What is the value of x in:
3x + 2(x + 1) = 12?
A.12
B.6
C.10
D.2​

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                = [tex]\frac{960-480}{2-1}[/tex]

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

Answer:

Head bands: 18.58 inches of fabric

Wrist bands : 8.51 inches of fabric

Step-by-step explanation:

Jillian is making accessories for the soccer team.

For head bands

She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.

The total number of people = 39 player + 2 coaches = 41 people

Hence:

41 persons = 761.78 inches of fabric

1 person = x

Cross Multiply

41 × x = 761.78 × 1

x = 761.78/48

x = 18.58 inches

For wristbands

She also uses 331.89 inches of fabric on wristbands for just the players.

Number of players = 39 players

Hence:

39 players = 331.89 inches

1 players = x inches

Cross Multiply

39 × x = 1 × 331.89 inches

x = 331.89 inches/39

x = 8.51 inches

Therefore:

18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.

Answer:

x=1/27

Step-by-step explanation:

In attachment...

Answer: 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

Given : 3$ could be exchanged for 2.5 euros

That means :

To get 2.5 euros , dollars needed are = 3$

By using Unitary method:

To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $

To get 6 euros , dollars needed are =  [tex]\frac{3}{2.5}\times 6=7.2[/tex] $

Thus 7.2 $ will be needed to get 6 Euros.

Answer:

c

Step-by-step explanation:

Answer:

x=30cm

Step-by-step explanation:

The sides are proportionate so you can solve this by using ratios 75/30=x/12

Cross Multiply

30x=900

x=30

Answer: 471.238898359 Or when rounded, 471.2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The slope of line 1 is: 2

Does line one have a negative of positive slope: Positive

The slope of line 2 is: -1/2

Does line two have a negative of positive slope: Negative

Answer: Fiona baked 45 cookies and Diana baked 30 cookies.

45 + 30 = 75 total cookies baked.

Step-by-step explanation:

We have |E - G| = 12.

=> E - G = 12 or E - G = -12

=> (-1) - G = 12 or (-1) - G = -12

=> G = -13 or G = 11.

Coordonates of G could be -13 or 11.

Answer:

7,1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

3(2)-2(1-2) / 3-2

6-2(-1) / 1

6 + 2 / 1

8 / 1

= 8

Answer:

64

Step-by-step explanation:

8x8=64

Answer:

Step-by-step explanation:

The blue dot is where (-2,-5) is on a graph.  Hope this helps!

Answer:

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have points (1,6) and (2,2)

Slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]

The equation of line will be:

[tex]y=mx+b\\y=-2x+11[/tex]

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]

The equation of line will be:

[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Answer:

Step-by-step explanation:

it xhkr pls

Answer:

773,917

Step-by-step explanation:

I will assume it will be a compound interest:

To solve any compound interest problems, use the formula (P x e)^r x t

P = Principal amount

e is Euler's number can be found on your calculator

r = rate

t = time  

so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)

Answer:

pop after 11 years will be 772,000

Step-by-step explanation:

P = initial population · [tex]e^{(.06)(11)}[/tex]     e = Eulers number which is approx 2.7

P = 400,000 · [tex]2.7^{0.66}[/tex]

P = 400,000 · 1.93

P = 772,000

Answer:

Step-by-step explanation:

110.75=10.5h-16

Answer:

1) d 2) b

Step-by-step explanation:

1) 36÷24 = 1.5 15×1.5= answer

2) 4÷3.2= 1.25 7.5÷1.25= answer

Answer:

x=-2/9

y=-46/9

Step-by-step explanation:

Answer:

7 / 15= 0.47

Step-by-step explanation:

Answer:My best guess is B or C

Step-by-step explanation:

im not the best at solving this but I feel certain it’s either of those

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps

Answer:

10.8887π.

Step-by-step explanation:

34.208 / π

= 10.8887π.

Answer:

c = 17

Step-by-step explanation:

Since this is a right angle triangle we can use the Pythagoras theorem that states that [tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the Solve for  hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....

[tex]c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17[/tex]

Answer: $36

Step-by-step explanation:

Let the total amount of money that he had in the beginning be represented by x.

Since Gary spent 1/6 of his money on baseball cards which was $6. This will then be solved further as:

1/6 × x = 6

1/6x = 6

x = 6 × 6

x = 36

The total amount of money that he had in the beginning was $36

Answer:

according to my calculations for the gradient 3/5 is correct and - 6 is the y intercept so I suppose it's correct

Answer:

-0.5

Step-by-step explanation:

I just added it into my calculator