In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME

Answers

Answer 1

Answer:

765 students

Step-by-step explanation:

x- total number of students

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students

Answer 2

The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.

If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;

x be the total number of students

Therefore,

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students.

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Related Questions

Fave food. THIS IS FOR A GRAPH, PLEASE JUST COMMENT.

Answers

Spaghetti is my favorite food

2+4=? what does ? equal?

Answers

Answer:

= 6

Step-by-step explanation:

2+4 = 6

hope this helps.

ANSWER :

2+4 = 6

Step-by-step explanation:

Thanks for free point lol

A group of 15 people are ordering pizza each person wants 2 slices and each pizza has 3 slices how many pizzas should they order

Answers

Answer:

Step-by-step explanation:

15*2=30

30/2=10

10 pizzas will evenly divide between 15 ppl and give each 2 slices with no extras.

Total number of pizzas will they order will be 10.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, it is given that :

A group of 15 people are ordering pizza each person wants 2 slices and each pizza has 3 slices.

Now, 15 person will eat = 15 x 2 = 30 slices of pizza

To Find the number of pizza divide total slice of pizza people wanted with slice per pizza :

number of pizza = 30/3 = 10 pizza.

Therefore, total number of pizzas will they order will be 10.

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Marco is working with the equation s=kw his teacher told him that’s a varies directly with w if Marco substitutes 300 for s and 60 for w which of the following would be valid

Answers

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

Jayden’s rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area, in square feet, of the garden

Answers

Answer:

The area is 25.875 square feet. Or it can be written as [tex]25\frac{7}{8}[/tex]

Step-by-step explanation:

You would simply multiply them by each other. 5 3/4 is aso 5.75. And 4 1/2 is also 4.5. So simply multiply 5.75 by 4.5

5.75*4.5 to get 25.875

Model with Math The 46 golf balls in Stavin's
golf bag have 15,180 dimples on them. Each
golf ball has the same number of dimples,
Use the bar diagram to write and solve an
equation to find the number of dimples on
each ball in Stavin's bag,

Answers

Answer:

Step-by-step explanation:

divide 15,180 and 46=330 dimples on each ball

Help me please with this question

Answers

Your answer is 105 my friend!

In total there are 53,444 adults at a football match there are 4300 more women then men at the match how many men are at the match

Answers

Answer:

There are 24,572 men.

Step-by-step explanation:

Let men = m, let women = w.

m + w = 53,444

w = 4300 + m

m + (4300 + m) = 53,444

m + m + 4300 = 53,444

2m + 4300 = 53,444

2m = 53,444 - 4300

2m = 49144

m = 49144/2

m = 24,572

Paul was thinking of a number.Paul doubles it and gets a answer of 13.1.What was the orginal number?

Answers

Answer:

See below:

Step-by-step explanation:

So first, Paul has a number that he got before he multiplied it, we can call that [tex]p[/tex], and for his answer after doubling it. we'll call it [tex]n[/tex].

So with this information, we know that [tex]n=13.1[/tex] so we can use that to make an equation.

[tex]p*2=n\\p*2=13.1[/tex]

We can solve it by first dividing on both sides and getting our answer.

[tex]p=\frac{13.1}{2} \\p=6.55[/tex]

Cheers! We get our final answer of 6.55.

How would you solve for x and y and what are x and y? Not sure what to do.

Answers

Answer:

x = 26 2/3

y = 50

Step-by-step explanation:

you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles

2y - 3x = -3x + y + 50

add 3x to each side to get:

2y = y + 50

y = 50

also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line

3/2y + 25 - 3x = 180

subtract 25 from each side to get:

3/2y - 3x = 155

substitute 50 for 'y' to get:

3/2(50) - 3x = 155

75 - 3x = 155

-3x = 80

x = 26 2/3

What is a trend line in math.

Answers

Answer:

Determining if a set of points exhibits a positive trend, a negative trend, or no trend at all.

A trend line, often referred to as a line of best fit, is a line that is used to represent the behavior of a set of data to determine if there is a certain pattern.

The bearing of a point Q from a point P is 048 degree. find the bearing of P from Q.​

Answers

Answer:

Vector PQ = 48 deg

Vector QP = -PQ =  48 + 180 = 228 deg

Note that 228 is 48 deg below the -x (180) axis

What is (-2) power 5?

Answers

Answer:

-32

PA BRAINLIEST

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

-2 to the power of 5 is -32

Prize Pooches charges a flat monthy lee or $22, plus $3.65 per hour. Daring Dogs
charges a flat monthly fee of $25, plus $3.40 per hour. After how many hours of
training, h, will Prize Pooches cost more than Daring Dogs?
A)h < 12
B)h = 12
C)h > 12
D)h> 0.75

Answers

Answer:

C.) H> 12

Step-by-step explanation:

1. At 12 hours Prize pooches has a total of $65.8

at Daring dogs it's rate is also $65.8.

2. Anything greater than 12 hours though, Prize pooches starts to have a higher total.

solve the system {2x+y=8 using substitution method.


