Select ALL expressions that are equivalent to 8w + (w + 4) + 5w
a. 6w + (9w)
b. 8w + 6w + 5w
c. 9w + 4 + 5w
d. 13w + (w + 4)
e. 18w​

Example: 3/4 x 7

3          7

     x

4          1

You multiply 3 and 7 to get 21.

Then multiply 4 and 1 to get 4.

Now you have 21/4.

Finally, you simplify.

5 1/4

hope it helps! :3

The error in the steps is that In step 1, she should have also distributed -3/8  over –16d, to get 3 + 6 d + 2 d = 24

Given the following equation as shown below

-3/8(-8-16d)+2d = 24

Step 1 Distribute -3/8 over the expression in parentheses

3 + 6d + 2d = 24

Simply the like terms

3 + 8d = 24

Subtract 3 from both sides of the equation.

8d = 24 - 3

8d = 21

d = 21/8

Hence the error in the steps is that In step 1, she should have also distributed -3/8  over –16d, to get 3 + 6 d + 2 d = 24

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Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

Answer:

it will be i think 17/100

Step-by-step explanation:

Answer:

100 cm²

Step-by-step explanation:

Given that :

Length of prism = 20 cm

Height, h = 5cm

Width, w = 4 cm

The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)

Area of rectangle = Length * height

Area = 20 * 5 = 100 cm²

The area enclosed in first question is 437 square units. For second The absolute maximum value is 129, and the absolute minimum value is -172.

1) To find the area enclosed by the given curves, we need to compute the definite integral of the upper curve (y = 3x² - 28) minus the lower curve (y = 4x + 11) with respect to x over the interval [-2, 3]. The integral will yield the area enclosed by the curves.

2) To find the absolute maximum and minimum values of f(x) = x² + 8x³ - 80x² on the interval [-4, 3], we need to evaluate the function at critical points and endpoints within the given interval. We calculate the derivative of f(x) and find its critical points. Then we evaluate f(x) at these points as well as at the endpoints of the interval. The highest value among these points will be the absolute maximum, and the lowest value will be the absolute minimum.

3) To find f(x) given f'(x) = 10x - 12x³ + 8\(e^{(-4x)\) + 7 and f(0) = -9, we integrate f'(x) with respect to x to obtain the antiderivative of f'(x). The constant of integration will be determined by the initial condition f(0) = -9.

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The given problem can be represented with the help of Venn diagrams. Since 5 of the total 32 students neither swim nor play softball, there are 27 students who either swim or play softball or do both.

Here is the diagram for the given data:We can represent the values for each category as:A = Number of students who swim onlyB = Number of students who play softball onlyC = Number of students who swim and play softball bothD = Number of students who do neitherSwim | Play Softball | TotalNumber of Students (A) | |Number of Students (C) | |Number of Students (B) | |Number of Students (D) | |Total | |We have been given that 22 students swim and 20 students play softball. Let us start filling up the table using the given data:Swim | Play Softball | TotalNumber of Students (A) | |Number of Students (C) | |Number of Students (B) | |Number of Students (D) | 5Total | |27So, we can say that the values that complete the table are:A = 12B = 10C = ?D = 5C can be found out using the fact that the total number of students who either swim or play softball is 27.A + B + C = 27Substituting the values of A and B, we get12 + 10 + C = 27C = 5 + 27 - 12 - 10C = 10Therefore, the complete table is:Swim | Play Softball | TotalNumber of Students (A) | 12 |Number of Students (C) | 10 |Number of Students (B) | 10 |Number of Students (D) | 5Total | 32 |In total, there are 12 students who swim only, 10 students who play softball only, 10 students who do both, and 5 students who do neither.

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As per definition of the natural numbers,

       Example → {1, 2, 3, 4.......∞}

       Smallest natural number → 1

       0 is not a natural number.

In the given set of numbers .

These numbers will be the natural numbers (without fraction).

Since, the smallest natural number is 1,

Therefore, the least value of n/8 will be 1.

n/8 = 1

n = 8

Therefore, the given set of numbers will be the set of natural numbers {40; 1; 233}  if n = 8.

Answer:

12t - 1

Step-by-step explanation:

(9t+5) + (3t-6)

9t + 5 + 3t - 6

12t - 1

Answer:

Step-by-step explanation:

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

Now, we can combine like terms: = 10x^2 + 3xy + 6x - y^2 + 3y

So, the product of (2x + y) and (5x - y + 3) is 10x^2 + 3xy + 6x - y^2 + 3y.

Without additional information, we cannot determine the missing value in the geometric sequence 1250. We need at least three consecutive terms or the common ratio to find the missing term.

To find the possible value for the missing term of the geometric sequence 1250, we need to be given at least three consecutive terms of the sequence. Without additional information, we cannot determine the missing value. Hence, we need more information.Let the terms of the sequence be a, ar, ar², ar³, ... where a is the first term and r is the common ratio. Therefore, we have that:ar = 1250.Dividing both sides by a, we have:r = 1250 / a.Now, the possible value for the missing term of the geometric sequence can be found if we know the values of a and r. However, since we do not have enough information, we cannot determine the missing value.Therefore, there is no possible value for the missing term of the geometric sequence 1250 with the given information. We need to be given more terms of the sequence to determine the missing value.

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Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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Answer:

8x + 60

Step-by-step explanation:

4(x + 5) + 2(x - 10) + 2(x + 30)

= 4x + 20 + 2x - 20 + 2x + 60 (combine like terms)

= 8x + 60

Answer:

that is the answer

Step-by-step explanation:

I get that with a app

The agent sold the vegetables for Rs. 110000

What is Selling price?

The selling price is the amount paid by a buyer for a product or service.

Let P be the price of the vegetables that the agent sold.

We know that the agent's commission is 2% of the selling price, so the commission can be represented by the equation:

Commission = (2/100) * P = 2% * P = 0.02 * P

We also know that the commission is Rs 2,200, so we can set up the equation:

0.02 * P = 2200

To find the price of the vegetables, we can solve for P by dividing both sides of the equation by 0.02:

P = 2200 / 0.02

  = 2200 / 0.02 * 100/100

  = 2200 * 100/2

P = 110000

So, The agent sold the vegetables for Rs. 110000

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Answer:

-26/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(16-(-10))/(-2-3)

m=(16+10)/-5

m=26/-5

m=-26/5

One way of estimating this product is rounding each number to the nearest tenth first:

Then, the product of 32.8 and 1 is equal to 32.8, because every number multiplied by 1 is equal to itself.

Also, since the number 0.99804 is very close to 1, we can just keep the second value of the product, so the estimated result would be 32.785.

The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

Given that equation  \(\frac{16x+12}{2}=100\)  and asked to evaluate the value of x in the given equation

⇒ \(\frac{16x+12}{2}=100\)(given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=\(\frac{94}{8}\)(using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

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The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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The values of x that make f(x) = 0 are 1 + √6 and 1 - √6.

To find the values of x where f(x) = 0, we need to solve the equation 2x² - 6x + 8 - 2|x - 9| = 0.

We can begin by separating the cases for when x - 9 is positive and negative.

When x - 9 is positive:

2x² - 6x + 8 - 2(x - 9) = 0

2x² - 4x - 10 = 02(x² - 2x - 5) = 0

x² - 2x - 5 = 0(x - 1)² - 6 = 0

(x - 1)² = 6x - 1 = ±√6

Therefore, x = 1 + √6 or x = 1 - √6

When x - 9 is negative:

2x² - 6x + 8 - 2(-x + 9) = 0

2x² - 6x + 26 = 0

2(x² - 3x + 13) = 0

This quadratic has no real roots since the discriminant b² - 4ac = (-3)² - 4(1)(13) = -47 is negative.

Therefore, the values of x that make f(x) = 0 are 1 + √6 and 1 - √6.

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Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

\(\frac{9}{3}\) = \(\frac{x}{5}\) ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

Answer: 9

Step-by-step explanation: it is technically the same shape twice but a little bit different

The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.

The confidence interval for a population proportion is calculated by the formula,

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

Where \(\bar{p}\) is the sample proportion and α is the level of significance.

It is given that,

The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are

The sample size n = 200;

The number of successes = 46

So, the sample proportion \(\bar{p}\) = 46/200 = 0.23

For a 95% confidence interval, the level of significance is

α = 1 - 95/100 = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Then, the z-score for the value 0.025 is

\(z_{\alpha/2}\) = 1.96 (from the table)

Thus, the confidence interval is

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)

⇒ C.I = 0.23 ± 1.96 × 0.0298

⇒ C.I = 0.23 ± 0.0584

So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.

Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.

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In this problem we can calculate the sand amound in each of the elements of the mixture.

1) for the first one: 2m^2 with 35% of sand:

solving the rule of 3 is going to be:

so in the first element we have 0.7 m^2 of sand

2) For the seconf: 6m^2 with the 15% of sand:

Solving the rule of 3 is going to be:

so in the second element we have 0.9 m^2 of sand

So in total the content of sand is:

Answer:

30 doll hairs

Step-by-step explanation:

6/12=2 which is the price of one 2 liter bottel

2x15=30

Hope this helps!!

Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation: