PLEASE HELP 15 POINTS I'M GIVING BRAINLIEST!!!

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, the search for a way to respond to them has spurred the development of mathematics.

Here,

Let's assume that the pipelines in this instance are "a" to drain the water in 6 hours, "b" to fill the water on its own in 4 hours, and "c" to fill the water in 5 hours.

Therefore, if "a" can empty it in 6 hours, it has only completed 1/6 of the task in that time. In 6 hours, "a" would have completed 6/6 or 1 whole, the entire task, and the cistern would have been fully filled, but in 1 hour, it has only accomplished 1/6 of that.

In an hour, "b" has completed barely a quarter of the task.

In that case, "c" has only completed 1/5 of the task in an hour.

Now, assuming it took "x" hours, if "a," "b," and "c" are running, and "a" is draining while b & c filling it up.

The cistern must be filled in "x" hours, thus after 1 hour, all three have completed only 1/x of the task.

well, let's add their rates, to see what we get then.

=> 1/4 + 1/5 -1/6= 1/x

=> 15 + 20 - 10 / 60 = 1/x

=>35/60 =1/x

=> x=60/35

=>1.71 hours

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

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Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

142

Step-by-step explanation:

Definition: an = a1 + f × (n-1)

Sequence: 9, 16, 23, 30, 37, 44, 51, 58, 65 ...

Common Difference: +7

The sum of all numbers up through the 20th: 1510

20th value: 142

Hope this helps! :)

Answer:$24

Step-by-step explanation: if she started with $60 and she bought 4 neckless with the cost of each $9 we get so $9x4 is 36

$60-$36=24

$24

Answer:

write the given equation in a standard form

6x - 2y = 6

-2y = -6x + 6

y = 3x - 3

m = 3

if the lines are perpendicular to each other the product of their gradient is equal to -1

m1 × m2 = -1

3 × m = -1

3m = -1

m = -1/3

y - y1 = m(x - x1 )

y - (-1) = -1/3 ( x - (-3) )

y + 1 = -1/3 (x + 3 )

y + 1 = -1/3x - 1

y = -1/3x - 1 + 1

y = -1/3x

Answer:

[tex]36-15i[/tex]

Step-by-step explanation:

[tex](i)(1+2)(2-3i)^2 \\ \\ =3i(2-3i)^2 \\ \\ =3i(9i^2 + 4 -12i) \\ \\ =3i(-9+4-12i) \\ \\ =3i(-5-12i) \\ \\ =-15i-36i^2 \\ \\ =36-15i[/tex]

Answer:

11

Step-by-step explanation:

6x3

=18

-2

=16

divided by 4

=4

+7

=11

Answer:13.5

Step-by-step explanation:

6x3-2/4+7

First multiply 6 and 3. Then divide 2 and 4.

18-0.5+7

Then subtract 0.5 from 18 and add 7

18-0.5= 16.5

16.5+7= 13.5

Answer:

y = -8x + 10.

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -8 and the y-intercept is (0, 10), so the equation is y = -8x + 10.

To solve this problem, we need to use the basic trigonometric identities, which state that for any angle x:

sin^2(x) + cos^2(x) = 1

1 + tan^2(x) = sec^2(x)

1 + cot^2(x) = csc^2(x)

We can use these identities to simplify the expression (sin0 + cos0) = 2 + sec0 csc0/Sec0 CSC0. First, we note that sin0 + cos0 = 1, because sin^2(0) + cos^2(0) = 1. So, the left-hand side of the equation becomes 1 = 2 + sec0 csc0/Sec0 CSC0.

Next, we note that sec0 = 1/cos0 and csc0 = 1/sin0, so we can rewrite the right-hand side of the equation as 1 = 2 + 1/cos0 * 1/sin0 / Sec0 CSC0.

Then, we note that Sec0 = 1/cos0 and CSC0 = 1/sin0, so the right-hand side of the equation becomes 1 = 2 + 1/cos0 * 1/sin0 / 1/cos0 * 1/sin0. This simplifies to 1 = 2 + 1/cos0^2 * 1/sin0^2, which simplifies further to 1 = 2 + 1/cos0^2 / sin0^2.

Finally, we use the identity 1 + cot^2(0) = csc^2(0) to replace 1/sin0^2 with 1 + 1/cos0^2, which gives us 1 = 2 + 1/cos0^2 / (1 + 1/cos0^2). Solving for 1/cos0^2, we get 1/cos0^2 = -1. This means that cos0 = 0, which is not a valid value for the cosine function. Therefore, the original equation has no solution.

The value of n after solving the given equation comes to 75.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.

A variable, coefficients, and constants make up an algebraic equation in most cases.

So, we have the equation:

n/(200 - n) = 3/5

Now, solve for x as follows:

n/(200 - n) = 3/5

5n = 600 - 3n

8n = 600

n = 600/8

n = 75

Therefore, the value of n after solving the given equation comes to 75.

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The length of the other side is  4x⁻².6y⁻².9z .

How to calculate area of rectangle ?

The area of a rectangle is equal to its length times its width. Follow the steps mentioned below to find the area of a rectangle:

Step 1: Note the dimensions of length and breadth from the given data.

Step 2: Find the product of length and breadth values.

Step 3: Give the answer in square units.

Given :

Area = 40x.6y.9z

length of one side = 10 x ³y ³

∵Area of rectangle = length ˣ breadth

∴ 40x.6y.9z  = 10 x ³y ³  × length of other side

length of other side =  [tex]\frac{40x.6y.9z}{10 x^{3} y^{3} } = 4x^{-2} . 6y^{-2} . 9z[/tex]

Hence , the length of the other side is  4x⁻².6y⁻².9z .

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Use matrices created using the coefficients of the unknowns and their related determinants to apply Cramer's rule.

Three easy actions must be taken in order to describe this system as a matrix:

First, create a matrix with all the coefficients. An acronym for this is a coefficient matrix.

Multiply this matrix by the system setup's variables in another matrix.

In another matrix, place the solutions on the other side of the equal sign.

A = [[2, 3], [1, 1]]

A_{x} = [[3, 4], [1, 7]] d

A{y} = [[2, 4], [1, 7]]

det (A) = 2-3=-1

det (Ax) = 14 - 4 =10

Delta_{y} = [[2, 4], [1, 7]] det (A7), 22-2012

x = (det (Ax))/(det (A)) = 10

det (Ay) = 14 - 4 =10

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Bob divided incorrectly, 42÷6 = 7 is correct.

A division is a process of splitting a specific amount into equal parts.

Given that the Bob has 42 cookies and he wants to give all his cookies away to each of his six friends.

Which means Bob has to split 42 cookies among his 6 friends equally.

He gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies.

Bob is incorrect if we split 42 cookies to six friends, then each friend will get 7 cookies not 8 cookies.

Hence, Bob divided incorrectly, 42÷6 = 7 is correct.

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The gross pay of worker this week is $432.325

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Number of money made in one hour = $ 14.35

Number of hours, worked on Monday = 8 hours

Number of hours, worked on Tuesday = 1/2 hours

Number of hours, worked on Wednesday = 8¾ hours

Number of hours, worked on Thursday = 4 hours

Number of hours, worked on Friday = 8¼ hours

Total number of worked = 4 + 8 + 8¼ + 8¾ + 1/2

                                             = 29.5

Total gross pay = 14.35 × 29.5

                         = $432.325

Thus, The answer is $432.325

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Answer:

[tex]x=-3, 4[/tex]

Step-by-step explanation:

[tex]x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4[/tex]

The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 10⁹

The value of the expression by the repeated multiplication will be given as,

⇒ 10⁹

⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

⇒ 1,000,000,000

The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.

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Answer:

The table of contents for Envision Math Volume 1 includes the following topics:

1. Whole Number Operations

2. Decimals

3. Fractions and Mixed Numbers

4. Algebraic Thinking

5. Geometry

6. Measurement

7. Data Analysis and Probability

8. Integers

9. Ratios and Proportional Relationships

10. Expressions and Equations

11. Geometric Measurement and Transformations

12. Statistics and Probability

a) The mode of the data set is 7

b) The median of the data set is 6

c) The mean of the data set is 5.2

d) The range of the data set is 7.

Given,

Ten numbered data set; 3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8

We have to find the following;

a) Mode;-

Mode is the number that occurs the highest number of times.

Here,

7 is the most repeating number.

b) Median;-

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).

Here,

5 and 7 are in the middle.

