Create a multiplication equation with a solution of 2/7

Answer:

Step-by-step explanation:

The area of a triangle is 1/2 of the base of the triangle multiplied by the height.

8.7/2 = 4.35

4.35 x 4.5 = 19.575

The answer is 19.575 ft²

Answer:

62

Step-by-step explanation:

t=digit in the tens place

u=digit in the units place

t=3*u

original number=t*10+u

number with reversed digits=u*10+t

u*10+t=t*10+u-36

u*10+(3*u)=(3*u)*10+u-36

10u+3u-30u-u=-36

-18u=-36

u=2

t=3*u=6

Original number = 62

Check the solution:

6=3*2 ok

26=62-36 ok

Answer:

I would say 3n-8=n+2

Step-by-step explanation:

First it says the difference of three times a number. N is serving as the unknown number so, so far we have 3n then 8 so 3n-8 and then put an = and then it says 2 more than the number so put the n + 2

your answer should be 3n-8=n+2

i also took the test  :)

hope this helps

The expression representing the given word sentence is 3n-8 = n+2

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, a statement the difference of three times a number and eight is two more than the number.

We need to convert it into a mathematical expression,

Therefore,

First it is saying, the difference of three times a number n, and 8

= 3n-8

Then, it says 2 more than the number so put the n + 2

Therefore,

3n-8 = n+2

Hence, the expression representing the given word sentence is 3n-8 = n+2

Learn more about expression, click;

https://brainly.com/question/14083225

#SPJ2

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

Answer:

4/15

Step-by-step explanation:

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

Learn more about Pythagoras theorem, by the following link

https://brainly.com/question/231802

#SPJ1

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

Know more about Cosine function here:

https://brainly.com/question/26993851

#SPJ11

Answer:

6chapters per hour

Step-by-step explanation:

Take 48 chapters divided by the no hrs which are 8

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

#SPJ2

The percentage of Leah's action figure collection she kept in her wall is 86%.

Percentage is a number or ratio that can be expressed as a fraction of 100.

To calculate the percentage of Leah's action figure collection she kept in her wall, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the percentage of Leah's action figure collection is 86%.

Learn more about percentage here: https://brainly.com/question/19247356

#SPJ1

◈ Area of square room :

\(:\implies\sf\:A_s=(side)^2\)

\(:\implies\sf\:A_s=(12)^2\)

\(:\implies\bf\:A_s=144\:m^2\)

◈ Area of triangular carpet :

\(:\implies\sf\:A_t=\dfrac{1}{2}\times base\times perpendicular\)

\(:\implies\sf\:A_t=\dfrac{1}{2}\times 10\times 8\)

\(\:\implies\sf\:A_t=\dfrac{1}{2}\times 80\)

\(:\implies\bf\:A_t=40\:m^2\)

◈ Uncovered area of room :

\(:\implies\sf\:\Delta A=A_s-A_t\)

\(:\implies\sf\:\Delta A=144-40\)

\(:\implies\:\boxed{\bf{\blue{\Delta A=104\:m^2}}}\)

Answer:

Step-by-step explanation:

<SRQ = 270 degrees

<RPQ is just 31 degrees short of that amount.

<RPQ = <SRQ - 31

<RPQ = 270 - 31

<RPQ = 239

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

Learn more about the area of a circle at brainly.com/question/12374325

#SPJ1

Answer: This can be written as x + (x-9) + 3(x-9) = 99

5x - 36 = 99

5x = 135

x = 135/5 = 27

You can now just plug in the value of x for each of the initial terms to get:

n1 = 27

n2 = 18

n3 = 54

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

\(f(-2)\) is the value of \(y=f(x)\) at \(x=-2\)

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

Suppose the bottle contains x units of medicine and y units is taken out and replaced with water. The expression to find the the amount of pure medicine solution after replacement by n times is given by

In the given question, v =30mg, x=40 mg.

n=1, since replacement is done only one time. We have to find y.

Substitute values in equation.

So, 10 mg/2.5 ml solution is poured out and replaced with water

8

x = 6

9

x=7

10

x= 15

see explanation in image

because you know that m and n are parralell you can use the vertical angle theorem as well as the fact that lines in a straight angle add to 180

if you have any questions just comment

Answer:

\(3r( t+ 4) = 3(2)(7 + 4) \\ = 6 \times 11 = 66\)

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

To know more about proportional relationship, visit:

https://brainly.com/question/29765554

#SPJ1

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

Read more on conversion factor here: brainly.com/question/28308386

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

TanA value is 22/3 and TanB is 3/2 from the given triangle ABC.

