Mrs. Lia has 11 pounds of modeling clay. She divides the clay into 1 2 - pound blocks. If Mrs. Lia sets aside 7 of the blocks and gives the rest to the students in her art class, how many 1 2 - pound blocks of clay does Mrs. Lia give to her class?

exact form:

w= 74/45

decimal form:

w= 1.64

mixed number:

w= 1 29/45

brainliest would be appreciated :)

Answer:

w=74/45

Step-by-step explanation:

(w-4/9)(-2/3)=-4/5

-2/3w+8/27=-4/5

-2/3w=-4/5-8/27

-2/3w=-108/135-40/135

-2/3w=-148/135

w=(-148/135)/(-2/3)

w=-148/135*-3/2,

w=74/45

Answer:

Length: 12 meters

Step-by-step explanation:

Step 1:

Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.

We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.

Step 2:

We can now write our equation and solve for x :

[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]

We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.

I hope this helps! Let me know if you have any questions :)

Answer:

From the given information, there are two equations in terms of x and y:

2x + 2y = 24 (perimeter of the rectangular plot)

         x = 3y (relationship between length and width)

The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:

2(3y) + 2y = 24

              y = 3

Substitute y in the second equation to find x:

x = 3(3)

x = 9

The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.

Step-by-step explanation:

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Answer:

y = 2x + 10

Step-by-step explanation:

Equation of the line is;

y = −(x/2) + (4/5)

Slope here is m = -½ following the equation y = mx + c

Now, for a line perpendicular to it, the slope will now be; m = -1/(-½) = 2

To pass through the point ( − 2, 6 ), let's find C and it will be;

6 = 2(-2) + c

6 = -4 + c

c = 6 + 4

c = 10

Thus equation is;

y = 2x + 10

Answer:

A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity

Step-by-step explanation:

SSS:

ST/SU = SW/SV = WT/VU

60/70 = 48/56 = 30/35

6/7 = 6/7 = 6/7

SAS:

ST/SU = SW/SV = 6/7 (look at SSS proving)

Angle S = Angle S because they are reflexive or the same angles

Answer: I think so since it’s a decimal

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Triangle A suggests that the triangle is isosceles.

Isosceles:

Triangle with two congruent angles and sides:

7 , 6 , 7

5 , 4 , 5

9, 12 , 9

Triangle B suggests that the triangle is scalene.

Scalene:

Triangle with no congruent angles or sides:

5 , 6 , 7

10 , 15 , 7

12 , 18 , 21

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: n = 2

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

21 = 3 + 4n + 5n

21 = 3 + 9n

9n = 18

n = 2

;)

Answer:

y = 1/4

Step-by-step explanation:

76y = 19.

Get rid of the 76 by dividing 76 from both sides.

76y/76 = 19/76

19/76 simplified is 1/4.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{76y = 19}[/tex]

[tex]\textbf{DIVIDE 76 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{76y}{76} = \dfrac{19}{76}}[/tex]

[tex]\textbf{SIMPLIFY it}[/tex]

[tex]\mathsf{y = \dfrac{19}{76}}[/tex]

[tex]\mathsf{y = \dfrac{19\div19}{76\div19}}[/tex]

[tex]\mathsf{y = \dfrac{1}{4}}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{y = \dfrac{1}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

N = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

N + 9 = 27

Step 2: Solve for N

Answer:

x = 0

Step-by-step explanation:

All of them.

When presented with the same terms on each side of an equal sign, the solution is All Real Numbers

Answer:

1 to 25 students require (at least) 2 chaperones. ... 51 to 75 students require (at least) 6 chaperones.

PLEASE MAKE ME BRAINLIEST ANSWER

Step-by-step explanation:

Answer:

What is the slope of the line that represents the turtle's path?

=0.8

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?

h=0

k=20

a= -0.12

Which system of equations could you use to determine where the paths intersect?

=B) y = 0.8x and y = -0.12x2 + 20

Step-by-step explanation:

your welcome <3

Based on the graph, the values of the constants in the vertex form of the quadratic equation are:

Generally, the vertex form of a quadratic equation can be used to model or write an equation of the function of a graph.

Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.

Note: The sign on "a" indicates whether the quadratic equation opens up or opens down.

Based on the complete information, we can deduce that the values of the constants in the vertex form of the quadratic equation are:

Read more on vertex here: brainly.com/question/525947

Answer:

-1

Step-by-step explanation:

1+4.5x+4.9x=-8.4

4.5x+4.9x=-8.4-1

9.4x=-9.4

x=-9.4/9.4

x=-1

Answer:

x = 0.78723404

Step-by-step explanation:

divide each number by the numbers that don't contain x

Answer:

x= 31

Step-by-step explanation:

D & F

Step-by-step explanation:

D scale because all sides are different lengths

F obtuse because one angle is greater than 90 degrees

Look up definition of the other properties and you will see they don't apply

The given triangle is a obtuse and scalene triangle

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle is an obtuse triangle and scalene triangle.

A triangle whose any one of the angles is an obtuse angle or more than 90° is known as obtuse triangle.

A triangle in which all the three sides have different lengths then it is called as scalene triangle.

Hence, the given triangle is a obtuse and scalene triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

Answer:

A. 360 degrees

B. 360 degrees all the way around but each individual one is 90 degress

Step-by-step explanation:

Answer:

Step-by-step explanation:

B: the kite's diagonals intersect each other at a 90o degree angle.

A: It should come to 360. Let's if that happens.

Take the top angle (88) first. Notice that if you draw in both diagonals,  the will form Isosceles triangles. Let's deal with the shorter diagonal first.

The two angles at the base of the shorter diagonal are equal. That's because the sides opposite them are equal.

2x +88 = 180       Subtract 88 from both sides.

2x  = 92               Divide by 2

x = 46

Now lets look at the long narrow legs of the bottom isosceles triangle.

2x + 50 = 180      Subtract 50 from both sides

2x = 130               divide by 2

x = 130 /2

x = 65

Now add up all the angles that make up the interior of the kite.

Total = 46 + 46 + 65 + 65 + 50 + 88

Total = 360 just as it should.

Answer:

3RD

Step-by-step explanation:

Answer:

x = 61.6 degree

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 4.8 / 5.4

sin x = 0.88

x = [tex]sin^{-1} (0.88)[/tex]

x = 61.64

x = 61.6 degree

Answer:

7 1/3

Step-by-step explanation:

Part A

Use the FOIL rule to expand out the expression below

(2x+7)(5x+9)

2x*5x + 2x*9 + 7*5x + 7*9

10x^2 + 18x + 35x + 63

10x^2 + 53x + 63  is the final answer for part A

==========================================================

Part B

The degree is 2. This is a quadratic trinomial.

The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.

==========================================================

Part C

Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.

In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.

For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).

Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.

[tex]\rm 10x^{2} + 53x + 63[/tex] is the expression that represents the area of the rectangle. This is a trinomial expression.

A quadratic equation is the polynomial of second degree in one variable only. The standard form of a quadratic equation is [tex]\rm ax^{2} +bx+c=0[/tex]

Where, x is the variable and a,b, and c are real numbers.

Part A

Let length of a rectangle = (2x+7)

Let width of a rectangle = (5x+9)

The area of the rectangle = length × width

=   (2x+7)(5x+9)

= 2x × 5x + 2x × 9 + 7 × 5x + 7 × 9

= [tex]\rm 10x^{2} + 18x + 35x + 63[/tex]

Therefore, [tex]\rm 10x^{2} + 53x + 63[/tex] is the expression that represents the area of the rectangle.

Part B

The degree is 2 in the expression. This is a trinomial expression.

The degree is simply the largest exponent. The degree directly represents the type of polynomial. Since the degree is 2. The polynomial is a trinomial because it has 3 terms.

Part C

Applying multiplication operations such that taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this multiplication because (2x+7), (5x+9) and [tex]\rm 10x^{2} + 53x + 63[/tex] are all polynomials.

Learn more about quadratic equations;

https://brainly.com/question/2263981

9514 1404 393

Answer:

  a) (x +2)(x +3)

  b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

  6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

  x² +5x +6 = (x +2)(x +3)

__

b) The solutions to the equation are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x +3) = 0   ⇒   x = -3

Answer:

Step-by-step explanation:

The domain indicates all the x values which are {2, 6, 9} in order from least to greatest. As long as none of these numbers is the same, then our relation is also a function. Choice A. is the one you want.

The distance between two points:

[tex] \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }[/tex]

From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:

[tex] \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } [/tex]

Hence the distance between two points is √89.

Answer

Answer:

The answer would be $26.00

Step-by-step explanation:

Taking into consideration that Daniel has 2 books and is paying $46.00 with the discounted prices, we can say that if there was no discount, the full price would be $52, since there's 2 books, it would be 3•2= 6 and $49 + 6 = $52. Now knowing the original pricing for two books, we can now divide the number by 2 and get $26.00.

Answer:

6 and 3

Step-by-step explanation:

6 · 3 = 18

6 + 3 = 9