In a pile of playing cards, there are 6 hearts, 4 clubs, and 8 spades. What is the probability that you will draw a heart?

1. 1/2

2. 1/6

3. 1/3

4. 1/12

The fraction 24/35 is  equal to 68.57% when converted to a percentage.

To convert a fraction to a percentage, you can follow these steps:

Divide the numerator of the fraction by the denominator.

In this case, divide 24 by 35: 24 ÷ 35

= 0.6857142857142857

Multiply the result from 0.6857142857142857 by 100 to get the percentage.

Multiply 0.6857142857142857 by 100

0.6857142857142857 × 100 = 68.5714285714

Therefore, the fraction 24/35 is equal to 68.57% when converted to a percentage.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

Square root of 56 so in simplest radical form 4 root 4

Step-by-step explanation:

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × \(\frac{15}{360}\)

     = 2π × 10 × \(\frac{1}{24}\)

     = \(\frac{20\pi }{24}\)

     ≈ 2.62 cm ( to the nearest hundredth )

Answer: Your answer is: (-4,∞)

Answer:

61.2 mph

Step-by-step explanation:

Let's first calculate the individual legs of Adara's trip in terms of both time and distance:

Ashdown to Bridgeton

3 hr at 60 mph = 180 miles in 3 hours

Bridgeton to Carton

30 miles at 70 mph:  30 miles/(70 miles/hour) = 0.429 hours

Total Trip

Miles = 180 + 30 = 210 miles

Time = 3 + 0.429 = 3.429 hours

Average speed is (210 miles)/(3.429 hours) = 61.25 or 61.2 miles/hour to 1 decimal point.

Therefore, the length of each side of the original square is 5 cm.

Area is a measure of the size of a two-dimensional surface or region. It is the amount of space enclosed by a boundary in two dimensions. In simple terms, area is the size of a flat surface, such as the floor, a wall, or a piece of paper. It is usually measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), or acres.

Here,

Let x be the length of each side of the original square.

When the length of each side is increased by 10 cm, the new length is x + 10, and the area of the new square is (x + 10)².

According to the problem, the increase in area is 200 cm², so we can set up the equation:

(x + 10)² - x² = 200

Expanding the left side of the equation, we get:

x² + 20x + 100 - x² = 200

Simplifying, we get:

20x + 100 = 200

Subtracting 100 from both sides, we get:

20x = 100

Dividing both sides by 20, we get:

x = 5

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Answer:

No solution.

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

-4x-5=-4+5

Solve -4x-5=-4x+5 for x by moving all terms containing x to the left side of the equation. Add 4x to both sides of the equation.

-4x-5+4x=5

Combine the opposite terms in -4x-5+4x.

Add -4x and 4x.

0-5=5

Subtract 5 from 0.

-5=5

Since -5=5, there are no solutions.

The standard form of decimal number 0.007 is 7 × 10^{-3}.

What is Decimal number?

The decimal numeric system is the standard system for denoting integer andnon-integer figures. It's the extension tonon-integer figures of the Hindu – Arabic numeric system. The way of denoting figures in the decimal system is frequently appertained to as decimal memorandum.

We get numbers when we break a total into lower corridor. A decimal number also has two factors a whole number part and a fractional part. The decimal place value system for the whole part of a decimal number is the same as the whole number value system. still, we get the fractional part of the decimal number as we move toward the right after the decimal point.

What is Standard Form?

A standard form of a number in Maths is principally mentioned for the representation of large figures or small figures. We use expounders to represent similar figures in standard form.

The correct description of standard form could be explained better in terms of decimal figures and following certain rules. As we know, decimal figures are the simplified form of fragments.

Some fragments give decimal figures which have figures after numeric at thousandths, hundredths or tenths place. But there are some fragments, which give a big decimal number. To represent similar big figures, we use simpler forms, which are also stated as Scientific memorandum.

We have given decimal number is : 0.007 x 10

we convert this number into standard form so we divide the number of place after decimal ;

0.0007/1000 = 7 x 10^{-3}

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Answer: -135

Step-by-step explanation:

90 + 45 = 135

90 - 135 = -45

I hope this helps

The expression of 0.785 in the form p/q is 157/200

The ratio is defined as a way of dividing a variable by another variable.

Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)

0.785 = 785/1000

Express in its simplest form

785/1000 = 157/200

Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.

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In the triangle, the values are p=10.3, \(\angle Q=19.5\textdegree\) and \(\angle R = 112.5\textdegree\).

The functiοns οf an angle in a triangle are knοwn as trigοnοmetric functiοns, cοmmοnly referred tο as circular functiοns. In οther wοrds, these trig functiοns prοvide the relatiοnship between a triangle's angles and sides. There are five fundamental trigοnοmetric functiοns: sine, cοsine, tangent, cοtangent, secant, and cοsecant.

Here in the given triangle PQR, \(\angle P = 48\textdegree\) , q=5 and r=13.

Now using law of cosine fοrmula,

=> \(p^2=q^2+r^2-2qr.cos\angle P\)

=> \(p^2=5^2+13^2-2.5.13.cos 48\textdegree\)

=> \(p^2=25+169-130cos48\textdegree\)

=> \(p^2=107\)

=> p = 10.3

Now using law of sine then,

=> \(\frac{p}{sinP}=\frac{q}{sinQ}\)

=> \(sinQ=\frac{q sinP}{p}\)

=> \(sin Q= \frac{5sin 48\textdegree}{10.3}\)

=> sin Q = 0.344

=>\(\angle Q = 19.5\textdegree\)

Now sum οf all angles in triangle is 180°. Then,

=>\(\angle P+\angle Q+\angle R = 180\textdegree\)

=> \(\angle R = 180-48-19.5=112.5\textdegree\)

Hence the answers are p=10.3, \(\angle Q=19.5\textdegree\) and \(\angle R = 112.5\textdegree\).

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Answer:4:3  which is UNEVEN

Step-by-step explanation:

4 oj

3 yg

The value of the fraction -5/7 and -4/7 added and subtracted from the fraction -21/2 added to 1/22 is 64/77.

The sum of 1/2 and -21/22 can be found by finding a common denominator,

1/2 = 11/22 (since 11 x 2 = 22)

-21/22 = -21/22

Therefore, the sum of 1/2 and -21/22 is,

= 11/22 - 21/22

= -10/22 = -5/11

The sum of -4/7 and -5/7 is,

-4/7 - 5/7 = -9/7

Now, subtracting as asked in the question.

= (-5/11)-(-9/7)

= (-5/11)+(9/7)

Finding common denominator to add the fractions,

7 x 11 = 77

(-5x7)/(11x7)+(9x11)/(7x11)

= -35/77 + 99/77

Now, we can combine the numerators,

-35/77 + 99/77 = 64/77

Therefore, the final answer is 64/77.

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Answer:

x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.

y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.

Step-by-step explanation:

Answer:

When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.

Step-by-step explanation:

The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.

Answer:

\( \frac{10}{16} \)

Step-by-step explanation:

\( \frac{red \: pens}{total \: pens \: } = \frac{10}{16} \)

or 5/8

a) The amplitude of the function is 4 feet.

b) The function that represents the situation is .

a) The amplitude (A), in feet, is equal to the difference between highest and lowest point (\(\left(y_{\max }, y_{\min }\right.\)), in feet, divided by 2. The period (T), in seconds, is the time taken by the bottle to complete one cycle. In this case, the period is the time between two maxima. Hence, we proceed to determine each variable:

Amplitude \(\left(y_{\max }=14 \mathrm{ft}, y_{\min }=6 \mathrm{ft}\right)\)

\(\begin{array}{l}A=\frac{14 f t-6 f t}{2} \\A=4 f t\end{array}\)

The amplitude of the function is 4 feet.