We have to find the values of Tan A and TanB.

We know that tan function is a ratio of opposite side and adjacent side.

To find TanA, we have to take opposite side of vertex A has opposite side.

TanA=18/27

TanA=2/3

Now let us find TanB , which is 27/18

TanB =3/2

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

To learn more about Parallel line visit:

https://brainly.com/question/17432060

#SPJ9

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

More can be learned about piecewise functions at https://brainly.com/question/30348444

#SPJ1

3x - 2 (2.3x + 2.5)  = -1.6x-5 are equivalent expressions while 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s)

Given: 3x - 2 (2.3x + 2.5) = -1.6x -5 and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3

For 3x - 2 (2.3x + 2.5):

First, clear the parenthesis by using -2 to multiply what's in the parenthesis. Then add/subtract like terms:    

3x - 2 (2.3x + 2.5) =  3x-4.6x- 5 = -1.6x-5          

For 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3:

First, clear the parenthesis by using -3 to multiply what's in the parenthesis. Then add/subtract like terms:  

5 - 3 (-1.6x - 2.1) = 5 + 4.8x + 6.3  = 4.8x + 11.3

Since 3x - 2 (2.3x + 2.5) is equal to  -1.6x-5 and  5 - 3 (-1.6x - 2.1) is not equal to 4.8x - 1.3.

Therefore, 3x - 2 (2.3x + 2.5)  = -1.6x-5 are equivalent expressions and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions

Learn more about equivalent expressions on:

brainly.com/question/29327447

#SPJ1

All vectors of the form(a, b, a - 2b) is a subspace of R³. So, the correct option is option(D).

If W is a set of one or more vectors from a vector space V, then W is a subspace of V if and only if

Now, check the options and find out the option which satisfy the subspace conditions.

A) All the vectors are of form (0, a,a²)

let (0,1,1) = u and v=(0,2,4) and both are belongs to { 0, a,a² : a∈R }, (0,0,0)∈ {0, a,a² : a∈R }.

u + v = (0,1,1) + (0,2,4) = (0,3, 5) not belongs to

{ 0, a,a² : a∈R }. So, this is not correct option.

B) Here, (0,0,0) does not belongs to

{0, a, a+2 : a∈R } because if a= 0 then a+2 =/ 0 .

So, it is also not subspace.

C) All vectors of the form (a, b, 2)

The third tuple is 2 which never be equal to zero. Hence, (0,0,0) does not belongs to (a, b, 2) and it is not form subspace.

D) All vectors of the form (a, b, a - 2b)

When a = 0 , b = 0 => (0,0,0) ∈(a, b, a - 2b)

let u = ( a1, b1 , a1- 2b1) and v = ( a₂, b₂ , a₂ - 2b₂)

and α∈R

u + v = ( a₁, b₁ , a₁- 2b₁ ) + ( a₂, b₂ , a₂ - 2b₂)

= ( a₁ +a₂ , b₁+b₂ , a₁+a₂ -2(b₁ - b₂)) €(a, b, a - 2b)

αu = α(a₁ , b₁ , a₁- 2b₁)

=( αa₁ , αb₁ , α(a₁ - 2b₁))∈(a, b, a - 2b)

both the conditions are satisfied, so it is Subspace of R³.

To learn more about Subspace, refer:

https://brainly.com/question/12944505

#SPJ4

The Quality loss function QLF incurred as a result of a deviation from a target setting is $17.5

QLF is acronym for quality loss function, this solved using the formula

= kv^2

where

k = constant

v = mean square deviation = 1/5

the constant k is solved by the formula

= c/T^2

where

c =  cost of item = 350

T = variation acceptable = 2

= 350 / 2^2

= 87.5

QLF = kv^2\

= 87.5 * 1/5

= 17.5

Learn more about QLF at:

https://brainly.com/question/29485958

#SPJ1

Answer:

Translation 2 units to the right

Vertical stretch by a factor of 3

Translation 1 unit up

Step-by-step explanation:

Correct on plato :}