X= what???????
4
9
16

Answer:

The birch tree needs 12 years

Step-by-step explanation:

Proportional Relationship

Two variables t and d are proportional if they have the relationship described by the equation:

d = kt

Where k is the constant of proportionality.

From the graph on the question, we recognize the proportionality of the age of a birch tree and its diameter because the line passes through the origin (0,0). To find the equation, we need to recognize a clear point on the graph. We select the point (2,7). Substituting in the equation:

7 = 2k

Thus:

[tex]k=\frac{7}{2}[/tex]

The equation is:

[tex]\displaystyle d=\frac{7}{2}t[/tex]

For the birch to have a diameter of d=42 inches, the time needed can be calculated by solving the equation:

[tex]\displaystyle 42=\frac{7}{2}t[/tex]

[tex]\displaystyle t=42*\frac{2}{7}[/tex]

t = 12 years

The birch tree needs 12 years

Answer:

Step-by-step explanation:

reflecitve property

both triangles are the same just on oppisites sides

Answer:

1) it looks like it'll be (1,5)

2) it looks like it'll be (-1,-1)

hope it's right

Step-by-step explanation:

Answer:

none of these, it should be 25%

Step-by-step explanation:

Answer:

13) Angle A is 30°

14) Angle A is 45°

15) Angle A is 40°

16) Angle A is 40.5°

Step-by-step explanation:

By the angle sum theorem for the interior angles of a triangle, we have;

13) 130° + 2·x + 3·x = 180°

∴ 2·x + 3·x = 180° - 130° = 50°

2·x + 3·x = 5·x = 50°

x = 50°/5 = 10°

∠A = 3·x = 3 × 10° = 30°

∠A = 30°

14) 3·x + 9 + 4·x + 9 + 78° = 180°

7·x + 18 + 78° = 180°

7·x = 180° - (18 + 78)° = 180° - 96° = 84°

x = 84°/7 = 12°

∠A = 3·x + 9 = 3 × 12° + 9 = 45°

∠A = 45°

15) 90° + x + 51 + x + 61 = 180°

∴ x + 51 + x + 61 = 180° - 90° = 90°

2·x + 112 = 90°

2·x = (90 - 112)° = -22°

x = -22°/2 = -11°

x = -11°

∠A = x + 51 = -11° + 51 = 40°

∠A = 40°

16) x + 79 + x + 49 + 70° = 180°

x + x  = (180 - 70 - 79 - 48)° = -17°

2·x = -17°

x = -17°/2 = -8.5°

x = -8.5°

∠A = x + 49 = (-8.5 + 49)° = 40.5°

∠A = 40.5°.

Answer:

85

Step-by-step explanation:

64+16+4+1= 85 is the total distance i believe

Answer:

£23650

Step-by-step explanation:

FV (or AV) = PV(1+it)

22000(1+.025*3)

22000(1.075)

23650

Answer:

Steve has 54 Duos

Step-by-step explanation:

Proportions

It's given three duos (D) is worth as two trios (T), i.e.:

3D = 2T

Steve has 36 trios, that is, 36T. To find the equivalence to duos, we multiply the given relationship by 18:

18*3D = 18*2T

Operating:

54D = 36T

Therefore, 36 trios are equivalent to 54 duos.

Steve has 54 Duos

Answer:

the probability would be 8/15

The solution is Option 2.

The probability of selecting a ball that has an odd number and is divisible by 5 is 2/15

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of selecting a ball that has an odd number and is divisible by 5 be P

Now , the equation will be

The total number of balls in the bag = 15 balls

The numbered balls in the bag A = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 }

The numbers of the balls in the bag that are divisible by 5 B = { 5 , 10 , 15 }

The odd numbers from the set B = { 5 , 15 }

So , the probability of selecting a ball that has an odd number and is divisible by 5 P = odd numbers from the set B / total number of balls in the bag

Substituting the values in the equation , we get

The probability of selecting a ball that has an odd number and is divisible by 5 P = 2/15

Therefore , the value of P is 2/15

Hence , the probability is 2/15

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

Answer:

Step-by-step explanation:

No

Answer:

Step-by-step explanation:

If you circle has an r=17 cm,

A=r^2 x 3.14

A=289 x 3.14=907.46 cm^2

so choice A

Step-by-step explanation:

Answer:

I) R = 3 cm;

II) V = 14.3 cm³.

Step-by-step explanation:

I) C = 94.2 ÷ 5 = 18.84

A cylinder has a base with a circumference of 18.84cm.

[tex]R=\dfrac{C}{2\pi } =\dfrac{18.84}{2 \cdot 3.14} =\dfrac{18.84}{6.28} =3 \: (cm)[/tex]

II) [tex]V=\pi R^{2}H=3.14 \cdot 3^{2} \cdot 5 = 141.3 \: (cm^{3})[/tex]

Answer:

hi

Step-by-step explanation:

hi

Answer: 19 people per sqaure mile

Step-by-step explanation:

Given : Population in 2000 = 103,970,000

The population increased by 13.4% in 2010.

Population in 2010 = 103,970,000 + 13.4% of (103,970,000)

= 103,970,000+ (0.134)(103,970,000)

= 103,970,000(1+0.134)

=103,970,000(1.134)

=117,901,980

In 2000,

Population density= [tex]\dfrac{\text{Population}}{\text{Area}}[/tex]

[tex]=\dfrac{103970000}{761700}\approx 136\text{ people per square mile}[/tex]

In 2010

Population density = [tex]\dfrac{\text{Population}}{\text{Area}}[/tex]

[tex]=\dfrac{117901980}{761700}\approx155\text{ people per square mile}[/tex]

Difference = 155-136 = 19 people per sqaure mile

Hence, the increase in population density in 2010 = 19 people per sqaure mile

Answer:

a is -6 and b is -4

Step-by-step explanation:

Since your slope is 5/2, it means the function will go up five units and to the right two units. Since we know this, we can see that a needs to be 4 spaces to the left of the second point, thus making it -6, and b needs to be 5 above the second point, thus making it -4

Answer: x= 3.5

Step-by-step explanation: 4(3x) = 12x

4(-8)= -32

12x - 32 = 10

+32 = +32

12x = 42

x = 3.5

Answer:

x=3.5

Step-by-step explanation:

Start off by using distributive property ---> 12x-32=10, then add 32 on both sides---> 12x=42, then divide 12 on both sides--->x=3.5 and that is the final answer!

I hope this helps, and have a great day!

Answer:

[tex]5 - m = 1.36 \\ \: \: \: \: \: \: \: \: \: m = 5 - 1.36 \\ m = 3.64[/tex]

Answer:

$4.53

Step-by-step explanation:

Let us represent

The cost of a

Packet of tea = x

Packet of coffee = y

Five packets of tea and seven of coffee cost $39.40

5x + 7y = 39.40.....Equation 1

Three packets of tea and five of coffee cost $26.20.

3x + 5y = 26.20.......Equation 2

Combining both Equations

5x + 7y = 39.40.....Equation 1

3x + 5y = 26.20.......Equation 2

Multiply Equation 1 by 5 and Equation 2 by 7 to eliminate y

25x + 35y = 197.... Equation 3

21x + 35y = 183.4......Equation 4

Subtract Equation 4 from 3

3x = 13.6

x = 13.6/3

x = $4.53

Therefore, the cost of a packet of tea is $4.53

Answer:

b

Step-by-step explanation:

Answer:

..........the answer is B

Answer: 5x1=5

Step-by-step explanation:

Answer:

around like 51.2 miles driven

Answer:

(5x−1)(5x−1)

Step-by-step explanation:

25x2−10x+1

=(5x−1)(5x−1)

Step-by-step explanation:

5x^3+2x^2-4x-3

option b is correct answer

hope it helps you

Answer:

b.) 5t+1-4t^2/t^2(t+1)

Step-by-step explanation:

Answer:

$20

Step-by-step explanation: