I really need Help Please!!!!!!!!


ABCD is a parallelogram. If side AB = 10x - 15, side BC = 5x + 7, and side CD = 6x + 9, find the value of x.


x=____

Answer:

57 years

Step-by-step explanation:

Divide 400 by 7.

Final answer:

To model the cost of purchasing concert tickets where each ticket is $44 and there's a fixed handling fee of $12, the equation is T = 44n + 12, with T representing the total cost and n the number of tickets.

Explanation:

The question deals with constructing a mathematical model for the situation where an online ticket seller charges a fixed price for a concert ticket plus a handling fee. Here, the unknown variable is the total cost (T) for purchasing a certain number of tickets (n). The fixed price for each ticket is $44, and there is a flat handling fee of $12 regardless of the number of tickets purchased. Therefore, the equation to model the total cost would be:

T = 44n + 12

This equation clearly defines how the total cost is determined by the number of tickets purchased, with n representing the number of tickets and T the total cost.

Answer:

S22 for the arithmetic sequence is:

First option: 15.4

Step-by-step explanation:

a12=2.4

d=3.4

S22=?

Sn=(a1+an)n/2

n=22

S22=(a1+a22)22/2

S22=(a1+a22)11

ak=aj+(k-j)d

a12=a1+(12-1)d

2.4=a1+11(3.4)

2.4=a1+37.4

Solving for a1: Subtracting 37.4 both sides of the equation:

2.4-37.4=a1+37.4-37.4

Subtracting:

-35=a1

a1=-35

a22=a12+(22-12)d

a22=2.4+10(3.4)

a22=2.4+34

a22=36.4

S22=(a1+a22)11

S22=(-35+36.4)11

S22=(1.4)11

S22=15.4

Answer:

The answer is 43. Hope this helps!!!!!

Step-by-step explanation:

Answer:

The correct answer is that Thomas's age is 44.

Step-by-step explanation:

If the sum of their ages is 53 and Huilan is 9 years older all we have to do is subtract 9 from 53, which equals 44.

Hope this helps,

Davinia.

Answer:

The answer is D

Step-by-step explanation:

Trust me i just did it on USA TP

Answer:

last one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

He earns 9.75 per hour.

Step-by-step explanation:

195/20 = 9.75 and 9.75 x 20 = 195.

Answer:

All you will need to do is just divide 195 by 20 and your answer will be $9,75 cents. Hope this helps!!!!!

Answer: 8 hours

Step-by-step explanation:

Company 1: 3.25x + 26

Company 2: 3.50x + 24

3.50x + 24 = 3.25x + 26

0.25x  +24 = 26        subtracted 3.25x from both sides

0.25x = 2            subtracted 24 from both sides

x = 8               divided both sides by 0.25

Check:

Company 1: 3.25x + 26  =  3.25(8) + 26  = $52

Company 2: 3.50x + 24  = 3.50(8) + 24  = $52

Answer:

Decimal represents the number of people who earned a perfect score is 0.009 .

Step-by-step explanation:

As given

At a county fair, 9 people out of 1,000 earned a perfect score in a carnival game.

[tex]Number\ of\ people\ who\ earned\ a\ perfect\ score = \frac{People\ who\ earned\ perfect\ score}{Total\ number\ people}[/tex]

people who earned a perfect score = 9

Total number of people = 1000

Put in the above

[tex]Number\ of\ people\ who\ earned\ a\ perfect\ score = \frac{9}{1000}[/tex]

Number of people who earned a perfect score = 0.009

Therefore  decimal represents the number of people who earned a perfect score is 0.009 .

Answer:

TRUE

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM  {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL  {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congurent.

Hence given statement is TRUE.

The statement that if JK and LM are congruent and parallel, then angles JKL and MLK are congruent is false. Congruency of angles depends on more than just the congruency and parallelism of two lines.

In the field of geometry, just because two lines are congruent and parallel, this does not necessarily mean that the angles formed by the intersection of the lines with a third line are congruent. The statement 'If JK and LM are congruent and parallel, then JKL and MLK are congruent' is false. Congruency of angles JKL and MLK depends on the relationship between the two other sides of the angles, not solely the lines JK and LM. Therefore, for the angles to be congruent, additional conditions besides the congruency and parallelism of JK and LM must be satisfied.

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Answer:

120 people voted against building the new basketball court.

Step-by-step explanation:

if you divide 200 by 100 then you know how many people equal 1 percent of the 200. knowing that for every 2 people they are equal to 1 percent. so if you do 100 -40 you get 60. the 100 represents the 100 percent and you subtract 40 because these are the people who are voting for the basketball court. The 60 represents the percent of people who are voting against building the basketball court. then you multiply 60 by 2 and you get 120.

The correct hypotheses are:

b. [tex]\(H_0: \mu_1 = \mu_2 = \mu_3\) and \(H_a: \mu_1, \mu_2, \mu_3\) are not all equal.[/tex]

To determine the appropriate hypotheses for testing the relationship between the type of school attended and verbal reasoning scores for Irish students, we first need to understand the nature of the comparison being made.

We have three groups of students: those who attended secondary school, vocational school, and primary school only. We want to investigate if there is a difference in the mean verbal reasoning scores among these groups.

The null hypothesis  [tex](\(H_0\)) states that there is no difference in the mean verbal reasoning scores among the three types of schools, expressed as \( \mu_1 = \mu_2 = \mu_3 \), where \( \mu_1 \), \( \mu_2 \), and \( \mu_3 \)[/tex] are the population means for students attending secondary school, vocational school, and primary school only, respectively.

The alternative hypothesis  [tex](\(H_a\)) suggests that at least one of the population means is different from the others, expressed as \( \mu_1, \mu_2, \mu_3 \)[/tex] are not all equal.

Option b correctly represents these hypotheses:

[tex]\(H_0: \mu_1 = \mu_2 = \mu_3\) \(H_a: \mu_1, \mu_2, \mu_3\) are not all equal.[/tex]

This formulation allows for the testing of differences in mean verbal reasoning scores across the three types of schools. The null hypothesis assumes equality among the means, while the alternative hypothesis considers the possibility of inequality.

It will take 15 weeks for Nancy’s account to have twice as much money as Fred's.

We are looking for the number of weeks it will take for Nancy’s account to have twice as much money as Fred’s account. Both Fred and Nancy start with $15. Each week, Nancy adds $3 to her account and Fred adds $1 to his account.

So we have to solve the equation: 15 + 3x = 2 * (15 + x), where x is the number of weeks. Simplifying the equation gives us x = 15 weeks. Thus, it will take 15 weeks for Nancy’s account to have twice as much money as Fred’s account.

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Answer: 25.90

Step-by-step explanation:

Edge

The total interest charged for the first 6 months is $36.00.

The total interest charged for the first 6 months can be calculated by adding up the interest charged for each month. From the table, we can see that the interest charged for each month is $6.00. Since there are 6 months, we can calculate the total interest charged as follows:

Total Interest Charged = Interest Charged per Month x Number of Months
Total Interest Charged = $6.00 x 6
Total Interest Charged = $36.00

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Answer:

t=4 seconds

Step-by-step explanation:

The equation given to us is

d=30 + vt + 4t²

d=126 feet

v= 8 ft per second

to find t =?

Now putting the values in the above equation gives

126 = 30 + 8t + 4t²

126 - 30 = 8t + 4t²

96 = 8t + 4t²

Dividing the whole equation by 4

[tex]\frac{96}{4}=\frac{8t}{4}+\frac{4t^{2} }{4}[/tex]

it will become

24 = 2t + t²

taking 24 to other sides of equality

0 = 2t + t² -24

t²+2t-24=0

Now we will do mid term breaking of the eqaution

t²+6t-4t-24=0

taking common from the equation

t(t+6)-4(t+6)=0

(t+6)(t-4)=0

so it becomes

t+6 = 0                  or   t-4 =0

t =-6                       or   t = 4 seconds

as time can not be negative

so t=4 seconds

Answer:

The answer is 47 rows.

Step-by-step explanation:

If we have 846 students, and each row can hold 18 people.

We just divide the total students into the number of people sitting by row.

846 ÷ 18 = 47.

Answer:

The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

Explanation:

According to the empirical rule of normal distribution:

1. Approximately 68% of the data falls within 1 standard deviation [tex]\pm 1[/tex] of the mean

2. Approximately 95% of the data falls within 2 standard deviations [tex]\pm 2[/tex] of the mean

3. Approximately 99.7% of the data falls within 3 standard deviations [tex]\pm 3[/tex] of the mean.

Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct

The true statement about a normally distributed dataset is that approximately 68% of the data falls within 1 standard deviation (±1) of the mean, which is known as the 68-95-99.7 rule or the empirical rule.

This question pertains to properties of a normally distributed dataset. In such a distribution, a majority of the data falls within a specific range of the mean (average), defined by the standard deviations. Understanding standard deviations allows us to comprehend how spread out the data is from the average.

In the case of normally distributed data, it is factually correct that approximately 68% of the data falls within 1 standard deviation (±1) of the mean. This is known as the 68-95-99.7 rule or the empirical rule, which states that 68% of data falls within 1 standard deviation, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations of the mean for a normal distribution.

Therefore, the correct statement from the list provided in your question is option (b).

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Answer:

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

Step-by-step explanation:

The volume of a square pyramid is given by the formula

V = 1/3 s^2 h

where s is the side length of the base

The volume of a square prism given by the formula

V =  s^2 h

where s is the side length of the base

So dividing the two, taking the pyramid on top

1/3 s^2 h

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

 s^2 h

If the bases are the same, then the side lengths are the same and we know the heights are the same.  We will cancel them from the top and the bottom.

1/3

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

1

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

Step-by-step explanation:

The volume of a square pyramid is given by the formula

V = 1/3 s^2 h

where s is the side length of the base

The volume of a square prism given by the formula

V =  s^2 h

where s is the side length of the base

So dividing the two, taking the pyramid on top

1/3 s^2 h

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

s^2 h

If the bases are the same, then the side lengths are the same and we know the heights are the same.  We will cancel them from the top and the bottom.

1/3

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

1

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

Answer: the base is: 3 units

The height is: 5 units

The area is: 7.5 units

Step-by-step explanation: I just answered this question ❤️

The base of triangle is, 3 units

The height of triangle is, 5 units

And, The area of triangle is, 7.5 units²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in image.

Now, We get by graph of triangle;

The base of triangle is, 3 units

The height of triangle is, 5 units

We know that;

⇒ Area of triangle = 1/2 × base × height

⇒ Area of triangle = 1/2 × 3 × 5

⇒ Area of triangle = 7.5 units²

Thus, The base of triangle is, 3 units

The height of triangle is, 5 units

And, The area of triangle is, 7.5 units²

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Answer:

[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

Here a= 20, r = -1/2

Here, the absolute value of r is 1/2 which is less than 1. So, the series converges.

The sum of an infinite geometric series is given by

S = [tex]\frac{a}{1-r}[/tex]

Substituting the values in the above equation, we have

[tex]S = \frac{20}{1-(-1/2)} =\frac{20}{3/2} =\frac{40}{3}[/tex]

∴ The sum of the given infinite series is 40/3

Answer:

A. 40/3 hope thats helpful

Answer:

Step-by-step explanation:

100% = $15

20% = 1.2*15 = $18

Quick check

Answer:

Johnny had 5 items and Bobby had 13 items.

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

[tex]\Rightarrow y=3+2x[/tex]  ----------1

Johnny asked for 8 fewer items than bobby. So,

[tex]\Rightarrow y-8=x[/tex]  -----------2

Putting the value of x from equation 2 in equation 1, we get

[tex]\Rightarrow y=3+2(y-8)[/tex]

[tex]\Rightarrow y=3+2y-16[/tex]

[tex]\Rightarrow 2y-y=16-3[/tex]

[tex]\Rightarrow y=13[/tex]

Putting the value of y in equation 2,

[tex]\Rightarrow 13-8=x[/tex]

[tex]\Rightarrow x=5[/tex]

So, Johnny had 5 items and Bobby had 13 items.

Answer:

5575

Step-by-step explanation:

its just subtraction you take the 6000 and subtract 425 and thats how you get whats left they try to trick you using the time im guessing correct me if im wrong

Answer:

Step-by-step explanation:

what is she considering? I would need more information to complete the probolem

Answer:

Nothing...

Step-by-step explanation: Do you have choices, because if you do, please edit your question so I could help you :)

Answer:

1/48

Step-by-step explanation:

To find the probability of 2 independent events, we multiply their probabilities together.

Probability of getting a 2 on the spinner, 1 of 8 spots

1/8  =

Probability of getting a 3 on the die, 1 of 6

1/6 =

Multiply these probabilities together

1/8 * 1/6 = 1/48

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

On a standard cube there are the numbers 1, 2, 3, 4, 5, 6

Only 2 are divisible by 3, that is 3 and 6, hence

P(divisible by 3 ) = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]