On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)

Answer:

Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

Step-by-step explanation:

Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:

[tex] t = 60.48 s [/tex]

By dividing the above equation into 8:

[tex] t = \frac{60.48 s}{8} = 7.56 s [/tex]

Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

I hope it helps you!

Answer:

y=2x-7

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

cuz

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!

Answer:

it cost $9.2972048

Step-by-step explanation:

Answer:

Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.

Answer:Well the first one is 60

Step-by-step explanation:6!/3!2!=60 thats all i got

Answer:

60 for the first one

Step-by-step explanation:

x = 5/4   or   x = 15/4

Step-by-step explanation:

Answer:

x = 29 ,  b = -3

Step-by-step explanation:

5 = b + 8

5 - 8 = b

-3 = b

b = -3

2x + 3b = 156

156 / 3 = 52

52 / 2 = 26

x + b = 26

26 + 3 = 29

x = 29

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

[tex]b^{2}-4ac[/tex]

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

Answer:

Step-by-step explanation:

Equilateral Triangle:

Side of triangle = breadth of rectangle

                         = 28 cm

height = 24 cm

Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]

                          = [tex]\frac{1}{2}*28*24[/tex]

                          = 28* 12

                         =  336 square cm

Rectangle:

length = 50 m

breadth = 28 m

Area of rectangle = length * breadth

                              = 28 * 50

                              = 1400 square cm

Diameter of circle = breadth of rectangle

                        d  = 28 cm

                         r = 28/2 = 14 cm

Area of circle = πr²

                      [tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]

                     = 616 square cm

Area of the remaining portion =  Area of rectangle - area of circle + area of triangle

                                                    = 1400 - 616 + 336

                                                   = 1120 square cm

Perimeter of the figure = 28 + 50 + 28 + 28 + 50

                                       = 184 cm

Hint: Perimeter of the figure. three side of rectangle + two sides of triangle

2 - 300 calories

3 - 1260 calories

6 - 20g

7 - 70mg

Answer: am not 100% sure but shouldn't it be all if them?

Step-by-step explanation:

Answer:

Everything except 2

Step-by-step explanation:

Terms are separated by signs. 2 is the coefficient (number in front of a variable)

Answer:

3 2/4

Step-by-step explanation:

3.5 or just 3 if you round

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. since the m on the bottom is negative you are taking it away. You basically just combine your variables to make the equation.

Step-by-step explanation:

Answer

:Identity Property of Addition

Step-by-step explanation:

The inequality is true.

Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.

Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

Learn more about the inequality is true.

brainly.com/question/19366916.

Answer:

i have a feeling it is b

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.

Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.

Given that;

(x2-x1) =a

(y2-y1)=b

distance =c

Recall that Pythagoras's theorem states that;

[tex]c= \sqrt{a^{2} + b^{2} }[/tex]

Then, according to Pythagoras's theorem;

c =√(x2-x1)2 + (y2-y1)2)

Simply put;

c=√(difference between abscissae)2 - (difference between ordinates)2

You can now substitute values and obtain a numerical result.

Answer:

1. true

2. false

3. true

4. true

Answer:

7/16

Step-by-step explanation:

Just took the test! :)

Answer:lol i agree

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906

the average is (4567+5430+3998+5220+4906)/5

=24121/5

=4824.2

in the month of august let the sales be x

average= (4567+5430+3998+5220+4906+x)/6

the average for march to july is 4824.2

4824.2= (4567+5430+3998+5220+4906+x)/6

24121+x=4824.2*6

24121+x=28945.2

x=28945.2-24121

x=4824.2

approximately 4824 games

Answer:

The better deal is  8 bagels for $4.15

Step-by-step explanation:

6 bagels for $3.29

3.29/ 6 = $.54833333 per bagel

8 bagels for $4.15

4.15/ 8 =$.51875 per bagel

The better deal is  8 bagels for $4.15

Answer:

buy 8 bagles

Step-by-step explanation:

because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose

Answer: Choice D

f(n) = 4*(3)^(n-1)

f(5) = 324

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

Explanation:

Look at the y coordinates: {4, 12, 36, 108}

This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term

4*3 = 12

12*3 = 36

36*3 = 108

The nth term of the geometric sequence is

f(n) = a*(r)^(n-1)

f(n) = 4*(3)^(n-1)

Now plug in n = 5

f(n) = 4*(3)^(n-1)

f(5) = 4*(3)^(5-1)

f(5) = 4*(3)^(4)

f(5) = 4*81

f(5) = 324

Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.

Answer:

x = 18.75

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x-10 = 65-x

Add x to each side

3x-10+x = 65-x+x

4x-10 = 65

Add 10 to each side

4x-10+10 = 65+10

4x = 75

Divide each side by 4

4x/4 = 75/4

x = 18.75

Answer:

[tex]\longrightarrow 5n+1\longleftarrow[/tex]

Step-by-step explanation:

[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]

Answer:

[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]

Step-by-step explanation:

We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).

[tex]f(n)+g(n)[/tex]

We know that:

[tex]f(n)=2n+1\\g(n)=3n[/tex]

Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)

[tex](2n+1)+(3n)[/tex]

Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.

[tex](2n+3n)+(1)[/tex]

[tex](5n)+1[/tex]

[tex]5n+1[/tex]

f(n)+g(n) is equal to 5n+1

Answer:

C.

Step-by-step explanation:

Answer:

Yes it is rational.

Step-by-step explanation:

Answer:

Rational I think

Step-by-step explanation:

Rational means it can be expressed as a fraction