A soccer league has 160 players. Of those players 50% are boys. How many boys are in the soccer league?

The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Given data;

z be the unknown number

Given conditions;

1. The difference between a number and −23.

2.−23 is equal to the product of the number and 13.

The mathematical form of the given phrase is;

⇒ z - (-23) = z × 13

⇒z+23 = 13z

⇒12z -23

The English phrase of the obtained equation is 12 times z subtracted by 3.

Hence the simplification of the given expressions is 12z -23.

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Answer:

30%

Step-by-step explanation:

The unemployment rate is 30%

To find the point of intersection of two lines, we can use substitution to find the x and y coordinates.

We're given:

Use substitution to find x:

[tex]-2x + 2=x-4\\-2x=x-6\\-3x=-6\\x=2[/tex]

Use substitution to find y:

[tex]y=x-4\\y=2-4\\y=-2[/tex]

The point of intersection is (2,-2).

Answer:

33 elements

Step-by-step explanation:

Set A has 59 elements. Set A and Set B share 26 elements.

This means that 26 out of the 59 elements in Set A are also in set B.

Therefore, to find the number of elements not in Set B, you need to subtract the common elements from the total amount of elements in Set A.

59 (total in Set A) - 26 (common in Set A) = 33 (unshared elements).

Step-by-step explanation:

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Answer:

8

Step-by-step explanation:

We need to sort your set into Least-to-Greatest order.

4, 5, 5, 6, 10, 11, 12, 13

That is your set in least to greatest order.

Which 2 numbers are in the middle?

They are 6 and 10.

Now, we find the mean of 6 and 10.

(6+10)/2 = 8

8 is your median

Answer:

if angle 2 is congruent to 6 them the slope of line o and q is equal

that is line o is parallel to q

Answer:

first 1*3+1-3*4+1

then it is in fraction

the answer is -5

Answer:

11 is best answer for it ....,..........

Answer:

10

Step-by-step explanation:

Applying the negative exponent, it is found that the equivalent expression to [tex]3^{-3}[/tex] is [tex]\frac{1}{27}[/tex].

When we have a negative exponent, we use a fraction, with the term with the exponent going to the denominator, as follows:

[tex]a^{-b} = \frac{1}{a^b}[/tex]

Hence, in this problem, the equivalent expression is:

[tex]3^{-3} = \frac{1}{3^3} = \frac{1}{27}[/tex]

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Answer:

2 and 1/4 cups

Step-by-step explanation:

4 cups-5 cups

5 cups-?

(5×5)÷4=6 cups and 1/4

6 and 1/4-4=2 cups and 1/4

Answer:

5/8

Step-by-step explanation:

5/8=0.6.25

0.625> all the other numbers

Answer:

40.9 %

Step-by-step explanation:

8.8   is   .4 hours above the mean this is  .4/1.77 = .226 standard deviations above the mean

 Using z-score table this corresponds to ~ .5910    (59.10%)

    this percentage is LESS than 8.8 hours

      the percentage ABOVE this is 40.9%

(Not asked, but this is  40.9 (40 ) = ~ 16 of the 40 mechanics sampled)

Answer:

[tex]\rm slope: -\dfrac{7}{6}[/tex]

[tex]\rm Distance: 2\sqrt{85} \ units[/tex]

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y }{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points are: (6, -6), (-6, 8)

Insert the values:

[tex]\sf \rightarrow slope: \dfrac{8-(-6)}{-6-6}[/tex]

[tex]\sf \rightarrow slope: \dfrac{8+ 6}{-12}[/tex]

[tex]\sf \rightarrow slope: \dfrac{14}{-12}[/tex]

[tex]\sf \rightarrow slope: -\dfrac{7}{6}[/tex]

[tex]\sf Distance \ between \ points : \sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Using the formula,

[tex]\sf d = \sqrt{(-6 - 6)^2 + (8-(-6))^2}[/tex]

[tex]\sf d = \sqrt{(-12)^2 + (14)^2}[/tex]

[tex]\sf d = \sqrt{144 +196}[/tex]

[tex]\sf d = \sqrt{340}[/tex]

[tex]\sf d = \sqrt{85 \times 4}[/tex]

[tex]\sf d = 2\sqrt{85}[/tex]

Hence, the distance is 2√85 units.

Hii!

___________________________________________________________

[tex]\stackrel\bigstar{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]

Slope =

Distance =

[tex]\stackrel\bigstar{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}[/tex]

[tex]\bullet[/tex] Let's work out the slope

[tex]\twoheadrightarrow\sf \cfrac{y2-y1}{x2-x1}[/tex]

[tex]\bullet[/tex] Stickin the values

[tex]\twoheadrightarrow\sf \cfrac{8-(-6)}{-6-6}[/tex]

[tex]\bullet[/tex] Simplify

[tex]\twoheadrightarrow\sf \cfrac{8+6}{-12}[/tex]

[tex]\bullet[/tex] Finish simplifying

[tex]\twoheadrightarrow\sf \cfrac{14}{-12}[/tex]

[tex]\bullet[/tex] Reduce the fraction

[tex]\twoheadrightarrow\sf \cfrac{7}{-6}[/tex]

[tex]\bullet[/tex] Work out the distance

[tex]\twoheadrightarrow\sf \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf \sqrt{(-6-6)^2+(8-(-6)^2}[/tex]

[tex]\bullet[/tex] Simplify the radical expression

[tex]\twoheadrightarrow\sf \sqrt{(-12)^2+14^2}\\\\\twoheadrightarrow\sf \sqrt{144+169} \\\\\twoheadrightarrow\sf \sqrt{340}\\\\\twoheadrightarrow\sf \sqrt{85\cdot4} \quad (simplifying\,the\,surd)[/tex]

[tex]\ddagger[/tex] [tex]\boldsymbol{DISTANCE=2\sqrt{85} \,Units}[/tex] [tex]\ddagger[/tex]

--

Hope that this helped! Best wishes.

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our system of inequalities is:

x + y ≤ 13.

x*$15 + y*$10 ≥ $180.

The graph can be seen at the end.

Here we have the variables:

We know that she can only work 13 hours per week, then we have:

x + y ≤ 13.

And she wants to earn at least $180 per week, then:

x*$15 + y*$10 ≥ $180.

So our system of inequalities is:

x + y ≤ 13.

x*$15 + y*$10 ≥ $180.

The graph of the system can be seen below. The solution set is defined by the zone where the two shaded regions intersect (where we also should add the restrictions x >0, y > 0).

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The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

900+50x=450+75x

To solve;

900 - 450 = -50x +75x

450 = 25x

x = 450 /25

x = 18

The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

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Answer:slope is 0.4

Step-by-step explanation:

y2-y1 divided by x2-x1

2-4/0-5=0.4

The margin of error will be 20 and 10 respectively.

The margin of error for Robert will be:

= 1.96 × 50/✓25

= 1.96 × (50/5)

= 1.96 × 10

= 20 approximately

The margin of error for Val will be:

= 1.96 × 50/✓100

= 1.96 × 50/10

= 1.96 × 5

= 10 approximately

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Answer:

 1.5

Explanation:

Given that:

While solving this problem, the above following is not required to use.

[tex]\rightarrow \sf log_b ([b^3])^{1/2}[/tex]

apply log rule

[tex]\rightarrow \sf \dfrac{1}{2}\log _b\left(b^3\right)[/tex]

[tex]\boxed{\sf \log _b\left(b^3\right)=3}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}(3)[/tex]

distribute

[tex]\rightarrow \sf \dfrac{3}{2} \quad or \quad 1.5[/tex]

The quotient is x+1.

Long division is a method for dividing one large multi digit number into another large multi digit number.

Given:

f(x)=  x²+2x+1

g(x)= x+1

The steps to divide the polynomial is :

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Answer:

24000

Step-by-step explanation:

6/5×20000

=24000

Answer:

It's A. (2, 0) and (0, -4)

Answer:792

Step-by-step explanation:

Answer:

Las dimensiones del rectángulo son:

ancho = 16 cm

largo = 20 cm

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

perímetro = 2(largo + ancho)

25% más grande = 125% = 125/100 = 1.25

Planteamiento:

2(a+b) = 72

b = 1.25a

a = longitud del ancho

b = longitud del largo

Desarrollo:

de la primer ecuación del planteamiento:

a+b = 72/2

a+b = 36

b = 36 - a        Ec. 3

Igualando la segunda ecuación del planteamiento con la Ec. 3:

1.25a = 36 - a

1.25a + a = 36

2.25 a = 36

a = 36/2.25

a = 16

de la Ec. 3:

b = 36 - a

b = 36 - 16

b = 20

Comprobación:

de la primera ecuación del planteamiento:

2(a+b) = 72

2(16+20) = 72

2*36 = 72

Answer: Choice C

As [tex]\text{x} \to \infty[/tex] then [tex]\text{y} \to -\infty[/tex]

As [tex]\text{x} \to -\infty[/tex] then [tex]\text{y} \to \infty[/tex]

Check out the diagram below.

========================================================

Explanation:

The leading term is the term with the largest exponent. That would be the term of [tex]-\text{x}^3[/tex]. The leading term directly determines the end behavior. The other terms will not play a role.

What this means is that the end behavior of [tex]\text{y} = -\text{x}^3 - \text{ax} + 3[/tex] is the exact same as the end behavior of [tex]\text{y} = -\text{x}^3[/tex]

As x gets really big in the positive direction, we'll have [tex]-\text{x}^3[/tex] get really small in the negative direction. For instance, x = 10 leads to [tex]-\text{x}^3 = -10^3 = -1000[/tex] and x = 100 leads to [tex]-\text{x}^3 = -100^3 = -1,000,000[/tex]

Therefore, as [tex]\text{x} \to \infty[/tex] then [tex]\text{y} \to -\infty[/tex]

Visually the graph goes forever downward when we move to the right. We can consider this as "falls to the right".

--------------------------------

The graph "rises to the left" because as [tex]\text{x} \to -\infty[/tex] then [tex]\text{y} \to \infty[/tex]

Here's a small table to give numeric examples:

[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}-1 & 1\\\cline{1-2}-10 & 1000\\\cline{1-2}-100 & 1,000,000\\\cline{1-2}\end{array}[/tex]

As x gets more negative, y becomes more positive. We have this opposite nature going on similar to the previous section.

This graph goes uphill when moving to the left.

Check out the graph below. In the diagram I used a = 2, but you could use any value of 'a' you want to get the same end behavior.

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the regular octagon is 8√58 units.

Perimeter is the sum of the length of the sides used to make the given figure.

For a regular octagon, the length of each side of the octagon is the same. Therefore, the length of a single side of the octagon is,

Length of the side of the octagon = √[(-4-3)² + (0 + 3)²] = √58

Now, the perimeter of the octagon is 8 times of√58.

Perimeter = 8 ×√58 = 8√58

Hence, the perimeter of the regular octagon is 8√58 units.

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The answer is 40/10 because the total number of square units is 40 option second 40/10 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is:

Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles.

Please refer to the attached picture.

We have a rectangular shape as shown in the picture.

Total number of square units = 40

Each row has 10 units cube.

Each cube = 40/10

Thus, the answer is 40/10 because the total number of square units is 40 option second 40/10 is correct.

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Answer:

The Equation of the line is y = [tex]\frac{-1}{3}[/tex]x + [tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Multiplication of slope of two perpendicular lines is = -1

first line is  y= [tex]\frac{1}{3}[/tex]x +6

slope of this line is [tex]\frac{1}{3}[/tex]

So the slope of the second line is : [tex]\frac{-1}{3}[/tex]

Equation of line would be written by using :

(y - y1) = m(x - x1)

here the line passing through (-4,5)

put the values in equation

y -5 =[tex]\frac{-1}{3}[/tex][x - (-4)]

3y - 15 = -x -4

3y = -x +11

y = [tex]\frac{-1}{3}[/tex]x + [tex]\frac{11}{3}[/tex]

So The Equation of the line is y = [tex]\frac{-1}{3}[/tex]x + [tex]\frac{11}{3}[/tex]

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