The ratio of Michaels's points on an English test to Paloma's points on the same test is 12:11. The ratio of Michaels's points on the English test on the same test was 4:3. the 3 students score a total of 224 points on the same test. What is the difference between Palomas and Antons' points on the English test? Try to explain fully, if possible. Thank you SO MUCH!

Answers

Answer 1

The difference between Palomas and Antons' points on the English test is of 14 points.

What is Ratio ?

When two numbers can be written in the form as p:q , they are said to be in Ratio.

It is given that

The ratio of Michaels point to Paloma point is 12 :11

The ratio of Michaels point to Anton's Point is 4:3

Let Paloma's point be x

then Michaels point will be 12x/11

and Anton's points will be

(12x/11 ) / Anton's points = 4 /3

Anton's points = 9x/11

It is given that the sum of the points of the three students is 224

so

x + (12x/11)+ (9x/11) = 224

32x /11 = 224

x = 77

Paloma's points = 77

Anton's Points = 9x/11 = 63

The difference between Palomas and Antons' points on the English test

=77 -63

= 14 points.

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Related Questions

The histogram to the right represents the weights​ (in pounds) of members of a certain​ high-school math team.
How many team members are included in the​ histogram?

Answers

Answer:

The basic way to calculate the number of members is finding the area under the curve. The total members are 20

Step-by-step explanation:

The given graph shows that how many team members have a particular weight.

The first rectangle shows that 5 team members have a weight of 115kg.

The second rectangle shows that 3 team members have a weight of 115kg.

The third rectangle shows that 2 team members have a weight of 115kg.

The forth rectangle shows that 0 team members have a weight of 115kg.

The fifth rectangle shows that 3 team members have a weight of 115kg.

The sixth rectangle shows that 4 team members have a weight of 115kg.

The seventh rectangle shows that 3 team members have a weight of 115kg.

So, the total team members are = 5 + 3 + 2 + 0 + 3 + 4 + 3 = 20

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I need help!!!!
True OR False
------------------------
m - 63 = 37, m = 100?

Answers

Answer:

The answer is true!!!

Step-by-step explanation:

If m=100, 100-63=37 which is true.

Answer: A) True

Detailed Solution:

m - 63 = 37
m = 63 + 37
=> m = 100

Therefore, m = 100 so this Statement is True.

Solve for x: 4(x + 2) = 3(x-2)

Answers

The answerrr is 18 for thisvprblme

If 2 times the sum of two consecutive even numbers is greater than 94, what is the smallest possible value of the larger number?

Answers

Answer:

26

Step-by-step explanation:

Define the variables:

2n = first even number2n + 2 = consecutive even number

Given information:

2 times the sum of two consecutive even numbers is greater than 94

Create an inequality from the defined variables and the given information:

⇒ 2(2n + 2n + 2) > 94

Solve the inequality:

⇒ 2(4n + 2) > 94

⇒ 8n + 4 > 94

⇒ 8n > 90

⇒ n > 11.25

Therefore:

2n > 22.52n + 2 > 24.5

As 2n and 2n+2 are even numbers:

smaller number (2n) ≥ 24larger number (2n + 2) ≥ 26

Therefore, the smallest possible value of the larger number is 26.

NEED HELP ASAP 1 HOUR LEFT

Answers

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

[tex]x_v = -\frac{336}{2(-0.5)} = 336[/tex][tex]y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448[/tex]

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At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected. O 3p+p-52 52+p-3p At the beach , Nardia collected triple the number of seashells that Pierre did . Together , they collected 52 seashells . Which equations represents p , the number of seashells that Pierre collected . O 3p + p - 52 52 + p - 3p​

Answers

Answer:

If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p

Please Help!!!! This Sucks

Answers

Answer:

Step-by-step explanation:


Which is equivalent to 80^1/4x

Answers

Answer:

x=20

Step-by-step explanation:

80^1/4x

or,80/4=x

or,20=x

•°•x=20

ans

Complete the steps 4/9 divided by 1/2

Answers

Answer: 0.88 (the 8 recurs)

