prime factorisation 545 divisible method​

The simplification of the expression 3a(15 + 3 - 3²) + 7a(8/4) gives 41a

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

3a(15 + 3 - 3²) + 7a(8/4)

Simplifying the exponents:

3a(15 + 3 - 9) + 7a(8/4)

Simplifying the terms in the bracket:

3a(9) + 7a(2)

Opening the parenthesis:

27a + 14a

Adding:

= 41a

The simplification of the expression 3a(15 + 3 - 3²) + 7a(8/4) gives 41a

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Answer:

about 4.89% is the percentage of population under 20 in Japan 2018

B lost the election by 15,840 votes.

Since A got 132000+12% of 132000 votes=147840 votes.

Answer:

okay!

Step-by-step explanation:

3x5=15+4=19 so I think 10 5 5 10 hope it he,ped I tried!

Answer:

Step-by-step explanation:

v = √(2e / m)

The equation of a straight line that is parallel to y = 2x -8 and passes through the point (0,-3) is  y=2x-3 .

The general equation of straight line is of the form y=mx+c where m is the slope of the equation and c is the y-intercept of the equation.

The slope is defined as the tangent of the angle made by the line with the positive direction of x axis.

he y-intercept of a straight line is the point where the graph passes the y-axis.

The given equation of the line is y=2x-8. Comparing the given equation with the general equation of a straight line we can conclude that the slope of the line is 2.

Two parallel lines have the same slope . Therefore the slope of the line parallel to y = 2x -8 is also 2.

We know that if a line with slope m passes through(x₁, y₁) then the equation of the line is given by

y-y₁=m(x-x₁)

The required line passes through (0,-3)

∴putting the values we get:

y-(-3)=2(x-0)

or, y+3=2x

or, y=2x-3

Therefore the line parallel to  y = 2x -8 and passing through the point (0,-3) is y=2x-3.

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Answer: The answer is  6x^4-4x

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

2400mL is the amount of 60%acid solution to mix.

Let the amount of acid be mixed be x.

From the question, we get an equation that,

60%x + 35% × 600/ x + 600 = 55%

(Here x ≠ -600, as the denominator can never be 0.)

60%× x + 35% ×600 = 55%(x + 600)

Now we have to find the value of x to know the amount of acid that is mixed in a solution.

0.60x + 0.35 × 600 = 0.55(x+600)

0.60x + 210 = 0.55 + 330

0.05x = 120

x = 120/0.05

  = 2400

Therefore we get an amount of acid to be mixed is 2400mL.

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[tex]distance = |x-y| \\ where \: x \: and \: y \: are \: any \: two \: numbers[/tex]

It doesn't matter which number you put first as long as you don't forget your absolute value.

If you don't want to put the absolute value, the equation becomes:

[tex]distance = x-y \\ where \: x \: and \: y \: are \: any \: two \: numbers \\ under \: condition \: that \: x > y[/tex]

[tex]distance = 16 - ( - 8) = 16 + 8 = 24 \\ distance = |16-(-8)|=|16+8|=|24|=24 \\ or \\distance = | - 8-(16)|=| - 8 - 16|=| - 24|=24[/tex]

The total capacity will be 8 2/5 liters.

From the information, the bottles wee filled with 6/5 liters each.

Therefore, the capacity will be:

= Number of drums × Quantity

= 7 × 6/5

= 42/5..

= 8 2/5 liters.

Therefore, the total capacity will be 8 2/5 liters.

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Answer:

  e^6 ≈ 403

Step-by-step explanation:

You want the value of e^(4x-2) when x = 2.

Put 2 where x is in the expression and do the arithmetic.

  e^(4·2 -2) = e^6 ≈ 403.429

The value of the expression is about 403.

The number of times that the spaceship can trave is 7.6 times

From the information, light travels at the speed of about 1.9×10^6 miles per second. Suppose a spaceship is able to travel at the speed of light. If the distance around Earth along the Equator is about 2.5×10^5 miles.

Therefore, the number of times that the spaceship can travel will be:

= 1.9 × 10^6 / 2.5 × 10^5

= 7.6

It can travel 7.6 times.

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The mean of the set of numbers is 4362.92

The median is 4164.5

The mode is 0.

It should be noted that the mean is the average sat of numbers. The addition of the numbers is 52355 and there are 12 numbers.

The mean will be:

= 51355 / 12

= 4362.92

The median is the number in the middle. This will be:

= (3838 + 4491)/2

= 4164.5

The mode is 0 since the observations were only once.

