The Liverpool Math Club is taking one bus that carries 20 people, the rest of the people will need to ride small busses that carry 8 people to its regional competition. There are 55 students and two faculty advisors going on the trip. If n represents the number of small busses needed for the ...

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

Explanation:

Draw in the segments AO and OC.

Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.

Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.

Then we can say:

AB+BC = AC .... segment addition postulate

AB+AB = AC .... plug in BC = AB

2*AB = AC

2*AB = 18

AB = 18/2 .... divide both sides by 2

AB = 9

In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.

Answer:

Pretty sure it the 1st one

Answer:   A

Step-by-step explanation:

81 -  1 1/5x [tex]\leq[/tex]  55   The first thing you could do is convert the mixed fraction into an improper fraction.

1 1/5 to an improper fraction is  -6/5  

Now rewrite the inequality as,

81 - 6/5x [tex]\leq[/tex] 55     Subtract 81 from both sides

-81               -81

-6/5x [tex]\leq[/tex] -26     Multiply both sides of the inequality by 5  

-6x [tex]\leq[/tex] -130         Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.

x  ≥  130/6    Convert 130/6 to a mixed fraction  

x ≥ 21  2/3

Answer:

the number is 1

Step-by-step explanation:

4(7n-n)=24

28n-4n=24

24n=24

n=1

Answer:

Xylem moves water and nutrients throughout the plant.

Answer:

B and D

Step-by-step explanation:

most people in the comments said it was right so I tried it and got it right

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

(k +9)(k - 9)

Step-by-step explanation:

a² - b² = (a + b)(a -b)

k² - 81 = k² - 9²

           = (k +9)(k - 9)

Answer:

Her weekly wage is $1150.

Step-by-step explanation:

It is given that,

Grace spent 16% of her weekly wage on a new bookshelf that cost $184.

We need to find her weekly wage.

Let her weekly wage is x.

ATQ,

[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]

So, her weekly wage is $1150.

Answer:

it's a or c

Step-by-step explanation:

Answer:foooo

Step-by-step explanation:

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

Answer:

Step-by-step explanation:

42 strokes = 3/5 of line

Divide both by 3/5

70 - 42 = 28 more strokes to complete the line

Answer:

So?

Step-by-step explanation:

Answer:

1. >

2. <

3. =

4. >

5. >

6. =

7. <

8. <

9. =

10. <

11. >

12. >

13. <

14. =

15. >

16. <

17. >

18. <

19. yes

20. yes

21. yes

22. 2/3, 0.65, 63%

23. 98.5%, 0.98, 7/8

24. 0.2, 1/12, 2%

25. The Pitchers for the visiting team

26. School Bus, Family Vehicle, Bike

Hope this helps :)

Answer:

o p is factorable by 3x - 7, and x + 4

Step-by-step explanation:

Let's factor it:

[tex]p = x(3x + 5) - 28\\p = 3x^2 + 5x - 28\\p = (3x - 7)(x + 4)[/tex]

So p is factorable by 3x - 7 and x + 4

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )

Answer:

mathaway

Step-by-step explanation:

you should use Mathaway it helps with algebra and shows step to step

Answer:

نرظ ثثؤ ٦8٨

Step-by-step explanation:

ظننتت تربية

Answer: How to solve your question

Your question is

4

(

+

5

)

−

4

=

4

4(x+5)-4=4

4(x+5)−4=4

Solve

1

Distribute

4

(

+

5

)

−

4

=

4

{\color{#c92786}{4(x+5)}}-4=4

4(x+5)−4=4

4

+

2

0

−

4

=

4

{\color{#c92786}{4x+20}}-4=4

4x+20−4=4

2

Subtract the numbers

3

Subtract  

1

6

16

16

from both sides of the equation

4. Simplify

5. Divide both sides of the equation by the same term  

6. Simplify

Solution  

=

−

3

Step-by-step explanation: I got this from a website but i hope this helps!!!!

Answer:

The dot is called a decimal. Its what separates the whole number and the fraction of the number.

Step-by-step explanation:

For example, 0.5 is saying half, or 50 out of 100.

Answer:

4

Step-by-step explanation:

..............................

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)

Answer:

We can't see the graph i can help if you insert it

Step-by-step explanation:

Answer:

d. y=5

Step-by-step explanation:

The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.

The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.

Option b gives an equation that isn't for a linear relation entirely.

Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.

I hope this helps!

The number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]P=a\times b[/tex]

Here, (a, b) are the real numbers.

The 4 x 10^3 times a number is equal to the number 16 x 10^3 Let suppose this number is n. Thus,

[tex]4\times10^{3}\times n=16\times10^{3}[/tex]

Divide both side of the equation with 4 x 10^3 as,

[tex]n=\dfrac{16\times10^{3}}{4\times10^{3}}\\n=\dfrac{16}{4}\\n=4[/tex]

Hence, the number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.

Learn more about the product here;

https://brainly.com/question/10005040

2/3 is the answer   becuase 72/6 = 12 12/6 = 2/3

Answer: ( sorry I misread the problem)

I'm not sure what I'm supposed to be multiplying with

but I'll try my best

subtract 2 with 18 and divide 4 with the remaining

18 -2 = 16

then it  is 16/4= 4

Pat has a total of 4pens