If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Please show all work and not just the answers.

Answer:

15

Step-by-step explanation:

10/2 + 3 + 6 + 3/3

= 5 + 3 + 6 + 1

= 15

15 is the answer.

Answer:

14+3*x = 10-6*x

Step-by-step explanation:fourteen more means 14+ 3 times a number means 3 multiplied by a number x is the number of your choice and 10 less means 10 - and 6 times the number means 6*x

Answer:

Step-by-step explanation:

(-2+3)/2 = 1/2

(10 + (-6))/2 = 4/2 = 2

(0.5, 2) are the coordinates of midpoint XY

Answer: 0.5 gallon

Step-by-step explanation:

From the question, we are informed that Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts.

It should be noted that 4 quarts equals 1 gallon. Therefore, 14 quarts = 14/4 = 3.5 gallons

Container A = 3 gallons

Container B = 3.5 gallons

The difference will be:

= 3.5 gallons - 3 gallons

= 0.5 gallon

Answer:

The answer is "Option a and Option d".

Step-by-step explanation:

In the given-question, the numbering of the choices was missing so, we define the number after that we define its explanation:  

In question 1, the translations were only the axis, which moves in the length of a segment, that doesn't change. Even so, the graph shifts only by growth, that's why the E'F 'duration will be the same as the EF length, which equals to "5 units".

In question 2, both JK and MN shifts to the left two units, and there would be no difference throughout the space between them, that's why the choice "d" will be correct.

Answer:

[tex]b=3A-a-c[/tex]

Step-by-step explanation:

[tex]$A=\frac{a+b+c}{3} $[/tex]

Multiply both sides by 3

[tex]$3A=a+b+c $[/tex]

Add [tex]-b-c[/tex] both sides

[tex]3A-a-c=b[/tex]

[tex]b=3A-a-c[/tex]

Answer:

There would be 11 gallons of gas left!

Step-by-step explanation:

Answer:

after 2 hours = 11

Step-by-step explanation

what do you mean by t?

Answer:

12-16x

Step-by-step explanation:

4(3-4x)

12-16x

The expression 4 (3 - 4x)​ is simplified as 12 - 16x.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

⇒ 4 (3 - 4x)​

Simplify the expression, then the expression will be

⇒ 4 (3 - 4x)​

⇒ 4 · 3 - 4 · 4x

⇒ 12 - 16x

The expression 4 (3 - 4x)​ is simplified as 12 - 16x.

More about the simplification link is given below.

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Answer:

Step-by-step explanation:

The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;

[tex]B[/tex][tex](X, Y) =[/tex] [tex](\dfrac{ax_1+bx}{b+a}, \dfrac{ay_1+by}{b+a})[/tex]

Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4

From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4

From the coordinates above;

[tex]X = \dfrac{ax_1+bx}{b+a}[/tex]

[tex]4 = \dfrac{3(12)+4x}{4+3}\\\\4 = \dfrac{36+4x}{7}\\\\\\4*7 = 36+4x\\28 = 36+4x\\28-36 = 4x\\-8 = 4x\\x = -8/4\\x= -2[/tex]

Similarly to get y;

[tex]1 = \dfrac{3(5)+4y}{4+3}\\\\1 = \dfrac{15+4y}{7}\\\\\\1*7 = 15+4y\\7 = 15+4y\\7-15 = 4y\\-8 = 4y\\y= -8/4\\y= -2[/tex]

Hence the value of x is -2 and y is -2.

Answer:

39

Step-by-step explanation:

28 + 11 = x

39 = x

Check your answer:

39 - 11 = 28

28 = 28

Answer:

28 this is because it's the expression of salad

Answer:

Below

Step-by-step explanation:

A geometric sequence is a sequence where you keep multiplying a term by the ratio to generate the next one.

The first term is 3/4

Let n0 = 3/4

The next term is n1.

To get n1 we must multiply n0 by the ratio 4.

● n1 = n0×4

This formula gives us the second term. We need a general one that can generate all the terms of the sequence.

Let S(n) be a term of this sequence.

To get n we have multiplied n0 (the first term) by 4 (the ratio) one or many times. Precisely, n times.

So:

● S(n )= n0 ×4^n

no is 3/4

● S(n)= (3/4) × 4^n

This formula generates any term from this geometric sequence. If you want to calculate the 77th term then just replace n with 77.

Answer:

Step-by-step explanation:

To find the next term, multiply the previous term by constant ratio

a₁ = 3/4

[tex]a_{2}=\frac{3}{4}*4=3*1 = 3\\[/tex]

a₃ = a₂ * constant ratio = 3 * 4 = 12

a₄ = a₃ * constant ratio = 12 *4 = 48

Geometric sequence :

3/4, 3,12, 48, 192,.......

Answer:

Football

Categorical variables:

Type of game= Ball game

Governing body= Federation Internacionale de Football Association (FIFA)

Numerical Variables

Number of players in each team= 11

Number of teams involved= 2

Step-by-step explanation:

A categorical variable is data about a subject that tells its category, type or description. It answers the what, when, why, which, and where questions. The game of football is categorized as a ball game and the governing body that supervises it is FIFA. This answers the question of 'Which governing body supervises the game of football?

Numerical variables give details of a subject in terms of figures, or measurements. To answer the question of how many people play the game of football in each team, we state that there are 11 players and the number of teams that can play at the same time is 2.

Answer and Step-by-step explanation:

1-A= {all even integers} under multiplication?:

Sol: The set of positive integers under multiplication would not form because this set does not contain inverses. And no identity exists in this set. And in the case of negative even integers under multiplication, when we multiply a negative number to another negative number it becomes a positive even integer.

2-B= {all positive even integers} under averaging?:

The average of the integers from 1 to n is (n+1)/2.

Because there is only even numbers so, the formula has to doubled, this formula is used for sequences that increase by 1. So n(n+1)

There are only 1009 even integers between 2 to 2018.

2+2018=2020 and 2020/2=1010

3-C= {all odd integers} under addition:

Sol: the set of odd integers under addition does not form a set because the set of odd integers is not a closed set. Because addition of two odd numbers gives us an even number. And the other reason is that the identity element does not exist in this set. Identity for addition is zero (0) which is an even number.        

4-D= {all odd integers} under multiplication:

Sol: The set of odd integers say F is not a group under multiplication (.) because the inverse of odd integers does not exist. For example an element m is belonging to odd integer group say F. its inverse (1/m) does not exist in this set. Sometimes it does not have identity.

5- E= {all prime natural numbers) under addition:

Sol: All prime natural numbers are not set under addition because when we add two prime numbers we will not get always a prime number. For example 7+3= 10

7 and 3 are prime numbers but 10 is not a prime number.

6-F= {all composite integers} under addition:

Sol: no, not all composite number under addition form a set because when we add two composite number 15 + 14 = 29, 29 is a prime number.

7-G= {all composite integers} under multiplication:

Sol: yes all composite integers form a set under multiplication because when we multiply any integer to another integer it gives composite numbers. When we multiply prime numbers it gives a composite number.

Answer:

See Below

Step-by-step explanation:

150 = p + 78    ------ you want to get the p to one side and the other number the the other side of the =

(78 - 150) = p (78 - 78)   ---- what ever you do to one side you do to the other

72 = p

s - 51 = 12 (same thing as above)

s (-51 + 51)  = 12 + 51

s = 63

65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)

65 = x + 7 (same as above)

( 7 - 65 ) = x ( 7 - 7 )

58 = x

Answer:

x equals 3

(-2, -3) and (8, -3) the middle of the x coordinate is 3

Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

Answer:

12

Step-by-step explanation:

Since we have to find the distance, look at each point. The Y-values of both points are the same, so we don't have to take that into consideration. Then, take the absolute value of an X-value subtracted from another X-value. This will lead you to get 12. We never get a negative number, since distance is a scalar value, one that does not include direction, which means no negative values in numerical terms.

The distance between two points (7,-3)and (-5,-3) is 12.16 units.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The distance between the points (7,-3)and (-5,-3)

x₁=7, y₁=-5,x₂=-5 and y₂=-3

Now plug in these values in the distance formula

Distance=√(-5-7)²+(-3+5)²

=√(-12)²+(2)²

=√144+4

=√148=12.16

Hence, the distance between two points (7,-3)and (-5,-3) is 12.16 units.

To learn more on Distance click:

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Answer:

Step-by-step explanation:

1a. 7000m                    1b. 10mm

2a. 1000cm                  2b. 2m

3a. 6km                        3b. 3km

4a. 2km                        4b. 9m

5a. 6cm                        5b. 7m

6a. 9cm                        6b. 9km

7a. 4km                        7b. 5km

8a. 8km                        8b. 30mm

9a. 70mm                     9b. 3m

10a. 2cm                       10b. 10cm

Answer:

1a:  7,000 m                                                     1b:  10 mm

2a:  1,000 km                                                  2b:  2 m

3a:  6 km                                                         3b:  3 km

4a:  2 km                                                         4b:  9 m

5a:  6 cm                                                         5b:  7 m

6a:  9 cm                                                         6b:  9 km

7a:  4 km                                                         7b:  5 km

8a:  8 km                                                         8b:  30 mm

9a:  70 mm                                                      9b:  3 m

10a:  2 cm                                                       10b: 10 cm

Hope I helped!

