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Answer:

[tex]Jane = 15\frac{3}{10}[/tex]

Step-by-step explanation:

Given

[tex]Kent = 12\frac{4}{5}[/tex]

[tex]Lane = 1\frac{1}{6} + Kent[/tex]

[tex]Jane = 1\frac{1}{3} + Lane[/tex]

Required

Determine Jane's age

Substitute [tex]Kent = 12\frac{4}{5}[/tex] in [tex]Lane = 1\frac{1}{6} + Kent[/tex]

[tex]Lane = 1\frac{1}{6} + 12\frac{4}{5}[/tex]

[tex]Lane = \frac{7}{6} + \frac{64}{5}[/tex]

Take LCM

[tex]Lane = \frac{45+384}{30}[/tex]

[tex]Lane = \frac{419}{30}[/tex]

Substitute [tex]Lane = \frac{419}{30}[/tex] in [tex]Jane = 1\frac{1}{3} + Lane[/tex]

[tex]Jane = 1\frac{1}{3} + \frac{419}{30}[/tex]

[tex]Jane = \frac{4}{3} + \frac{419}{30}[/tex]

Take LCM

[tex]Jane = \frac{40+419}{30}[/tex]

[tex]Jane = \frac{459}{30}[/tex]

[tex]Jane = 15\frac{3}{10}[/tex]

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer:

Exercise (a)

The work done in pulling the rope to the top of the building is 750 lb·ft

Exercise (b)

The work done in pulling half the rope to the top of the building is 562.5 lb·ft

Step-by-step explanation:

Exercise (a)

The given parameters of the rope are;

The length of the rope = 50 ft.

The weight of the rope = 0.6 lb/ft.

The height of the building = 120 ft.

We have;

The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;

ΔW₁ = 0.6Δx·x

The work done for the second half, ΔW₂, is given as follows;

ΔW₂ = 0.6Δx·x + 25×0.6 × 25 =  0.6Δx·x + 375

The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375

∴ We have;

W = [tex]2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750[/tex]

The work done in pulling the rope to the top of the building, W = 750 lb·ft

Exercise (b)

The work done in pulling half the rope is given by W₂ as follows;

[tex]W_2 = \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5[/tex]

The work done in pulling half the rope, W₂ = 562.5 lb·ft

Answer:

2998 Panda's will be left in 4 years.

Step-by-step explanation:

0.5 x 4 =2

3000-2=2998

Answer:

(-4,-6)

hope this helps !

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

The triangles PRQ and MRN are not similar.

Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:

∠R = ∠R

∠Q = ∠N

∠P = ∠M

The following proportion rule must apply below:

PR / MR = RQ / RN = PQ / MN

18 / 10 = 21 / 7

9 : 5 ≠ 3 : 1

Therefore, the triangles are not similar

learn more on similar triangles here: https://brainly.com/question/10810713

Answer:

The value is X im not sure

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

3)

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

4)

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

Answer:

24 inches

Step-by-step explanation:

Answer:

2 feet long

Step-by-step explanation:

12 inches in a foot

30-6=24

24 inches=2 feet

Answer:

I believe it is 18

Step-by-step explanation:

If you write out the count by's then the last number they both have in common is 18.

Hope this helps, have a wonderful day!

Answer:

10 rides

Step-by-step explanation:

Make an equation.

25 + 2x = 35 + 1x

Subract 1x from the 2x to get 1.

New Equation: 25 + 1x = 35

Subtract 25 from 35 to get 10.

New Equation: 1x = 10

Divide 1 from both sides.

Answer: 10 rides

Answer:

No

Yes

No

Yes

(choice 3 is a no)

the answer would have to be 465

Answer:

Weight of a pile of sand = 90 Kg

Ratio of weight of sand in three bags =

2 : 3 : 7

Let the weights be 2x kg, 3x kg and 7x kg respectively

A.T.Q.

=> 2x + 3x + 7x = 90

=> 12x = 90

=> x = 90/12

=> x = 7.5 Kg

___________________________

Weight of sand in small bag =

=> 2 × 7.5

=> 15 Kg ANS

Weight of sand in medium bag =

=> 3 × 7.5

=> 22.5 Kg ANS

Weight of sand in large bag =

=> 7 × 7.5

=> 52.5 Kg ANS

Answer:

talk ab

- Generations

- culture

Answer:

A) 108 degrees

B) 90 degrees

C) 270 degrees

Answer:

It is a

Step-by-step explanation:

Answer:

x=8 and y= -3

Step-by-step explanation:

2x + 7y= -5. eqn 1 ×6

-x -6y = 10. eqn 2 ×7

12x + 42y = -30

+

-7x - 42y = 70

= 5x= 40

x= 8

to find y

substitute x into eqn 2

-8-6y=10

-6y=10+8

-6y=18

therefore 6=-3

Answer:

93.5

Step-by-step explanation:

Answer: 12?

Step-by-step explanation:

Answer:

9×24-4

216-4

212

Step-by-step explanation:

I am not sure, but it might help you

Answer:

n = [tex]\frac{4}{3}[/tex]

or (because the wording is kind of confusing)

n = [tex]\frac{20}{3}[/tex]

Step-by-step explanation:

9(4 - n) = 24

36 - 9n = 24

-9n = -12

n = [tex]\frac{4}{3}[/tex]

or (because the wording is kind of confusing)

9(n - 4) = 24

9n - 36 = 24

9n = 60

n = [tex]\frac{20}{3}[/tex]

Answer:

24x-18

Step-by-step explanation:

To simplify this we will need to use the distributive property

we can start with

6*4x=24x

then we can do

6*3=18

and since their is a negative sign in the middle that is what we do, so it will be

24x-18

Can I please have brainliest :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Simplify 6(4x - 3)}[/tex]

[tex]\large\text{DISTRIBUTE}\downarrow[/tex]

[tex]\large\text{6(4x - 3)}[/tex]

[tex]\large\text{6(4x) + 6(-3)}[/tex]

[tex]\large\text{6(4x) = 24x}[/tex]

[tex]\large\text{6(-3) = -18}[/tex]

[tex]\large\text{\bf = 24x - 18}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf \huge 24x - 18 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

y = -3x + 3

Step-by-step explanation:

use the formula y - y1 = m ( x - x1)

y - 3 = -3 ( x - 0)

y - 3= -3x

y = -3x + 3

Answer:combination

Step-by-step explanation: just did the assignment

There are 7 days in a week.

1/2 hour x 7 days = 3 1/2 hours per week.

3 1/2 hours per week x 4 weeks = 14 hours

He read for a total of 14 hours

Answer:

14 hours

Step-by-step explanation:

half hour = 30 minutes

1 week = 7 days

30(minutes) x 7(days) = 210 minutes

210(minutes) x 4(weeks) = 840 minutes

Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.

840 minutes = how long Danny has read in minutes

60 minutes = hour

840(minutes) ÷ 60(minutes) = 14(hours)

Answer:

2

Step-by-step explanation:

3w=6

w=6÷3

w=2