Period

The period of the function is 20 seconds.

b) The function that represents the situation is based on this model:

\(y(t)=y_{o}+A \cdot \sin \frac{2 \pi \cdot t}{T}\)  ........(1)

Where:

\(y_{o}\)- Average height of the bottle, in feet.

\(t\) - Time, in seconds.

\(y(t)\) - Current height, in feet.

If we know that \(A=4 \mathrm{ft}, y_{o}=10 \mathrm{ft} \text { and } T=20 \mathrm{~s}\) then the function that represents the situation is:

\(y(t)=10+4 \cdot \sin \frac{\pi \cdot t}{10}\) ......(2)

The function that represents the situation is \(y(t)=10+4 \cdot \sin \frac{\pi \cdot t}{10}\).

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The different outcomes in which 100 entries can finish the road race at first, second, & third place is 970200.

The techniques used to determine how many outcomes are conceivable in certain circumstances are permutation and combination. Combinations and permutations are referred to as selections and arrangements, respectively. The sum rules and product rules, which are based on the basic concept of counting, make counting simple to use.

A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial.

The number of way in which 100 entries finish a road race is given by:

P = 100! / (100 - 3)!

P = 100! / 97!

P = (100)(99)(98)(97)! / 97!

P = (100)(99)(98)

P = 970200

Hence, the different outcomes in which 100 entries can finish the road race at first, second, and third place is 970200.

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The required expanses of the company is $900 which is debited from the income of the company.

The average (mean) income is the amount of a bunch of numbers partitioned by the include of numbers in the informational collection. To decide the normal, include every one of the numbers in the informational collection and afterward partition by the number of numbers there that are in the informational collection.

As question said that company paid $600 in salaries and spent $300 on advertising in a period.

Total spend of company = $600+$300 = $900.

So, we can say at the end of period company has to minus this spend of $900 from his income.

Thus, $900 debit to Income Summary.

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Answer:

the right answer is a and e

Answer:

A and e

Step-by-step explanation:

i did this test

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

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Answer:

If we look at the graph, we can see that the x-intercept is located at (4, 0) and the y-intercept is located at (0, 2.5)

The experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, total multiple choice quiz = 5 questions

          Each question contains 5 choices in which 1 choice is correct and remaining 4 are incorrect.

Possibility of first wrong choice = 4/5

Possibility of second wrong choice = 4/5

Possibility of third wrong choice = 4/5

Possibility of fourth wrong choice = 4/5

Possibility of fifth wrong choice = 4/5

Overall probability for Zero correct answer=(4X4X4X4X4)/(5X5X5X5X5)

                                                                        = (4/5)⁵

Thus, the experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵

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Answer:

If this is a question than the answer would be 18

Step-by-step explanation:

18-6=12

Answer: Altitude

Step-by-step explanation:

The expression that represents the amount each person will eat is "one third of a pizza".

The expression "one third of a pizza" is used to represent the amount each person will eat when three friends are equally sharing a pizza. This expression implies that the pizza will be divided into three equal parts, and each person will take one of these parts. This expression is also commonly used when referring to a group of three people sharing other types of food, such as a cake, ice cream, or a sandwich. It is important to note that when three people are sharing a pizza, they could also choose to cut it into unequal pieces if they wanted to. This expression is just a way of describing the general idea that when three people are sharing a pizza, they will each get an equal portion.

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Answer:

EF= 18 in. , m<F=134'

Step-by-step explanation:

This ones for the boys with the booming system, top down ac with the cooling sytem

Answer:

48

Step-by-step explanation:

The amount of time needed and the amount of wall to paint are directly proportional. So, when we multiply the amount of wall to paint by 8/5 (going from 5000 square feet to 8000 square feet), we multiply the time needed by 8/5. Therefore, we need 30 * 8/5 = 48  minutes to paint the 8000 square foot wall.

We need 48 minutes to paint 8000 square football . The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour.

Given,

8 team members paint 5000square football in 30 min

So,

30*8/5

= 48 minutes

Therefore We need 48 minutes to paint 8000 square football.

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Answer:

Incomplete question

Step-by-step explanation:

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