3a. Draw a diagram to represent each of these situations. Then write an addition expression that represents the final temperature. The temperature was 19°F then fell 20°F. * Your answer​

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm

Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

Answer:

In 4  month's it's 12 ounces, so in 8 months, it's 24 ounces. That means that in 12 months, a year, the cat will be 36 ounces.

Answer:

36oz

Step-by-step explanation:

12oz every 4 months

24oz in 8 months

36oz in 12 months

12 months in 1 year so the kitten will weigh 36oz

Option 4

Verification:-

\(\\ \sf\longmapsto x-7y=-49\)

\(\\ \sf\longmapsto 7-7(8)=-49\)

\(\\ \sf\longmapsto 7-56=-49\)

\(\\ \sf\longmapsto -49=-49\)

And

\(\\ \sf\longmapsto 10x+9y=142\)

\(\\ \sf\longmapsto 10(7)+9(8)=142\)

\(\\ \sf\longmapsto 70+72=142\)

\(\\ \sf\longmapsto 142+142\)

Hence verified

Answer:

4.

Step-by-step explanation:

1. 8x - y = 48

9x + 10y = 142

8(7) - 8 = 48

9(7) + 10(8) = 143

No

2. 9x - y = 55

8x + 10y = 140

9(7) - 8 = 55

9(7) - 10(7) = -24

No

3. x-6y=-41

8x + 9y = 127

7 - 6(8) = -41

8(7) + 9(8) = 128

No

4. x-7y=-49

10x + 9y = 142

7 - 7(8) = 49

10(7) + 9(8) = 142

Yes

The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

11(x+3) is correct answer. Please Mark it as brainlist answer.

Step-by-step explanation:

let's say the unknown number be x

Simplify it:

11(x+3)

Answer: The unit rate is

116 ​calorie(s) per cup

and

There are 464 calories in 4 cups of the cereal

Answer:

Most Likely A, 5.5 Miles

Step-by-step explanation:

However the question doesn't make sense as the logical answer is simply 5 miles, but the safest choice is 5.5

The volume of the cone is 12π or 37.70 cm²

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the volume of the cone be represented as V

Now , the equation will be

Let the length of the cone be S = 5 cm

Let the height of the cone be = H

Let the radius of the cone be R = 3 cm

From the Pythagoras theorem , S² = H² + R²

So, substituting the values in the equation , we get

Height of the cone H = √5² - 3²

Height of the cone H = √25 - 9

Height of the cone H = √16

Height of the cone H = 4 cm

Now , the volume of the cone = ( 1/3 ) πR²H

Substituting the values in the equation , we get

Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4

On simplifying the equation , we get

Volume of the cone V = 3 x 4 x π

Volume of the cone V = 12 π

Volume of the cone V = 37.70 cm²

Therefore , the value of V is 37.70 cm²

Hence , the volume of cone is 12π or 37.70 cm²

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The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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Answer:

Step-by-step explanation:

First: split the figure into 2:

Then, solve the first:

Next, solve the second part:

Finally, multiply both parts:

Answer is 1800.

Reason:

We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,

2x+10 = 0

2x = -10

x = -10/2

x = -5

Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.

Answer:

 B. 8.56

Explanation:

Given:

So using cosine rule:

\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)

\(\rightarrow \sf cos(50) = \dfrac{5.5}{x}\)

\(\rightarrow \sf x= \dfrac{5.5}{cos(50) }\)

\(\rightarrow \sf x= 8.56\)

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units

From the question, we have the following parameters that can be used in our computation:

2 x 18 + 2 x 15 = 66

The perimeter of a rectangle can be calculated using

Perimeter = 2 x Length + 2 x Width

Using the above as a guide, we have the following:

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Step-by-step explanation:

51x + 23y = 116 ……….. (i)

23x + 51y = 106 ………… (ii)

Subtracting (ii) from (i)

28x – 28y = 10

28(x – y) = 10

⇒ (x – y) = 10/28 = 5/14

The solution of the expression x- y is 5/14.

Given Equation:

Equation 1: 51x + 23y = 116

Equation 2: 23x + 51y = 106

Now, multiply 23 in equation 1 and 51 in equation 2 gives

Equation 3: 1173x + 529y = 2,668

Equation 4: 1173x + 2601 y = 5406

Solving the Equation 1 and (3) gives

2601y - 529y = 5406 - 2668

2072y= 2738

y = 37/28.

Substituting the value of y= 37/28 in Equation 1 gives

51x + 23(37/28)= 116

51 x= 2397/28

x= 47/28

So, the value of x-y

= 47/28 - 37/28

= 10/28

= 5/14

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Answer:

Step-by-step explanation:

Volume of prism:

The base is a right triangle, its area is:

The volume is:

Correct choice is A

Answer:

The measure of side FG is 3.

Step-by-step explanation:

Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.

From the given question,

scale factor = 5

measure of side F'G' = 15

Thus,

scale factor = \(\frac{measure of side F'G'}{measure of side FG}\)

side F'G' = scale factor x side FG

⇒ 15 = 5 x side FG

So that,

side FG = \(\frac{15}{5}\)

             = 3

The measure of side FG is 3.

Answer:902

Step-by-step explanation:

41×22=902

Answer:

c) 18/25

Step-by-step explanation:

The total of all votes is 1000.

The total of all 'agree' votes is 420.

Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.

From there we simplify 720 / 1000 -> 18 / 25

Answer:

36

Step-by-step explanation:

81 x (4/9) =

36

The quadratic regression function which models the data in the form ax² + bx + c is written thus ;f(x) = -147.30x² + 3231.00x - 8213.66.

A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.

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

Left side equals right side in all formulas.

To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.

A statement is not an equation if it lacks the equals sign.

When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.

According to our question-

A polynomial of degree two, the quadratic regression function. where y is the entire profit made, and x is the selling price of the widget.

f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66

f(10.25) = 9428.38

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Answer:

La próxima pastilla roja será a las 12:00 a.m.

La próxima pastilla amarilla será a las 8:00 p.m.

La próxima pastilla blanca será a las 7:00 p.m.

Answer:

About 159 weigh more than 165 g and about 159 g weigh less Than 135 g

Step-by-step explanation:

Given that :

Mean, μ = 150

Standard deviation, σ = 15

Using the Zscore formula :

Zscore = (x - μ) / σ

For x > 165

P(x > 165)

Z = (165 - 150) / 15

Z = 15 /15 = 1

P(Z > 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

For x < 135

P(x < 135)

Z = (135 - 150) / 15

Z = - 15 /15 = - 1

P(Z > - 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

Answer:

160 and 160

Step-by-step explanation:

each section is 16% of the whole.

Answer:

Step-by-step explanation:

=−10.44−4.2−(−6.85)

=−14.64−(−6.85)

=−7.79

Answer:

-7.79

Step-by-step explanation:

Given problem,

→ -16.26 - (-5.82) - (4.20) - (-6.85)

Let's simplify the problem,

→ -16.26 - (-5.82) - (4.20) - (-6.85)

→ -16.26 + 5.82 - 4.20 + 6.85

→ -10.44 + 2.65 = -7.79

Hence, the answer is -7.79.

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Given Data

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

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Answer:

Well the volume is 1570.8 cubed. but i don't know what it would be in your range of answers.

Step-by-step explanation:

Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Answer:

Below

Step-by-step explanation:

Area = 1/2 base * h        and base + h = 20   ( then  base = 20-h)

Area = 1/2 (20-h) *h  

             -1/2 h^2 + 10h     <=== you could graph this to see the maximum or:

     max occurs at     (for a quadratic)  h =   -b/2a =  -10/(2 *-1/2) = 10

              then base = 20 -10 = 10   also

base = 10    height = 10