At a baseball game, 89% of people attending were supporting the home team, while 11% were supporting the visiting team. If 2314 people attending the game supported the home team, what was the total number of people attending the game?

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )

Step-by-step explanation:

Given

x = 3g + 2

Making g as a subject then

3g = x - 2

g = ( x - 2 ) / 3

Hope it will help :)❤

Answer:

g=(x-2)/3

Step-by-step explanation:

Answer:

A translation of 5 units up

and

A translation of 2 units to the right

Step-by-step explanation:

Answer:

A. Banana to grape this should be right

Answer:

Weight of the flour = 5/4 pounds

Number of cups added = 4 cups

Step-by-step explanation:

Weight of the bowl = 1½ pounds

Total weight of the bowl and the flour = 2¾ pounds

Weight of the flour = Total weight of the bowl and the flour - Weight of the bowl

= 2¾ pounds - 1½ pounds

= 11/4 - 3/2

= 11-6/4

= 5/4 pounds

Weight of the flour = 5/4 pounds

If each cup of flour weighs 5/16 pound, how many cups of flour does he add

Number of cups added = 5/4 ÷ 5/16

= 5/4 × 16/5

= (5*16)/(4*5)

= 80/20

= 4

Number of cups added = 4 cups

Answer:

Question 1

Option 2 is the correct answer

y = x - 55/ x=255

Question 2:

Last option is the correct answer

n = b + 2/ b= 5

Step-by-step explanation:

Question 1

The given information can be framed into the Mathematical form as given below:

No of cards = x

Cards given to brother = 55

Remaining cards = x - 55

Total number of cards = y

y = x - 55

Plug y = 200

200 = x - 55

20. + 55 = x

x = 255

y = x - 55/ x = 255

Question 2:

Total number of shirts bought

n = b + 2

Plug n = 7

7 = b + 2

7 - 2 = b

b = 5

n = b + 2/ b = 5

Answer:

ok sure

Step-by-step explanation:

Answer:

ok so im so confused but like you know i tried and i got this:

X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.

(32 - x)(7 - x) = 116

(x - 32)(x - 7) = 116

x^2 - 39x + 224 = 116

x^2 - 39x + 108 = 0

(x - 3)(x - 36) = 0

x = 3, 36

But (32 - x) > 0, so x does not equal to 36.

x = 3

3 years ago, the father would be 29 years old, and the son 4 years old.

i know it sounds crazy but i think its wrong lol

Answer:

The answer is c, 28 ft! brainliest pls lol

Answer:

20ft

Step-by-step explanation:

I did the quiz and got it right :> (K12)

Answer:

6x-7

Step-by-step explanation:

Answer:

[tex]6x - 7[/tex]

Step-by-step explanation:

1) Simplify 2-1 to 1.

[tex]5 \times 1 + 2(3x - 6)[/tex]

2) Simplify 5 × 1 to 5.

[tex]5 + 2(3x - 6)[/tex]

3) Expand by distributing terms

[tex]5 + 6x - 12[/tex]

4) Collect like terms.

[tex]6x + (5 - 12)[/tex]

5) Simplify.

[tex]6x - 7[/tex]

So, therefor, the answer is 6x - 7.

Answer:

(=3+2) .

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) .

Answer:

Step 4

Step-by-step explanation:

In step 4, instead of adding 22 to both sides of the equation to combine like terms, Kam got rid of it completely. Starting from step 3, here is the correct way of solving it:

[tex]7x-22=18[/tex]

Add 22 to both sides

[tex]7x-22+22=18+22\\7x=40[/tex]

Divide both sides by 7 to isolate x

[tex]\frac{7x}{7}=\frac{40}{7} \\x=\frac{40}{7}[/tex]

I hope this helps!

Answer:

In step 4, she forgot to add 22 to 18

Step-by-step explanation:

In step 4, she forgot to add 22 to 18

It should've been:

7x = 40

x = 40/7

3 (40/7) + 2y = 18

120/7 + 2y = 18

2y = 18 - 120/7

2y = 6/7

y = 3/7

Answer:

(9 + t)/12=-3

(9-45)/12

-36/12

= -3

answer = -45

Answer:

(20,280) and (10,300)

Step-by-step explanation:

It was the correct answer on the practice question

Answer:

Edmentum/Plato

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

let the three no. be x, x+2, x+4

so, x+x+2+x+4= 51

3x+6= 51

3x=45

x=15

hence the required numbers are

x=15

x+2= 17

x+4=19

Answer:

0.42

Explanation:

21/50= 0.42

22/33=0.667766,7

Therefore, 0.42 is the less equaled answer

Please give A 5.0 score and braniest!

Hopefully this helps!❤

Answer:

Larger number: 23

Smaller number. 15

Step-by-step explanation:

y = x - 8

x + y = 38

substitute for y:

x + x - 8 = 38

2x = 46

x = 23

y = 15

Answer:   Larger number:  23

Smaller number:  15

Step-by-step explanation:

let x be the smaller number, then the larger number would be x+8

x + (x + 8) = 38

2x + 8 = 38

2x  = 30

x = 15

larger number = x + 8 = 15 + 8 = 23

Answer:

f(x)=ax^3+bx^2+cx+d

it is a cubic function

Step-by-step explanation:

Answer:

to solve use the distributive property and multiply

Step-by-step explanation:

I'm sorry I do not have the product

Answer:

Step-by-step explanation:

Given:

Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

To find:

The length of ad.

Solution:

If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

We know that,

[tex]ab=ad+db[/tex]

Length of the segment ab is 10 cm.

[tex]10=2x+3x[/tex]

[tex]10=5x[/tex]

Divide both sides by 5.

[tex]2=x[/tex]

Now,

[tex]ad=2x[/tex]

[tex]ad=2(2)[/tex]

[tex]ad=4[/tex]

Therefore, the length of segment ad is 4 centimetres.

Answer: The answer is 20x + 35

Step-by-step explanation: 5(4x+7) You multiply 5 in both numbers and you get 20x+35

Answer: 20x+35

Step-by-step explanation:

Multiply both terms in the parenthesis by 5. 4x times 5 is equal to 20x, and 7 times 5 is equal to 35.

Answer:

They will need 7 vans.

Answer:

The answer is 7 vans

Step-by-step explanation:

Divide 40/6

you get 6.6 so you just round up to 7.

The 7th bus will have less passengers but that is how many you will need for everyone to fit

Hope that helps

Answer:

2 1/12

Hope that helps!

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation: