Instructions:

Select all the correct answers.

Which equations have one solution?


A) 1/3x+3=26+6/19x-23

B) x+3+3x=-3+4x+6

C) 2(1/5+1/4x)-2x=x-1

D) 4. 3x+2. 5-2. 2x+2. 2-2. 1x=0

E) 2(4x+3)+2x=5(2x+3)

F) 2/5x+10+3/5x=2x+5

Answer:

123 purple

Step-by-step explanation:

164/4 = 41

41 = yellow

3 times more purple

41 x 3 = 123

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

Given that, on a recent survey, students were asked if they like to fly and if they can drive.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

From the table

Likes to fly

Row totals = Can drive + Cannot drive

0.32+Cannot drive =0.70

Cannot drive =0.38

Can drive:

Column totals=Likes to fly + Do not likes to fly

0.32 + Do not likes to fly=0.45

Do not likes to fly=0.13

Cannot drive:

Column totals=Likes to fly + Do not likes to fly

0.38 + Do not likes to fly=0.55

Do not likes to fly=0.55-0.38

= 0.17

Row totals = 0.13 + 0.17

= 30

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

To learn more about the relative frequency visit:

brainly.com/question/17101132.

#SPJ1

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

because length is same I hope it will help you please follow me

Answer:

2x2 is 4 but you have 3 apples?

Step-by-step explanation:

Answer:

can you help me in something please?

The function value of given function at x = 3 is 63.

The given function is,

                   \(f(x)=x^{3} +6x^{2} -2x-12\)

We have to calculate function value when \(x=3\).

              \(f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63\)

Thus, the function value of given function at x = 3 is 63.

Learn more about the function value here:

https://brainly.com/question/875118

The point where the lighthouse beam meets the shoreline is moving along the shoreline at a rate of (2π radians / 13 seconds) * 1300 meters per second when the beam meets the shoreline at a point 1300 meters from the lighthouse.

To determine how rapidly the point where the lighthouse beam meets the shoreline is moving along the shoreline, we can use the concept of angular velocity.

Given that the lighthouse beam makes a full turn every 13 seconds, the angular velocity can be calculated as:

Angular velocity = (2π radians) / (time for one full turn)

In this case, the time for one full turn is 13 seconds, so the angular velocity is:

Angular velocity = (2π radians) / (13 seconds)

Next, we can relate the angular velocity to the linear velocity using the formula:

Linear velocity = Radius * Angular velocity

The radius of the circular path made by the lighthouse beam is the distance between the lighthouse and the shoreline, which is 200 meters.

Substituting the known values into the formula, we have:

Linear velocity = 200 meters * [(2π radians) / (13 seconds)]

To find the linear velocity when the beam meets the shoreline at a point 1300 meters from the lighthouse, we need to find the linear velocity when the radius is 1300 meters.

Using the proportion:

Linear velocity at 200 meters : Linear velocity at 1300 meters = 200 meters : 1300 meters

We can calculate the linear velocity at 1300 meters as:

Linear velocity at 1300 meters = (Linear velocity at 200 meters) * (1300 meters / 200 meters)

Substituting the value of the linear velocity at 200 meters, we have:

Linear velocity at 1300 meters = (200 meters * [(2π radians) / (13 seconds)]) * (1300 meters / 200 meters)

Simplifying the expression, we get:

Linear velocity at 1300 meters = (2π radians / 13 seconds) * 1300

To know more about angular velocity refer here:

https://brainly.com/question/32217742#

#SPJ11

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

Learn more about Triangle

https://brainly.com/question/17335144

#SPJ1

Answer:

The domain of \(f(x)\) is \(Dom \{f(x)\} = \mathbb{R}-\{1\}\).

Step-by-step explanation:

Let \(f(5\cdot x ) = \frac{x-5}{5\cdot x-1}\), which is rearranged by algebraic means:

1) \(f(5\cdot x ) = \frac{x-5}{5\cdot x-1}\)  Given

2) \(f(5\cdot x) = \frac{x\cdot 1 - 5}{5\cdot x -1}\) Modulative property

3) \(f(5\cdot x) = \frac{5^{-1}\cdot (5\cdot x)-5}{5\cdot x -1}\) Existence of multiplicative inverse/Associative and commutative properties.

4) \(f(x) = \frac{5^{-1}\cdot x - 5}{x-1}\) Composition of functions.

5) \(f(x) = \frac{(5^{-1}\cdot x-5)\cdot (5\cdot 5^{-1})}{x-1}\) Existence of multiplicative inverse/Associative property.

6) \(f(x) = \frac{(x-25)\cdot 5^{-1}}{x-1}\)  Commutative, associative and distributive properties/\(a\cdot (-b) =-a\cdot b\)/Definition of subtraction

7) \(f(x) = (x-25)\cdot [5^{-1}\cdot (x-1)^{-1}]\) Definition of division/Associative property

8) \(f(x) = (x-25)\cdot (5\cdot x -5)^{-1}\)  \(a^{c}\cdot b^{c} = (a\cdot b)^{c}\)/Distributive property/\(a\cdot (-b) =-a\cdot b\)/Definition of subtraction

9) \(f(x) = \frac{x-25}{5\cdot x - 5}\) Definition of division/Result

The domain of a polynomial-based rational function consists in all values of the real set except values where denominator equals zero. The value of \(x\) such that rational function becomes undefined is:

1) \(5\cdot x - 5 = 0\)  Given

2) \(5\cdot (x-1) = 0\) Distributive property

3) \([5\cdot (x-1)]\cdot 5^{-1} = 0\cdot 5^{-1}\) Compatibility with multiplication

4) \((x-1)\cdot (5\cdot 5^{-1}) = 0\) Commutative and associative properties/\(a\cdot 0 = 0\)

5) \(x-1 = 0\) Existence of multiplicative inverse/Modulative property

6) \(x+[1+(-1)] = 1+0\) Compatibility with addition/Commutative and associative properties

7) \(x = 1\) Existence of additive inverse/Modulative property/Result

Hence, the domain of \(f(x)\) is \(Dom \{f(x)\} = \mathbb{R}-\{1\}\).

Answer:

1.06 or 1 1/15

Step-by-step explanation:

So, basically what we need to do is reverse the steps.

So now it goes like this:

We start with 1 5/6(1.83)

Then we add 7/18(0.389)

Then we multiply by 1 1/5(1.2)

Then finally, we divide by 2 1/2(2.5)

This will get us our answer. So:

1.83+0.389 = 2.219

2.219*1.2 = 2.6628

2.6628/2.5 = 1.06

This is 1.06 in decimal form, or 1 1/15 in fraction form

Hope this helps!

This can also be double checked, if you plug it into the orginal equation:

1.06, then you multiply by 2.5: 1.06*2.5= 2.6628

2.6628, then you divide by 1.2: 2.6628/1.2= 2.219

Then finally, 2.219 and subtract 7/18: 2.219-0.389= 1.83

So we have double checked, and our answer is still 1.06.

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

angle 2 is 104

angle 9 is 66

angle 10 is 114

angle 7 is 76

Step-by-step explanation:

Given the side length of the square = 3 mi

The perimeter of the square = 4 times the length of one side

So, the perimeter = 4 x 3 = 12 mi

So, the answer will be perimeter = 12 mi

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}\)

Answer:

(1st answer) 268 divided by 19

Step-by-step explanation:

19x10= 190 iykyk

Answer:

5) z = 2

6) Volume = 729 inches cubed

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The only consecutive integers that satisfy the Pythagorean theorem are 3, 4, and 5.

___

4^2 ≠ 2^2 + 3^2

16 ≠ 4 + 9 . . . . . . . an attempt at applying the Pythagorean theorem to the given numbers fails.

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of months is x.

Set the inequality below:

The smallest whole number is 14

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

No, the use of the binomial distribution may not be appropriate for calculating the probability that exactly six 18-20 year olds consumed alcoholic beverages in a random sample of ten.

The binomial distribution assumes that the trials are independent, there are only two possible outcomes (success or failure), and the probability of success remains constant throughout the trials. In the case of consuming alcoholic beverages, the assumption of independence may not hold, as one person's decision to consume alcohol may influence another person's decision. Additionally, the probability of consuming alcohol may not remain constant throughout the sample, as some people may have stronger tendencies or preferences for drinking than others.

A more appropriate distribution for this scenario may be the hypergeometric distribution, which takes into account the finite population size (i.e. the total number of 18-20 year olds from which the sample is drawn) and the varying probabilities of success (i.e. the varying number of individuals in the population who consume alcohol).

Learn more about probability here:

brainly.com/question/30034780

#SPJ11

Answer:

15

Step-by-step explanation:

Red counters = 35

Number of green counters = x

P(picking a green counter) = 0.3

Probability = required outcome / Total possible outcomes

Required outcome = number of green counter

Total possible outcomes = green counter + red counter

Hence,

0.3 = x / (35+x)

0.3(35 + x) = x

10.5 + 0.3x = x

10.5 = x - 0.3x

10.5 = 0.7x

x = 10.5 / 0.7

= 15

Number of green counters = 15

The values of x and y for the angles are 6 and 9 respectively.

angles m∠2 and m∠5 are alternate angles and are equal so;

7x - 10 = 6x - 4

7x - 6x = 10 - 4 {collect like terms}

x = 6

m∠5 = 7(6) - 10 = 32°

m∠6 and (m∠5 + m∠4) are supplementary angles and they sum up to 180° so;

47° + [32° + (11y + 2)] = 180°

47° + 32° + 2° + 11y = 180°

81° + 11y = 180°

11y = 180° - 81° {subtract 81° from both sides}

11y = 99

y = 99/11 {divide through by 11}

y = 9

Therefore, the values of x and y for the angles are 6 and 9 respectively.

Know more about angle here:https://brainly.com/question/17972372

#SPJ1

No, the tangents cannot intersect outside the circle.

When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.

tangent

a tangent is the line drawn from an external point and passes through a point on the curve.

One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

curve

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

Learn more about tangent here :-

https://brainly.com/question/19064965

#SPJ4

Answer:

10

Step-by-step explanation:

20/2=10

Answer:

10

Step-by-step explanation:

20÷2=10

twenty divided by two is ten

Answer:

549.5 cm³

Step-by-step explanation:

___________________________________________________________

FORMULA USED IN THE QUESTION :-

Volume of a cylinder whose height is 'h' and radius is 'r' = \(\pi \times r^2 \times h\)

___________________________________________________________

According to the question ,

Height of cylinder (h) = 7 cm

Radius of cylinder (r) = 5 cm

Volume of cylinder = \(\pi \times 5^2 \times 7 = 3.14 \times 25 \times 7 = 549.5 \: cm^3\)

Answer:

Total area of Dartboard = 8×12 = 96

Area of blue squares = 3 × 2² = 12

Probability( hitting blue squares )= 12/96 = 1/8

The probability of getting at least one even number and at least one odd number is (3/4).

What is the probability of getting an even number in a single-dice throw?

If we throw a die, we have six possible outcomes: {1,2,3,4,5,6}. Now:

P(E) = Favourable outcomes / Total outcomes

     = 3/6

     = 1/2

As per the question, we need at least one even number and one odd number in three throws. We know that for independent events:

P(A∩B∩C) = P(A)*P(B)*P(C)

Let A be the event of getting an even number and B be the event of getting an odd number on the dice.

P(A) = P(B) =  1/2

So, we need to have events occur like:

ABA or ABB (with all their possible combinations)

So, P(A∩B∩A) = (1/2)*(1/2)*(1/2) = 1/8

P(A∩B∩B) = (1/2)*(1/2)*(1/2) = 1/8

Possible number of combinations of ABA = 3

Possible number of combinations of ABB = 3

So, required probability = 3*(1/8) + 3*(1/8)

= 6/8

= 3/4                          

So, the Required probability is (3/4)

To know more about probability, go to:

https://brainly.com/question/24756209

#SPJ4