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By means of weighted averages, we conclude that an amount of 285 gallons are needed to prepare a 70 % salt solution.

In this problem we find two salt solutions with distinct concentrations, one with 80 % and another with 13 %, the latter in a quantity of 50 gallons. The required quantity of 80 % salt solution is determined by using weighted averages:

(80 / 100) · x + (13 / 100) · 50 = (70 / 100) · (x + 50)

0.8 · x + 13 / 2 = 0.7 · x + 35

0.1 · x = 57 / 2

0.2 · x = 57

x = 285

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Answer:

1026.9

Step-by-step explanation:

Use a calculator!

Answer:

1026.9

Step-by-step explanation:

Line the two numbers up, and start adding from the tenths place and carry numbers if needed. This could also be done with a calculator or online.

Last week, Ella worked 16 hours after school and 8 hours before school using the concept of algebraic equations.

The equality of two mathematical expressions is demonstrated by a mathematical statement called an equation.

Algebraic equations in mathematics frequently have one or more variables.

Given: Ella makes $11.25 per hour before school and $11.75 per hour after.

Total earnings of Ella from = $278

Let x be the number of hours Ella worked before school.

Let y be the number of hours Ella worked after school.

11.25x + 11.75y = 278

Given that she works twice as long after school, it follows that

y = 2x

Substituting in the equation, we get

11.25x + 11.75(2x) = 278

11.25x + 23.5x = 278

34.75x = 278

x = 8

Similarly, y= 2x

y = 16

Ella accordingly worked 16 hours after school and 8 hours before school.

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Answer:

1) 60

2) 90

Step-by-step explanation:

Evaluate (f+2) (g+8), when f = 4 and g = 2

Solution

(f+2) (g+8)

Evaluate for f=4,g=2

(4+2)(2+8)

(4+2)(2+8)

=60

Evaluate 2Tu, when T = 5 and u = 9

Solution

2tu

Evaluate for t=5,u=9

(2)(5)(9)

(2)(5)(9)

=90

Answer:

Step-by-step explanation:

replace f and g for their values

(4+2)(2+8)

= 6*10

= 60

replace t and u for their values

2*5*9

= 10*9

= 90

I stitched a photo of the solution.

we conclude that the equation x + 10 = 5 has only one solution, which is x = -5

Here we have the linear equation:

x + 10 = 5

In general, linear equations have only one solution, but let's solve this to see how many solutions it has.

If we subtract 10 in both sides of the linear equation, we will get:

x + 10 - 10 = 5 - 10

x = -5

So there is a single solution, which is x = -5.

Then we conclude that the equation below has only one solution.

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Answer:

Step-by-step explanation:

330-250 =80

Answer: 8 Remainder 4

Step-by-step explanation: Sum is the answer to addition so 5 plus 2 is 7 and 60 divided by 7 is 8 with a Remainder of 4

Samuel's test score if he got 9 questions wrong=55

Samuel's test score if he got x questions wrong=45

Mean score: A mean scale score is the average performance of a group of students on an assessment. Specifically, a mean scale score is calculated by adding all individual student scores and dividing by the number of total scores. It can also be referred to as an average.

let y equal the number of questions

let's find how many total questions are there,

100=5y

divide by the coefficient of y which in the case is 5

20=y

so we have total of 20 questions each are worth 5 points

now, Samuel got 9 questions wrong and if we know they are 20 total questions

20-9=11

so, we know Samuel got 11 questions correct

let's use an expression to figure out his score

let x be the number of questions

5x

substitute

5(11)=55

his score if he got x questions wrong

20-11=9

9(5)=45

Samuel's test score if he got 9 questions wrong=55

Samuel's test score if he got x questions wrong=45

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Answer:

Step-by-step explanation:

(2/1)(2/9) = (-4/5m)

4/9 = (-4/5m)

(-5/4)4/9 = ((-4/5)(-5/4))m  cancel out common factor on both sides

       -5/9 = M  or M = -5/9  use symmetric property of equality either one is fine for answer.

Answer:

a > 6

Step-by-step explanation:

[tex]a-2 > 4\\=a-2+2 > 4+2\\a > 6[/tex]

Answer:

5 x 10^-5

2.5 x 10^-3

0.02

0.0016

Step-by-step explanation:

Answer: $25

Step-by-step explanation:

t = t-shirts

3t + 15 = 90

3t = 75

t = 25