Step-by-step explanation:

[tex]\frac{4}{9}[/tex]÷[tex]\frac{1}{2}[/tex]

[tex]\frac{4}{9}[/tex]×[tex]\frac{2}{1}[/tex]  (Then the the fraction should reciprocal so the values should shift to          the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)

then u should multiply the two fractions which gives 8/9

next you should divide 8 by 9 which gives 0.88(the number eight is recurring which means that the number 8 keeps repeating no matter how many times you try to divide)

Priya wants to sketch a graph of the polynomial f defined by f(x)=x^3+5x^2+2x-8. She knows f(1)=0, so she suspects that (x-1) could be a factor of x^3+5x^2+2x-8 and writes (x^3+5x^2+2x-8) = (x-1) (?x^2+?x+?) and draws a diagram.

1. Finish Priya's diagram
2. Write f(x) as the product of (x-1) and another factor.
3. Write f(x) as the product of three linear factors.
4. Make a sketch of y=f(x).

Answers

Given the polynomial f(x)=x³+5x²+2x-8 and f(1)=0.

Factorization is the process of determining the components of a given value or mathematical statement. The integers that are multiplied to create the original number are known as factors. The components of 18 include, for instance, 2, 3, 6, 9, and 18, as well as;

18 = 2 x 9

18 = 2 x 3 x 3

18 = 3 x 6

In a similar way, the factors in the case of polynomials are the polynomials that are multiplied to create the original polynomial. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3. We can also locate the polynomials' zeros after factorization. Zeroes in this situation are x = -2 and x = -3.

2. Now, to write f(x) as the product of (x-1) and another factor.

x³+5x²+2x-8 = (x-1)(x²-6x+8).

3. Now, to write f(x) as the product of three linear factors.

x³+5x²+2x-8 = (x-1)(x²-6x+8)= (x-1)(x-4)(x-2)

4. Look at the sketch below.

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help i am struggling

Answers

Choice D. Add exponents of the 7’s on top, and subtract from bottom exponents to get 7^4. Then same idea it would be 2^-4 so 1/ 2^4. But since multiplying by 7^4 it would go on top, getting 7^4 / 2^4, which is choice D.

Answer: it's D

Step-by-step explanation:

wonder woman made a reglangular fence around her invisable airplane so it would not get hurt by her dog. her fence was 4ft long, 2 ft wide, and 3 ft high. how much material did she use t make her fence

Answers

Answer:

36 ft^2

Step-by-step explanation:

Perimeter = 4 + 4 + 2 +2 = 12 feet

  12 feet x 3 feet high = 36 ft^2

In MODE, (second line), fix the number of decimal places to be 2. Then the slope and the y-intercept values of the LinReg line will round to the nearest hundredth. Find the LinReg line of best fit for the National Health Expenditures data. Then predict national health expenditures for 2010. (Hint: You may have to expand the calculator window to include the year 2010 on your screen.)

Answers

The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.

What is the equation of a line passing through two points?

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

In MODE, (second line), fix the number of decimal places to be 2.

Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.

(x₁, y₁) → (1997, 1093)

(x₂, y₂) → (2002, 1553)

Then we have

y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)

y – 1093 = [460  / 5] (x – 1997)

y – 1093 = 92 (x – 1997)

           y = 92x – 182631

If x = 2010, then the value of y will be

y = 92 × 2010 – 182631

y = 184920 – 192631

y = 2289

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If c = 7, then the value of b is...

Answers

Answer:

3.5

Step-by-step explanation:

The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.

Special Right Triangles

Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.

Formulas

30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).

The formulas are as follows:

c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]

Solving for b

We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.

b = 0.5(7)

Once simplified the final answer is

b = 3.5

Two students are registered for the same class and attend independently of each other, student a 90% of the time and student b 70% of the time. the teacher remembers that on a given day at least one of them is in class. what is the probability that student a was in class that day

Answers

The probability of student A is 15/44

Given student A is 70% of time and student B is 60% of time

We need to find the probability of student A

Using formula of conditional probability is P(X/Y) = P(X and Y) / P(Y)

Here X = A and Y = A or B

Therefore,

P(A/A or B) = P(A and (A OR B) / P (A or B)

Now, There is none complement for at least 1

We know that Student A attends 70 % of time

So , his absence is 30% of the time .

Hence the probability of absence is 0.3

Now Considering B in the similar way

We get,

Probability of the absence is 0.4

They are both absent (0.3)(0.4)= 0.12

Here we can say that 12 % of time both are absent

So one or another present on that time is 88%

The probability of present of the time is 0.88

Now calculating the probability,

P(A/A or B) = P(A and (A OR B) / P (A or B)

= 0.3/0.88

= 30/88

= 15/44

Hence the Probability Of A is 15/44

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Derive tan(A+B)+tan(A+B)- tan(A+B)+tan(A+B).​

Answers

Step-by-step explanation:

the answer will be zero 0

Which is a sum of cubes?

a3 + 18
a6 + 9
a9 + 16
a12 + 8

Answers

Answer:

a^12+8

Step-by-step explanation:

let's check all the expressions

1. a^3+18

here 18 is not a perfect cube.

2. a^6+9

here 9 is not a perfect cube.

3. a^9+16

here 16 is not a perfect cube.

4. a^16+8

here 8 is a perfect cube, thus we can write above expression by using laws of exponents as

(a^4)^3+2^3

Thus,  is a sum of cubes.

a^12+8

If a varies directly as the square of b, and a = 4 when b = 3, find a when b = 2

Answers

Answer:

a = 46. Look down to find out more↓:

Step-by-step explanation:

a = kb²

4 = k(3)²

4 = k9

k = 4/9

a = 4/9(9²)

a = 4/9 (81)

a = 324/9

a = 36

If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?

Answers

7.7278 g/ml is the most accurate density of the substance.

What is density?

It is define as the quantity per unit volume, unit area, or unit length.

i.e. the mass of a substance per unit volume.

Mathematically,

[tex]\rho =\frac{m}{v}[/tex]       ----- equation  (1)

Where,

p is the density

m is the mass

v is the volume

According to the question,

Mass = 27.82 grams  

Volume = 3.6 ml

By substituting the Value of m and v in equation 1.

[tex]\rho =\frac{27.82}{3.6}[/tex]

[tex]\rho = 7.7277777 g/ml[/tex]

Therefore,

The most accurate density of the substance in g/ml is  7.7277777 g/ml.

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a hyperbola centered at the origin has vertices PLEASE HELP QUICK

Answers

The equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Given, that a hyperbola centred at the origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0)

What is hyperbola?

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

The formula for a hyperbola centred at the origin is [tex]\frac{x^2}{a^2} -\frac{y^2}{b^2 } =1[/tex]

The vertices are located at (±a, 0), so we have that the value of a is [tex]\sqrt{61}[/tex].

The foci are located at (±c, 0), where [tex]c^2 = a^2 + b^2[/tex].

So if we have that [tex]c = \sqrt{98}[/tex], we can find the value of b:

[tex]98 = 61 + b^2[/tex]

⇒ [tex]b^2 = 37[/tex]

⇒ [tex]b = \sqrt{37}[/tex]

So, the formula for this hyperbola is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Therefore, the equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

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albert worked for 8 hours and earned $24. how much does albert earn for 24 hours

Answers

Answer:

$72

Step-by-step explanation:

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.

1. Which one of the following statements is, correct about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric

2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b.

Answers

Sue's estimate is best because she throws it more times than Eric. Regarding the probability of Aadi obtaining tails, Statement C is accurate.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.

Ten biased coin throws are made by Eric. He is dealt 3 tails. Sue tosses a coin 50 times. I give her 20 tails.

Aadi will only toss the coin once. Regarding the probability of Aadi obtaining tails.

Sue's estimate is best because she throws it more times than Eric.

Hence option C is correct.

2)

An estimate for the likelihood that Aadi will receive tails using the findings of Eric and Sue. 3/20 will be the fraction of the form a/b.

The probability of the Aadi getting tails;

P(Aadi) = 3 / 360 = 1/120

P(Sue) = 20/50×36 = 1/90

Hence the fraction in the form of a/b willl be 4/3.

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What are the solutions, if any, of the equation x2−25=−7?

Answers

Answer:

[tex]x=\pm3\sqrt{2}[/tex]

Step-by-step explanation:

1) Add 25 to both sides.

[tex]x^2 = -7 + 25[/tex]

2) Simplify -7 + 25 to 15.

[tex]x^2=18[/tex]

3) Take the square root of both sides.

[tex]x=\pm18[/tex]

4) Simplify [tex]\sqrt{18}[/tex] to [tex]3\sqrt{2}[/tex].

[tex]x=\pm3\sqrt{2}[/tex]

Absolute value of (0, -4/5)

Answers

To answer this question, we need to know what absolute value is in the first place. ANSWERS ARE AT THE BOTTOM.

Absolute value represents how far something is from 0 in a number line.

For example, lets take 4.

4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.

Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.

Now let's look at your problem.

You want the absolute value of 0 and -4/5

Following the same principle above about the distance from 0, here are your answers:

Absolute value of 0: 0

Absolute value of -4/5: 4/5

In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.

s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s

Answers

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

How to determine the arc length?

The attached image completes the question

The given parameters are:

Angle = ΘRadius = r

Since, the angle is in radians.

The arc length is calculated as:

Arc length = Angle * Radius

So, we have:

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

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3. Solve the following system of equations. 2v 3w = 16 2u + w = 4 v/6 - u/6 = 1​

Answers

Answer:

this is what i got

options for 1 or two are not available but i got c= radical 125

Answers

Answer:

[tex]c=4 \sqrt{2}[/tex]

Step-by-step explanation:

Pythagoras Theorem

    [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given values:

a = 4b = 4

Substitute the given values into Pythagoras Theorem formula and solve for c:

[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}[/tex]

Therefore, the measure of the third side of the given right triangle is [tex]4 \sqrt{2}[/tex]

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what is the answer??? so confused

Answers

Answer:

3  1/2

Step-by-step explanation:

Put '3' where 'y' is and compute :

[12 -3(3) ] / 2   + 3 [ (2(3)-4 )/3) =

   3/2              +   2  

    =   3  1/2

In a stadium, 1,000 tickets were sold. Children’s tickets cost $2.50 each and adults’ tickets cost $5.00 each. The revenue collected for the game was $4,000. How many children’s tickets were sold? How many adults’ tickets were sold?

Answers

Answer:

400 children tickets and 600 adult tickets.

Step-by-step explanation:

children tickets in total cost=400x2.50

                                             =1000

adult tickets in total cost=600x5.00

                                             =3000

total cost is 4000

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
(Answer is not 10 cents) Tried it

Answers

the answer is 5 cents because if the bat is a dollar more, then it the bat would be $1.05, and 0.05 + 1.05 = $1.10

you could also use the equation x + (x + 1) = 1.10 where x is the cost if the ball and x + 1 is the cost of the bat. x + x + 1 is the same as 2x + 1 = 1.10, and when solved x = 0.05.
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On December 1, Jasmin Ernst organized Ernst Consulting. On December 3, the owner contributed $85,360 in assets in exchange for its common stock to launch the business. On December 31, the companys records show the following items and amounts. Cash $ 7,010 Cash dividends $ 3,390 Accounts receivable 18,350 Consulting revenue 18,350 Office supplies 4,480 Rent expense 4,820 Office equipment 19,360 Salaries expense 8,370 Land 46,040 Telephone expense 910 Accounts payable 9,740 Miscellaneous expenses 720 Common stock 85,360 A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket ______ for an expatriate is the combination of many types of payments or reimbursements and must take into consideration exchange rates and inflation. 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