Find the value of x.

Answer:

B) x=12

Step-by-step explanation:

x+22+4x+2= 5x+24

5x+24=84

5x=60

x=12

Answer:

B. x = 12

Step-by-step explanation:

4x + 2 + x +22 = 84

5x + 24 = 84 ( addition property of equality)

5x = 60 (subtraction property of equality)

5x / 5 = 60 / 5 (division property of equality)

x = 12 (solved)

The number of men and women in the group will be 18 and 26 respectively.

Given is that there are eight more women than men in a theater group. The group has a total of 44 members.

Let the number of men in the group be {x}. Then, the number of women will be (x + 8). We can write -

x + (x + 8) = 44

2x = 36

x = 18

Number of women : x + 8 = 26

The number of women in the group will be 26.

Therefore, the number of men and women in the group will be 18 and 26 respectively.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Answer:

x ≈ 5.6 m

Step-by-step explanation:

using the sine ratio in the right triangle

sin34° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{10}\) ( multiply both sides by 10 )

10 × sin34° = x , then

x ≈ 5.6 m ( to the nearest tenth )

Answer:

(4 + 7i)(4 - 7i)

Step-by-step explanation:

Factors of the form of a conjugate pair always produce a real number

(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is

(a + bi)(a - bi) ← expand using FOIL

= a² - bi² ( i² = - 1)

= a² + b² ← a real number

Thus

(4 + 7i)(4 - 7i)

= 16 - 49i²

= 16 + 49 = 65

Answer:

the correct answer is the last one, (4+7i)(4-7i)

Step-by-step explanation:

Answer:

Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!

Step-by-step explanation:

Answer: 1650 spaces

Step-by-step explanation: 500 + 500 + 500= 1500 + 150 = 1650

Answer:

triangle

A=1/2 bh A=1/2 .1.4 . 2.6 A=1.82 m^2

Step-by-step explanation:

Answer:

The ratio of sides in a 30-60-90 triangle is 1:√3:2. Since the shortest side is the 1 in this case the other lengths are 15√3 and 30.

Answer:

we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

Step-by-step explanation:

We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

NEED MORE EXPLANATION?

The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

-13x + y = -12

Step-by-step explanation:

As,

Here when,

y = 13x - 12

-13x + y = -12.

[Since '+' sign converts to '-' sign on opposite side of the equation]

Answer: A

Step-by-step explanation:

Answer:

I believe A...

Step-by-step explanation:

Sorry if i'm wrong):

Option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

If three times a number is at least four or more than eight times the number,

Let x be the number

Mathematically, it can be written as:

3x is at least 4 + 8x

3x - 8x is at least 4

- 5x is at least 4

x is at least -4/5

Thus, option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ6

Answer:

math is hard

Step-by-step explanation:

Answer:900

Step-by-step explanation:

They are all different sizes.

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

The z-score of a person who scored 330 on the exam is approximately 2.7.

To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where:

z is the z-score

x is the raw score (330 in this case)

μ is the mean (195 in this case)

σ is the standard deviation (50 in this case)

Substituting the values into the formula, we get:

z = (330 - 195) / 50

z = 135 / 50

z = 2.7

The z-score of a person who scored 330 on the exam is 2.7.

The z-score measures the number of standard deviations a particular data point is away from the mean.

In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.

The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.

A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.

In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.

For similar question on z-score.

https://brainly.com/question/28000192

#SPJ11

Answer:

121

Step-by-step explanation:

cause if its on the oppsite side its going to be the same number

Answer:

1) \(\frac{(-2)^{-5}}{(-2)^{-10}}=-32\)

2) \(2^{-1}.2^{-4} = \frac{1}{32}\)

3) \((-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}\)

4) \(\frac{2}{2^{-4}} = 32\)

Step-by-step explanation:

1) \(\frac{(-2)^{-5}}{(-2)^{-10}}\)

Solving using exponent rule: \(a^{-m}=\frac{1}{a^m}\)

\(\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32\)

So, \(\frac{(-2)^{-5}}{(-2)^{-10}}=-32\)

2) \(2^{-1}.2^{-4}\)

Using the exponent rule: \(a^m.a^n=a^{m+n}\)

We have:

\(2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}\)

We also know that: \(a^{-m}=\frac{1}{a^m}\)

Using this rule:

\(2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}\)

So, \(2^{-1}.2^{-4} = \frac{1}{32}\)

3) \((-\frac{1}{2} )^3.(-\frac{1}{2} )^2\)

Solving:

\((-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}\)

So, \((-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}\)

4) \(\frac{2}{2^{-4}}\)

We know that: \(a^{-m}=\frac{1}{a^m}\)

\(\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32\)

So, \(\frac{2}{2^{-4}} = 32\)

Answer:

1,050

Step-by-step explanation:

3.5x

12x

25

=

1,050

Answer:

y = - \(\frac{2}{3}\) x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = \(\frac{0-(-3)}{-4.5-0}\) = \(\frac{0+3}{-4.5-0}\) = \(\frac{3}{-4.5}\) = - \(\frac{2}{3}\)

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - \(\frac{2}{3}\) x - 3 ← equation of line

7) The  probability that the two numbers have an even sum is: 0.5

8) The probability that the two are even is: 0.25

7) We want to find the probability that the two numbers have an even sum.

The only combinations that produces an even sum are:

(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)

The other combinations of numbers are:

(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)

Thus, we have a total of 16 combinations and the  probability that the two numbers have an even sum is:

P(two numbers with even sum) = 8/16 = 0.5

8) The probability that the two are even is:

4/16 = 1/4

= 0.25

Read more about spinner probability at: https://brainly.com/question/3765462

#SPJ1

Answer:

A) The quotient will be 1 17/22 which means it will be less because when dividing you get 78/44 which is then simplified and turned into a mixed number.

B) He mistake was she did the reciprocal of 13/4 instead of doing it for 11/6. So it should have been 13/4 times 6/11.

C) Correct quotient is 1 17/22 or 39/22

The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

Read more on sine rule;

https://brainly.com/question/27174058

#SPJ1

Answer:

12618

Step-by-step explanation:

23x23x23=12617

4•2=8

12617+8=12625

12625-7=12618

Answer: 9

Step-by-step explanation:

The correct answer to \(2^{3} + 4\) ⋅ \(2 - 7 = 9\)

I hope that helps :)

This is how you work it out:

A=  2 x 6 = 12m squared

B = 9 x 2 = 18m squared

C = 6 x 9 = 54m squared

if you need the total of these its right here: 90m squared

Hope this helps

Here ya go! Hope this helps!! :D

Answer:

-629.88

Step-by-step explanation:

Total winnings/losses for 543 plays=Expected payoff ⋅ Number of plays=−$1.16⋅543=−$629.88