Answer is -9

Multiplying by 1/4 is the same as dividing by 4

-36(1/4) = -36/4 = -9

Answer:

Option B.

Step-by-step explanation:

The given equations is

[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]

The correct steps to solve the above equation are

1. Using distributive property, we get

[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]

2. Combining like terms, we get

[tex]15.6x-16.4=-2.3x-7.8[/tex]

3. Using addition property of equality, add 2.3x on both sides.

[tex]17.9x-16.4=-7.8[/tex]

4. Using addition property of equality, add 16.4 on both sides.

[tex]17.9x=8.6[/tex]

5. Using division property of equality, divide both sides by 17.9.

[tex]x\approx 0.48[/tex]

In step 2, the like terms were not combined properly on the right side of the equation.  

[tex]13.8-21.6=-7.8\neq 35.4[/tex]

Therefore, the correct option is B.

Answer:

The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.

The measure of length DE if DF = 61 and EF = 18 is 43

From the question, we are given the following measurement:

DF = 61

EF = 18

Required:

DE

Using the expression to find the measure of DE

DE + EF = DF

Substitute the given values

DE + 18 = 61

Subtract 18 from both sides

DE + 18 - 18 = 61 - 18

DE = 43

Hence the measure of DE is 43

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Answer:

A

Step-by-step explanation:

Complete question :

Mulder and Scully are driving to the same town. Mulder leaves the office at ​9:30 a.m. averaging 51 mph. Scully leaves at ​10:00 ​a.m., following the same path and averaging 57 mph. At what time will Scully catch up with​ Mulder?

Answer:

2:15 p.m

Step-by-step explanation:

Given the following :

Mulder :

Speed = 51mph

Time he left office = 9:30 a.m

Scully :

Speed = 57mph

Time she left office = 10:00 a.m

Time difference = (10:00 - 9:30)a.m = 30 minutes = half an hour = 0.5 hour

Let Scully's travel time when she catches up = s

Therefore, Mulder's time at the same moment = (s + 0.5)

Recall:

distance = speed × time

Hence,

Scully's distance : 57 * s = 57s

Mulder's distance : 51 * (s + 0.5)

Equating both :

57s = 51(s + 0.5)

57s = 51s + 25.5

57s - 51s = 25.5

6s = 25.5

s = 25.5 / 6

s = 4.25 hours

Hence scully will catch up with Mulder after 4.25 hours

10:00am + 4.25 hours = 2:15p.m

Answer:

f(5) = 25

Step-by-step explanation:

f(x) = 3x + 10

f(5) = 3(5) + 10

f(5) = 15 + 10

f(5) = 25

Answer:

f(5) = 25

Step-by-step explanation:

f(x) = 3x + 10

Let x = 5

f(5) = 3*5+10

      = 15+10

      = 25

(3.6x - 1.9)4 = 28.4

3.6x -  1.9 = 7.1

3.6x = 7.1 + 1.9

3.6x = 9

x = 9 / 3.6

x = 2.5 (value of x)

3.6(2.5) - 1.9 = 7.1 (side length)

you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined

Answer:

So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)

To calculate the x% of a number, we multiply the number by [tex]\frac{x}{100}[/tex]%.

So, if we want to calculate the 3%, we need to multiply by [tex]\frac{3}{100}[/tex]%, by 0.03:

1500 * 0.03 = £45

So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.

1500 + 45 = £1545

Part A:

Since five states have four-star hotels, only those five states can claim at least one four-star hotel and since there are 50 states, we can write this as 5/50 or 1/10.

Part B:

50 - 5 = 45 states don't have a four-star hotel.

Part C:

45/50 or 9/10 of the states do not have a four-star hotel.

Best of Luck!

Answer:

The fraction of states with a​ four-star hotel 9/10.

The number of states without a​ four-star hotel is 5

The fraction of states without a​ four-star hotel is 1/10

NOT 45.

Answer:

Hey there!

The correct answer is 60 people on one plane.

Hope this helps :)

Answer: 60:1

Step-by-step explanation: it asks for a unit rate I'm not trying to catch beef but the above is half answered thank you for your time.