A money box contains only 10-cent
and 20-cent coins. There are 33
coins with a total value of $4.60.
How many coins of each?

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

x + y = 33      where x = 10 cent coin and y = 20 cent coin

10x + 20y = 460

Multiply first equation by 10:

10x + 10y = 330

Subtract this from the second equation:

10y = 130

y = 13

So there are 13 20c coins

and 33 - 13 = 20 10c coins.

Answer 2
20 ten cents and 13 twenty cents
This is a real logic problem you just need to trial and error

Related Questions

In the data set shown below, what is the value of the quartiles? {42, 43, 44, 44, 48, 49, 50} A. Q1 = 43.5; Q2 = 44; Q3 = 49 B. Q1 = 43; Q2 = 44; Q3 = 48.5 C. Q1 = 43.5; Q2 = 44; Q3 = 48.5 D. Q1 = 43; Q2 = 44; Q3 = 49

Answers

Answer:

C

Step-by-step explanation:

I don't actually know how to explain it but,

Q1=43.5

Q2=44

Q3=48.5

Sorry, I can't help more.

Answer:

  C  is your answer

Step-by-step explanation:

when is better to use the unit circle vs. right triangles vs. trigonometric identities? Give an example of each and explain why.

Answers

The unit circle is best suited for dealing with angles and trigonometric functions of multiple angles, right triangles are best for finding the lengths of the sides of triangles with a right angle, and trigonometric identities are best for simplifying or manipulating trigonometric expressions.

Understanding when to use Unit circle, right triangles and trigonometry

Each tool has its own strengths and weaknesses and is better suited for certain types of problems.

Unit Circle is a powerful tool used to relate angles to trigonometric functions. It is particularly useful when dealing with angles in radians, as it allows for easy conversion between radians and degrees. The unit circle is also useful when dealing with trigonometric functions of multiple angles, such as sine and cosine of the sum or difference of two angles.

A good example will be if we want to find the exact value of sin(π/6), we can use the unit circle to visualize the angle π/6, which corresponds to 30 degrees. The unit circle tells us that at this angle, sin(π/6) = 1/2.

Right triangles are useful when we have a right angle in the triangle, as they allow us to use the Pythagorean theorem and trigonometric ratios to find the lengths of the sides of the triangle. Right triangles are particularly useful when we know one angle and one side length, as we can use trigonometric ratios such as sine, cosine, and tangent to find the lengths of the other sides.

If we have a right triangle with an angle of 30 degrees and a hypotenuse of 2, we can use the sine ratio to find the length of the opposite side. sin(30) = opposite/hypotenuse, so opposite = sin(30) * 2 = 1.

Trigonometric identities are useful when we want to simplify or manipulate trigonometric expressions. These identities are derived from the definitions of the trigonometric functions and can be used to simplify complex expressions or prove trigonometric identities.

For example, we can use the identity:

sin²(x) + cos²(x) = 1

to simplify the expression

sin²(x) - cos²(x).

We can rewrite this expression as:

sin²(x) - cos²(x) = sin²(x) + (-1)*cos²(x)

Learn more about trigonometry here:

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The question is attached at the bottom. PLEASE HELP with detailed explanation!!!

Answers

The correct answer are 1 , 3 , 4

Joey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/9 of a gallon is in each bowl. How many bowls will he use?
A. 6
B. 1/6
C. 27
D. 1/9

Answers

Answer:

Joey will use 6 bowls.

Step-by-step explanation:

We have to divide to solve.

What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?

When you divide fractions you just multiply by the reciprocal (the fraction flipped.)

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]

[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] = 6

Joey will use 6 bowls.

What is the solution to the inequality x(x – 3) > 0?

Answers

Answer:

The solution to the inequality is [tex](-\infty, 0) \cup (3, \infty)[/tex]

Step-by-step explanation:

We have a product, which is positive if both terms is positive or if both is negative.

Both positive:

[tex]x > 0[/tex]

[tex]x - 3 > 0 \rightarrow x > 3[/tex]

Then the intersection of these two is: [tex]x > 3[/tex]

Both negative:

[tex]x < 0[/tex]

[tex]x - 3 < 0 \rightarrow x < 3[/tex]

Then the intersection of those two is: [tex]x < 0[/tex]

Then:

Union of two solutions:

[tex]x < 0[/tex] or [tex]x > 3[/tex]

Then

[tex](-\infty, 0) \cup (3, \infty)[/tex]

On a coordinate plane, a triangle has points D (negative 2.5, 5), E (0, negative 1), and F (negative 5, negative 1). What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)? D′(3.5, )\

Answers

9514 1404 393

Answer:

  D'(3.5, 1)

Step-by-step explanation:

Use the given translation formula.

