Equivalent to -9y+2x

Answer: 7700 committee

Step-by-step explanation:

Given that  In class A there are 15 girls and 17 boys.  And In class B, there are 19 girls and 10 boys

To find  possible committees of 3 such that the total of committee members of both classes combined consists of 4 girls, we will use combination technique

(15C2 × 17C1) + (19C2 × 10C1)

Or

(15C1× 17C2) + (19C3 ×10C0)

Or

(15C3 × 17C0) + (19C1 × 10C2)

Note that "or" means addition

(1785 + 1710) + (2040 + 855) + (455 + 855)

= 3495 + 2895 + 1310

= 7700 committee

Answer:

  1          

 — = 0.04167

 24          

Step-by-step explanation:

Step  1  :

                5

Simplify   —

                8

Equation at the end of step  1  :

 5

— ÷ 15

 8

Step  2  :

            5      

Divide  —  by  15

             8      

Final Answer:

1

__  = 0.04167

24

Answer:

8 cup of blue

12 cup of red

Step-by-step explanation:

The first thing is to calculate how much black paint is produced, assuming that the volumes add up, we have to:

1/2 + 1/3 = 5/6

5/6 cup of paint is produced, I want to know how much I need to produce 20 cups, I divide the value I want by the ideal value, that is, 5/6 and thus I obtain the factor that I require:

20 / (5/6) = 24

Now I multiply by 24 each quantity of blue and red paint

1/2 * 24 = 12

1/3 * 24 = 8

Which means you need 12 cups of red paint and 8 cups of blue paint

Answer:

4

Step-by-step explanation:

Im not quite sure how to explain this without a picture. But its the thing where you do the opposite to each side to find the value of X.

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

9x - 13 = 23

     +13    +13

9x                  36

_       =            _

9                     9

       x=4

Answer:

H₀: p=0.76

Ha :p < 0.76

Step-by-step explanation:

A null hypothesis is the common accepted fact that the researcher works to prove it wrong. In this case, the survey revealed that 76% of US adults admit they lie to their doctor about how often they exercise. This forms the null hypothesis.

The alternative hypothesis suggest that a new theory is happening unlike the original one.In this case,  Dr. Moffett believes the percentage seems high, so the alternative hypothesis is that the percentage is lower than 76%

Answer:

H0: p = 0.76; Ha: p < 0.76

Step-by-step explanation:

I took the quiz and got it right

Answer:

El primer paso será darle un nombre a nuestras variables:

x= Numero de libros comprados inicialmente

y=Precio inicial de los libros

Ahora analizamos el enunciado,

Lorena ha comprado libros todos del mismo precio por valor de 120 €

x*y=120 € (1)

El librero le regala 3 libros por lo que en realidad cada libro que cuesta 2 € menos

(x+3)(y-2)=120€ (2)

Tenemos entonces dos ecuaciones con dos incógnitas, así que podemos resolver,

Despejamos en (1)

x=120/y

Sustituimos en (2)

(120/y +3)(y-2)=120

120 - 240/y + 3y -6 =120

3y-240/y =120-120+6

3y -240/y =6

y- 80/y=6

y²-80=6y

y²-6y-80=0

Resolvemos la ecuación de segundo grado

a=1

b=-6

c=-80

Aplicando la resolvente,

(6+- √36+320)/2

6+-√356/2

(6+-18,86)/2

Como el valor de y no puede ser negativo la unica respuesta válida será:

y=12,43

Cada libro le costo 12,43€

Sustituyendo en (1)

x=120/12,43

x=9,65 como no puede ser un número racional

x=9

Lorena ha comprado 9 libros

Ana originally bought 12 books.

Let's say Ana originally bought x books, each costing p euros.

The total cost of all the books is 120 euros, so we can write the equation:

x * p = 120

After the bookseller gives Ana 3 free books, the new total number of books she has is x + 3 and each book costs p - 2 euros.

The new total cost of all the books is still 120 euros, so we can write the equation:

(x + 3) * (p - 2) = 120

Simplifying this equation, we get:

px + 3p - 2x - 6 = 120

Combining like terms:

px - 2x + 3p - 6 = 120

Substituting the equation px = 120, we get:

120 - 2x + 3p - 6 = 120

Simplifying further:

3p - 2x - 6 = 0

Let's rewrite this equation:

3p - 2x = 6

When we substitute the equation px = 120 into this equation:

3p - 2(120/p) = 6

Simplifying:

3p - 240/p = 6

Multiplying through by p:

3p^2 - 240 = 6p

Rearranging:

3p^2 - 6p - 240 = 0

Using the quadratic formula to solve for p:

p = (-(-6) ± sqrt((-6)^2 - 4*3*(-240)))/2*3

p = (6 ± sqrt(36 + 2880))/6

p = (6 ± sqrt(2916))/6

p = (6 ± 54)/6

For the positive value of p:

p = (6 + 54)/6 = 60/6 = 10

Now, substituting p = 10 back into the equation px = 120:

10x = 120

x = 120/10 = 12

So, Ana originally bought 12 books.

Pls mark Brainliest.

Answer:

210°

Step-by-step explanation:

360° is a full rotation. 'Of' also represents a multiplication sign in some places. It basically means that 7/12 of a full rotation is the same as 7/12 * 360° which is equal to 210°.

The equivalent of 7/12 of a full rotation (360°) is; 210°.

According to the question;

We must however remember that a full rotation is given as the angle at a point;

In essence, a full rotation in degrees is 360°.

Consequently;

Read more:

https://brainly.com/question/2422380

Answer:

Robin's mean score is lower than Evelyn's mean score. This means Robin is winning as you need to minimise your score in order to be as close to the target as possible.

Evelyn because she has a better mean then robins

Evelyn has the greater mean. It indicates that, on average, her objects landed farther away from the center than Robin’s. This difference means that Robin is winning the game.

i hope it helps :)

The answer is C

Because the sum of the angles are not up to 180

which makes way for other angles.

Option B, three side lengths measuring 7m, 10m, and 12m can create more than one triangle because there are multiple ways the sides can be oriented to create different internal angles, therefore creating multiple triangles.

The question is about constructing triangles from given dimensions and determining which sets of dimensions can create more than one triangle. In geometry, for a set of dimensions to produce more than one unique triangle, it must not fully determine the shape of the triangle. The axiom that the sum of the angles in a triangle is exactly 180 degrees is key to answering part of this question. Here are the evaluations based on the given options:

Upon evaluating the provided dimensions:

Therefore, the correct answer is B: Three sides measuring 7m, 10m, 12m can create more than one triangle.

Answer:

C) all values of x

Step-by-step explanation:

The denominator has no real roots which means it's not 0 for any x. Hence x can take any real value

Answer:

C

Step-by-step explanation:

All values of x

I hope this is what you need

Answer:

20 meters

Step-by-step explanation:

Seeing the image attached, we can observe that there is a triangle formed by half of the chord of the arc, the radius (hypotenusa) and part of the radius (r-4). Using pythagoras theorem in this triangle, we have:

(r-4)^2 + 12^2 = r^2

r^2 - 8r + 16 + 144 = r^2

8r = 160

r = 20

So the radius of the circle that contains this arc is 20 meters.

Answer:

20 m

Step-by-step explanation:

radius 'r', half the chord, and dist from center to the chord  has formed a right angle triangle

where,

r  is hypotenuse

(r-4) = one side i.e dist from center to chord)

12 = other side i.e half the length of the chord)

By applying Pythagoras theorem, we will have

r² = 12² + (r-4)²

 r²= 144 + r² - 8r + 16  --->(cancel out r²)

0 = -8r + 160

8r = 160

r = 160/8

r = 20 m

Thus, the radius of the circle containing this arc  is 20m

You can also verify this :

distance from center to chord: 20 - 4 = 16

r = [tex]\sqrt{16^{2}+12^{2} }[/tex]

r = 20

its 350 because you -250 + 650 = 350

Answer:

More than 250 miles

Step-by-step explanation:

Rental cost of company A is $80 + $0.6 per mile driven and company B also has a rental cost of $30 + $0.8 per mile driven.

To find the moment when company A rental cost matches that of company B,we have to create an equation that is ideal for both parties.

80 +0.6x = 30 + 0.8x

Where x is the number of miles traveled by both trucks.

Simplifying the above equation, we have

0.2x = 50 divide both sides by 0.2

= 250 miles is when both rental cost matches .

Therefore, the number of miles needed to be driven so as the rental cost of company A to better company B should be more than 250 miles

To determine when renting a truck from Company A becomes cheaper than Company B, we set the cost equations for both companies equal and solve for the number of miles. In this case, Company A becomes the better deal when the truck is driven more than 250 miles in a day.

The cost of renting a truck from each company can be defined using linear equations: Company A's cost as $80+0.60x = y$ and Company B's cost as $30+0.80x = y$, where 'x' is the number of miles driven and 'y' is the total cost. To find out when Company A's cost is less than Company B's, we set the equations equal to each other and solve for 'x': $80+0.60x = $30+0.80x$. Simplifying this equation gives, $x = ((80-30)/(0.80-0.60))$, thus 'x' = 250. Therefore, for company A to be a better deal, the truck must be driven more than 250 miles in a day.

https://brainly.com/question/32634451

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Given:

A composite figure made up of a rectangle and two pentagons.

To find:

The area of the composite shape.

Solution:

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

[tex]A=\frac{5}{2} (a)(s).[/tex]

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon [tex]= \frac{5}{2} (5.5)(8) = 110[/tex] sq units.

The area of 2 such pentagons [tex]= 2(110)= 220[/tex] square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the rectangle [tex]= (14)(8)=112[/tex] square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape [tex]=220+112=332[/tex] sq units.

The area of the composite shape is option A. 332 sq units.

Answer:

280 miles of actual

Step-by-step explanation:

Given that:

<=> 1 inch on the map represents : 200/5 = 40 miles of actual

So the actual distance between the 2 cities is:

7*40 miles of actual

= 280 miles of actual

Hope it will find you well.

Answer:

36

Step-by-step explanation: All you have to do is multipy the area of the original figure by the scale factor. (18 times 2) which is 36.

You're welcome <3

Answer:

Its D.72

Step-by-step explanation:

Final answer:

To find the percent of students who voted for the athlete, divide the number of students who voted for the athlete by the total number of students, and then multiply by 100. This results in 25% of the students voting for the athlete.

Explanation:

To calculate the percentage of students who voted for the athlete, you would use the formula: part over total, times one hundred, equals percent. In this case, the part is the number of students who voted for the athlete (15), and the total is the combined number of students who voted for the athlete and actor (15 + 45).

So, the calculation would be as follows: (15 / (15 + 45)) x 100 = (15 / 60) x 100 = 0.25 x 100 = 25%. Therefore, 25% of the students voted for the athlete.

Answer:

Polygon: Octagon

Sides: 8

Angles: 8

Vertices: 8

Total interior angle: 1080

Step-by-step explanation:

8 sides so it's an octagonal figure,

8 sides, 8 vertices and 8 angles

Total angle:

(8 - 2)×180

1080

Answer:

7.14 Quarts of Liquid Fertilizer and

12.86 Quarts of Water

Step-by-step explanation:

Parts of Liquid Fertilizer Needed=5

Parts of Water Needed=9

Total=9+5=14

Therefore:

Proportion of Liquid Fertilizer Needed=5/14

Proportion of Water Needed=9/14

If she wants to make 20 Quarts of solution

Quarts of Liquid Fertilizer Needed=(5/14)*20=7.14 Quarts

Quarts of Water Needed=(9/14)*20=12.86 Quarts

Final answer:

To find the probability of getting at least 2 heads in three coin tosses, count the favorable outcomes (HHH, HHT, HTH, THH) and divide by the total outcomes. The probability is 4/8 or 1/2, which is 50%.

Explanation:

The question asks to calculate the probability of getting at least 2 heads when flipping a coin three times. The sample space for three coin tosses consists of 8 possible outcomes: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. To find the probability of getting at least 2 heads, we need to count the favorable outcomes which are: {HHH, HHT, HTH, THH}, and then divide this number by the total number of possible outcomes.

There are 4 favorable outcomes out of 8 possible, so the probability is 4/8 or 1/2. Therefore, the probability of obtaining at least 2 heads in three coin tosses is 0.5 or 50%.

The population of Leavetown after 100 years would be 111,17.5681.

Step-by-step explanation:

Given that,

Initial Population = I = 123,000

Decreasing Rate = r = 2.375 = 0.02375

We have to find the population after 100 years. So,

n = 100

The formula to calculate the population (P) after n years with a decreasing rate r is:

[tex]P = I (1-r)^{n}[/tex]

Now, put the values in this formula.

[tex]P = 123,000 (1-0.02375)^{100}[/tex]

[tex]P = 123,000 (0.97625)^{100}[/tex]

[tex]P = 11117.5681[/tex]

Hence, the population of Leavetown after 100 years would be 111,17.5681.

Answer:

There are 2 cups in a pint is correct

The correct measurement statement is that there are 4 pints in a quart. This conclusion is derived from understanding the relationship between cups, pints, and quarts in the customary system of measurement.

The correct measurement statement among the options provided is that there are 4 pints in a quart. This is because, in the customary system of measurement, one quart (qt) is equivalent to two pints (pt), and a pint is equivalent to two cups (c). Therefore, the relationship among these units of measure can be summarized as follows:

Thus, when we compare cups, pints, and quarts, we establish that the conversion factors are essential for accurate measurement in different scenarios, whether it be for cooking or scientific measurements.

Answer:

0.42074

Step-by-step explanation:

In this question, we are asked to calculate the probability that a car will get less than 21 miles per gallon.

This is P(x < 21)

z = 21-22/5 = -1/5 = -0.2

Therefore the probability of getting less than 21 miles per gallon will be;

P(x<21) = P (z < -0.2)

= 0.42074

Answer:

The correct answer is 6 hours.

Step-by-step explanation:

Let Mrs. Long rent the bounce house for x hours.

Fixed price to be charged is 145.

Per hour price of the bounce house is 35. Total price of x hours is 35x.

Thus total amount charged by the rentals is 145 + 35x.

Mrs. Long paid 355 in total.

∴ 145 + 35x = 355

⇒ 35x = 210

⇒ x = 6.

Thus Mrs. Long rented the bounce house for 6 hours.

THE ANSWER WOULD BE 40 × d

or 40d

Answer:

0.3678

Step-by-step explanation:

Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with parameter 1/20. Smith has a used car that he claims has been driven only 10,000 miles. If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?

Given that the total number of thousands of miles(X) that an auto can be driven

before it would need to be junked is an exponential random variable with parameter 1/20.

=> X ≅ Exponential(λ= 1/20)

=> f(x) = 1/20 * e^(-x/20) , 0 < x < ∞

=> F(X) = P{X < x} = 1 - e^(-x/20)

The probability that she would get at least 20,000 additional miles out of it.

P{X > 20} = 1-P{X < 20}

P{X > 20} = 1-(1 - e^(-20/20))

= e^(-1)

= 0.3678

Answer:

supplementary angles add up to 180°

given y=65° thus...

x+y=180°

x + 65°=180°

x=180°- 65°

x=115°

Answer:

x = 115°

Step-by-step explanation:

x ; y = suplementary =>

=> x + y = 180°  } => x = 180° - 65° = 115°

    y = 65°

Answer:

The slope is -2

Step-by-step explanation:

-6-2/4-0=-8/4=-2

Answer:

The slope is -2

Step-by-step explanation:

We can find the slope of a line given two points using

m = (y2-y1)/(x2-x1)

    = (2 - -6)/(0 -4)

    = (2+6)/(0-4)

     = 8/-4

      = -2

Answer:

Kevin is 7

Step-by-step explanation:

In 56 years if Kevin is 7 now he will be 63 and 7X9 = 63