Please answer question fast (With steps preferred, not necessary)

Answer:

Hi

Step-by-step explanation: how are you doing

We need to expand the term:

This seems like a colossal task, we would need to multiply (5x-2) 6 times. However, we can use a useful tool that is called the 'Pascal's triangle'

I'll paste an image of it above

We will use it in this way:

Each one of the rows, represent the n in the term:

So, if we have the expression (x+y) we will pay attention to the upper row, if we have (x+y)^2 we will need the second row, and so on.

In our case, we need the 6th row.

Now, usually a term of the form

As we say, look at the 6th row of the triangle, the numbers a, b, c,..., and g are given there!

And we need the term that corresponds to x^2, we need the number e=5!

So, after the expansion, the coefficient of the term x^2 will be equal to 5

what is volume answer the volume is your topic for to day

20 of the 65 percent pure fruit juice, 10 of the 90 percent pure fruit juice.

A fraction that is parts out of 100 is referred to as a percentage.100% is the totality. The percentages that make up a whole add up to 100%.When representing a percentage as a number, the % symbol is used. A decimal, fraction, mixed number, integer, or other type of number can be used.In a grid of 100 squares, shading can be used to represent a percentage.

First, we define our variables: let x be the number of pints of the first fruit drink (65% pure fruit juice), and y be the number of pints of the second fruit drink (90%pure fruit juice).

We know that there are 30 total pints of the mixture. Thus:

x+y=30

We also know that 90%of those 30 pints will be pure fruit juice, and all of the pure fruit juice will come from xor y.

For x pints of the first juice, there is .65x pure fruit juice. Similarly, for ypints of the first juice, there is .90y pure fruit juice. Thus, we get:

.65x+.90y=30 ×0.7

Now we solve. First I'll get rid of the decimals in the second equation by multiplying by 100:

65x+90y=2100

Multiply the first equation by 65 on both sides to be able to cancel out one of the terms:

65x+65y=1950

Subtract the second equation from the first equation:

25y=250

y=10

Thus, we need 10 pints of the second fruit juice (90%pure fruit juice). This means that we need 30−10=20 pints of the first fruit juice (65% pure fruit juice).

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Answer:

24

Step-by-step explanation:

Answer:

34.4

Step-by-step explanation:

Answer:

The equation of the line is 2x - 3y = 9

Step-by-step explanation:

Given:

Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (3, -1)

Solve:

- The line is parallel to the line 2x - 3y = 5

⇒ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

⇒  y = mx + c to find the slope of it

2x - 3y = 5 → subtract 2x from both sides

-3y = 5 - 2x ⇒ divide two sides by -3

y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

The slope of the line is 2/3

Given that: The line passes through point (3, -1)

Lets use the rule to find the equation of the line:

y - (-1)/x - 3 = 2/3

y + 1/x - 3 = 2/3 ⇒ by using cross multiplication

3(y + 1) = 2(x - 3) ⇒ open the brackets

3y + 3 = 2x -6 ⇒ put x and y on one side

2x - 3y = 3 + 6

2x - 3y = 9

The equation of the line is 2x - 3y = 9

~Kavinsky

We solve as follows:

The solution is 36.

1/2f(x) where f = 1 is plotted and sketched on the graph.

(Refer the graph attached below)

So, let locate function 1/2f(x) on the graph:

Therefore, 1/2f(x) is plotted and sketched on the graph.

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Since 40 x (951-686) can be rewritten as 5x (951-686), the value of 40 x (951-686) is 8 times as value of 5 x (951-685).

A multiplicative comparison compares two expressions so that they are produced when one is multiplied by a certain number.

You must be able to distinguish between the given expressions in order to do that.

So the expression 40 x (951-686) can be rewritten as 5 x (951-686), the value of 40 x (951-686) is 8 times of the expression 5 x (951-685) as we can notice here.

Without engaging in a complicated multiplication process we have to comprehend the two expressions to find the difference between the respective products.

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Answer:

56

Step-by-step explanation:

[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]

The equation of the exponential function that goes through the points (0,3) and (3,375) is y = 5(3)^x

The standard form of an exponential equation is given as y = ab^x

Using the coordinate points on the graph (0,3) and (3,375).

The equivalent equations are;

375 = ab^3

3 = ab^0

From equation2;

a= 3

Substitute into equation 1;

375 = 3b^3

b^3 = 375/3

b^3 = 125
b = 5

Determine the equation

y = 3ab^x

y = 3(5)^x

This gives the required exponential equation

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We have a quadrilateral inscribed in a circle.

The quadrilateral is a trapezoid.

When we have a quadrilateral inscribed in a circle, opposite angles are supplementary.

Then, we can write:

Answer: x = 21.1

Answer:

55%

Step-by-step explanation:

Answer:

55%

132 is 55% of 240

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

5x + 10 = -15

a) Subtract 10 from both sides.

5x + 10 - 10 = -15 - 10

5x = -25

b) Divide both sides by 5.

5x/5 = -25/5

-25/5 = -5

Your answer would be -5

Answer:

-1/5 is the slope

Step-by-step explanation:

the equation

y2-y1 over x2-x1

The amount in pounds of sugar consumed during that week from the soda is 0. 0677 pounds

A proportion can be defined as an equation in which two elements, or numbers are being set equal to each other.

It is known as a mathematical comparison between two elements or things.

It is also defined as a comparative relation on the basis of size or magnitude of elements, quantity and numbers.

From the information given, we have that;

41 grams of sugar is in each 12-ounce can

To determine the ounces in 9 cans, we have;

If 41 grams = 12 cans

Then, x = 9 cans

cross multiply

x = 41(9)/12

expand the bracket

x = 30. 75 grams

Let's convert grams to pounds

1 gram = 0. 0022 pounds

30. 75 grams = x

x = 30. 75(0. 0022)/1

x = 0. 0677 pounds

Hence, the value is 0. 0677 pounds

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Answer:

500

Step-by-step explanition

12-children

20-adults

400 sold for 6000

c-children were

500

The required solution of the given absolute value equation is 11 and -7.

Given that,

An absolute value equation is given, -1/3|2x - 4|=-6.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given expression.
-1/3|2x - 4| = -6
|2x - 4| = -6 (-3)
|2x -4| = 18
(2x - 4) = ±18
Now.
Taking (+)
2x - 4 = 18
x = 11
Similarly,
Taking (-)
2x - 4 = -18
x = -7

Thus, the required solution of the given absolute value equation is 11 and -7.

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The cost of each ticket bought by each of the group is $15.

The linear equation that represents the total cost spent by group 1 on the tickets is:

Amount spent = total amount spent on the tickets - discount

9x - 120

The linear equation that represents the total cost spent by group 2 on the tickets is:

3x - 30

Where:

x = is the cost of the tickets

If both groups spend the same amount, the above two linear equations would be equal to each other

3x - 30 = 9x - 120

In order to determine the value of x, take the following steps:

Combine similar terms together: 120 - 30 = 9x - 3x

Add similar terms: 90 = 6x

Divide both sides by 6

x = 90 / 6

x = 15

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Answer:   its 3

Step-by-step explanation: i looked it up and i found a quiz with the same question it was correct

The location of T is 3 units from the midpoint X or 6 units from the endpoint B

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Since one of the endpoints is BX and the endpoint is XT and the midpoint is X.

The distance between B and X is 3 units.

Since X is the midpoint, the distance between X and T is equal to 3 units.

Therefore, the distance between B and T is 6 units and the location of T is 3 units from X or 6 units from T.

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The area of triangle ABC is 17.5 or 35/2

To solve this, we need to know the base and height of the triangle.

In this case, the base is the side AB, and the height is the side BC

Now we can count the units to get the lenght of the sides:

AB is 7 units long

BC is 5 units long.

Now we can use the formula for the area of a triangle:

Where A is the area, b is the base and h is the height.

Putting the values of b and h:

Then the area is 35/2 or 17.5 square units

We have a terminal point (-3,-5).

We have to find cos(θ), csc (θ and tan)(θ.)

We can locate the terminal point and the angle as:

The cosine of this angle will be negative, as ( is located in the third quadrant)

The hypotenuse of this right triangle will be called R and we can calculate it using the Pythagorean theorem:

We can estimate the cosine as:

We can now relate this to the csc(θ) as:

Finally, we can calculate the tangent as:

Answer:

cos(θ) = -3√34/34

csc(θ) = -√34/5

tan(θ) = 5/3

Answer: 1yd 2ft

Explanation

s we have a subtraction, we have to have the same units. Thus, in order to do so we have to consider that 1 yd = 3ft:

Then, converting 2yf to ft:

Now, we can make the subtraction:

Finally, we can convert 3 ft to one yd:

and we have 2 ft left.

Answer:

Step-by-step explanation:

You want a system of inequalities that will define the area within the triangle with vertices (-2, 1), (1, 7), and (4, -2), including only the left side.

An equation through points (x1, y1) and (x2, y2) can be written as ...

  (y2 -y1)x -(x2 -x1)y = x1·y2 -x2·y1

Removing any common factor from the coefficients, and making sure the leading coefficient is positive will put this in standard form.

For points (-2, 1) and (1, 7), the equation of the line can be ...

  (7 -1)x -(1 -(-2))y = (-2)(7) -(1)(1)

  6x -3y = -15 . . . simplify

  2x -y = -5 . . . . . divide by 3 (shading is right of the solid line)

For points (1, 7) and (4, -2), the equation of the line can be ...

  (-2 -7)x -(4 -1)y = (1)(-2) -(7)(4)

  -9x -3y = -30 . . . simplify

  3x +y = 10 . . . . . . divide by -3 (shading is left of the dashed line)

For points (4, -2) and (-2, 1), the equation of the line can be ...

  (1 -(-2))x -(-2 -4)y = (4)(1) -(-2)(-2)

  3x +6y = 0 . . . simplify

  x +2y = 0 . . . . divide by 3 (shading is right of the dashed line)

In each of the above equations, the x-coefficient is positive. This means the equal sign can be replaced with > when shading is right of the line, and with < when shading is left of the line.

There will be an "or equal to" symbol when the line is solid.

This means our inequalities are ...

Answer:

See below

Step-by-step explanation:

Time charge =   2.75 hr * £7.00/hr =  £  1`9.25

Mileage charge =  ( 25423 - 25263) mi * 40p / mile = 6400 p

  (edited: forgot to multiply by 40p)

Now add the two charges together :   19 + (.25 * 240) + 6400/240 =

£ 45.92

  ( I think <===if I correctly did the monetary conversion between pence and pounds!     <=== I used 240 p = 1£ )

Step-by-step explanation:

what we were not told is, if he charges a full hour for a fraction of an hour, or only a corresponding fraction of his hourly rate.

I assume the first : charging a full hour for any fraction of an hour spent.

it took him 2h and 45 minutes, so that is 3 hours charged.

and he was driving

25423 - 25263 miles = 160 miles

so, he charges

3×7 + 160×0.40 = 21 + 64 = £85

if he charges also fractions of his hourly rate, then his hourly charge would be

2 3/4 × 7 = (2×4 + 3)/4 × 7 = 11×7/4 = 77/4 = £19.25

in total that would be

19.25 + 64 = £83.25

Proportionately, the number of cups of broccoli needed for a pound of beef is B. 1 and ½ cups of broccoli per beef.

Proportion refers to the numerical quantity or relationship of one variable to another, which are set equal to each other.

Proportions, like ratios, use fractional values because they show the quantity of one variable in another.

We state proportions in fractions, decimals, or percentages.

The proportion of 3/4 pound of beef to broccoli = 9/8 cups of broccoli

3/4 pound = 0.75 pound

9/8 cups = 1.125 cups

The number of cups of broccoli for a pound of beef = 1.5 cups (1.125/0.75)

1.5 cups = 1½ cups

Thus, given the proportional relationship presented, for a pound of beef, Tyler would need 1½ cups of broccoli.

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Angles and lines

We are given the following information

Angle 1 is congruent with angle 2. They have equal measures

Angle CFB measures 124°

Note that angles 4 and F are linear because they are formed by the intersection of two lines.

Linear angles add up to 180°

This means that the measure of angle 4 is:

m angle 4 = 180° - m CFB

m angle 4 = 180° - 124°

m angle 4 = 56°

now note angle 4, 1, and 2 form a straight angle of 180°. This means that

m angle 4 + m angle 1 + m angle 2 = 180°

Since angles 1 and 2 are congruent:

m angle 4 + 2* m angle 1 = 180°

Knowing that m angle 4 = 56°:

56° + 2* m angle 1 = 180°

Subtracting 56°:

2* m angle 1 = 124°

Solving:

m angle 1 = 124° / 2 = 62°

Thus, both angles 1 and 2 measure 62°

Finally, being angles 3 and 4 vertical angles (opposed by a vertex), they are congruent, thus

m angle 3 = m angle 4 = 56°

The solution is given below: