Which of the following fractions is equivalent to 1/7. (Choose all that apply) 2/14, 4/28, 5/35, 2/8, 7/49, and 7/70

Answer:

He earns $0.24 in interest after 1 day.

Step-by-step explanation:

Compound interest:

In which:

P is the principal, the amount of the initial deposit.

r is the yearly interest rate, as a decimal.

n is the number of compoundings during a year.

t is the number of years.

In this question:

Deposit of $1,750, so P = 1750.

Interest rate of 5%, so r = 0.05.

Compounded daily. A year has 365 days, so n = 365.

After 1 day. 1 day is 1/365 of an year, so t = 1/365.

The amount he will have after one day will be:

The interest earned will be:

Amount after 1 day subtracted by the deposit.

Deposit of $1,750.

After 1 day, he will have $1,750.24.

1750.24 - 1750 = 0.24

He earns $0.24 in interest after 1 day.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer: 6

Step-by-step explanation: To evaluate this problem, the first thing

we want to do is plug in the appropriate values for a, b, and c.

When we do that, we get \(\frac{3(4)}{4(3) - (10)}\).

A good rule of thumb for problems that involve division bars is to simplify what's above the division bar as much as you can and what's below the division bar as much as you can before you do your dividing.

So up top, we simplify 3(4) to get 12.

Down below, we want to multiply before we subtract.

So 4(3) is 12 and we have 12 - 10 which is 2.

So we have 12 / 2 which simplifies to 6.

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

21/2 or 10 1/2

Answer:

$14.20

Step-by-step explanation:

$42.60 ÷ 3

$14.20

Answer:

convert the task into ratios

(1) if $24 = 4 walks

how many $ for a walk

= (24/4) $/walk

= $6 per walk

•the first one is correct

•the second is wrong, cause it interprete $12/3 walks, which is rationalized to $3 per walk

•the third one is correct, cause it can also be rationalized ($30/5walks) to $6 per walk.

also, rationalizing this would equate to 3 miles per hour (6miles/2hrs)

• one is wrong cause it's 4 miles per hour

•two is correct, it's saying 3 miles per hour (12/4)

• third, likewise is correct 3 miles per hour (9/3) miles/hrs

Answer:

650,000,000

Step-by-step explanation:

6.5x10^8

Based on the calculations, the area of a rectangle to the nearest hundredth is equal to 1143.92 ft².

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

By drawing a line between the points representing wicket 3 and wicket 9, we can logically deduce that wicket 2 forms a perpendicular bisector. Thus, the distance between the points representing wicket 3 and wicket 9 is given by:

Distance = 1/2 × 36.77

Distance = 36.77/2

Distance = 18.39 ft.

For the height of this triangle, we would apply Pythagorean's theorem:

h² = 25.02² - 18.39²

h² = 626.0004 - 338.1921

h² = 287.8083

h = √287.8083

h = 16.97 ft.

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 36.77 × 16.97

Area of triangle = 311.99 ft².

For area of the rectangle, we have:

Mathematically, the area of a rectangle can be calculated by using this formula;

Area = LW

Area = 36.77 × 31.11

Area = 1143.92 ft².

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Answer:

h = 6 feet

Step-by-step explanation:

It is given that,

Area of a triangle, A = 18 sq feet

Base of the triangle, b = 6 feet

We need to find the height of the triangle. The area of a triangle can be given by the formula as follows :

\(A=\dfrac{1}{2}\times b\times h\)

h is height

\(h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 18}{6}\\\\h=6\ \text{feet}\)

So, the height of the triangle is 6 feet.

Answer: Option A is correct, which is 73

Here, we are required to find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.

The correct answer is Pr(C & fewer than 3) = 0.171

Let Pr(C) be the number of consumers who believe that cash will be obsolete in the next 20 years.

Therefore, since 39.8% believe so,

If 7 consumers are selected randomly, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years will be;

Therefore the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is;

Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C & fewer than 3) = 0.171

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Answer:

A fraction tells you how many parts of a whole there are. When we find a fraction of an amount, we are working out how much that 'part' is worth within the whole. You can see fractions of amounts all around us

Step-by-step explanation:

i may be wrong but I tried

Answer:

A Supplementery

Step-by-step explanation:

they show on usa test prep

The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).

Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.

For example, consider the following pair of angles:

Angle A measures 80 degrees.

Angle B measures 100 degrees.

The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.

As per the given figure, we have two angles UVZ and WVZ

As indicated in the image, the best description for the given pair of angles is supplementary.

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The area of the given polygon ABCDE divided into three triangles ABC, ACD and AED is 79.5 sq. units.

What is a polygon?

A polygon is a closed figure or shape formed using line segments. Smallest polygon is a triangle containing three sides. On the basis of its sides polygons are classified as triangle, quadrilateral, pentagon, hexagon, heptagon, octagon etc. The sum of interior angles of a polygon is found by the formula (n-2)180 , where 'n' refers to the number of sides in a polygon. The sum of exterior angles of any polygon is always equal to 360°. The area of any irregular or regular polygon may be evaluated by dividing the given shape into standard shapes like square, rectangle, triangle etc and then adding up the areas of all shapes.

Here the given pentagon ABCDE is further divided into three triangles,

ABC, ACD and AED

Also given the areas of triangles:

area of ΔABC = 23.85 sq. units

area of ΔACD = 29.40 sq. units

area of ΔAED = 26.25 sq. units

∴The area of given figure= Sum of the areas of ΔABC, ΔACD and ΔAED

                                         =area of ΔABC+area of ΔACD+area of ΔAED

                                         =23.85+ 29.40+26.25

                                         =79.5 sq. units.

The area of the given figure is 79.5 sq. units

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Refer to the attached figure below for complete question.

The midpoint of the line segment with the endpoints is (4, 1)

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

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Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

Answer:

The answer is c

Step-by-step explanation:

Answer:

the answer is C. It has a constant rate of change.

Step-by-step explanation:

The number \(316_7\) is 316 in base seven

The number 316 in base seven is 160 in base ten

To convert to base 10, we make use of the product rule.

So, we have:

\(316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o\)

Evaluate the exponents

\(316_7 = 3 * 49 + 1 * 7 + 6 * 1\)

Evaluate the products

\(316_7 = 147 + 7 + 6\)

Evaluate the sum

\(316_7 = 160\)

Hence, the number 316 in base seven is 160 in base ten

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Answer:

y = -⅛x + 1⅝

Step-by-step explanation:

Answer:

C) 1

Step-by-step explanation:

Answer:

B. Recursive

Step-by-step explanation:

I calculated it logically

Answer:

D

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer: 6 years

Step-by-step explanation: 32,000 divided by 25% is 24,000. 24,000 divided by 25% is 18,000. 18,000 divided by 25% is 13,500. 13,500 divided by 25% is 10,125. 10,125 divided by 25% is 7,593.75. 7,593.75 divided by 25% is 5,695.3125. so 6

Answer: i think it would be 20

Step-by-step explanation:

if you do the problem it should show you

1. The probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond is 1/2.

3. The probability of selecting a number smaller than 9 is 9/13.

1. The probability of selecting a 3 of Diamonds:

There is only one 3 of Diamonds in the deck, and the total number of cards in the deck is 52. Therefore, the probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond:

There are 13 Clubs and 13 Diamonds in the deck, making a total of 26 cards. The probability of selecting a Club or Diamond is the ratio of the number of favorable outcomes (Club or Diamond) to the total number of possible outcomes (52 cards). Therefore, the probability is 26/52, which simplifies to 1/2.

3. The probability of selecting a number smaller than 9:

There are four suits in the deck (Clubs, Diamonds, Hearts, and Spades), and each suit has cards numbered 2 to 10. So, there are 4 suits * 9 cards per suit = 36 cards that are numbered smaller than 9.

The probability of selecting a number smaller than 9 is the ratio of the number of favorable outcomes (36 cards) to the total number of possible outcomes (52 cards). Therefore, the probability is 36/52, which simplifies to 9/13.

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The total amount that will be paid for the coat would be; $79.95  to the nearest cent.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Given that Jack wants to buy a coat that costs $74.95. The sales tax rate in his city is 6 and 1/2 percent.

Thus, the total cost for the coat can be calculated as;

The amount that will be paid for the coat will be;

= Amount of shirt + Tax

= $74.95 + (6.5% × $74.95)

= $74.95 + (6.5/100 × $74.95)

= $74.95 + $4.80

= $79.95

The total amount that will be paid for the coat would be; $79.95 to the nearest cent.

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