{x-y=6 using elimination method


please answer my question ​

Answers

Answer:

y = -4/3

x = 14/3

Step-by-step explanation:

2x+y=8

x-y=6

First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.

2x+y=8

2x-2y=12

Then we need to subtract equation 1 from 2.

3y=-4

Solve normally

y = -1.33333 / -4/3

Substitute

x - (-4/3) = 6

x = 14/3

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]

2x+y=8________(i)x-y=6_________(ii)

from equation (i):-

[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]

put value of x in eq (ii)

[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]

put value of y in eq (i)

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

now,

By elimination method:-

[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]

put value of y in equation (i)

[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]

If you add the lengths of the focal radii of an ellipse, what other value will you produce?

Answers

Answer: the length of the major axis

Step-by-step found it on Quizlet and got it right on the quiz

If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.

What is the major axis of an ellipse?

The major axis of an ellipse is the line segment connecting the two vertices.

Since, the sum of focal distances of a point on ellipse is constant.

And it is equals to the length of major axis.

Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.

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Which of the following can be the sides of a right angled triangle?
(i) 1.5 cm, 2 cm, 3 cm (ii) 6 cm, 1.1 cm, 6.1 cm

Answers

Answer:

(ii) 6 cm, 1.1 cm, 6.1 cm

Step-by-step explanation:

Knowing that all right triangles obey the Pythagorean Theorem, we can test both sets of numbers. The longest of the 3, the hypotenuse, is substituted to the c value of the equation a^2 + b^2 = c^2. If the equation is still true after substituting and simplifying both sides, that combination of triangle lengths is the correct answer. In this case, 6^2 + 1.1^2 and 6.1^2 are both equal to 37.21, so the second set is correct.

Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?

Answers

Answer:

no if the diameter was 7.2 inches the circumstance would be 22.62 :)

What is the sale price?
30 pts

Answers

Answer:

Sales Price = $8.75

Step-by-step explanation:

Original Price - Discount = Sale Price

=> 12.50 - 3.75 = Sales Price

=> Sales Price = $8.75

Hoped this helped.

Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.

Answers

Using compound interest, it is found that Blake receives an annual rate of 4.27%.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

Ivan's parameters are given by:

Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.

Hence:

[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]

[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]

Blake's parameters are given by:

Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]

Thus:

[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]

These amounts are equal, hence:

[tex]A_i(t) = A_b(t)[/tex]

[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]

[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]

[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]

[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]

[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]

[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]

[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]

[tex]0.12367872103r = 0.01057023172 [/tex]

[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]

[tex]r = 0.0854[/tex]

Blake's rate is:

[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]

Blake receives an annual rate of 4.27%.

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Can someone solve 33 and 34 for me

Answers

Answer:

33. 320 (D)

34. 5 (A)

Step-by-step explanation:

33.

(14+3+3) x (10+3+3)

17+3 x 13+3

17x16

320

34.

P(28)=x+x+(x+4)+(x+4)

28=4x+8

-8       -8

20=4x

/4   /4

5=x

The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?

Answers

Answer:

21

Step-by-step explanation:

Mean is the average of the objects

With five people, the mean is the average age of these people so what did you divide 5 into to get 39.

5 × 39 = 195

After a person enter the room, total 6 in the room with a mean of 36.

6 × 36 = 216

Now the age of the person who entered the room  216 - 195 = 21

PLEASEEE HELPPP ASAPP!!!!

Answers

Answer:

i gauth math NYU po meron yan

Which inequality is a true statement?

Select each correct answer.


−4 = −5

−4 ≤ −5

−4 < −5

−4 > −5

−4 ≥ −5

Answers

Answer:

i think -4>-5

Step-by-step explanation:

because (-4)is greater than (-5)

Trust Officer Megan is the trust officer for an estate. If she
invests $15,000 into an account that carries an interest rate
of 8% compounded monthly, how long will it be until the
account has a value of $45,000 for Megan's client?
a

Answers

Answer:

????????

Step-by-step explanation:

i don't know if I can help with the subject line

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The standard form for finding the equation of a circle is expressed as;

⇒ (x - a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

And, r is the radius of the circle

Given that;

Diameter = 12 units

And, Radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have;

⇒ (x - 0)² + (y - 3)² = 6²

⇒ x² + (y - 3)² = 36

Thus, The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

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What is the sale price of a $825 tablet that has a 1/4 discount

Answers

Answer:

206.25

Step-by-step explanation:

825/2=412.5

412.5/2=206.25

1/4 is equal to 25% so multiply 0.25 and 825 to get $206.25 discount. Now, subtract $206.25 from $825 to get the answer of $618.75!

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

15lb

Step-by-step explanation:

1lb=453.59

What is the value of H in the diagram below?

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5

On August 19, 2002, the ratio of stocks gaining value on the New York Stock
Exchange to stocks losing value was about 43 to 20. If 869 stocks lost value, how
many gained?
A)892
B)1953
C)1797
D)1868

Answers

Answer:

D: 1868

Step-by-step explanation:

43:20 ratio

43/20 = 2.15

869 * 2.15 = 1,868.35

round down to nearest whole number

1,868

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