Simplify the expression using properties of operations 7 1/3t-(10 2/3t-6)

Answer:

\(\frac{3}{7}\) <  \(\frac{3}{5}\)

Step-by-step explanation:

\(\frac{3}{7}\) ? \(\frac{3}{5}\)

We have to get both fractions with the same denominator to compare them.

\(\frac{3}{7}\) = \(\frac{15}{35}\)

\(\frac{3}{5}\) = \(\frac{21}{35}\)

\(\frac{15}{35} < \frac{21}{35}\)

So, \(\frac{3}{7}\) <  \(\frac{3}{5}\)

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5, (use the slope formula.)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

For K = 5.3, the line segments are parallel.

We have endpoints of segment MN have coordinates (0, 0), (5, 1) and  endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).

We have to determine the value of k that makes these segments parallel.

For lines to be parallel - slope of line 1 should be equal to slope of line 2.

m(1) = m(2)

According to question, we have -

Coordinates of M = (0, 0)

Coordinates of N = (5, 1)

Therefore, the slope of line MN = \(\frac{1 -0}{5-0}\) = 1/5

Coordinates of A = (11/2, 21/4)

Coordinates of B = (-21/4, k)

Therefore, the slope of line AB =

\($\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }\)  =  \($\frac{k - \frac{21}{4} }{\frac{1}{4} }\)  =  \($\frac{\frac{4k - 21}{4} }{\frac{1}{4} }\)  = 4k -21

Now, for the lines to be parallel -

m(MN) = M(AB)

4k - 21 = \(\frac{1}{5}\)

5(4k - 21) = 1

20k - 105 = 1

20k = 106

k = 5.3

Hence, for K = 5.3, the line segments are parallel.

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Answer:

35%

Step-by-step explanation:

So 63 out of 180 cans were sold. Write that as a fraction (63/180) and then convert that to a decimal by finding the quotient of 63 and 180 and convert the resulting decimal into a percent.

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

mooltiplication

The solution is, Multiplication is a cows favorite type of math.

Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.

here, we have,

In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.

According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.

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Answer:

d

Step-by-step explanation:

Answer:

it is A

Step-by-step explanation:

x=(x+3)² - 2

what grade are u doing

Answer:

 2x/3 - 1/6=x/2

Hope that helps.

Step-by-step explanation:

Answer: 3.3

x.   = 1.5

220      100

The measure of ∠ADC is equal to 180 degrees.

The measure of ∠ABC is equal to 90 degrees.

In Mathematics and Geometry, a circle simply refers to a closed, two-dimensional (2D) curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the measure of angle ADC (∠ADC) is equal to 180 degrees.

In conclusion, the angle subtended by chord AB at point B has a measure of 90 degrees.

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The drawings that best describe the way the stars appear to move in the Southern Hemisphere on the horizon is:

When in the Southern Hemisphere, the drawings would appear to move upwards when moving North. The stars would also appear to move down when moving to the South as shown in A.

The East would show drawings moving towards the right as shown in E and the West would show stars appearing to move to the left which is shown with Drawing F.

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-20-55=-75-5=-80

-80-2=-82-1=-83

-83-27=-110

hope it helps!

Answer:

3/8 of the total distance.

Step-by-step explanation:

After Saturday = 8/8 - 3/8 = 5/8 of distance left.

Sunday = 5/8 x 3/5 = 3/8 distance.

Hope this helps!

When Kayla was instructed to rewrite the polynomial expression x2 + 6x + 9, she wrote \(x^2+2 x-3+3^2=(x+3)^2\).

Factor \($ x^2+6 x+9: \quad(x+3)^2$\)

\($$x^2+6 x+9$$\)

Rephrase in the manner of \($a^2+2 a b+b^2$\) :

\($9=3^2$\)

\($6 x=2 x \cdot 3$\\$=x^2+2 x \cdot 3+3^2$\)

Using the Perfect Square Formula : \($\quad a^2+2 a b+b^2=(a+b)^2$\)

\($$\begin{aligned}& x^2+2 x-3+3^2=(x+3)^2 \\& =(x+3)^2\end{aligned}$$\)

An expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables is said to be a polynomial. Variables, which are sometimes known as indeterminates, and coefficients make up a polynomial. x2 4x + 7 is an illustration of a polynomial of one uncertain x.

An expression with a single or a number of terms is referred to as a polynomial. The words "polynomial" and "nomial," which are two distinct phrases, are the origins of the term. Nominal is another word for many, while poly is another word for many. An algebraic expression with two or more algebraic terms is referred to as a polynomial.

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a. The vertex form of its equation is,  y = a(x-1)² + 16

b. The value of x is, 7

c. The equation of the axis of symmetry is,  x = 1

d. The domain and range are respectively, all real values of x and y ≤ 16

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

a. The vertex form of a quadratic equation is given by y = a(x-h)²+ k, where (h, k) is the vertex of the parabola.

From the given information, we know that the vertex is at (1, 16), so the equation in vertex form is y = a(x-1)² + 16.

b. We are given that the parabola has one root at (-5, 0) and another root at (x, 0). Since the parabola is symmetric about the axis of symmetry, the x-coordinate of the vertex must be the midpoint of -5 and x. Using the midpoint formula, we get:

(-5 + x)/2 = 1

Solving for x, we get x = 7.

c. The axis of symmetry of a parabola is the vertical line that passes through the vertex. In this case, the vertex is at (1, 16), so the equation of the axis of symmetry is x = 1.

d. The domain of a quadratic function is all real numbers, since the function is defined for all values of x. The range of this function is y ≤ 16, since the vertex is at (1, 16) and the parabola opens downward.

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Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Please Like!

Answer:

30

Step-by-step explanation:

25+35= 60

60/2=30

Answer: 30

Step-by-step explanation:

The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.

The equation below is one of the more commonly understood definitions of the average: \(Average =\) \(\frac{Sum}{Count}\)

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

Answer:

ughhhhh

Step-by-step explanation:

To calculate the probability of John drawing a chocolate cookie on his first draw and an oatmeal cookie on his second draw without replacement, we need to consider the total number of cookies and the number of favorable outcomes.

Total number of cookies = 5 (chocolate) + 10 (oatmeal) = 15

For the first draw, John has 5 chocolate cookies out of 15 total cookies, so the probability of drawing a chocolate cookie on the first draw is 5/15.

After the first draw, there will be 14 cookies remaining in the jar (4 chocolate and 10 oatmeal).

For the second draw, John wants to draw an oatmeal cookie. Out of the 14 remaining cookies, there are 10 oatmeal cookies. So the probability of drawing an oatmeal cookie on the second draw, given that a chocolate cookie was drawn on the first draw, is 10/14.

To calculate the overall probability, we multiply the probabilities of each individual draw:

Probability = (5/15) * (10/14) = 50/210 = 5/21

Therefore, the probability that John gets a chocolate cookie on his first draw and an oatmeal cookie on his second draw is 5/21.

Answer: The amount of the mark up is 20$

Step-by-step explanation:

find 50 percent of the 40

50 percent is the same as 0.5

0.5*40=20

Answer:

a. A two way table is presented as follows;

\(\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}\)

ii) The percentage of students in the study that have myopia are approximately 24.867%

iii) The percentage of children living in Australia with myopia are approximately 3.2258%

The percentage of children living in Singapore with myopia are approximately 29.14%

b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore

c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children

The study does not suggests that more time spent outdoors is associated with a greater risk of myopia

d. The advantage is to reduce associated variables the generate more accurate findings or result

Step-by-step explanation:

a. A two way table is presented as follows;

\(\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}\)

ii) The percentage of students in the study that have myopia are;

(4 + 183)/(124 + 628) × 100 ≈ 24.867%

iii) The percentage of children living in Australia with myopia is given as follows;

4/124 × 100 ≈ 3.2258%

The percentage of children living in Singapore with myopia is given as follows;

183/628 × 100 ≈ 29.14%

b. The data for the time spent reading and writing is presented as follows;

                    Number of children  \({}\)  Mean     Standard deviation

Australia        109       \({}\)                      20.8        13.9

Singapore \({}\)    611                               17.8          8.8

The data for the time spent outdoors is presented as follows;

                    Number of children  \({}\)  Mean     Standard deviation

Australia        102       \({}\)                       13.75        1.02

Singapore \({}\)    586                               3.05        0.12

From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore

c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore

Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children

Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia

d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results

Answer:

(2 (y - 2 x^2 + 5))

Step-by-step explanation:

Simplify the following:

2 y - x^2 - 3 x^2 + 10

Grouping like terms, 2 y - x^2 - 3 x^2 + 10 = 2 y + (-x^2 - 3 x^2) + 10:

2 y + (-x^2 - 3 x^2) + 10

-x^2 - 3 x^2 = -4 x^2:

2 y + -4 x^2 + 10

Factor 2 out of 2 y - 4 x^2 + 10:

Answer: (2 (y - 2 x^2 + 5))

Answer:

(2 (y - 2 x^2 + 5))

The NBA draft is an important event for teams to improve their roster and build for the future.

The NBA draft is an annual event where the teams in the National Basketball Association (NBA) select new players to join their team.

The order in which the teams select players is determined by a lottery, with the worst-performing teams from the previous season having a higher chance of getting a higher draft pick.

The draft consists of two rounds, with each team having one pick per round.

Teams can also trade their draft picks with other teams before or during the draft. The selected players are then signed to a contract and can begin playing for their new team in the upcoming NBA season.

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Answer:

3

Step-by-step explanation:

m<3 is the only interior adjacent angle. It is interior because it is inside a triangle, and it is adjacent because it is touching another angle. Hence, < 3 is the  adjacent interior angle.

We were given:

We proceed, we have:

Therefore, for the limit is 1/4

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

C

Step-by-step explanation:

According to Math.way C would be the correct answer :)

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

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Answer:

C.C-57,300

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I am in 12th grade and make straight A;s trust me