Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them?

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

The value of 36th term is 187.

An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.

abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.

Given series

12, 17, 22,.....

since the series is in AP because the difference between any two consecutive numbers is equal,

17 - 12 = 5 and 22 - 17 = 5

for nth term of AP

aₙ = a₁ + (n - 1)d

where a₁ = 12, n = 36, d  =5

a₃₆ = 12 + (36 - 1)5

a₃₆ = 12 + 35 × 5

a₃₆ = 12 + 175

a₃₆ =  187

Hence 187 is the 36th term.

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Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

Answer: D

Step-by-step explanation:

Answer:  Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

Answer:

Step-by-step explanation:

From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary

========================================================

Explanation:

The drawing is shown below.

Notice that 23 + 67 = 90, or you could say 90-67 = 23.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(23) = x/903

x = 903*tan(23)

x = 383.300759 approximately

x = 383.30

Answer: 78,720,000,000 quarts.

Step-by-step explanation:

32 x 2460000000 = 78,720,000,000

Answer: 666.22 m^3

Step-by-step explanation:

The formula for the volume of a right circular cone is: V = π*r^2*(h/

3)

Therefore, plugging in 14.1 for "r" and 3.2 for "h" yields 666.22

Answer:

  undefined

Step-by-step explanation:

The slope of a line is the ratio of the vertical change between two points to the horizontal change between those same two points. When the line is vertical, the horizontal change is zero. That means the slope is some (non-zero) value divided by zero. Division by 0 gives a result that is "undefined."

The slope of a vertical line is "undefined."

Answer:

y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0

Step-by-step explanation:

The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively

The central angles of each family is calculated using:

Angle = Percentage * 360

Using the data on the circle graph, we have:

Taxes = 2% * 360 = 7.2 degrees

Housing = 16% * 360 = 57.6 degrees

Food = 16% * 360 = 57.6 degrees

Childcare = 18% * 360 = 64.8 degrees

Transportation = 13% * 360 = 46.8 degrees

Insurance = 28% * 360 = 100.8 degrees

Other needs = 7% * 360 = 25.2 degrees

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Answer:

8[tex]\pi[/tex] miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= [tex]\pi r^{2}[/tex]

Therefore, the area of this circle is [tex]4^{2} \pi[/tex], or 16[tex]\pi[/tex]

Half of this area, because what you're looking for is a semi-circle, is:

8[tex]\pi[/tex] (exact) or 25.133 (rounded) miles.

Answer:

2 v 13, 2 Square root 13

Step-by-step explanation:

there's 2 right triangles

a)

10^2 = 6^ + a^2

100 - 36 = a^2

64 = a ^2

a = 8

--------------------------------------------

now we know the base of the right triangle = 8

and also the base of the left one = 4

8 + 4 = 12

--------------------------------------------

now find x

b)

x^2 = 6^2 + 4^2

x^2 = 36 + 16

x^2 = 52

x = (square root) 52

x = 2 v 13     <---- "v = square root"

Instructions :- Simplify the answer if there is square root

hypotenuse² = perpendicular²+base²

First triangle:-

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {10}^{2} = {6}^{2} + {b}^{2} \\ 100 = 36 + {b}^{2} \\ 100 - 36 = {b}^{2} \\ 64 = {b}^{2} \\ 8 = b[/tex]

Second triangle

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {x}^{2} = {6}^{2} + {4}^{2} \\ {x}^{2} = 36 + 16 \\ {x}^{2} = 52 \\ x = \sqrt{52} = 7.2 \\ x = 7 \: \: approx[/tex]

Answer:

y + 8

Step-by-step explanation:

8 more than y is y plus 8.

Answer:

24 cm³

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the area of the base by the height.  V=lwh.  V=(1.5)(2)(8)=24 cm³

Answer:

the answer should be 24

Step-by-step explanation:

1.5 x 2 = 3

3 x 8 = 24

V = L x W x H

V = 1.5 x 2 x 8

Answer:

See the steps below

Step-by-step explanation:

[tex]0.17 + \cfrac{(0.68-0.17)(20- (-14.4))}{-21.3- (-14.4)} =[/tex]

[tex]0.17 + \cfrac{0.51(20+14.4)}{-21.3+14.4} =[/tex]

[tex]0.17 + \cfrac{0.51*34.4}{-6.9} =[/tex]

[tex]0.17 - \cfrac{17.544}{6.9} =[/tex]

[tex]\cfrac{17}{100} - \cfrac{17544}{6900} =[/tex]

[tex]\cfrac{17*69-17544}{6900} =\\[/tex]

[tex]-\cfrac{16371}{6900} =[/tex]

[tex]-\cfrac{5457}{2300} =[/tex]

[tex]-2\cfrac{857}{2300}[/tex]

Answer:

17.5

Step-by-step explanation:

x and y are in the ratio: 1 : 4

which means that if y is 35 x is 4 times y equating to 140

hence if x is 70 then y is 17.5

Answer:

30:9 or if you want it simplified 10:3

Step-by-step explanation:

Answer:

300 calories

Explanation:

Here radius:

perimeter of track = 2 π r = 2 (3.14) (75) = 471 ft

total laps ran:

So calories burnt:

Answer:

300 calories

Step-by-step explanation:

Circumference of a circle = πd

(where d is the diameter)

Given:

Substitute the given values into the formula to find the circumference (length of one lap):

⇒ Circumference = 3.14 × 150 = 471 ft

Given:

⇒ Total laps = total distance run ÷ circumference

                     = 11775 ÷ 471

                     = 25

Given:

⇒ Total calories burnt = total number of laps × cal burnt per lap

                                     = 25 × 12

                                    = 300 calories

Answer:

8,490 messages

Step-by-step

Answer: 27

Step-by-step explanation:

Answer:

62.5 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

So the answer is 90 - 27.5.

The answer is A

difference means to subtract

while product means to multiply!

(i hope this helps!)

Answer:

$847.74

Explanation:

total cost:

Answer:

$847.74

Step-by-step explanation:

Given:

Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge

⇒ total = (108.25 x 7) + 89.99

            = 757.75 + 89.99

            = 847.74

Answer:

59

Step-by-step explanation:

[tex](-6)^2-5(-6)-7[/tex]

[tex]36+30-7[/tex]

[tex]59[/tex]

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

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Answer:

13

Step-by-step explanation:

Answer:

The answer should be B. 86.7

Answer:

hello.

• Area: 387.11cm²

•A (side)= 15 cm.

hope this helps.

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

volume of a cylinder = πr²h

where

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

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Answer:

what do you want to know about linear equation?