ben score 44 out of 60 marks in the math test.
what is his score as a percentage to 1 decimal place

Answer:

The answer is 65.

Maybe there is another option that gives 65?

Step-by-step explanation:

a²+b²=c²

a=33

b=56

33²+56²=c²

1089+3136=c²

4225=c²

√4225 = c

65=c

Answer:

9/10π

Step-by-step explanation:

The formula for converting degree to radian is x/180° = R/π

162°/180° = R/π

9/10π

The number is 50.126.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

100 times my number is 12.6 more than 5000.

Now, 100 times my number

= 100x

12.6 more than 5000

= 12.6+ 5000

= 5012.6

So, 100x= 5012.6

x= 5012.6/100

x= 50.126

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Given:

i) 3, -5, -2, 1

ii) -1, -8, -7, -2

iii) -2, -4, 0, 2

To find:

increasing order of the given numbers.

Solution:

Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.

We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.

For example: -3 is less than -1.

i) We have,

3, -5, -2, 1

So, the increasing order of these number is -5, -3, -2, 1.

ii) We have,

-1, -8, -7, -2

So, the increasing order of these number is -8, -7, -2, -1.

iii) We have,

-2, -4, 0, 2

So, the increasing order of these number is -4, -2, 0, 2.

Answer:

Step-by-step explanation:

i dont know but pls dont hate me no one anserd for 15 hours so i took some points

Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Answer:

>85 miles

Step-by-step explanation:

Rent-a-Ride charges $55 for unlimited miles.

We Got Wheels charges a $38 initial fee, then $0.20 for every mile.

We can subtract the fees, 55-38 = $17. This is the difference between their initial fees. All we have to figure out is, how long does it take before We Got Wheels costs MORE than $17.

This can be represented as 0.2x > 17

To solve this, divide both sides by 0.2 and you will get

x > 85.

Answer:

$2 I think not sure if not sorry

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

Um its 2.83

Step-by-step explanation:

This is a 5th grade quesion

The value of each digit in a number is known as the place value. The 5 in 350. The value of √8 rounded off to the nearest hundredth is 2.83.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

Given √8 whose approximate values to its nearest hundredth can be written as,

The value of √8 = 2.8284271247

Round 2.8284271247 to its nearest hundredth.

We have,

2.8(2)84271247

2 is in the hundredth place.

We will round 284  to its nearest hundredth.

It will round to either 200 or 300.

Since it is 284 is more than 250 we will round to 300.

Therefore, 2.8300 is our answer.

Thus, the value of √8 rounded off to the nearest hundredth is 2.83.

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Answer:

D. 45

Step-by-step explanation:

All angles have to = 180°

60 + 75 + <RVE = 180°

135 + RVE = 180°

180 - 135 = 45° RVE

RVE = 45°

Another way to check your answer:

Add all of the angles, and it should equal 180°

60 + 75 + 45 = 180°

Correct!

The correct answer is option (B)  \(\frac{5}{8}x - 6\frac{1}{2}\)  when  \(\frac{5}{8}x +1\frac{1}{3}\) is subtracted from \(1\frac{1}{4} x -5\frac{1}{6}\) . Both values are in mixed fraction.

Define mixed fraction ?

A mixed fraction is a mathematical expression that represents a whole number and a fraction together. It is also called a mixed number. In a mixed fraction, the whole number is written first, followed by a space and then the fraction. The fraction represents a part of the whole number, with the numerator (top number) indicating the number of parts and the denominator (bottom number) indicating the total number of parts.

To subtract \(\frac{5}{8}x +1\frac{1}{3}\) from \(1\frac{1}{4} x -5\frac{1}{6}\) , we can simplify both terms to have a common denominator. The common denominator is 24. Then we have

\(1\frac{1}{4}x - 5\frac{1}{6} - \left(\frac{5}{8}x + 1\frac{1}{3}\right)\)

\(= \frac{5}{4}\cdot\frac{6}{6}x - \frac{31}{6}\cdot\frac{4}{4} - \frac{15}{24}x - \frac{32}{24}\)

\(= \frac{30}{24}x - \frac{124}{24} - \frac{15}{24}x - \frac{32}{24}\)

\(= \frac{15}{24}x - \frac{156}{24}\)

\(= \frac{5}{8}x - \frac{13}{2}\)

\(= \frac{5}{8}x - 6\frac{1}{2}\)

Therefore, the correct answer is option B  \(\frac{5}{8}x - 6\frac{1}{2}\) .

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Answer:

ofco 1+1=2

Step-by-step explanation:

abc that's why

The probability that two randomly chosen individuals in the United States both wear a seat belt while driving is approximately 18.49%.

To calculate the probability that both randomly chosen individuals are wearing a seat belt, we can multiply the individual probabilities together.

The probability of the first person wearing a seat belt is 43%, which can be expressed as 0.43 or 43/100. Since the first person's choice does not affect the second person's probability, the probability of the second person wearing a seat belt is also 43%.

To find the probability of both events occurring, we multiply the two probabilities together:

0.43 * 0.43 = 0.1849 or 18.49%

Therefore, the probability that both randomly chosen individuals are wearing a seat belt is approximately 18.49%.

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Answer:

23 chicken wings.

Step-by-step explanation: Because 8 chicken wings are 16 dollars that would mean that each chicken wing is 2 dollars each.

16 divided by 8= 2     and 16 divided by 2 = 8

So then we would do... 46 divided by 2 which gives us 23.

The two points on the line y = -3 that are at a distance of 10 units of (4, -3) are (12, -3) and (-4, -3)

We want to find two points of the form (x, y) such that:

Remember that the distance between two points (a, b) and (c, d) are given by:

distance = √( (a - c)^2 + (b - d)^2)

Now, because of the first bullet point, we know that our points will be of the form (x, -3)

Now if we want this point to be at a distance of 10 units of (4, 3), then we can write:

distance = 10 = √( (4 - x)^2 + (3 - (-3))^2)

                 10 = √( (4 - x)^2 + (6))^2) = √( (4 - x)^2 + 36)

So we must have that:

(4 - x)^2 + 36 = 100

(4 - x)^2 = 100 - 36 = 64

(4 - x) = ±√64 = ±8

Solving this for x:

x = 4 ±8

Then the two values of x are:

x = 4 + 8 = 12

x = 4 - 8 = -4

Then the two points are (12, -3) and (-4, -3)

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The dragster, starting from rest and accelerating at 32 m/s², reaches a speed of 128 m/s after 4.0 seconds.

A dragster starting from rest means that its initial velocity is zero. The dragster's acceleration is given as 32 m/s². To determine the speed of the dragster after 4.0 seconds, we can use the equation of motion:

where:

v = final velocity

u = initial velocity (which is 0 m/s since the dragster starts from rest)

a = acceleration (32 m/\(s^2\) in this case)

t = time (4.0 seconds in this case)

Substituting the given values into the formula:

v = 0 + (32 m/\(s^2\))(4.0 s)

v = 0 + 128 m/s

v = 128 m/s

Therefore, the dragster is traveling at a speed of 128 m/s after 4.0 seconds of acceleration.

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Answer:

w=4

Step-by-step explanation:

the slope is equal to the equation:

rise / run

-2 (slope) = 6 (rise) / x (run)

-2 = 6/x

-2x=6

x=-3

So now we know the run given the slope and rise which is -3.

7-3=4

therefore w=4

A. The required area of each base is \(A = π(1.16)^2.\)

B. Calculate \([2(π(1.16)^2) + 2π(1.16)(4.67)]\) expression to find the surface area of the can to the nearest tenth.

To calculate the surface area of a cylinder, you need to add the areas of the two bases and the lateral surface area.

First, let's find the area of the bases.

The base of a cylinder is a circle, so the area of each base can be calculated using the formula A = πr^2, where r is the radius of the base.

The radius is half of the diameter, so the radius is 2.32 meters / 2 = 1.16 meters.

The area of each base is \(A = π(1.16)^2.\)

Next, let's find the lateral surface area.

The lateral surface area of a cylinder is calculated using the formula A = 2πrh, where r is the radius of the base and h is the height of the cylinder.

The lateral surface area is A = 2π(1.16)(4.67).

To find the total surface area, add the areas of the two bases to the lateral surface area.

Total surface area = 2(A of the bases) + (lateral surface area).

Total surface area \(= 2(π(1.16)^2) + 2π(1.16)(4.67).\)
Calculate this expression to find the surface area of the can to the nearest tenth.

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The surface area of the can to the nearest tenth is approximately 70.9 square meters.

The surface area of a cylinder consists of the sum of the areas of its curved surface and its two circular bases. To find the surface area of the largest beverage can, we need to calculate the area of the curved surface and the area of the two circular bases separately.

The formula for the surface area of a cylinder is given by:
Surface Area = 2πrh + 2πr^2,

where r is the radius of the circular base, and h is the height of the cylinder.

First, let's find the radius of the can. The diameter of the can is given as 2.32 meters, so the radius is half of that, which is 2.32/2 = 1.16 meters.

Now, we can calculate the area of the curved surface:
Curved Surface Area = 2πrh = 2 * 3.14 * 1.16 * 4.67 = 53.9672 square meters (rounded to four decimal places).

Next, we'll calculate the area of the circular bases:
Circular Base Area = 2πr^2 = 2 * 3.14 * 1.16^2 = 8.461248 square meters (rounded to six decimal places).

Finally, we add the area of the curved surface and the area of the two circular bases to get the total surface area of the can:
Total Surface Area = Curved Surface Area + 2 * Circular Base Area = 53.9672 + 2 * 8.461248 = 70.889696 square meters (rounded to six decimal places).

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Answer:

To solve this problem, we need to add up the total amount of twine Charles used and then subtract it from the total amount he had.

Charles used 6.6 feet for each of the four packages, so he used a total of 6.6 * 4 = 26.4 feet for those packages.

He also used 7.5 feet for another package.

Therefore, the total amount of twine Charles used is 26.4 + 7.5 = 33.9 feet.

To find out how much twine Charles had left, we need to subtract the amount he used from the total amount he had:

42.3 - 33.9 = 8.4 feet

Therefore, Charles had 8.4 feet of twine left.

Step-by-step explanation:

The number of yellow marbles based on the given ratio will be 78.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Suppose, the number of yellow marbles is Y while purple marbles are P.

As per the given,

The ratio Y/P = 13/4

Total Y + P = 102

(13/4)P + P = 102

13P + 4P = 408

17P = 408

P = 24

And, Y = 102 - 24 = 78

Hence "The number of yellow marbles based on the given ratio will be 78".

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Answer:

.

Step-by-step explanation:

Answer:

The answer is -285

Step-by-step explanation:

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Answer:

C (37, 77)

Step-by-step explanation:

\(291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}\)

Option A is not a solution.

\(163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}\)

Option B is not a solution.

\(77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}\)

Option C is a solution.

Hope this helps.

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

Approximately 28.81% of states had an infant mortality rate between 5.6 and 7.1 per 1,000 live births.

To answer this question, we can use the Z-score formula: Z = (X - μ) / σ where X is the value we're interested in (in this case, 5.6 and 7.1), μ is the mean (6.98), and σ is the standard deviation (1.62).

For 5.6: Z = (5.6 - 6.98) / 1.62 Z = -0.853 For 7.1: Z = (7.1 - 6.98) / 1.62 Z = 0.074

We can use a Z-table to find the percentage of states that fall between these two Z-scores. Using the table, we find that: P(-0.853 < Z < 0.074) = 0.2881

So approximately 28.81% of states had an infant mortality rate between 5.6 and 7.1 per 1,000 live births.

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To find Q2 (the median), we arrange the dataset in ascending order:

15, 16, 17, 17, 18, 19, 20, 20, 21, 23, 24, 25, 26, 28, 28, 29, 29, 30. The middle value is the median, so Q2 = 23.

To find Q1 (the lower quartile), we take the median of the lower half of the dataset: 15, 16, 17, 17, 18, 19, 20, 20, 21. The middle value is the lower quartile, so Q1 = 18.

To find Q3 (the upper quartile), we take the median of the upper half of the dataset:

24, 25, 26, 28, 28, 29, 29, 30. The middle value is the upper quartile, so Q3 = 28.

The minimum value in the dataset is 15.

The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1 = 28 - 18 = 10.

To find the maximum value, we identify the highest value in the dataset, which is 30.

To determine the percentage of data greater than 28, we count the number of data points greater than 28 (2 data points: 29 and 30) out of the total number of data points (20). So approximately, 10% of the data are greater than 28.

To determine the percentage of data less than 23, we count the number of data points less than 23 (9 data points) out of the total number of data points (20). So approximately, 45% of the data are less than 23.

To determine the percentage of data between 17.5 and 28, we count the number of data points within that range (11 data points) out of the total number of data points (20). So approximately, 55% of the data are between 17.5 and 28.

To identify any outliers, we can use the interquartile range method. Any data point that is below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR is considered an outlier. In this case, there are no data points that meet this criterion, so there are no outliers in the given dataset.

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