What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?

(Hint: it is the same number. Input only one number in the blank.)

will give (brainlist)

The cost per kilogram of cheese is found by dividing the cost per pound by the conversion factor 0.45359237 kilograms per pound. The result is $9.68 per kilogram.

Start with the given cost of cheese per pound: $4.40.

To convert from pounds to kilograms, we need to divide by the conversion factor 2.2 (since 1 kilogram is approximately equal to 2.2 pounds). So, we have

1 pound / 2.2 = 0.45359237 kilograms / 1 pound

Note that we can write this as a conversion factor with the pound unit cancelling out, leaving us with kilograms as the desired unit.

Now, we can multiply the cost per pound by the conversion factor to get the cost per kilogram

Cost per kilogram = Cost per pound * (1 pound / 0.45359237 kilograms)

            = $4.40 * (1 / 0.45359237)            

Evaluating this expression using a calculator gives us

Cost per kilogram = $9.68

So the cost of cheese per kilogram is approximately $9.68.

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Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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The algebraic rule for the transformation is B' = (Bx + 15, By - 12)

Given data ,

To determine the algebraic rule for the transformation from point B to point B', we need to find the equations that relate the coordinates of the preimage point B to the image point B'.

Let's denote the translation amounts in the x-direction and y-direction as (dx, dy). The coordinates of B' can be obtained by adding these translation amounts to the coordinates of B:

B' = (Bx + dx, By + dy)

Given that B is located at (5, -4) and B' is located at (20, -16), we can calculate the translation amounts:

dx = 20 - 5 = 15

dy = -16 - (-4) = -12

Hence , the algebraic rule for the transformation is B' = (Bx + 15, By - 12)

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Answer:

0.828

hope it helps........

Answer:

-29/35

Step-by-step explanation:

i hope this helps

Given the set of equations:

y - 3x = 5

2x - y = -2

Let's graph the set of equations.

Rewrite the equations in slope intercept form:

y = mx + b

Where m is the slope and b is the y-intercept

Let's rewrite both equations for y.

Equation 1:

y - 3x = 5

Add 3x to both sides of the equation:

y - 3x + 3x = 3x + 5

y = 3x + 5

Equation 2:

2x - y = -2

Subtract 2x from both sides:

2x - 2x - y = -2x - 2

-y = -2x - 2

Divide all terms by -1:

Thus, we have both equations in slope intercept form:

y = 3x + 5

y = 2x + 2

To graph, let's mark two points each from each equation.

y = 3x + 5

When x = 1

y = 3(1) + 5 = 3 + 5 = 8

When x = -1

y = 3(-1) + 5 = -3 + 5 = 2

Mark the points on the graph and connect using a straight line:

(x, y) ==> (1, 8) and (-1, 2)

• y = 2x + 2

When x = 1

y = 2(1) + 2 = 2 + 2 = 4

When x = -1

y = 2(-1) + 2 = -2 + 2 = 0

Mark the points on the graph and connect using a straight line:

(x, y) ==> (1, 4) and (-1, 0)

Thus, we have the graph below:

From the graph, we can see the point where both lines meet is at (-3, -4).

This means the solution to the set of equations is: (-3, -4)

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

1. n = 4

2. n = -29

3. n = -28

4. n = -48

5. n = -22

6. n = 97

7. n = 220

8. n = -18

9. n = 36

Step-by-step explanation:

1. -n = -4

Multiply both by -1 to get n = 4

2. 12 + n = -17

Subtract 12 from both sides of the equation to get n = -29

3. -n/14 = 2

Multiply by 14 on both sides of the equation to get -n = 28

Multiply -1 on both sides of the equation to get n = -28

4. -42 = n + 6

Subtract 6 from both sides of the equation to get -48 = n or n = -48

5. -4n = 88

Divide -4 on both sides of the equation to get n = -22

6. n + -3 = 94

Add 3 to both sides of the equation to get n = 97

7. 11 = -n/-20

Multiply by -20 on both sides of the equation to get -220 = -n or -n = -220

Multiply -1 on both sides of the equation to get n = 220

8. -108 = 6n

Divide by 6 on both sides of the equation to get -18 = n or n = -28

9. 67 = 31 + n

Subtract 31 from both sides of the equation to get 36 = n or n = 36

I Hope That This Helps! :)

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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Answer:

Step-by-step explanation:

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Answer:

undefined

Step-by-step explanation:

To find the slope of the line passing through the points (4, 7) and (4, -6), we can use the slope formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates of the points (4, 7) and (4, -6) into the formula:

m = (-6 - 7) / (4 - 4)

m = (-13) / (0)

The denominator is zero, which means the line is vertical and parallel to the y-axis. When the denominator is zero, the slope is undefined.