So, Median = 5 + 7 = 12/2 = 6

c) Mean;-

A dataset's mean is calculated by dividing the total number of values by the sum of all the values.

Here,

Mean = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 / 10 = 52/10 = 5.2

d) Range;-

The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.

Here,

Lowest number = 1

Highest number = 8

Range = 8 - 1 = 7

Therefore,

a) Mode = 7

b) Median = 6

c) Mean = 5.2

d) Range = 7

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The equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Given that the directrix of parabola is at y=-3.

Focus at (5, 3)

parabola with equation  (x - h)² = 4p(y - k)

p = 3 because the distance from the focus to the directrix is 6 and p = 6/2.

The vertex (5, 0)

Substitute h as 5 and k as 0.

(x - 5)² = 4(3)(y - 0)

(x - 5)² = 12y

Divide both sides by 12

y=1/12(x - 5)²

Hence,  the equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .

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Answer:

13.3

Step-by-step explanation:

7/200=x/380

cross multiply

7(380)=200x

2660=200x

/200  /200

13.3=x

hopes this helps please mark brainliest

Answer:

18.85

Step-by-step explanation:

C=2πr

2(pi)3=18.85

Answer:

a

Step-by-step explanation: becasue i said so

Answer:

d) B => b. 0

Step-by-step explanation:

Now we have to,

→ find the y-intercept of the line.

Formula we use,

→ y = mx + b

→ b = y-intercept

Then the y-intercept is,

→ y = mx + b

→ y = (-2/3)x + 0

→ [ b = 0 ]

Hence, the y-intercept is 0.

20 is is equal to 5 multiplied by 4.

5 is equal to 20 divided by 4

The total square footage of the house is 3776 square feet.

What is dimension?

A database of research grants called Dimensions connects funding to publications, clinical trials, and patents as well as other outcomes. Dimensions is a part of the technology firm Digital Science, which has its global headquarters in London, United Kingdom.

Given:

The dimensions of each room are,

Living room = 20 ft x 15 ft

Kitchen = 12 ft x 10 ft

Bedroom 1 = 12 ft x 12 ft

Bedroom 2 = 12 ft x 10 ft

Bathroom = 8ft x 12 ft

So, the total square footage is,

(20 + 12 + 12 + 12 + 8) ft x (15 + 10 + 12 + 10 + 12) ft = 64 ft x 59 ft = 3776 square feet.

Hence, the total square footage of the house is 3776 square feet.

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The range is $53000

The box and whisker plot represents the given parameter

From the plot, we have the following representations:

Least salary = 19,000

Highest salary = 72,000

The range is calculated as

Range = Highest salary - Least salary

Substitute the known values in the above equation, so, we have the following representation

Range = 72000 - 19000

Evaluate

Range = 53000

We have

Total graduates = 120

30 out of 120 is 1/4

This means that

30 graduates = Lower quartile

From the plot, we have

Lower quartile = 25,000

This means that

30 graduates = 25,000

The salary of $33000 is at the median position

This  means that

50% earn above $33,000

25% represents the lower quartile

From the plot, we have

Lower quartile = 25,000

This means that

25% of the graduates earn above $25,000

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The required percent markup is 87.5%.

Here,
The markup is the difference between the selling price and the cost price, expressed as a percentage of the cost price.

Markup = ((Selling price - Cost price) / Cost price) x 100%

In this case, the cost of materials is $80 and the selling price is $150, so the markup is:

Markup = ((150 - 80) / 80) x 100%

Markup = (70 / 80) x 100%

Markup = 0.875 x 100%

Markup = 87.5%

Therefore, the percent markup is 87.5%.

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The addition equation is 93 - 67 = 26 in the number line.

What is number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

The entire question is depicted in the picture that is attached.

Richard added 26 to 67 by first marking point 67 on the line, then adding 2 tens and 2 threes until he reached 93 as opposed to subtracting 67 to 93 by subtracting 6 tens and 7 ones starting at point 93, which results in 26.

Take note that 26 is equal to 10 plus 10 plus three additional times.

To verify his work, we add the following: 67 + 26 = 93, which is also written as 93 - 67 = 26.

Hence the addition equation is 93 - 67 = 26.

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Answer:

-------------------------------

Use dimensions of the rectangle to find its area: