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?

Answer:

y = x - 7

Step-by-step explanation:

Slope - intercept form: y = mx + b

2x - 2y = 14

    -2y  = -2x + 14

Divide the equation by (-2)

[tex]\frac{-2y}{-2}=\frac{-2x}{-2}+\frac{14}{-2}\\[/tex]

y =  x - 7

Answer:

Step-by-step explanation:

Answer:

To multiply a number by 0.01 move the decimal point 2 places to the left.

Step-by-step explanation:

for example, lets multiply 5 by 0.01

5 x 0.01=0.05

originally, 5 in decimal form is 5.0

when it is multiplied by 0.01, the decimal point moves first from 5.0 to 0.5, then 0.5 to 0.05

To multiply a number by 0.01 move the decimal point 2 places to the left.

A numeral system is a way of writing numbers; it's a way of mathematically notating a set of numbers by using a consistent set of digits or other symbols. In various numeral systems, the same set of symbols may represent various numbers.

For example, let's multiply 5 by 0.01

500 x 0.01 = 5

When the number 500 is multiplied by 0.01, the decimal point moves first from 500 to 5 means two places to the right.

Therefore, multiply a number by 0.01 and move the decimal point 2 places to the left.

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Answer: it would be 4/2

Step-by-step explanation:

Answer:

the slope is 4/2, which can be simplified to 2/1.

Step-by-step explanation:

to find a slope, you have to identify two points that the line goes through. for example, in this problem. the slope travels through (0,0) and (2,4). from (0,0) tp (2,4), the slope travels to the side two points and up four. in the equation y=mx+b, m would be 4/2 or 1/2 since it's the slope. hope this helps a bit!!

Answer:

trice the number"s"

Step-by-step explanation:

is this   wht  u want ? like am i rght? if not pls delete my answer.

Answer:

Thrice a number

Three times the variable "s"

Step-by-step explanation:

Hope it helps!!!

Answer:

2(x-1)

Step-by-step explanation:

1. uncountable noun. You can use stuff to refer to things such as a substance, a collection of things, events, or ideas, or the contents of something in a general way without mentioning the thing itself by name. [informal] I'd like some coffee, and I don't object to the powdered stuff if it's all you've got.

Answer:

The answer is AAS.

Step-by-step explanation:

Since you have 2 angles that are the same and 1 side which are the same or congruent.

A = E

and C=C they are vertical angles so they are the same

And the AB and ED  side are also same.

Answer:

5 5/8 inches

Step-by-step explanation:

Set up and solve an equation of ratios:

 x           1

------- = -------

30 ft      64

Then 64x = 30 ft, and x (the length of the model car) is 30/64 ft, or

x = 0.469 ft, or 5 5/8 inches

The ratio as a fraction will be 4 : 5 or 4/5.

The ratio given is ; 28 days to 5 weeks .

We have to find out this ratio as a fraction in the simplest form ?

What will be the value of ratio ; 2 : 4 will be ?

The value will be 1 : 2.

We have to change given ratio as a fraction in simplest form for ;

28 days to 5 weeks. To convert it in ratio we firstly need to change 5 weeks into days.

∵ No. of days in 1 week = 7 days

⇒ No. of days in 5 weeks = 7 × 5 = 35 days

The ratio as the fraction will be ;

[tex]\frac{28 days}{35 days}[/tex]

taking 7 common from both numerator and denominator.

= [tex]\frac{4}{5}[/tex]

Thus , the ratio as a fraction will be 4 : 5.

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Answer:

x^2= 25

x = 5

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Answer:

FH ≈ 4.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FH}{GH}[/tex] = [tex]\frac{FH}{10}[/tex] ( multiply both sides by 10 )

10 × cos64° = FH , then

FH ≈ 4.4 ( to the nearest tenth )

Answer:

[tex]15w - 4 = 41 \\ 15w = 41 + 4 = 45 \\ w = \frac{45}{15} \\ w = 3[/tex]

Answer:

Step-by-step explanation:

The systems of equation for the scenario given are :

Cost per tacos = 4.50

Cost per burritos = 7.75

Total amount made = $519.25

Let :

Amount of burritos sold = t

Amount of tacos sold = 2t

Total amount made from burritos sale :

(Number of burritos sold × cost per burrito) = (t × 7.75) = 7.75t

Total amount made from tacos sale :

(Number of tacos sold × cost per tacos ) = (2t × 4.50) = 9t

Total amount made :

7.75t + 9t = 519.25

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Answer:

Variant D

Step-by-step explanation:

Answer is x-2 and y+6

The translation using translation notation can be described as (x-2, y+6). The correct option is D.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of a point are given as (x,y).

Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.

Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.

Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,

(x,y) → (x-2, y+6)

Hence, the translation using translation notation can be described as

(x-2,y+6).

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Answer: Manu drives 250 miles in 5 days.

Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.

Answer:

250

Step-by-step explanation:

50= 1 day

?= 5 days

multiply 50 by 5

50 by 5= 250

to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250

Answer:

Jason has 14 points

Step-by-step explanation:

Kevin=10 points/2x thomas points

5x2=10 Correct

Thomas= 5 points

Thomas has 9 less points than Jason \

5+9=14

Jason= 14

Answer:

14√14

decimal: 52.38 (52.38320....)

Answer: It will take approximately 21 years.

Step-by-step explanation:

6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)

Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)

Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)

Answer: 9/20

Step-by-step explanation:

[tex]2 \frac{1}{4}=2.25\\\\1 \frac{4}{5}=1.8\\\\2.25-1.8=0.45=\frac{9}{20}[/tex]

Answer:

6.6 pints of white paint is used to paint the bedroom walls

Step-by-step explanation:

Pints of blue paint used to paint the bedroom walls = 8.8

Ratio of blue paint used = [tex]\frac{1}{4}[/tex]

Therefore,

Ratio of white paint used = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Pints of white paint used to paint the bedroom walls = [tex]\frac{3}{4}(8.8)=3(2.2)=6.6[/tex]

Therefore,

6.6 pints of white paint is used to paint the bedroom walls.

Answer:

[tex]\frac{3b}{a} = 210[/tex]

Step-by-step explanation:

Explanation:-

Given that  a× 70 = b

Dividing 'a' into both sides, we get

           ⇒ [tex]\frac{b}{a} = 70[/tex]

we have to find the value [tex]\frac{3b}{a}[/tex]

       [tex]\frac{3b}{a} = 3 X \frac{b}{a}[/tex]

          = 3× 70

         = 210

Answer:

7.66 km

Step-by-step explanation:

Let distance village is ; north of O = x

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Opposite = x

Hypotenus = 10

θ = 50°

Sin50 = x / 10

0.7660444 = x / 10

x = 0.7660444 * 10

x = 7.6604444

x = 7.66

Answer:

27

Step-by-step explanation:

To find out how many people do something OTHER than running, you have to take the total amount of students participating and subtract the number of runners. 45 - 18 = 27.

Answer:

40%

Step-by-step explanation:

18÷45 = 0.4 × 100 = 40%

Given:

Center of a circle is (3,9).

Solution point is (-2,21).

To find:

The standard form of the circle.

Solution:

Radius is the distance between center (3,9) and the solution point (-2,21).

[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-2-3)^2+(21-9)^2}[/tex]

[tex]r=\sqrt{(-5)^2+(12)^2}[/tex]

[tex]r=\sqrt{25+144}[/tex]

On further simplification, we get

[tex]r=\sqrt{169}[/tex]

[tex]r=13[/tex]

The radius of the circle is 13 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center and r is the radius.

Putting h=3, k=9 and r=13, we get

[tex](x-3)^2+(y-9)^2=(13)^2[/tex]

[tex](x-3)^2+(y-9)^2=169[/tex]

Therefore, the standard form of the circle is [tex](x-3)^2+(y-9)^2=169[/tex].

Answer:

$36 (see below)

Step-by-step explanation:

First, you have to find how much they paid for one ticket.

If they paid $12 for 3, then they paid $4 for 1.

You could've also use a ratio:

$12         $x

-------- =  --------

 3             1

Cross multiply:

$12 (1) = $3x

$12 = $3x

$4 = x

So $4 for 1 ticket.

To find the cost of 9 tickets, just multiply the price by the number of tickets, which is:

$4 (9) = $36

Answer:

X= 62°

Step-by-step explanation:

Remember a straight line is 180°. If we were to try to find x, we would have to subtract 180 by 118. If we do that then we get 62°. And I think there corresponding angles.

BTW, I'M VERY SORRY IF MY ANSWER IS WRONG!! I HAVEN'T DONE THIS IN A YEAR!!! Use this as an example, or sum!!! Good luck.

Answer:

Step-by-step explanation:

For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,

What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!

From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?

Technically yes... But would someone buy 0.5 of a stamp? Not really.

So we can safetly assume that x is the "stamp", and 0.50 is the cost of the stamp.

Hope this helps!