Therefore, the line passing through the points (4, 7) and (4, -6) has an undefined slope.

If the scooter travels 4.4km with the given radius, the wheel have number of revolutions about 1567 times.

In order to solve this issue, we must first determine the scooter wheel's circumference, which is given by the formula C = 2\(\pi\)r, where r is radius of the wheel. Hence, the circumference of a wheel with a 14 cm radius would be:

C = 2\(\pi\)(14cm) = 28\(\pi\) cm

We must translate the distance from kilometres to centimetres in order to determine how many revolutions the wheel completes if the scooter travels 4.4 kilometres. 1 km equals 100,000 cm, so 4.4 km is equal to 440,000 cm.

Now, we can calculate the number of rotations by dividing the distance travelled by the wheel's circumference:

Distance travelled divided by circumference equals the number of revolutions.

440,000 cm / 28 cm divided by the number of revolutions

1566.99 revolutions were made.

Therefore if the scooter travels 4.4km, the wheel will turn about 1567 times.

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Answer:

4 + ( -7 X 2 ) = -10

Step-by-step explanation:

Check work:

-7 times 2 is -14.

4 + -14 = -10

Answer: $5,150

Step-by-step explanation:

5000x0.03=150+5000=5,150

Answer:

12 and -10

Step-by-step explanation:

a coefficient is a number multiplied by a variable

Answer:

To investigate the different sizes of ponds and their effects on the garden, I followed these steps:

1. I drew several sizes of ponds on a grid paper, using the given dimensions of 18 ft2, 24 ft2, and 30 ft2. I made sure that the length and width of each pond were whole numbers. I also drew borders around the ponds to represent the tiles needed for each pond. Here is an example of how I drew a 24 ft2 pond:

| | | | | | | | | | |

| | | | | | | | | | |

|X|X|X|X|X|X|X|X|X|X|

|X|O|O|O|O|O|O|O|O|X|

|X|O|O|O|O|O|O|O|O|X|

|X|O|O|O|O|O|O|O|O|X|

|X|X|X|X|X|X|X|X|X|X|

In this drawing, X represents a tile and O represents water.

2. I recorded the number of tiles needed for each pond in a table, as well as the length and width of each pond. Here is the table I made:

Pond size (ft2) Length (ft) Width (ft) Number of tiles

18 6 3 22

24 6 4 28

30 6 5 34

3. I looked for patterns in the table and noticed that the number of tiles increased by 6 for every increase of 1 ft in width. I also noticed that the number of tiles was always equal to twice the length plus twice the width minus four.

4. I came up with a numerical expression that relates the length and width to the number of tiles needed. The expression is:

Number of tiles = 2 x Length + 2 x Width - 4

This expression works for any pond size with whole number dimensions.

By following these steps, I was able to compare different pond sizes and their tile requirements. I hope this helps you decide on the best size for your pond and garden.

________________________________________________________

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Answer:

5.  -(6/5)

6. 1/5

7. I think 4/25 but i am not full sure

8. 2

9. -(5/8)

Step-by-step explanation:

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

7.6

Step-by-step explanation:

Divide 38 by 5 to get your answer

Answer:

11y is the exact value.

Step-by-step explanation:

Answer:d

Step-by-step explanation:they have a different number than the others

Answer:

There are many combinations: Coins= 3 combinations Dice= 36 combinations

In total = 39

Step-by-step explanation:

Coins -                             Dice -

Heads - Heads               (1,1), (1,2), (1,3) ect.  

Tails - Tails                

Heads - Tails

Hope this helped :)

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

Line A is x = -3

Line B is y = 2.5

Step-by-step explanation:

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer: 81.25

Step-by-step explanation:

Answer:

Armando lost 65 coins each level.

Step-by-step explanation:

Given information,

→ Armando lost 975 coins playing his favorite video game.

→ He lost the same number of coins in each of the 15 levels he played.

Forming the equation,

→ 15x = 975

Now required value of x will be,

→ 15x = 975

→ x = 975/15

→ [ x = 65 ]

Hence, he lost 65 coins each level.

Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!