Using the coordinate grid:
Thus, the square root of 18 is approximately 4.24.
Consider the linear second-order differential equation:
d^2y/ dx^2 + a1(x)dy/dx +ao(x)y(x)=0
Note that this equation is linear because y(x) and its derivatives appear only to the first power and there are no cross terms. It does not have constant coefficients, however, and there is no general, simple method for solving it like there is if the coefficients were constants. In fact, each equation of this type must be treated more or less individually. Nevertheless, because it is linear, we must have that if y1(x) and y2(x) are any two solutions, then a linear combination.
y(x)=c1y1(x)+c2y2(x) where c1 and c2 are constants, is also a solution. Prove that y(x) is a solution.
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Answer:
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Step-by-step explanation:
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
Answers
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answers
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork
1. What is the algebraic translation of "thrice as large as b"?
Answers
Answer:
3b
Step-by-step explanation:
Thrice as large as b is another way of saying 3b, 3(b), or 3×b.
Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?
Answers
Answer:
Let the number of shirts he sold the first week = x and the number sold the second week = 100 - x
So we have
[Sales] - [Cost] = Profit
[25x + 20(100 - x)] - [15 * 100] = 600 simplify
25x + 2000 - 20x - 1500 = 600
5x + 500 = 600 subtract 500 from both sides
5x = 100 divide both sides by 5
x = 20 = the number of shirts sold the first week
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let x = number of shirts sold in Week 1
Let y = number of shirts sold in Week 2
Profit = Selling price - cost price
If Billy purchased the shirts at a cost of $15 each, then
Week 1: Profit per shirt = $25 - $15 = $10Week 2: Profit per shirt = $20 - $15 = $5Equation 1
Total of 100 shirts purchased:
⇒ x + y = 100
Equation 2
Total profit of $600:
⇒ 10x + 5y = 600
Rewrite Equation 1 to make y the subject:
⇒ y = 100 - x
Substitute this into Equation 2 and solve for x:
⇒ 10x + 5(100 - x) = 600
⇒ 10x + 500 - 5x = 600
⇒ 10x - 5x + 500 = 600
⇒ 5x + 500 = 600
⇒ 5x = 600 - 500
⇒ 5x = 100
⇒ x = 100 ÷ 5
⇒ x = 20
Therefore, Billy sold 20 shirts in his first week.
Find the area of the shape below
Answers
I am very lost please help
Answers
Answer:
A.) R = 2160 -15t
B.) 1965 billion barrels
C.) 144.00 years
Step-by-step explanation:
Given current oil reserves of 2160 billion barrels, decreasing by 15 billion barrels per year, you want an equation for reserves R as a function of years t from now, R(13), and the value of t when R = 0.
A) ReservesEach year reserves decrease by 15 billion barrels. That means after t years, they will have decreased by 15t billion barrels.
Since are starting with 2160 billion barrels, the amount remaining is that amount with the amount of decrease being subtracted from it:
R = 2160 -15t
B) In 13 yearsThe value in 13 years is found by putting 13 where t is in the equation, and doing the arithmetic.
R = 2160 -15·13 = 1965
In 13 years, reserves ill be 1965 billion barrels.
C) DepletionTo find when reserves are zero, we solve the equation for that:
0 = R
0 = 2160 -15t . . . . . use the expression for R
15t = 2160 . . . . . . add 15t
t = 2160/15 = 144 . . . . divide by 15
Reserves will be depleted in 144 years.
B.) 1965 billion barrels
C.) 144.00 years
Enter the number that belongs in the green box
Answers
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
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The sum of 3/4 and a number is equal to 1/4 subtracted from six times the number. Find the number.
Answers
The sum of 3/4 and a number is equal to 1/4 subtracted from six times the number. The number is \(\frac{1}{5}\).
Given The sum of \(\frac{3}{4}\)and a number is equal to \(\frac{1}{4}\) subtracted from six times the number.
Let us take the number as 'n'.
So, we can write
The sum of \(\frac{3}{4}\) and a number as \(\frac{3}{4} +n\).
To sum, one must add two or more numbers or values to produce a new number.
To subtract is to take away from another value in order to obtain the desired value.
\(\frac{1}{4}\) subtracted from six times the number as \(6n-\frac{1}{4}\)
\(\frac{3}{4} +n=6n-\frac{1}{4}\\n-6n=-\frac{1}{4}-\frac{3}{4}\\-5n=-\frac{4}{4}\\5n=1\\n=\frac{1}{5}\)
Therefore, the number is \(\frac{1}{5}\).
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Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Answers
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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Please help, I am trying to get this question answered.
Answers
Triangle HGI and RPQ are similar triangle. Any options that do not match with the condition of similarity given below would be the required incorrect options.
What are Similar triangles?Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Here,
Triangle HGI and RPQ
GH/RQ = GI /PQ = HI/RP
∠H = ∠R
∠G = ∠Q
∠I = ∠P
Triangle HGI and RPQ are similar triangle
Thus, Triangle HGI and RPQ are similar triangle. Any options that do not match with the condition of similarity given below would be the required incorrect options.
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598,500 rounded to the nearest hundred thousand
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Answer:
599000
Step-by-step explanation:
What is the minimum and maximum whole number side length for △ABC with given side lengths of 9 cm and 11 cm? Please explain why
Answers
Answer:
Step-by-step explanation:
We would assume that triangle ABC is a right angled triangle. This means that we can apply Pythagoras theorem in determining the unknown side length.
For the case of the minimum side length, we would assume that the unknown length, L is one of the shorter legs of the triangle. By applying Pythagoras theorem, it becomes
11² = 9² + L²
L² = 121 - 81 = 40
L = √40 = 6.32
For the case of the maximum side length, we would assume that the unknown length, L is one of the hypotenuse of the triangle. By applying Pythagoras theorem, it becomes
L² = 9² + 11²
L² = 81 + 121 = 202
L = √202 = 14.21
The minimum side length is 6.32 and the maximum side length is 14.21
Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answers
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
Answers
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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translate & solve: 616% of what number is 4620
Answers
Answer:
250
Step-by-step explanation:
1540*100 divided by 616
A random sample of size 18 from a normal population gives 36.5 and s^2 1148. Find the upper bound of a 99% confidence interval for σ^2 (round off to the nearest integer).
Answers
The upper bound of a 99% confidence interval is found as 57.07.
A random sample of size 18.
Normal population gives 36.5.
Explain the term upper confidence bound (UCB)?
A confidence boundary which the algorithm sets to each machine on each cycle of exploration is the foundation of the deterministic UCB method for Reinforcement Learning, which focuses on exploring and exploiting.Whenever a machine is often used frequently than other machines, the border shrinks.
For the stated question-
sample size n = 18
normal population mean x = 36.5
variance s² = 1148; s = 33.88
z(α/2) for 99% confidence interval = 2.576
Thus, upper confidence bound (UCB) is estimated as;
UCB = \(x + z(\frac{\alpha}{2} )*\frac{s}{\sqrt{n} }\)
UCB = 36.5 + 2.576×33.88/√18
UCB = 36.5 + 20.57
UCB = 57.07
Therefore, the upper bound of a 99% confidence interval is found as 57.07.
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