  (x, y) → (x +6, y -4)

  D(-2.5, 5) → D'(-2.5 +6, 5 -4) = D'(3.5, 1)

Answer:

d

Step-by-step explanation:

trust

plsssssss i’ll also rate brainlist

Answers

Answer:

6

Step-by-step explanation:

Basically do

2^3 -3*2+4.

and that is the last line of the function since x is greater or equal to 2.

if you are confused, I replaced x with 2 since it was h(x) and it became h(2)

2^3 = 8

8-3*2+4

-3*2 = -6

8-6+4

8-6 =2

2+4 = 6

The answer is 6
I hope this helps you

The main hall of Grand Central Station in New York City is approximately 210,000 square feet.
(a) Estimate how many people could stand with enough room to turn around in the main hall of the station if there were an emergency which required that the station be used to shelter people.
(b) Explain how you came up with your estimate.
(c) If there are 4 million people in Manhattan, NY, on a typical workday, estimate the percentage of them that could be sheltered in the station.
(d) Explain how you came up with your estimate.

Answers

Answer:

a)

52,500 persons

b)

Assuming that a single person occupies 4 square feet of space.

Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City

Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person

Where

Total Space of Grand Central Station in New York City = 210,000 square feet

Space occupied by each person = 4 squaure feet

Placing values in the formula

Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

c)

1.3125%

d)

Use the following formula to calculate the percentage of people that could be sheltered in the station

Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100

Where

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

Total population in Manhattan = 4,000,000 persons

Placing values in the formula

Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%

The number of persons will be "105,000 persons" and the percentage of 4 million that could be sheltered in the station will be "2.625%".

Given:

Total area,

A = 210,000 square feet

Total persons,

[tex]N_t[/tex] = 4 million

(a)

→ [tex]Number \ of \ persons (N) = \frac{A}{Area \ covered \ by \ one \ person}[/tex]

By substituting the values, we get

                                         [tex]= \frac{210000}{2}[/tex]

                                         [tex]= 105000 \ per \ share[/tex]

(b)

This approximation comes from dividing a large or overall area by something like a portion of one individual.

(c)

→ [tex]Percentage \ share = \frac{N}{N_t}\times 100[/tex]

By substituting the values, we get

                                [tex]= \frac{10500000}{4\times 10^6}[/tex]

                                [tex]= 2.625[/tex] (%)

(d)

Using the method above that, the proportion of people throughout the living room will be calculated.

Thus the above response in appropriate.

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Write an equation and solve for x. Show all your work.

Answers

Answer:

X= 24º

Explanation:

A straight line is 180º so, 180º - 151º = 29º - 5º = 24º

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. how long will it take to fill the vat if both pipes are left open? (in hours)

Answers

Answer:

15 hours

Step-by-step explanation:

1vat/6hours - 1vat/10hours = 1vat/xhours

1/6 - 1/10 = 1/x

Use common denominator of 30

5/30 - 3/30 = 1/x

2/30 = 1/x

1/15 = 1/x

Cross multiply

x = 15 hours

ick the correct alternatives.
If A is a subset of U, which one of the following relation is always true?
(A) A U U = U
(B) A N U = U
(C) A n A = 0
(D) A U Φ = Φ​

Answers

Answer:

A

Step-by-step explanation:

which number line represents the solution set for the inequality ? HELP PLEASE

Answers

Step-by-step explanation:

if you need any explanation you can ask

cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D

Answers

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

If x=28°, find the measures of angles 1, 2, and 3.

Answers

Answer:

1 = 62 degrees

2 = 90 degrees

3 = 62 degrees

Step-by-step explanation:

hope this helps! have a great day!

PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP

Answers

Answer:

angle 2 is 92 degree

Step-by-step explanation:

-8x + 144 = 2x + 74 (being alternate exterior angles)

-8x - 2x = 74 - 144

-10x = -70

x = -70/-10

x = 7 degree

2x + 74 + angle 2 = 180 degree (being linear pair)

2*7 + 74 + angle 2 = 180

14 + 74 + angle 2 = 180

88 + angle 2 = 180

angle 2 = 180 - 88

angle 2 = 92 degree

Answer:

92

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO

Show A and Show B are two of the most popular television shows of all time. The number of episodes of each show are consecutive even integers whose sum is 570. If there are more episodes of Show A, how many episodes of each were there?

Answers

Answer:

A = 286 episodes

B = 284 episodes

Step-by-step explanation:

Let n = the [tex]\text{number of episodes}[/tex] of show B

    n + 2 = the [tex]\text{number of episodes}[/tex] of show A

Therefore, according to the question,

The sum of the number of the episodes of each show are consecutive even integers  = 570

Therefore,

n + n + 2 = 570

2n + 2 = 570

2n = 568

n = 284

Therefore, the number of episodes for B = 284

The number of episodes for A = n + 2 = 284 + 2

                                                              = 286

Which polygons have at least one pair of parallel sides but are not parallelograms? Choose all that apply.

Answers

C, E, F, D I’m pretty sure

The correct option is polygon E.

What are polygons?

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,

Such polygons are called trapezoid.

A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.

Hence, the correct polygon is E.

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Help please. Thank you

Answers

9514 1404 393

Answer:

  (x, y) = (1, -3)

Step-by-step explanation:

The x-term has a coefficient of 1 in the first equation, making it easy to write and expression that can be substituted for x:

  x = -3y -8

Using this in the second equation, we have ...

  4(-3y -8) -3y = 13

  -15y -32 = 13

  -45 = 15y

  -3 = y

Then the value of x is ...

  x = -3(-3) -8 = 1

The solution is (x, y) = (1, -3).

Lillia total saving y in dollars is given by the equation y= 10 x where x is the number of week

Answers

Answer:

$50 dollars saved

Step-by-step explanation:

Given

[tex]y = 10x[/tex]

Required

The amount saved after 5 weeks

We have:

[tex]y = 10x[/tex]

Substitute 5 for x

[tex]y = 10*5[/tex]

[tex]y = 50[/tex]

Every day Maria spent 30 minutes reading and 20 minutes playing the piano witch equation shows the total number of minutes, m she plays the piano in d days

Answers

Answer:

y means that the schedule your online Hindi

i need help plz help me

Answers

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

Answer:

Step-by-step explana:2 ( a+ 2b) - a- 2b

=2a + 4b - a - 2b= a + 2b  

Maria made $273 for 13 hours of work. at the same rate, how many hours would she have to work to make $189?​

Answers

Answer:

9 hours

Step-by-step explanation:

$273/13 hours=$21 per hour

$189/$21 =9 hours

examples of subtraction of two fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.

Answers

Answer:

Step-by-step explanation:

3/5 - 2/5 = (3-2)/5 = 1/5

7/10 - 3/10 = (7-3)/10 = 4/10 = 2/5

PLEASE ANSWER DUE IN 20 MINUTES

Answers

x= 60 degrees :)

you have to add the two angles of the triangle together.. and then subtract that number by 180… then since the lines are parallel.. it is the same angle… i hope that makes sense :))

?? I got 5 minutes left, please help.

Answers

Answer:

Here we know that:

[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } }[/tex]

Where V is the speed, C = 3*10^8 m/s

We want to solve:

[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]

We can just isolate V from the above equation, so we will get:

[tex]\frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]

[tex]\frac{1}{\sqrt{1 - \frac{V}{C} } } = 2[/tex]

[tex]1 = 2\sqrt{1 - \frac{V}{C} }[/tex]

[tex](1/2)^2 = 1 - \frac{V}{C}[/tex]

[tex]V = (1 - (1/4))*C = (3/4)*C = (3/4)*3*10^8 m/s = (9/4)*10^8 m/s[/tex]

That is the velocity such that the effective mass is twice the rest mass.

petrol and engine oil has to mix in the ratio 5 : 2 for a certain motorcycle how much engine oil is needed to mix with 10 litres of petrol ​

Answers

Answer:

4 liters of engine oil

Step-by-step explanation:

petrol : engine oil

        5:2

      10:?

we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.

Can someone help with this

Answers

Answer:

triangle BEF is right angled triangle


Can someone help me please

Answers

Answer:

n = -1

Step-by-step explanation:

n^2 + 5n + 1 = 3n

N^2 +2n +1 = 0       (subtract 3n from both sides)

(n+1)(n+1) = 0   (factor

n+1 =0; n= -1

n+1 = 0  ; n=-1

Calculate the mean,median and mode.(3 points each)
1. 1,2,3,4,5
2. 2,3,4,5,6,6
3. 6,7,5,4,5,6,2,5

Answers

Answer:

1. The first set of number is

1,2,3,4,5

Mean= 1+2+3+4+5/5

= 15/5

= 3

Median= 3

Mode= N/A

The next set of numbers is

2,3,4,5,6,6

Mean= 2+3+4+5+6+6/6

= 26/6

= 4.3

Median=4+5/2

= 9/2

= 4.5

Mode= 6

The next set of number is

6,7,5,4,5,6,2,5

Mean= 2+4+5+5+5+6+6+7/8

= 40/8

= 5

Median= 5+5/2

= 10/2

= 5

Mode= 5

Solve the system by graphing. Write the solution as an ordered pair.

y = 13x + 2
y = –x – 2

PLEASE HELP!!!!!

Answers

Answer:

the answer to the question is - 2 over 7 and - 12 over 7

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