Simplify by combining like terms. Type the terms in alphabetical order. 6x-2+9y-3y-3x=

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: 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:

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:

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:

The hole is 9 inches deep

Step-by-step explanation:

Volume of a cubicle hole = a^3

Where a= side edge of the cube

Volume of dirt removed = 729 cubic inches

How many inches deep is the hole

Volume of a cubicle hole = a^3

729 = a^3

Find the cube root of both sides

3√729 = 3√ a^3

9 = a

a= 9 inches

The hole is 9 inches deep

Check:

9^3

=9 *9*9

= 729

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

Total surface area of cylinder :

[(22/7)(7)²] × 2 ( area for 2 circles )

+

[ 2(22/7)(7) ] ×12 ( circumference of circle × height )

=

836 cm²

i hope my solution helps :))

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:

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: 45

Step-by-step explanation:

4x-15 = x+30

   3x = 45

     x = 15

Then plug 15 into the  equation to get the answer of 45.

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:

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.

Step-by-step explanation:

GCF is literally abbreviated to "Greatest Common Factor". In order for two numbers to have the same GCF they must have a number that they both could be multiplied by.

I also suggest using a factor tree. Super useful when figuring out the rest of the common factors.

(love ur picture of aang btw)

Answer:

26)11

27)5

28)20

hope this helps :)

Answer:

The addition sign is adding on 4 to the problem

Step-by-step explanation:

Take the first on for example

8+2=14

8+2=10

The + would add 4 to the problem :)

Answer:

N(- 16, 14 )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ )

Use this formula and equate to the coordinates of the midpoint P

let the coordinates of N = (x, y ), then

[tex]\frac{1}{2}[/tex](8 + x ) = - 4 ( multiply both sides by 2 )

8 + x = - 8 ( subtract 8 from both sides )

x = - 16

[tex]\frac{1}{2}[/tex] (- 2 + y ) = 6 ( multiply both sides by 2 )

- 2 + y = 12 ( add 2 to both sides )

y = 14

Thus

coordinates of N = (- 16, 14 )

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

Answer:

9 minutes

Step-by-step explanation:

if the store is 2 miles, and your friends house is 1, and you run at a constant pace both times, youre dividing the time in half

18 divided by 2 = 9

Answer:

10 minutes

Step-by-step explanation:

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.

Answer:

B

Step-by-step explanation:

by a rule of angles in parallel lines we have that

angle 4 + angle 5 =180

so we have

(3x+15)+(2x-10)=180

(3+2)x+(15-10)=180

5x+5=180

5(x+1)=180

x+1=36

x=36-1

x=35

Answer:

B. 35

Step-by-step explanation:

<4 and <5 are supplementary angles and their sum is = 180°

3x + 15 + 2x - 10 = 180 add like terms

5x + 5 = 180

5x = 175

x = 35

Answer:

yes

Step-by-step explanation:

2 plus 2 is 4

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.

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Answer is -9

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

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

Answer:

15

Step-by-step explanation:

10/2 + 3 + 6 + 3/3

= 5 + 3 + 6 + 1

= 15

15 is the answer.

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

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:

x equals 3

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