3 2/3 divide 1 2/7 in simplest form

Answer:

Step-by-step explanation:

Answer:

0.801

Step-by-step explanation:

Answer:

0.801

Step-by-step explanation:

801/1000 = 0.801

Answer:

answer is 2

Step-by-step explanation:

Answer:

x^2+3x-4=6

Step-by-step explanation:

first you add the x

Answer: 2.1

Step-by-step explanation:

Answer: B and D

Step-by-step explanation: 8.3 · cos (90° -75°) , and i cant remember what D was sorry

Khan Academy

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

Learn more about ratio here:

https://brainly.com/question/25927869

#SPJ1

Answer:

T = 7.5

Step-by-step explanation:

One table = 4 students

  ? table = 30 students

To get the answer we criss-cross

30 * 1 = 4T(amount of table)

4T = 30

T = 30/4

T = 7.5

There should be 8 tables but the last table has 2 people sitting on it rather than 4.

Answer:

28.3

Step-by-step explanation:

A=3.14*3*3=28.27433 rounded to 28.3

Answer:

Luke has earned $9 in interest after one year.

Step-by-step explanation:

To calculate how much money Luke has earned in interest after one year, we can use the formula for simple interest:

I = P * r * t

where:

I is the interest earned

P is the principal (the initial amount of money)

r is the interest rate expressed as a decimal

t is the time period in years

In this case, we have:

P = $600 (the initial amount of money)

r = 0.015 (1.5% interest rate expressed as a decimal)

t = 1 (one year)

Plugging these values into the formula, we get:

I = $600 * 0.015 * 1 = $9

Therefore, Luke has earned $9 in interest after one year.

For more help:

Here are the steps to calculate how much money Luke has earned in interest after one year:

Step 1: Identify the given information

Read the problem carefully and identify the relevant information. In this case, we are told that Luke checks his bank account and finds that he has $600 in it. We are also given that he is earning 1.5% interest per year on this account.

Step 2: Identify the formula to use

The formula for simple interest is:

I = P * r * t

where:

I is the interest earned

P is the principal (the initial amount of money)

r is the interest rate expressed as a decimal

t is the time period in years

In this case, we are given the values of P, r, and t, so we can use this formula to calculate the interest earned.

Step 3: Plug in the values

Now we can plug in the values that we identified in Step 1 into the formula from Step 2.

I = P * r * t

I = $600 * 0.015 * 1

Simplifying the right-hand side:

I = $9

Step 4: Interpret the answer

The final answer is $9, which represents the interest earned by Luke on his $600 bank account after one year.

Hope this helps, if not I'm sorry. If you need more help (or have questions) feel free to ask me! :]

Answer:

10 sides

Step-by-step explanation:

exterior angles add up to 360°

360÷36=10

Answer:

2 1/4

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Answer:

The inverse is  5±sqrt(x+25)

Step-by-step explanation:

y = x^2 - 10x

To find the inverse, exchange x and y and solve for y

x = y^2 -10y

Complete the square

x+25 = y^2 -10y +25

x+25 = (y-5)^2

Take the square root of each side

±sqrt(x+25) = y-5

Add 5 to each side

5±sqrt(x+25) = y

The inverse is  5±sqrt(x+25)

Answer:

\(y=\pm\sqrt{x+25}+5\)

Step-by-step explanation:

Given function:

\(y=x^2-10x\)

Rearrange to make \(x\) the subject.

First, complete the square by adding 25 to both sides and factoring:

\(y+25=x^2-10x+25\)

\(y+25=(x-5)^2\)

Square root both sides:

\(\pm\sqrt{y+25}=x-5\)

Add 5 to both sides:

\(x=\pm\sqrt{y+25}+5\)

Finally, swap \(x\) and \(y\) (since the inverse of a function is its reflection in the line \(y = x\))

\(y=\pm\sqrt{x+25}+5\)

Answer:

The relationship shown for the flour and the cost is that of a direct variation because the graph is a straight line, noting that the increase of one variable causes also the increase to the value of the other. The point (1, 0.75) means that every pound of flour costs 0.75 dollar. From the graph given, the bakery will have to pay approximately $30 for 40 pounds of flour.

Step-by-step explanation:

The slope of a linear function represents the rate at which the output variable (y) changes with respect to the input variable (x). The slope is often denoted by the letter "m" and can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line.

To find the slope of Function 1, we can compare the coefficient of x in its equation with the formula for slope. We see that the coefficient of x in y = (4/5)x + 2 is 4/5. Therefore, the slope of Function 1 is 4/5.

To find the slope of Function 2, we can choose any two points from the table and use the slope formula. Let's choose the points (0, 1) and (3, 2.5). Plugging in these values, we get:

m = (2.5 - 1) / (3 - 0) = 1.5 / 3 = 1/2

Therefore, the slope of Function 2 is 1/2.

Comparing the slopes, we can see that the slope of Function 1 (4/5) is greater than the slope of Function 2 (1/2). Therefore, Function 1 has a greater slope than Function 2.

Answer:

Function 1 has the greatest slope.

Step-by-step explanation:

Function 1 is given in slope-intercept form, y = mx + b, where m is the slope (and b is the y-intercept).

Therefore, the slope of function 1 is ⁴/₅.

To find the slope of function 2, use the slope formula.

