0.5 as an fraction plz

The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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The probability that a randomly chosen family has five children is 1/20.The probability that a randomly chosen child comes from a family with two children 1/3.

(a) To find the probability that a randomly chosen family has i children, we divide the number of families with is children by the total number of families in the community organization. Similarly, the probability that a randomly chosen family has three children is

5/20 = 1/4, the probability that a randomly chosen family has four children is

2/20 = 1/10, and the probability that a randomly chosen family has five children is 1/20.

(b) To find the probability that a randomly chosen child comes from a family having i children, we divide the number of children in families with i children by the total number of children in the community organization. The total number of children in the community organization is

4 + 16 + 15 + 8 + 5 = 48 children

Hence, the probability that a randomly chosen child comes from a family with one child is

4/48 = 1/12

The probability that a randomly chosen child comes from a family with two children is 16/48 = 1/3, and so on.

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Answer:7

Step-by-step explanation:7

Answer: Mrs. Somner is correct.

Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

+2, +9, +24.

Step-by-step explanation:

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

2 min i think

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

1 mile = 8 minutes

8 minutes ÷ 4 ( 3/(4)) = 2

They're asking for 3/4 of the mile so,

2 x 3 = 6.

Hope this helps!

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

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Answer:

D

Step-by-step explanation:

(b-2)(b-8)+4=0

b^2-10b+16+4=0

b^2-10b+20=0

Product of roots is given by c/a=20. So the answer is 20

the answer is -2, 5 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answer:

x = 4

Step-by-step explanation:

white area: (x+1)(x-2) = x^2-2x+x-2 = x^2-x-2

total area: (2x-1)(x+3) = 2x^2+6x-x-3 = 2x^2+5x-3

expression of shaded area

2x^2+5x-3 -(x^2-x-2) =39

2x^2 + 5x -3 -x^2+x+2 -39 = 0

x^2 + 6x - 40 = 0

(x+10)(x-4) = 0

x = -10 (not acceptable because a length is positive)

x = 4

The value of x is equal to 4

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides

Given here  are the area of the shaded region as 39 square units and the dimensions for the unshaded region as x-2, and x+1 . And dimensions for the outer bounding region as 2x-1 and x+3

Thus     (2x-1 ) × (x+3 ) - (x-2 ) × (x+1) = 39

            2x² + 6x - x -3 - x²-x+2x +2 =39

                          x² + 6x - 40   = 0

                            (x-4) (x+10)  = 0

Thus x = 4 or -10 but x cannot be negative as it represents length.

Hence the value of x=4

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

second one

Step-by-step explanation:

f(3)=g(3)=6

Answer:

  5/6 mile

Step-by-step explanation:

The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.

__

Here is the equation for the area of a rectangle.

  A = LW . . . . . area is the product of length and width

When we fill in the area and width, we have ...

  5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland

Solving this equation gives ...

  L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L

  L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division

The length of Sandra's farmland is 5/6 mile.

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

1/8

Step-by-step explanation:

'Of' means that you have to multiply, so you would have 1/4 • 1/2.

1/4 • 1/2 = 1/8

1/4 of 1/2 is fraction 1/8.

A number system is defined as a system of writing to express numbers.

We have to find the value of 1/4 of 1/2

In the question of in the sense multiplication.

Multiplication is a method of finding the product of two or more numbers

1/4×1/2

One by four times of one by two

1/8

Hence,  1/4 of 1/2 is fraction 1/8.

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Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

The amount of total liabilities to be reported on the balance sheet is $92,200.

What are the liabilities?

In accounting and finance, liabilities refer to the amounts that a company owes to others, such as creditors, suppliers, employees, and lenders. Liabilities can be both short-term and long-term, and they are considered to be a company's obligations that must be paid back in the future.

The total liabilities of the company can be calculated by adding up the amounts that it owes to others.

From the information given in the problem, the company borrowed $31,100 from a bank, and it also issued a note for the remaining amount ($71,100 - $10,000 = $61,100) it owed for the equipment, so it owes a total of $31,100 + $61,100 = $92,200 to creditors.

Therefore, the amount of total liabilities to be reported on the balance sheet is $92,200.

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Answer:

8

Step-by-step explanation:

3/4 cup leaves 1/4 cup from each cup

1/4+1/4+1/4=3/4

so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups

Answer:

d

Step-by-step explanation:

Answer:

a) The missing terms are 9, 13, 21 and 25.

b) If we know that \(n_{1} = 9\) and \(r = 4\), then the n-th term of the sequence is represented by \(n_{n} = 9 +4\cdot (n-1)\).

Step-by-step explanation:

a) Given that elements of the sequence are found by increasing by the same amount, we infer that elements are part of an arithmetical progression. The rate of progression is now determined:

\(3\cdot r = 29-17\)

\(3\cdot r = 12\)

\(r = 4\)

The missing terms are:

\(n_{1} = 17 - 2\cdot (4)\)

\(n_{1} = 9\)

\(n_{2} = 17 - 4\)

\(n_{2} = 13\)

\(n_{4} = 17 +4\)

\(n_{4} = 21\)

\(n_{5} = 17 + 2\cdot (4)\)

\(n_{5} = 25\)

The missing terms are 9, 13, 21 and 25.

b) The formula for the arithmetical progression is represented by the following formula:

\(n_{n} = n_{1} + r\cdot (n-1)\) (1)

Where:

\(n_{1}\) - First element of the sequence.

\(n\) - Indicator associated with the element of the sequence.

\(r\) - Progression rate.

If we know that \(n_{1} = 9\) and \(r = 4\), then the n-th term of the sequence is represented by \(n_{n} = 9 +4\cdot (n-1)\).

Answer:

15.7

Step-by-step explanation:

use a calculator lol

62.8 divided by 4 would equal 15.7

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "62.8" was replaced by "(628/10)".

STEP

1

:

           314

Simplify   ———

            5

Equation at the end of step

1

:

 314

 ——— ÷ 4

  5

STEP

2

:

        314      

Divide  ———  by  4

         5      

Final result :

 157            

 ——— = 15.70000

 10  

The completed statement that specifies the rule of congruency between triangle ΔSAT and triangle ΔSAO, is as follows;

ΔSAT ≅ ΔSAO by SAA rule.

Two triangles, ΔA and ΔB are congruent if the three lengths of the sides of triangle ΔA are congruent to the three side lengths of triangle ΔB.

The possible dimensions of the triangles, obtained from the triangle diagrams in a similar question on the site are;

Side ST in triangle ΔSAT is congruent to side SO in triangle ΔSAO

Angle ∠AST in triangle ΔSAT is congruent to angle ∠ASO in triangle ΔSAO

Side SA is congruent to side SA by reflexive property of congruency

Therefore, a side, (ST) an included angle (∠AST) and another side (SA), in triangle ΔSAT are congruent to a side (SO), an included angle (∠ASO), and another side SA in triangle ΔSAO

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The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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Answer:

387 contains 80 and 8 x 10 = 80

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)