what is 34.16 as a fraction​

\(\large\underline{\sf{Solution-}}\)

Given:

\(\sf\longmapsto \dfrac{1}{2}x+2 \geq x-1, x \in \mathbb{N}\)

Multiplying both sides by 2, we get:

\(\sf\longmapsto2\bigg( \dfrac{1}{2}x+2\bigg) \geq 2(x-1)\)

\(\sf\longmapsto x+4 \geq 2x-2\)

\(\sf\longmapsto x+4+-x\geq 2x-2-x\)

\(\sf\longmapsto 4\geq x-2\)

\(\sf\longmapsto 4+2\geq x-2+2\)

\(\sf\longmapsto 6\geq x\)

\(\sf\longmapsto x\leq 6, x\in\mathbb{N}\)

Therefore:

\(\sf\longmapsto x=\{1,2,3,4,5,6\}\ \ \red{Ans.}\)

Answer: the answer is 15

Step-by-step explanation:

Answer:

2x+y=−7

Step-by-step explanation:

Answer:

None of the answers are right the answer is 15

Step-by-step explanation:

25 plus 1 equals 26, and 26 minus 14 equals 12, and 12 plus 3 equals 15, so I don't think that any of the answers are correct.

Answer:

The answer is 15 (none on option)

Step-by-step explanation:

25+1-14+3

= (25+1+3)-14

= (26+3)-14

= 29-14

= 15

R is right-total if and only if R−1 is left-total since there exists s ∈ S such that (s,t) ∈ R−1, since (s,t) ∈ R−1 if and only if (t,s) ∈ R and there exists t ∈ T such that (s,t) ∈ R, since (t,s) ∈ R if and only if (s,t) ∈ R−1 where R is a relation from S to T

Recall that a relation R from set S to set T is right-total if every element of S is related to some element of T, that is, for every s ∈ S, there exists t ∈ T such that (s,t) ∈ R.

On the other hand, a relation R from S to T is left-total if every element of T is related to some element of S, that is, for every t ∈ T, there exists s ∈ S such that (s,t) ∈ R.

First, suppose that R is right-total. Then, for any s ∈ S, there exists t ∈ T such that (s,t) ∈ R.

This means that for any t ∈ T, there exists s ∈ S such that (s,t) ∈ R−1, since (s,t) ∈ R−1 if and only if (t,s) ∈ R. Hence, R−1 is left-total.

Conversely, suppose that R−1 is left-total. Then, for any t ∈ T, there exists s ∈ S such that (s,t) ∈ R−1. This means that (t,s) ∈ R for some s ∈ S.

Hence, for any s ∈ S, there exists t ∈ T such that (s,t) ∈ R, since (t,s) ∈ R if and only if (s,t) ∈ R−1. Therefore, R is right-total.

In summary, we have shown that R is right-total if and only if R−1 is left-total.

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Answer:

x = 55

Step-by-step explanation:

the inscribed angle x is half the measure of its intercepted arc, that is

x = \(\frac{1}{2}\) × 110 = 55

Option B is the correct answer. corresponding sides have a proportional ratio is 1/3 of the sss theorem.

If two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional. This is called the SSS Similarity Theorem.

when the three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar, it is also called SSS Similarity Theorem.

SSS Theorem png

If  ABYZ=BCZX=ACXY , then ΔABC∼ΔYZX .

Considering triangles have 3 sides, having each side has a 1/3 ratio will make it congruent to the other triangle.

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Answer:

the constant is 3 the coefficant is y and the varible is a and the factors of 9 are 18 and 27

Step-by-step explanation:

Answer:

The constant is 3

The coefficient is 12

The variables are both A and Y.

Disclaimer: I'm not sure about this next one, but I believe it's right.

9x factors are 3x, 1, and 9x.

If you wanted me to factor it, then it'd be something like 3x(3)

Step-by-step explanation:

A constant is a number that is by itself. Variables can't be constants. In this case, the only number that is by itself, that isn't a variable is 3. Therefore, 3 is the constant.

A coefficient is a number that accompanies the variable. Normally in a math equation, a variable is multiplied by a number. In this case, A is being multiplied by 12, so 12 is the coefficient.

The variable is the letter that represents any number. In this case, there are two variables, A and Y. They both represent numbers that can differ. So, A and Y are the variables.

The factors of 9x are 3x, 3, 1x, 1, 9x, and 9.

9 times 1x is 9x, 9x times 1 is also 9x.

3 times 3x is 9x, and 3x times 3 is again, 9x.

Sorry if I was wrong about the 4th one.

Answer:

u is 4 and v is 18

Answer:

v = 18 ; u = 4

Step-by-step explanation:

In a parallelogram , the diagonals bisect each other . So,

v/3 = 6 ................ eqn.1

and

2u + 2 = 5u - 10 ................. eqn.2

From eqn.1,

v/3 = 6

=> v = 6×3 = 18

From eqn.2,

2u + 2 = 5u - 10

=> 5u - 2u = 10 + 2

=> 3u = 12

=> u = 4

Answer:

20,000

Step-by-step explanation:

1,000/ 5% = 20,000

Answer:

The 2nd table.

Step-by-step explanation:

It is the only one that makes sense.

Please mark me brainliest I need it!!!!

Answer:

Step-by-step explanation:

1) c²+d² is not factorable

2) e²/25 - f²/36 = e²/5² - f²/6² = (e/5)² - (f/6)² = (e/5 + f/6) (e/5 - f/6)

3) \(\sqrt{x-4}\) nothing can be done

The volume of the solid s solved to be 216 cubic m

Volume is calculated using the three dimensions, hence to talk about volume we have a 3 dimensional perspective.

The formula for volume is given as the product of length, width, and depth or thickness.

For the solid we divide into two and solve for the volumes separately then add together

Section 1

= 10 x 6 x 2

= 120 cubic m

Section 2

= 6 x 4 x (6 - 2)

= 96 cubic m

Volume of the solid

= 96 + 120

= 216 cubic m

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If there were 6 people in the lifeboat instead of 4, the water would last for 8 days.

To calculate how long the water would have lasted if there were 6 people in the lifeboat instead of 4, we can assume that the rate of water consumption remains constant per person.

Let's denote the original consumption rate per person as C, and the number of days the water would last for 4 people as D.

We can set up a proportion to find the new number of days, X, for 6 people:

4 people consume water for 12 days (4 * 12 = 48 "person-days" of water consumption).

6 people would consume water for X days (6 * X = 6X "person-days" of water consumption).

Since the rate of water consumption per person remains the same, the proportion can be expressed as:

4 * 12 = 6 * X

48 = 6X

To solve for X, divide both sides of the equation by 6:

48/6 = X

X = 8

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(I) \(-16y = 22 + 6x\)

(II) \(-11y -4x = 15\)

Get x alone in equation (I)

\(-16y = 22 + 6x\\6x = -16y - 22\\x = -\frac{16y}{6} - \frac{22}{6}\\x = - \frac{8y}{3} - \frac{11}{3}\)

Insert in equation (II)

\(-11y - 4(-\frac{8y}{3} - \frac{11}{3}) = 15\\-11y + \frac{32y}{3} + \frac{44}{3} = 15\\-11y \cdot 3 + \frac{32y}{3} \cdot 3 + \frac{44}{3} \cdot 3 = 15 \cdot 3\\-33y + 32y + 44 = 45\\-33y + 32y = 45 - 44\\-y = 1\\y = -1\)

Insert \(y = -1\) in equation (I)

\(x = -\frac{8 \cdot (-1)}{3} - \frac{11}{3}\\x = \frac{8}{3} - \frac{11}{3}\\x = -1\)

Answer:

Step-by-step explanation:

Answer:

On the map, the endpoint of the string of buoys are located at (6,18) and (18,34). The midpoint of the string is located at (12,26). Each anchor is located at the midpoint of one of the two halves of the string of  buoys. We can illustrate this using a sketch like this

The first anchor, A1, is located at the midpoint of (6,18) and (12,26):

(6+12/2, 18+26/2)= (9,22)

The second anchor, A2, is located at the midpoint of (12,26) and (18,34) :

(12+18/2, 26/34/2) = ( 15,30)

Step-by-step explanation:

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

trailing zeros can be ommited and have use in the real value, unless you are separating digits in a number

Step-by-step explanation:

trailing zeros can be ommited and have use in the real value, unless you are separating digits in a number

Answer:

A. 3791 ft.

Step-by-step explanation:

I am assuming the distance walked = 1000 ft.

Consider the large triangle:

tan 25 = x / (1000 + y),    where y is the length of the base of small triangle.

Now consider the small triangle(inside the large one):

tan 28 = x/y

From the last  equation x = y tan28

So substituting for x in the  first equation:

tan25 = y tan28 / (1000 + y)

1000tan25 + y tan 25 = y tan 28

y (tan28 - tan25) = 1000 tan25

y =  1000 tan25 / (tan28 - tan25)

= 7129.9 ft

So x = 7129.9 * tan 28

= 3791.04 ft.

To solve the equation for x and y, we need to equate the corresponding elements on both sides of the equation and then solve for x and y separately.

Given equation: [-3 + 2x, 2, 4, -7y] = [x - 4, 2, 4, -35]

Step 1: Equate the corresponding elements:

Equate the first elements: -3 + 2x = x - 4

Equate the second elements: 2 = 2

Equate the third elements: 4 = 4

Equate the fourth elements: -7y = -35

Step 2: Solve for x and y:

Solving the first equation:

-3 + 2x = x - 4

Step 2.1: Move x terms to one side and constants to the other side:

2x - x = -4 + 3

Step 2.2: Simplify:

x = -1

Now we have the value of x as x = -1.

Solving the fourth equation:

-7y = -35

Step 2.3: Divide both sides by -7 to isolate y:

y = -35 / -7

Step 2.4: Simplify:

y = 5

Now we have the value of y as y = 5.

Step 3: Final solution:

x = -1

y = 5

So, the solution to the given equation for x and y is x = -1 and y = 5.

learn more about To solve the equation for x and y, we need to equate the corresponding elements on both sides of the equation and then solve for x and y separately.

Given equation: [-3 + 2x, 2, 4, -7y] = [x - 4, 2, 4, -35]

Step 1: Equate the corresponding elements:

Equate the first elements: -3 + 2x = x - 4

Equate the second elements: 2 = 2

Equate the third elements: 4 = 4

Equate the fourth elements: -7y = -35

Step 2: Solve for x and y:

Solving the first equation:

-3 + 2x = x - 4

Step 2.1: Move x terms to one side and constants to the other side:

2x - x = -4 + 3

Step 2.2: Simplify:

x = -1

Now we have the value of x as x = -1.

Solving the fourth equation:

-7y = -35

Step 2.3: Divide both sides by -7 to isolate y:

y = -35 / -7

Step 2.4: Simplify:

y = 5

Now we have the value of y as y = 5.

Step 3: Final solution:

x = -1

y = 5

So, the solution to the given equation for x and y is x = -1 and y = 5.

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The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

6 cups

Step-by-step explanation:

When two things are directly proportional (e.g. y and x), we can model the relationship with the direct variation equation, which is

y = kx, where

Step 1:  To find k, we can allow y to represent Jackie's total revenue from selling lemonade ($9) and x to represent the quantity of cups of lemonade sold ($3):

9 = 3k

k = 3

Step 2:  Now that we've found the constant of proportionality, we can plug in 18 for y and 3 for k, allowing us to solve for x:

18 = 3x

6 = x

Thus, in order for Jackie to earn $18, she must sell 6 cups in all.

Answer:

\(A=28.1\ cm^2\)

Step-by-step explanation:

The area of a circular sector with a central angle θ and radius r is given by:

\(\displaystyle A=\frac{1}{2}r^2 \theta\)

Note: The angle must be in radians.

We need to find both the radius and the angle in radians.

Diameter = 9.6 cm

Radius r=Diameter/2=4.8 cm

Angle in radians= Angle in degrees*π / 180

θ = 140*π / 180 = 2.4435 rad

Now we calculate the area:

\(\displaystyle A=\frac{1}{2}(4.8)^2 2.4435\)

\(\boxed{A=28.1\ cm^2}\)

Answer:

252 inches

hope u got it correct

Answer:

21 in

Step-by-step explanation:

The actual length is 21 ft = 21 × 12 = 252 in

The model is \(\frac{1}{12}\) of the actual size , then

model length = 252 ÷ 12 = 21 in

Answer:

\(\Huge\boxed{B.x=12}\)

Step-by-step explanation:

Hello There!

They have given us each measure of a triangle's angles

Remember all of the angles in a triangle add up to equal 180

so we can use this equation to solve for x

180 = 2x + 5 + 6x - 5 + 7x

step 1 combine like terms

2x+6x+7x=15x

5-5=0

now we have 180 = 15x

step 2 divide each side by 15

180/15=12

15x/15=x

we're left with x = 12

Answer:

x = 5

Step-by-step explanation:

Too long to explain on phone

Answer:

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

The standard form of the equation of the ellipse is (x - 2)² / 4 + (y - 1)² / 9 = 1 with foci (4, 1) and (0, 1) and minor axis of length 6

The midpoint of the segment connecting the foci:

center = ((4+0)/2, (1+1)/2) = (2,1)

The distance between the foci is 2c, where c is the distance from the center to each focus.

Since the foci are (4,1) and (0,1), we have c = 2.

The length of the minor axis is 2b, where b is the distance from the center to each endpoint of the minor axis.

Since the length of the minor axis is 6, we have 2b = 6, so b = 3.

The distance between the center and each endpoint of the minor axis is b, so we have (2,1) ± (3,0).

Thus, the endpoints of the minor axis are (5,1) and (-1,1).

Since the minor axis has length 6, we have b = 3.

To find a, we can use the Pythagorean theorem:

so a²+ 3² = 2², which gives a² = 4.

Therefore, a = 2.

Substituting these values into the equation above, we get:

(x - 2)² / 2²+ (y - 1)² / 3² = 1

Simplifying, we have:

(x - 2)² / 4 + (y - 1)²/ 9 = 1

Hence,  the standard form of the equation of the ellipse is (x - 2)² / 4 + (y - 1)² / 9 = 1.

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Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.

To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.

Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.

It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.

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The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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