In a high school stadium there are 1575 seats. There are two and a half times as many seats in the home section as there are in the visitor section. Which system of equations could be used to determine the number of seats in the home section, h, and the number of seats in the visitor section, v, in the stadium?

Answers

Answer 1

Answer:

h = 1,125

v = 450

Step-by-step explanation:

Total number of seats = 1575

h = number of seats in the home section

v = number of seats in the visitor section

There are two and a half times as many seats in the home section as there are in the visitor section.

h = 2 1/2 * v

h = 2 1/2v

Total = h + v

1575 = 2 1/2v + v

1575 = 3 1/2v

1575 = 7/2v

v = 1575 ÷ 7/2

= 1575 × 2/7

= (1575*2) / 7

= 3150 / 7

= 450

v = 450

h = 2 1/2v

= 5/2*450

= 2250/2

= 1,125

h = 1,125


Related Questions

Look at this set of ordered pairs:
(9,8)
(12, 15)
(5, 7)
(4,9)
Is this relation a function?
yes
no

Answers

Answer:

Yes, the given relation is a function.

Step-by-step explanation:

As given,

(4, 9)

(5, 7)

(9, 8)

(12, 15)

x                          y

4                          9

5                          7

9                          8

12                         15

As each input has different and unique output values.

So, the given relation is a function.

please help me out thank you.​

Answers

Answer:

_____________

Solve for a.

a + (−5) = 12

Answers

Answer:

a = 17

Step-by-step explanation:

a + (-5) = 12

Open the bracket;

a - 5 = 12

Add 5 to both sides

a - 5 + 5 = 12 + 5

Therefore,

a = 17

Answer:

a=17

Step-by-step explanation:

any number plus a negative number is basically subtracting the absolute value of the negative number. so 12 + 5 = 17

please please help me ​

Answers

Answer:

x = 6

Step-by-step explanation:

Segment representing 2x - 1 is the mid segment of the given triangle.

Therefore, by mid segment theorem:

2(2x - 3) = 18

2x - 3 = 18/2

2x - 3 = 9

2x = 9 + 3

2x = 12

x = 12/2

x = 6

Answer:

x = 6

Step-by-step explanation:

D is the mid-point of AB (given)

E is the mid-point of AC (given)

Therefore, by mid-point theorem,

DE = 1/2 BC

=> 2x - 3 = 1/2 × 18

=> 2x - 3 = 9

=> 2x = 12

=> x = 6

Hope it helps :)

Please mark my answer as the brainliest

The sail on a souvenir boat is similar in shape to the sail on a sailboat. The sail on the sailboat is in the shape of a right triangle with a base of 9 feet and height of 24 feet. The height of the souvenir's sail is 3 inches. What is the base of the souvenir's sail

Answers

Answer:

1 1/8 inches.

Step-by-step explanation:

As the sails are similar,  corresponding sides are in the same ratio, so we have the equation

:24/3 = 9/b     where  b = base of the souvenir boat.

Cross multiply:

24b = 9*3

b = 27/24

= 1 1/8 inches.

Based on the shape of the souvenir and dimensions of boat, the base of the souvenir's sail is 1.125 inches

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE need to find the base of the souvenir sail.

Given that sail on the souvenir boat has the same shape as the sail on the sailboat. Which means that; they can be used to find each other's dimensions based on a scale factor.

The height of the sailboat = 24 feet.

The height of the souvenir boat's sail = 3 inches.

The scale is:

= 24 / 3

= 8

Then for every inch on the souvenir boat's sail, the sailboat is 8 feet.

The base of the souvenir boat sail;

= 9 / 8

= 1.125 inches

Hence, Based on the shape of the souvenir and dimensions of boat, the base of the souvenir's sail is 1.125 inches

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

A snow blower requires a fuel mixture ratio of 40:1 (gas to oil). Which expression represents this ratio?

Answers

Answer:

A. 40/1

Step-by-step explanation:

A. 40/1

B. 1 X 40

C. 40 X 1

D. 1/40

Ratio of gas to oil = 40 : 1

40 : 1 = 40/1

40 : 1 can also be written as 40/1 or 40 to 1

Can someone please Classify the angles ? I don’t need a conclusion ....

Answers

Answer:

Right triangle

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle.

please help me on this will give you brainliest!!

Answers

Answer:

9+(c*2)

im pretty sure this is correct, sorry for misreading it at first <3

can someone answer 1 and 2
they both have a part ABC

Answers

Answer:

1.

x=# of purple marbles

y=# of yellow marbles

y=3x

y+x=164

3x+x=164

4x=164

x=41

There are 41 purple marbles and 41*3=123 yellow marbles.

2.

L=large fries

H=hamburger

H=1.15+L

2H+L= 8.60

2.3+2L+L=8.60

2.3+3L=8.60

3L=6.3

L=2.1

A large fries costs $2,1 while a Hamburger costs 1.15+2.1=$3.25.

Find f(x) where
f(x) = 3x+2/x

Answers

Answer:

[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:

inverses of common function

[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex]

[tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

Solve the simulataneous equations. 5x-4y=19 x+2y=8

Answers

Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

HELP MEEEEEEEEEEE plz :D

Answers

A = -75
B = -60
C = -45
D = -15
E = 15
F = 30

help with rounding off!!please

Answers

Answer:

Step-by-step explanation:

A.0.4821 ( 3 d.p)=0.482

B.0.595 (2 d.p)= 0.60

C.0.0346(3 d.p)=0.03

D.2.94999(1 d.p)=2.9

Mark me as a brainliest

0.482
0.60
0.03
2.9
those are the answers

write an equivalent expression for 4(g-6)-7g. Simplify the expression.

Answers

Answer:

-3g-24

Step-by-step explanation:

4(g-6)-7g

= 4g-24-7g

= -3g-24

help, due tonight, asap, will give brainliest

Answers

Answer:

has one solution which is 2

Step-by-step explanation:

Hey everyone! A little help will be needed/appreciated

Answers

Answer:

2 and 1/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)=

Rewrite as

-5.25 + 7.5 =2.25

Answer:

The answer is 2 1/4 because two negatives make a positive

Step-by-step explanation:

-5 1/4-(-7 1/2) or

-5.25+ 7.5=

2.25

rewrite as a fraction= 2 1/4

Hope this helps!

Pleaseeeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

(5x-24)/2 = 3

2.5x - 12 = 3

2.5x = 15

x = 6

Shreks doo doo duhhhhhh

What is the Y intercept of y=3-4x?​

Answers

Answer:

13

Step-by-step explanation:

PLS HELPP I NEED TO TURN IN IN 10 MINUTES

Answers

Answer: side CD = CY

Step-by-step explanation:

They are asking for ASA = Angle, Side, Angle. And they already gave you the two angles so they are asking for the side

The point Q(4, 2) is translated 8 units left and 7 units down. What are the coordinates of
the resulting point,

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Start from the original point and go 8 units to the left and 7 units down and plot the point.

Determine the value of x. Assume the segments that appear tangent
are tangent

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

  (x -2)(x +6) = 9×20

  x² +4x -12 = 180

  x² +4x +4 = 196 . . . . . add 16 (complete the square)

  (x +2)² = 14²

  x +2 = 14 . . . . . . . . . . . positive root is the only one useful

  x = 12

What is the value of the missing angle ?

Answers

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP

Answers

Answer:

x = .23

x = 1.43

Step-by-step explanation:

1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:

[tex]3x^{2} -5x+1=0[/tex]

2. Solve with the quadratic formula and you get:

[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.

 

Answer:

here is my answer

Step-by-step explanation:

Eric spent $21.82, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.

Answers

Answer:

each sock is: 2.43

each jersey is: 6.75

Step-by-step explanation:

Total Sock Amount: 7.29

Total Jersey Amount: 13.50

Total Tax Amount: 1.03

Total Cost: 21.82

which of the following expressions is equal to 5-2m?

A) 7-2(m+1)
B) 7-2(m-2)
C) 7-(2m-5)

Answers

The answer would be A. Make sure you also use BEDMAAS, and take care of the brackets first

The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was the car worth when she bought it?

Answers

Answer

$23,333

Step-by-step explanation:

100% - 10% = 90%

90% = 0.90

21000/.90 = $23,333

Can someone pls answer both answers? Thank you so much :3

Answers

Answer:

1.40

2.51

welp that's all

could you help me with the 2 questions plz

Answers

Answer:

2. 64

3. 2

Step-by-step explanation:

How to find the slope and y intercept from two coordinate pairs

Answers

first use the slope formula to form the slope
m = (y2-y1)/(x2-x1)
and then find the y intercept by (0,b)
then plug m and b into
y=mx+b

Answer:

Slope: y2-y1/x2-x1

Step-by-step explanation:

You find slope from two coordinate pairs by using the slope formula(y2-y1/x2-x1) or rise over run from a graph.

To find y-intercept, x needs to be 0 on a graph.

Hope this helps!

Suppose 24 is 2% .what is 100%

Answers

Answer:  1200, also known as C.

Step-by-step explanation:

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