Centimeter using decimal
63mm

9514 1404 393

Answer:

  3)  1,440

Step-by-step explanation:

The dimensions of the prism can be expressed in terms of the cube dimensions.

  1 2/6 inches = 8/6 inches = 8×(1/6 inch)

  5/6 inch = 5×(1/6 inch)

  6 inches = 36/6 inches = 36×(1/6 inch)

So, the volume of the prism in terms of small cubes is ...

  8×5×36 = 1,440 . . . small cubes

Answer: At 5.5 hours they will be 770 km apart.

Step-by-step explanation: Divide the distance by the total speed at which they are moving apart.

60 km/h + 80km/ = 140 km/h

770 km ÷140 km/h = 5.5 hours

Answer:

no choice

use calculus to find vav

s'=v=12t+3

v(0)=3

v(2)=27

so vav=(27-3)/2

vav=12

Answer:

Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2  = a/b it follows that 2 = a2/b2,  or  a2 = 2 · b2.  So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

(I copied this from the internet, but hope it helps!)

Answer:

Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2 = a/b it follows that 2 = a2/b2, or a2 = 2 · b2. So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2 = (2k)2/b2

2 = 4k2/b2

2*b2 = 4k2

b2 = 2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

Answer:

B

Step-by-step explanation:

x + y = 90

Your x and y will give you a sum of 90

y= 4x + 6

Your y will be 6+ more then 4 TIMES x

therefore you would do 4 times x plus 6 equals y

Answer:

3i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-27}[/tex]

= [tex]\sqrt{9(3)(-1)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 3i[tex]\sqrt{3}[/tex]

Answer:

$100

Step-by-step explanation:

From the question, we are given the following

Rental price of the truck

percentage off coupon = 50%

Required

Sale tax of the truck rental

Sale tax of the truck rental = 50% of the truck price

Sale tax of the truck rental = 50% of $200

Sale tax of the truck rental = 50/100 * 200

Sale tax of the truck rental = 0.5 * 200

Sale tax of the truck rental = $100

Hence the sale tax of the truck rental is $100

Answer:

y = 3

Step-by-step explanation:

-3(2/3) + 5= y

-3 * 2/3 = -2

-2 + 5 = 3

So the answer is y = 3

Answer:

4/7x310=177 1/7

8/8x310=310

1 1/6x310=361 2/3

Step-by-step explanation:

Hope THis Helps :)

Answer:

4/7*310 = 177.142857

8/8*310 = 310

1 1/6*310 = 361.666667

So the order would be 4/7, 8/8, 1 1/6

Hope this helped! :)

Answer:

Percent change is comparing one current number or value to another.

Percent difference is comparing a number or value to another number or value.

Step-by-step explanation:

Answer:

the answer is negative 7 over 2

Step-by-step explanation:

The question is incomplete, the complete question is;

A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?

Answer:

36

Step-by-step explanation:

Let the weight of the green tea used be x kg.

From the question:

We have:

18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63

Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x

Total weight of the mixture is 18 + x kg.

Total cost of the mixture is = $2.9 (18 + x)

Thus,

Total cost of black tea + total cost of green tea = Total cost of the mixture

$63 + $2.6 x = $2.9 (18 + x)

$63 + $2.6x = $52.2 + $2.9x

63 – 52.2 = 0.3 x

10.8 = 0.3 x

x = 10.8/0.3

x = 36

36 kg of green tea is needed

Either the question is printed wrong..

Or the answer should simply be

3x + 4y = 10

Answer:

see explanation

Step-by-step explanation:

To solve, choose a value of x or y, substitute into the equation and evaluate for the other variable.

Choose x = 2, then

3(2) + 4y = 10

6 + 4y = 10 ( subtract 6 from both sides )

4y = 4 ( divide both sides by 4 )

y = 1

Thus (2, 1 ) is a solution to the equation

Answer:

d.

Step-by-step explanation:

They are always equal because if k = 0 we are left with  x^2.

Answer:

Answer:

$100.7

Step-by-step explanation:

Total cost

= cost of item + amount of sales tax

= 95 + 6% of 95

= 95 + 0.06*95

= 95 + 5.7

= $100.7

Answer:

Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.

1.06 × $95.00 = $100.70

The object will cost $100.70.

Step-by-step explanation:

Credits to : Padoru

Check : https://brainly.com/question/14308615 to see their response

Answer:

13. 230°

14. -3

14. 14

15. 9

Step-by-step explanation:

I'm srry if these are wrong

Answer:

The length of the actual bakery is 936 inches or 78 feet

Step-by-step explanation:

From the question we are told:

Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.

Let both the measurement of the shopping center and scale drawing be written in feet

1 foot = 12 inches

6 foot = x

Cross Multiply

x = 6 × 12 inches

x = 72 inches

Hence, the scale drawing =

Scale drawing : shopping center

1 inch = 72 inches

A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?

This is calculated as:

1 inch = 72 inches

13 inches = x inches

Cross Multiply

x = 13 × 72 inches

x = 936 inches

The length of the shopping center = 936 inches

We convert back to feet

= 12 inches = 1foot

936 inches = x

Cross Multiply

12x = 936 × 1

x = 936/12

x = 78 feet

Therefore the length of the actual bakery is 936 inches or 78 feet

Answer:

3 by 4

Step-by-step explanation:

Given the dimension of the polygon as 6 by 8

If the scale factor is 1/2, the new side length is gotten by multiplying both dimensions by 1/2 as shown:

For the side length 6:

New length = 1/2 * 6 = 3

For the side length 8:

New length = 1/2 * 8

New length = 4

Hence the new side lengths in the copy is 3 by 4

Step-by-step explanation:

Thursday = x

Friday = 2x (Since thursday is x and she landed up selling twice the amount she did on thursday, friday would be 2x)

Thursday + Friday = 108

For this problem you would need to find the value of x so you would need to substitute x into the equation that was created for the oranges sold on both the days

Thursday + Friday = x+2x = 108

x +2x = 108

3x = 108

x = 108/3

x= 36

Since x is thursday, Marta sold 36 oranges on thursday

To find the amount  of oranges sold on friday you would need to multiply x, which is 36, by 2

2x = 2(36) = 72

72 oranges were sold on friday

Hope this helps!!!

Answer:

A on edge

Step-by-step explanation:

Answer:

[tex]2x^2+16x+29[/tex]

Step-by-step explanation:

Given that,

[tex]g(x)=2x^2-5[/tex]

We need to find g(x+4)+2

[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]

Now,

[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]

So, the value of [tex]g(x+4)+2[/tex] is  [tex]2x^2+16x+29[/tex]

Answer:

122

Step-by-step explanation:

They are equal

Answer:

c= is what ur answer will go in front of so whatever ur answer is u do c= then ur answer

Step-by-step explanation:

3c-2c+9-6=0

c+3=0

c=3

Answer:

3c-2c+9-6=0

c+3=0

c=-3

Answer:

x<-14

Step-by-step explanation:

Isolate x

-7x>98

x<-14

(can I get brainliest please)

Answer:

7

Step-by-step explanation:

8+4=2(x-1)

12=2(x-1)

x-1 = 12/2

x-1 = 6

x = 6+1 = 7

Answer:

C. 0.24

Step-by-step explanation:

A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29

From the above question:

8 servings = 1.92 liters of milk

1 serving = x liters

Cross Multiply

8 × x liters = 1 × 1.92 liters

x liters = 1.92 liters/8

x liters = 0.24 liters

There are 0.24 liters of milk, in 1 serving

Answer:

0.24

Step-by-step explanation:

Answer:

d^5

Step-by-step explanation:

Given the indicinal expression

d^8/d^3

Based on the law of indices, if the base are the same, subtract the powers. This is as shown:

d^8/d^3 = d^{8-3}

d^{8-3} = d^5

Hence the solution is d^5

Answer:

Number of ducks in paddock = 36

Number of sheep in paddock = 6

Step-by-step explanation:

Let d be the number of ducks and s be the number of sheep

Then according to given statements, the equations will be:

[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]

For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:

[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]

Putting s = 6 in equation 1:

[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]

Hence,

Number of ducks in paddock = 36

Number of sheep in paddock = 6

Number of sheep and Number of duck are 6 and 36

Given that;

Number of total heads = 42

Number of total feet = 96

Find:

Number of ducks and sheep

Computation:

Number of legs in 1 sheep = 4

Number of legs in 1 duck = 2

So,

Assume;

Number of sheep = a

Number of duck = b

So,

a + b = 42 ...... Eq1

4a + 2b = 96 ......... Eq2

Eq2 / 2

2a + b = 48..... Eq3

From Eq 3 and Eq1

a = 6

So,

b = 36

Number of sheep = 6

Number of duck = 36

Find out more information 'Elimination method'

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