The length of a rectangle is 97 meters and the width is 14 meters. Find the area. Give your answer without units.
Provide your answer below:

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

44

Step-by-step explanation:

11/4 gallons = 2.75 gallons there are 16 cups in a gallon that men's there's 32 cups for 2 gallons and 12 cups for .75 gallons 32+12=44 cups

The solution to the inequality is 1/3 ≤ x < 7

For the first inequality:

2x + 1 ≤ 5x

Solving for x:

2x + 1 - 5x ≤ 0

-3x + 1 ≤ 0

-3x ≤ -1

x ≥ 1/3

For the second inequality:

3x + 5 > 4x - 2

Solving for x:

3x + 5 - 4x + 2 > 0

-x + 7 > 0

x < 7

The set of all real numbers that satisfy both inequalities is:

1/3 ≤ x < 7

Graphically, this is represented on the number line

|----|---|---|---|---|---|---|---|---|---|

1/3                                        7

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to find the x intercepts make f(x)=0

since this is a product both of the factors involving x should be equal to 0

the x-intercepts of the function are

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

12

Step-by-step explanation:

No of tulips = 60

No of daffodils = 72

We need to find the greatest number of bouquets the florist can make if the florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.

It would mean that we need to find the HCF of 60 and 72

Prime factorisation of 60 = 2×2×3×5

Prime factorization of 72 =  2 x 2 x 2 x 3 x 3

Highest common factor or HCF = 2×2×3 = 12

So, the florist can make 12 bouquets as maximum number.

Step-by-step explanation:

a + b = 16

a = 16 - b

45a + 30b = 585 | divide both sides by 15

3a + 2b = 39

now we are using the first in the second equation :

3(16 - b) + 2b = 39

48 - 3b + 2b = 39

48 - b = 39

48 = 39 + b

9 = b

he sold 9 pairs of type b socks.

FYI :

a = 16 - b = 16 - 9 = 7

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

Step-by-step explanation:

1 no is commutative property.

2 no is associative property

3 no is multiplicative inverse property.

a. Let \(d\) be the number of daytime calls Eshwa makes, and \(e\) the number of evening calls. Then the cost \(C\) (in pence) of making \(d+e\) calls is

\(C = \boxed{50d + 40e}\)

b. £1 = 100p, so the cost \(C'\) (in £) is 1/100 of the cost found in part (a),

\(C' = \dfrac{50d + 40e}{100} = \boxed{\dfrac d2 + \dfrac{2e}5}\)

c. If Eshwa makes 30 of each type of call in a month, then the total cost (in £) is

\(C' = \dfrac{30}2 + \dfrac{2\cdot30}5 = \boxed{27}\)

c2. If Eshwa makes 20 daytime calls and 50 evening calls, then the total cost (in £) is

\(C' = \dfrac{20}2 + \dfrac{2\cdot50}5 = \boxed{30}\)

d. Let \(e=40\) and \(C'=42\). Solve for \(d\).

\(42 = \dfrac d2 + \dfrac{2\cdot40}5\)

\(42 = \dfrac d2 + 16\)

\(\dfrac d2 = 26\)

\(d = \boxed{52}\)

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Answer:

Step-by-step explanation:

(0, -1) (3,3)

(3 + 1)/(3 - 0) = 4/3

y + 1 = 4/3(x - 0)

y + 1 = 4/3x - 0

y = 4/3x - 1

answer is A

Answer:

€~42X so 28 +21=4x+4 which means x{¥}=5

Answer: 17.3 in 2

Step-by-step explanation

The approximate area of the shaded sector is 34.6 in2.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\(\text{Area of composite figure} = \sum (\text{Area of composing figures})\)

That ∑ sign shows "sum"

We are given that;

Angle = 145°

Now,

The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.

Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.

Therefore, by the area the answer will be 34.6 in2.

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer: 360

Step-by-step explanation:

Well if you take 640miles and divide it by 16 gallons you get 40mpg so if you get 40mpg times that by 9 and you get 360miles

Answer:

Step 3

Step-by-step explanation:

Step 3 should be:

−6m + 6m = −48 − 12n + 4n + 4

9514 1404 393

Answer:

  Step 3

Step-by-step explanation:

When the equations are added in step 3, the result should be ...

  -6m +6m = -48 -12n +4 +4n

In the work shown, the (+4) was left out in Step 3.

__

When the work is properly continued, it becomes ...

  Step 4:  0 = -44 -8n . . . . [step 3 is simplified]

  Step 5: n = -5.5 . . . . . . .  [step 4 is divided by -8 and 5.5 subtracted]

  Step 6: m = -3 . . . . . . . . . [n is substituted into Equation 1]

And the solution is (m, n) = (-3, -5.5).

Answer:

\(g'(y)=3y^2-4y-8\)

Step-by-step explanation:

start by foiling out the given function

\(g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y\)

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

\(g'(y)=3y^2-4y-8\)

Answer:

its c or a

Step-by-step explanation:

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

Answer:

80 inches

Step-by-step explanation:

12 x 7=34

23 x 2=46

34+46=80 inches

The toast will land with buttered side 50% of the time.

First,

H₀:p=0.5, H₁: p₀ ≠0.5

P(butttered side down)= 19/51

π₀= 0.5

n= 51

Now, z = (p- π₀)/ √π₀(1-π₀)/n

z= (19/51 -0.5)/√0.5(1-0.5)/51

z= -1.82

as, α= 0.01 and \(z_{\alpha/2\)=  2.58

So, |z| < | \(z_{\alpha/2\)|

Thus, it reject H₀.

Thus, the toast will land with buttered side 50% of the time.

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Answer:The answer is: D y=5x²-5x-30

Step-by-step explanation:

The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

Explaination:

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 >> Y = 24

75

STEP 2 >>

24 × 100 = 32

75 × 100 100

STEP 3>> Y = 32%

Finally, we have found the value of Y which is 32 and that is our answer.

You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.

Answer:

32

Step-by-step explanation:

(75/100) × X = 24

75X = 2400

75X/75 = 2400/75

X = 32

32% of 75 gives you 24

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Answer:

A - The first one

Step-by-step explanation:

Answer:

The first line.

Step-by-step explanation:

The line starts off at 0,

then it goes to the left of the line -3 times.

Then it goes to the left -1.5 times.

this means it goes one and a half.

so it would land on the line after -4.