A cylindrical tin of height 15 cm and radius 4 cm is filled with sand from a rectangular box. How many times can the tin be filled if the dimensions of the box are 50 cm by 40 cm by 20 cm?

Answer:

I think the answer is 40.5

Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

Answer:

(f-1)

Step-by-step explanation:

If you substitute a for (f-1) you get the expression...

The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f

f² + g⁴ − 2f + 1

f(f - 2) + g⁴ + 1

a = f

Therefore, the value of a is f

Learn more about algebraic expression:

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Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

Answer:

D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

The missing tables are:

First table  

x:    0  1    2

f(x): 1   10  100

Second table

x:         1000   100   10

f^-1(x):  3          2       1  

Option A is not correct because f(x) has a y-intercept at (0, 1)

If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct

Option C is not correct because the domain of f^-1(x) is associated with x values.

Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa

Answer: D

The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

x^2-7x+10

Substitute x = -2

(-2)^2 -7(-2) +10

Exponents and multiplication

4 +14+10

Add

28

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

Answer:

(0,-2) and (1,1)

Hope this helps :)

Answer: (0,-2) & (1,1)

Step-by-step explanation:

correct answers ✅

Answer: y - 2 = 3/2(x + 1)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:

y - (2) = 3/2(x - (-1))

y - 2 = 3/2(x + 1)

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

[tex]3x-2\leq 5x+2[/tex]

to see if it is true

x=2

6-2

[tex]6-2\leq 10+2\\4\leq 12[/tex]

it is true

Answer:

Step 1

Step-by-step explanation:

he added 4 to the other side instead of taking away 4

Answer:

step 1

Step-by-step explanation:

1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2

__________________________________

Solution,

Cost of 5.5 ounces =$ 2.53

Cost of 1 ounce= 2.53/5.5

=$0.46

So the answer is $ 0.46

Hope it helps

Good luck on your assignment

_________________________________

Answer:

x^2+5x+5

Step-by-step explanation:

Answer:

f(x)+g(x) = x^2 + 5x+5

Step-by-step explanation:

f(x) = 4x+5

g(x) = x^2 +x

f(x)+g(x) = 4x+5+ x^2 +x

 Combine like terms

f(x)+g(x) = x^2 + 5x+5

119.80$

Step-by-step explanation:

if you add 15% to 104.17 is equal to 119.80

The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?

Answer:

Actually, the answer is $694.47

Step-by-step explanation:

You use the equation % over 100 = is over of

so you put

15                  $104.17%

-             =         -

100                   x

cross multiply the $104.17 by 100 and divide by 15

Answer:

[tex]5x^2+x-5[/tex]

Step-by-step explanation:

[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]

Hope this helps!

Answer:

$6.88

Step-by-step explanation:

$5.99(12 months) = $71.88 per year

$71.88 - $65 = $6.88

Answer:

24

8

Step-by-step explanation:

It will take 8 hours for 3 people to paint the house and 24 hrs for 1 person to paint the same house

Fractions are ratio of two integers

If 4 people can paint a house in 6 hours, the time it will take 1 person is expressed as:

Time it will take 1 person = 6(4) =24 hours

Since the number of people is proportional to time:

p = k/t
3 = 24/t
t = 24/3
t = 8hrs

Hence it will take 8 hours for 3 people to paint the house

Learn more on ratio here: https://brainly.com/question/2914376

Answer:

1. C

2. A

Step-by-step explanation:

Hope these are right!

Answer:

Question 16's answer is choice B. divide both sides by 6

Step-by-step explanation:

6a=27

You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.

Answer:

Question 25's answer choice is B. 5

Step-by-step explanation:

1 3/4 + 5/6 =

7/4 + 5/6 =

21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)

Good luck! Have a great day! Hope this helps!

(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)

Answer:

im a say like 104

Step-by-step explanation:

tbh i just geuused imsorry

Answer:

7/15

Step-by-step explanation:

probability of one being a a 3-pointer is

1 2 3 4 5 6 7

7/15

Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.

" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of  any event."

Formula used

Probability =  [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Random number represents 15 trials

Therefore,

Total number of outcomes = 15

At least one of the 5 team baskets made by the team is a 3- pointer

Sample space of favourable outcomes

                         =  { 81357, 21761, 51537, 62135, 16687, 41662, 27135}

Number of favourable outcome = 7

Required probability = 7 / 15

Hence, Option (D) is the correct answer.

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Answer: The answer is the last variant.[tex]\boxed{\boxed{25000-1500*x=0}} \\\\\\ \b{For x=16 months} \ \ \ \to \to \to \ \ \ 25000-1500*16= 25000-24000 = \boxed { 1000 < 1500}[/tex]

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

0.5 can be written as a fraction and 0.5 doesn't repeat

The number 0.5 is rational and terminating decimal thus option (D) is correct.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given number, 0.5

Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.

Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.

Hence "The number 0.5 is rational and terminating decimal".

For more about the number system,

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Answer:

[tex]\frac{1}{3}[/tex]f + 5 = 23

Step-by-step explanation:

Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.

This is an equation representing the weight of Fabiola's dog:

[tex]\frac{1}{3}[/tex]f + 5 = 23

I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.

Answer:

The top section represents...........23 pounds

The bottom section represents..........5 + 1/3f

The equation is.........23 = 1/3f + 5

Step-by-step explanation:

Answer:

"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."

Step-by-step explanation:

When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.

Hope this helps!

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

√2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

Answer:

Zero

Step-by-step explanation:

Option C is correct, there are Infinitely many solutions are there to the system of equations.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The two lines are parallel, they have the same slope, which means that m is the same for both equations.

Therefore, the system of equations can be simplified to:

y = mx + b₁

y = mx + b₂

Subtracting the two equations, we get:

0 = b₁ - b₂

This means that the y-intercepts of the two lines are equal.

The two lines coincide with each other, and there are infinitely many solutions to the system of equations.

Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.

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Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

y-6=-1/3(x+3)

y-6=-1/3x-1

y=-1/3x+5