\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Let (x₁, y₁) = (0, 1)

Let (x₂, y₂) = (2, 2)

Substitute the values into the formula:

\(\implies m=\dfrac{2-1}{2-0}=\dfrac{1}{2}\)

Therefore, the slope of function 2 is ¹/₂.

To determine which function has the greatest slope, rewrite both slopes so that the denominator of the fractions are the same.

\(\textsf{Slope of function 1}=\dfrac{4}{5}=\dfrac{4 \cdot 2}{5 \cdot 2}=\dfrac{8}{10}\)

\(\textsf{Slope of function 2}=\dfrac{1}{2}=\dfrac{1 \cdot 5}{2 \cdot 5}=\dfrac{5}{10}\)

As 8 is greater than 5, the slope of function 1 is greater than the slope of function 2.

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

true

Step-by-step explanation:

The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°. The bisectors of all the three interior angles intersect inside a triangle at a point called the in-center, which is the center of the in-circle of the triangle.

Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)

Linear Equation                   General Form                    Example

Slope intercept form             y = mx + b                            y + 2x = 3

Point–slope form                   y – y1 = m(x – x1 )              y – 3 = 6(x – 2)

General Form                            Ax + By + C = 0               2x + 3y – 6 = 0

Intercept form                        x/a + y/b = 1                 x/2 + y/3 = 1

As a Function f(x) instead of y      f(x) = x + C                         f(x) = x + 3

The Identity Function                      f(x) = x                     f(x) = 3x

Constant Functions                      f(x) = C                       f(x) = 6

Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:

(x - 2i)² = x² - 4xi + 4i²

Note that i² = -1, so we can simplify this expression to:

(x - 2i)² = x² - 4xi - 4

Substituting this expression and the given values into the original expression, we get:

(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)

Grouping the real and imaginary terms, we get:

(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)

Simplifying the real part, we get:

-2x² - 1

Simplifying the imaginary part, we get:

-7i - 4x

Learn more about Linear equations here:

brainly.com/question/11897796

#SPJ1

Answer:

A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Step-by-step explanation:

edge

The supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.

What is Sin(a + b) Identity in Trigonometry?

Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.

sin (a + b) = sin a cos b + cos a sin b

According to the question

sin(x+y)

= cos (\(\frac{\pi }{2} - (x+y)\))

Now as (cos (x-y) = cosx cosy - sinx siny )

=  Cos (\(\frac{\pi }{2}-x\))cos(-y) - sin(\(\frac{\pi }{2}-x\))sin(-y)

By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)      

=  Cos (\(\frac{\pi }{2}-x\))cos(-y) - sin(\(\frac{\pi }{2}-x\))sin(-y)  

=  sin x cos y - cos x sin(-y)  

= sin x cos y + cos x sin y

Hence, the supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

To know more about trigonometric equation and Sin(a + b) Identity here:

https://brainly.com/question/11919000

#SPJ3

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

Learn more on GCF here: https://brainly.com/question/219464

#SPJ1

Factor out

So

Now factor up

Option B

The image of the point (1,-4) after a rotation of 270 counterclockwise about the origin will be (-1,-4).

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (1,-4) is in the fourth quadrant. After a rotation of 270 counterclockwise about the origin, then the coordinate will be in the third quadrant.  

Let the coordinate of (x, -y) be the fourth quadrant. Then the coordinate in the third quadrant will be (-y, -x)

Therefore, The image of the point (1,-4) after a rotation of 270 counterclockwise about the origin will be (-1,-4).

More about the transformation of a point link is given below.

brainly.com/question/27224339

#SPJ1

Answer:

88 are boys

Step-by-step explanation:

220 times 3/5 = 132

220-132 =88

The number of boys in the 7th grade is B = 88 boys

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as B

Now , the value of B is = number of boys

Substituting the values in the equation , we get

If three-fifths of the students are girls, then two-fifths must be boys, since the total fraction of students is equal to 1

On simplifying the equation , we get

To find the number of boys in the 7th grade, we can start by calculating the fraction of boys:

( 2/5 ) x 220 = 88

Hence , there are 88 boys in the 7th grade.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

For such more question on equations

https://brainly.com/question/22688504

#SPJ8

Step-by-step explanation:

perimeter of the given figure=24cm+24cm+30cm+20cm+20cm+20cm+5cm+5cm

=148cm

Answer:

148mm aka 1.48cm aka 1cm48mm

Step-by-step explanation:

to obtain the small thing between the"24mm" and"20mm":

(30mm-20mm)÷2

=5mm

so add up all those given information:

24mm+24mm+20mm+20mm+20mm+30mm+5mm+5mm

comment below if you still don't get it ;)

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

Read more about Slope at: https://brainly.com/question/3493733

#SPJ1

Answer:

\(-27\)

Step-by-step explanation:

\(5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27\)

Answer:

$6.90

Step-by-step explanation:

$6 * .15 = $0.90

$6 + $0.90= $6.90

Answer:

$6.90

Step-by-step explanation:

6 x 1.15 = 6.9

= $6.90

Greetings from Brasil...

According to the statement of the question:

Let's apply square root to both members

√X² = √20

X = √20

20 = 2² · 5   so   √20 = √2² · 5   =   2√5

X = √20 or X = 2√5 or X = 4.4721

Answer: Since IK and LN are parallel lines, then mIJM and mNMJ are supplementary, meaning that they add up to 180 degrees. Therefore, mIJM = 180° - mNMJ = 180° - 116° = 64°.

Step-by-step explanation: