Find the slope of the line that passes through the points (-10, 2) and (5, 3).

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = [tex]\dfrac{1}{3}x+60[/tex]

We know that,

[tex]Perimeter = 2( length + width)[/tex]

[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]

[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]

[tex]920 =\dfrac{8}{3}x+120[/tex]

Subtract both sides by 120.

[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]

[tex]800 =\dfrac{8}{3}x[/tex]

Multiply both sides by 3.

[tex]2400 =8x[/tex]

Divide both sides by 8.

[tex]300 =x[/tex]

Now,

[tex]Length = 300\text{ feet}[/tex]

[tex]Width=\dfrac{1}{3}(300)+60[/tex]

[tex]Width=100+60[/tex]

[tex]Width=160\text{ feet}[/tex]

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.

Answer:

y=2x-1

Step-by-step explanation:

y-9=2x-10

y=2x -10+9

y=2x-1

x= -8

Step-by-step explanation:

3x + 6 = 2(x-1)

3x + 6 = 2x - 2

3x - 2x = -2 -6

x = -8

Answer: 2

Step-by-step explanation:

3.3 x 2 = 6.6

6.6 + 4 = 10.6

1.3 x 2 = 2.6

2.6 + 8 = 10.6

i think true because 0,4 on there is correct and so is 2,0

Answer:

Zero

Step-by-step explanation:

it is to correct answer because I did this before and one of my classes also subscribe to my channel bye

Answer:

[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]

Step-by-step explanation:

[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]

Substraction

[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]

Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

Answer:

4 days

Step-by-step explanation:

because Mariana drank 2 pints a day 8 pints are in a gallon so 8 ÷ 2 = 4

thank you.............................

Answer:

W=5 w=8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Answer:

99<x<315

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

edg. 2021

Area of a circle is pi x r^2

R is the radius which is have the diameter: r = 10/2 = 5

Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.

A semi circle is half a full circle

Area of the semi circle = 78.5/2 = 39.25 square units.

Answer:

Step-by-step explanation:

True!!

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

Answer:

k

Step-by-step explanation:

Answer:

x = > 2

Step-by-step explanation:

This is the answer because:

1) >2 means x is any number greater than 2

2) For example, 2 x 3 = 6 +  7 = 13

3) 13 is greater than 11

Hope this helps!

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

Answer:

[tex]x = \frac{18}{7} [/tex]

Answer:

1/3 or 0.3

Step-by-step explanation:

5/8 x 4/5 x 2/3 =

1/3 or 0.3

Answer:

1/3 in^3

Step-by-step explanation:

In order to find the volume, you must multiply the length, by the width, by the height. This would mean you need to do 2/3x5/8x4/5=40/120

40/120 simplified will give you 1/3

Answer:

Even

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

Answer:

1/5

Step-by-step explanation:

A metre is 100cm, thus

20cm/100cm= 1/5

Answer:

51t^3

Step-by-step explanation:

64+3=67

67 +(-16)=51

t^2 +t= t^3

now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3

Answer:

A.) -5

Step-by-step explanation:

Slope Formula --->     [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       m = slope

[tex]m = \frac{2 - (-3)}{-2 - (-1)}[/tex]

Eliminate negatives:

[tex]m = \frac{2 + 3}{ -2 + 1}[/tex]

Solve:

[tex]m = \frac{5}{-1}[/tex]

Simplify:

[tex]m = -5[/tex]

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.