The evaluation of the expression 12.75 ÷ 1.5 is 51 / 6.
How to evaluate expression?To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
Therefore, let's evaluate the expression as follows:
Hence,
12.75 ÷ 1.5
Let's convert each decimal to fractions for easy evaluation
Therefore,
12.75 = 1275 / 100
1.5 = 15 / 10
Therefore,
1275 / 100 ÷ 15 / 10
Let's change the division sign to multiplication sign.
1275 / 100 × 10 / 15
1275 / 150
Therefore,
255 / 30 = 51 / 6
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Help me in question b
An inequality that shows how much faster Elanor can drive without going over the speed limit is 43.5 + s ≤ 55.
Elanor can increase her speed by 2.
How to write, solve, and graph the required inequality?In order to write and solve an inequality that represents how much faster Elanor can drive without going over the speed limit, we would take note of the following important information;
The maximum speed limit is equal to 55.Elanor's speed is equal to 43.5.Let the variable s represent the safe speed.Now, we can write an inequality that represents the value of s for which the speed of Elanor is still safe as follows;
43.5 + s ≤ 55
By subtracting 43.5 from both sides of the inequality, we have the following:
43.5 - 43.5 + s ≤ 55 - 43.5
s ≤ 11.5
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What value makes the expressions equivalent? 8(-4x + 3) and - 14x + _ +(-18x）
The value that will 8(-4x+3) equivalent to -14x+ _+(18x) is 24
What are equivalent expressions?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
for example 2+ 3 and 4 + 1 are equivalent. The both have a value of 5.
Similarly;
8(-4x+3) , when the parentheses is opened, = -32x +24
Also
-14x -18x = -32x
Therefore the value of x that will make the two equation equivalent is 24
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A fair die is rolled 5 times. What is the probability of having no 1 and no 2 among the rolls
Answer:
40%
Step-by-step explanation:
There are 5 options to roll: 1, 2, 3, 4, and 5.
This means you have a 1 out of 5 chance of rolling each number.
This question is asking for 1 AND 2, not just one number. So, we have a 2 out of 5 chance of rolling that, because 2 options are acceptable instead of just one number.
I'm not sure which form you are looking for, but 2 out of 5 is the same as saying 2/5. Most probability solutions are wanted as a percentage. To find that just solve 2/5, which is 0.4. Move the decimal to the right twice, and that is a 40% chance.
Which pair of related inequalities can be graphed to find the solution set to 4*-7 <1?
O y<4*-7 and y < 1
Oy> 4*-7 and y < 1
O y<4*-7 and y> 1
O y> 4*-7 and y> 1
Answer:
The second one :( y> 4x - 7) and y<1
Classify this triangle by its sides and angles.
A.) acute and isosceles, but not equilateral
B.) obtuse and isosceles, but not equilateral
C.) obtuse and equilateral
D.) acute and equilateral
correct answer must be (a) acute and Isosceles but not equilateral because triangle has two equal side and all angle is less than right angle 90°
answer - (A)
5. City B has constructed their own subway system. The Green Line and the Orange Line run parallel to each other and the purple line runs perpendicularly to the Green Line and the Orange Line. The Silver Line intersects with the purple line and the green line at the same station. Angles 1 and 6 have the same measure. What is the measure of angle 9?
Answer:
135°
Step-by-step explanation:
Angles 1 and 6 have the same measure and sum to a 90 degree angle
so they are each 45°
Angles 1 and 4 are equal as well 45°
then angle 5 = 90 + 45 = 135 °
Angles 5 2 9 and 7 are all equal angle 9 = 135 °
What is an algebraic expression with more than 3 terms?.
An algebraic expression with more than 03 terms is known as Multinomial.
Multinomial Distribution:
In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, model the probability of counting on each side of a k-sided die n tosses. For n independent trials, each succeeds in exactly one of the k categories, and each category has a certain fixed probability of success. A multinomial distribution gives the probability for each particular combination of numbers of successes in different categories.
If k is 2 and n is 1, the multinomial distribution is Bernoulli. If k is 2 and n is greater than 1, the distribution is binomial. If k is greater than 2 and n is 1, the distribution is categorical. The term "multinoulli" is sometimes used for categorical distributions to emphasize this four-way relationship (hence n determines the prefix and k determines the suffix).
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7. Choose a method to solve the following system of equations. Then write 2-3 sentences
to why the system is set up for that method.
y = -2x + 6
y = 5x - 8
Type your 2-3 sentences in
text box below.
On solving the linear equations y = -2x + 6 and y = 5x - 8, the value for x is x = 2 and the value of y is y = 2.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The first linear equation is - y = -2x + 6
The second linear equation is - y = 5x - 8
Subtracting equation (1) from (2) -
y - y = 5x - 8 - (-2x + 6)
0 = 5x - 8 + 2x - 6
0 = 7x - 14
7x = 14
x = 14/7
x = 2
Substituting the value of y in equation (1) -
y = -2x + 6
y = -2(2) + 6
y = -4 + 6
y = 2
The subtraction and substitution method is chosen to solve the system of linear equations. The linear equations are first made equal in order to find the desired variable. Then subtraction is done to find the value of one variable. Next, the found value is substituted into the equation to find the unknown variable. This method is easy to understand and gives accurate value.
Therefore, the value of x and y is 2 and 2 respectively.
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What type of angle is 360 degrees?.
It is called a "congruent" angle.
A full rotation, or a complete revolution, is 360 degrees. Therefore, an angle of 360 degrees is called a "full rotation" or a "complete revolution." It is also sometimes called a "congruent" angle.
A full rotation is known as a circle. A circle is a round-shaped figure that has no corners or edges.
In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The entire circle completes a total of 360 degrees as it completes one rotation or what we call a complete revolution.
A circle is a congruent angle.
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HELP PLEASE THIS IS DUE IN 1 MINUTE!!!!!!!!
A sixth grade class is going on a field trip. The school is providing one sack lunch for each student. Each lunch has either a ham, turkey, or bologna sandwich along with either carrots or celery.
Identify which list below shows all the possible outcomes of sack lunches, and select the outcomes from that list that represent picking a ham or turkey sandwich with carrots if there are an equal number of each type of sack lunch and students are randomly selecting their lunch. Use this information to mark the probability on the number line.
The required probability has been shown on the number as illustrated in the figure.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
There are two veggies (carrots, and celery) and three types of meat (ham, turkey, and bologna),
This results in 3*2 = 6 distinct combinations of meat and a vegetable. Here, we are limited to choosing just one of each kind. List 2 shows the 6 different combinations. List 1 is inaccurate because you can only take one vegetable at a time and not both.
List 2 alternatives that state "ham, carrots" and "turkey, carrots" should be circled. Two things have been circled. This is one of a total of six.
Probability is given as,
= 2/ 6
= 1/3
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What are the steps to plotting points on a coordinate plane?.
To plot a point in a coordinate plane, first we have to define the point, then determine the coordinates, both x and y coordinates. Then plot the point in the appropriate plane.
A point is usually in a coordinate plane is described by two axis, X and Y. A point will usually be denoted as (x,y). From these values we have to determine where the point might be lying. If the x value is positive it is towards the right of 0 and negative it will be towards left. Y value become positive upwards and negative downwards.
After determining the coordinates we label as the readings the the X axis and Y-axis. In the figure given below we have plotted some points.
Point A (2,2) with x-coordinate 2 and y coordinate 2 , B(4,-2) with x coordinate 4 and y coordinate -2, C(-3,-1) with x coordinate -3 and y coordinate -1, D(-2,3) with x coordinate -2 and y coordinate 3.
So, for plotting we have to determine the coordinates and plot it.
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a line that includes the point (6,4) has a slope of -1/10 what is its equation in point slope form
The point Slope form equation is y = -1/10x + 26/5 , when a point (6,4) has a slope of -1/10
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
Given that the line includes the point (6,4) and has a slope of -1/10, we can substitute these values into the point-slope form to get the equation of the line:
y - 4 = -1/10(x - 6)
Simplifying this equation gives:
y = -1/10x + 26/5
So, the equation of the line in point-slope form is y = -1/10x + 26/5
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the image of the point (-9,9) under a translation is (-5,13). find the coordinates of the image of the point (-6,-7) under the same translation
Answer in the photo!!
hope it's right
The side length of the square is 11 cm. The diameter of the circle is 14 cm. Find the area of the shaded region. Use . A 153.86153.86153.86 cm2 B 94.98594.98594.985 cm2 C 32.8632.8632.86 cm2 D 615.44615.44615.44 cm2
Answer:
32.9 cm^2
Step-by-step explanation:
In the absence of a diagram, lets use the one shown in the attached worksheet. The assumption is that the "blue areas" are the four sections of the circle that extend beyond the square boundaries. The approach is to calculate areas for both the circle and the square.
Square = (11 cm)^2 = 121 cm^2
Circle = (3.14)*(14/2 cm)^2 = 153,9 cm^2
Subtract the square from the circle. That removes all the circle area, except for the four sections outside the square. The result is 32.9 cm^2
Can someone please help me with this math problem? The math problem is listed in the picture, Thanks!
I can only use numbers, infinity symbols, etc.
You have to consider the following relation.
Answer:
Domain:
[tex] - \infty < x < \infty [/tex]
Range:
[tex] - 1 \le \: y < \infty [/tex]
Step-by-step explanation:
Domain:The Domain of a function is x values which are included in the graph. Sometimes x values will not be included because they cannot be defined at that point, but in this case the graph indicates that the graph continues to the right and left with no indication that there is an asymptote or it is undefined beyond the graph so we can assume it's defined for all real numbers. We can represent this in interval notation as:
[tex] - \infty < x < \infty [/tex]
Since if you plug in any real number, this inequality should be true.
Range:The range of a function is defined as y values which are on the graph, this is restricted when certain y values are not on the graph... but we can usually tell because functions will have a minimum/maximum. By looking at the graph it appears to reach a minimum at y = -1 and then on the right and left side is increasing, never going below this value, so the range can be defined as:
[tex] - 1 \le y < \infty [/tex]
Since the y values vary between -1 (including -1) and infinity... well that really just means there's no upper bound and it just keeps increasing and increasing.
what does a square have in common with a rectangle
Answer:
They both have their four interior angles equal to 90 degrees and opposite sides parallel to each other.
Step-by-step explanation:
What is the product of 64?.
The product of 64 are 1, 2, 4, 8, 16, 32, 64 and its factors in pairs are (1, 64), (2, 32), (4, 16), and (8, 8).
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
The set of integers that can be divided evenly by 64 is called the factorization of 64. Overall, there are 7 components that make up 64: 1, 2, 4, 8, 16, 32, and 64, with 64 being the largest. The prime factors for the number 64 are 1, 2, 4, 8, 16, 32, and 64. Its factors in pairs are 1, 64, 2, 32, 4, and 16. (8, 8).
Factors of 64: 1, 2, 4, 8, 16, 32 and 64Negative Factors of 64: -1, -2, -4, -8, -16, -32 and -64Prime Factors of 64: 2Prime Factorization of 64: 2 × 2 × 2 × 2 × 2 × 2 = 26Sum of Factors of 64: 127Learn more about Factors:
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Andrew and Michael went for a hike in the Great Smoky
Mountains. They drank 500 fluid ounces of water during
their hike. What possible combinations of water could
Andrew and Michael have each drank while they were
hiking?
Here are some suggestions to assist you make sure you are consuming enough liquids to keep your hydration levels at good levels.
How much water should you drink while walking?By multiplying the hourly sweat rate by 4, you may calculate how much to drink every 15 minutes. This becomes the recommended amount of fluid consumption every 15 minutes of walking or running.Every hour of hiking for adults typically requires 2 cups of water. For every hour of hiking, kids typically need 1-2 cups. However, depending on whether you can filter water along the journey, the weather, and your own level of thirst, you might require more or less than this.An excellent general advice is one half-liter of water for every hour of moderate activity in temperatures between 50 and 60 degrees. If the temperature and level of exercise increase, you might need to drink more.To learn more about hydration refer to:
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There are an infinite number of combinations of water that Andrew and Michael could have each drank as long as the sum is 500.
How to solve the equation?Since Andrew and Michael drank a total of 500 fluid ounces of water, any combination of water that they drank must add up to 500 fluid ounces.
Let's call the amount of water Andrew drank as "a" and the amount of water Michael drank as "m". Then, we can write the equation: a + m = 500.
There are an infinite number of combinations of water that Andrew and Michael could have each drank as long as the sum is 500. Here are a few examples:
Andrew drank 250 fluid ounces and Michael drank 250 fluid ounces.
Andrew drank 200 fluid ounces and Michael drank 300 fluid ounces.
Andrew drank 100 fluid ounces and Michael drank 400 fluid ounces.
and so on.
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The posted rates for cab fare are $4 plus $1 per
mile. How many miles can a passenger travel in the
cab for $15?
O 15 miles
O 8 miles
O 14 miles
O 11 miles
What is the result when the number 28 is decreased by 25%?
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
28 - 25%=21
he weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 35 grams. Use the empirical rule to determine the following. (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 240 grams and 380 grams? (c) What percentage of organs weighs less than 240 grams or more than 380 grams? (d) What percentage of organs weighs between 240 grams and 415 grams?
a) About 99.7% of organs will be between 205 grams and 415 grams.
b) The percentage of organs weighing between 240 grams and 380 grams is of 95%.
c) The percentage of organs less than 240 grams or more than 380 grams is of 5%.
d) The percentage between 240 grams and 415 grams is of: 97.35%.
What is defined by the Empirical Rule?These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:
68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.The first three questions are quite straight forward, while for the fourth we consider the symmetry of the normal distribution, as follows:
95% of 50% of the measures are between 240 grams and 310 grams.99.7% of 50% of the measures are between 310 grams and 415 grams.Hence the total percentage is of:
0.95 x 50 + 0.997 x 50 = 97.35%.
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At the grocery tore 4 pint of ice cream cot $10. 36. How much would 20 pint of ice cream cot?
Answer:$51.08
Step-by-step explanation:
Can some help please?
Find the missing side length.
Answer:
8
Step-by-step explanation:
the side labeled 12 is equal to the sum of both of the sides its parallel to which is 4 and the missing number. Since 4+?=12 that must mean 12-4=? and 12-4=8
The mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. A random sample of 16 students will be selected and the mean number of pets for the sample will be calculated.
What is the mean of the sampling distribution of the sample mean for samples of size 16 ?
a. 1.7
b. 3.2
c. 3.216√ (The fraction 3. 2 over the square root of 16)
d. 1.716√( The fraction 1. 7 over the square root of 16)
The sampling distribution of the sample mean for samples of size 16 is made up of V3.2 pets, which is the same as the average number of pets owned by the population of high school students.
We use sampling distribution because...
The sampling distribution is the probability distribution of a statistic obtained from a larger sample size drawn from a particular population. The sampling distribution of a particular population is the frequency distribution of a set of possible outcomes for a population statistic.The sampling distribution is the probability distribution of a statistic that is created by drawing numerous samples from a particular population. Researchers use sample distributions to simplify the statistical inference process.A large high school's student population has an average of 3.2 pets per student, with a standard deviation of 1.7 pets. A random sample of 16 students will be selected, and the mean number of pets for the sample will be calculated in order to better understand this population.This will give us the sample mean for samples of size 16 and the mean of the sampling distribution.To determine this, we must first determine the standard error of the mean, which is the sample mean's standard deviation. This is calculated by multiplying the sample size (16) by the square root ofthe population standard deviation (1.7 pets), yielding a standard error ofthe mean.Learn more about Sampling distribution refer to :
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Kevin invests money in an account paying simple interest. He invests $40 and no money is added or removed from the investment. After one year, he has $42.80. What is the simple percent interest per year?
Answer:
Step-by-step explanation:
The simple percent interest per year is calculated by dividing the interest earned by the original amount invested, then multiplying by 100 to express the answer as a percentage.
In this case, Kevin earns $42.80 - $40 = $2.80 in interest.
So, the simple percent interest per year is ($2.80 / $40) * 100 = 7%
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths for the third side?.
The possible lengths( in whole elevation) for the third side is
9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.
For the below question, we've a rule from the properties of triangle, the sum of the length of any two sides of the triangle must be lesser than the length of the third side.
Hence
She has two sides of length 18 elevation and 27 elevation
Let the third side = x
Hence
a) 18 27> x
45> x
b) 18 x> 27
x> 27- 18
x> 9
thus, the possible lengths( in whole elevation) for the third side is
elevation< x< 45 elevation
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What is distributive property of equality?.
The distributive property of equality states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.
Distributive Property of equality : Distribution in mathematics means multiplying an element by two or more additive elements in parentheses.
Multiplying the set by the sum of two terms is the same as adding the products of the original set and each term. In other words, multiplying a quantity by the sum of two or more terms is the same as adding the product of original quantity and each term. A simpler way of expressing this is that the equality holds after the distribution of the terms. Let a, b, and c be real numbers. Then: a(b + c) = ab + ac. A more general formulation is to let be natural numbers and a, b₁, b₂, b₃,---, bₙ be real numbers. Then, a( b₁+b₂+ b₃ +---+ bₙ) = ab₁ + ab₂ + ab₃ + ----+bₙ.
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What is the value of the digit 3 in 17039 write in words
The digit 3 in the number 17039 represents the value of 3 in the tens place. The place value system is a way to understand the value of each digit in a number. In this case, each digit in the number 17039 has a specific place value, starting from the rightmost digit, which is the ones place, then the tens place, followed by the hundreds place and so on. In the number 17039, the digit 3 is located in the tens place which represent 3 x 10 = 30. To understand the value of any digit in a number, you can multiply the digit by its corresponding place value.
Answer:
The digit 3 in the number 17039 represents the value of 3 in the tens place
Step-by-step explanation:
M) a car is travelling at 29 mph. if the tires have a diameter of 25 inches, how fast are the cars tires turning? express answer in revolutions per minute
Answer:
To calculate the speed of the car's tires turning, you need to first calculate the circumference of the tire. If the tire has a 25 inch diameter, multiply 25 by 3.1416 to find the tire circumference, which is 78.54 inches. Now, divide 63,360 inches per mile by the tire circumference (78.54) to find the revolutions per mile, which is 803.6. Finally, multiply 803.6 by 29 (the speed of the car in mph) to get the revolutions per minute, which is 23,253.6. Therefore, the car's tires are turning at a rate of 23,253.6 revolutions per minute.
The theater sells two types of tickets: adult tickets for $11 and child tickets for $3.
Last night, the theater sold a total of 464 tickets for a total of $3520. How many adult tickets did the theater sell last night?
The adult tickets sold were 409.
What number of total adult ticket were sold?11a + 3c = 3520
Where "a" is the number of adult tickets sold and "c" is the number of child tickets sold.
We also know that the theater sold a total of 464 tickets, so we can add the following equation:
a + c = 464
We can now use the first equation to solve for one of the variables, and then substitute it into the second equation:
11a + 3c = 3520
3c = 3520 - 11a
c = (3520 - 11a)/3
We know that:
a + c = 464
We can substitute the value of c into this equation:
a + (3520 - 11a)/3 = 464
a + (3520 - 11a) = 464*3
a + 3520 - 11a = 1392
12a = 4912
a = 4912/12
a = 409
So, the theater sold 409 adult tickets last night
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