find the area of a rectangle that is 30 inches by 2000 inches

Answer:

3.375

Step-by-step explanation:

Answer:

5 ft

Step-by-step explanation:

Total area of turf and flower bed is [tex]1200\ \text{ft}^2[/tex]

Turf dimensions is 20 feet by 30 ft

Area of turf = [tex]20\times 30=600\ \text{ft}^2[/tex]

Area of flower bed = [tex]1200-600=600\ \text{ft}^2[/tex]

Let [tex]x[/tex] be the width of the flower bed so area of flower bed is

[tex]2\times 30x+2(20+2x)x=600\\\Rightarrow 30x+20x+2x^2=300\\\Rightarrow 2x^2+50x-300=0\\\Rightarrow x^2+25x-150=0\\\Rightarrow x=\dfrac{-25\pm \sqrt{25^2-4\times \:1\times \left(-150\right)}}{2\times \:1}\\\Rightarrow x=5,-30[/tex]

So, width of the flower bed is 5 ft.

Answer:

The equation of the line is [tex]y = -\frac{x}{4} - 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

[tex]4m = -1[/tex]

[tex]m = -\frac{1}{4}[/tex]

So

[tex]y = -\frac{x}{4} + b[/tex]

Through (0, -3)

This means that [tex]b = -3[/tex]

So

[tex]y = -\frac{x}{4} - 3[/tex]

Answer:

increase by 25 percent

Step-by-step explanation:

(50-40)/40 × 100%=25%

Answer:

increase by 25%

Step-by-step explanation:

10/40 × 100 = 25

Answer:is the secend one

Step-by-step explanation:this is easy you just have to find the points

Answer:

(2,5) (6,9) (7,2)

Step-by-step explanation:

the first number is the x and the second number is the y

Answer:

12  home work

Step-by-step explanation:

Step one:

given data

A student has 30 homework questions to complete

the student completes 2/5 of the homework questions.

Required

The number of completed homework

Step two:

The number of completed homework= 30*2/5

The number of completed homework= 60/5

The number of completed homework= 12

Answer:

Histogram thats on the right

Step-by-step explanation:

process of elimination and more specific=qualifying data

Answer:

he line will intersect the y-axis where x = 0. So we get 7y= 14, or y=2. Hence the line will intersect the x-axis at (0,2).

Step-by-step explanation:

∅·∅

Answer:

-priming is not used..... is answer

Step-by-step explanation:

I hope it's helpful!

Answer:

55

_________

I just did this lol, Be safe <3

it is 55 the first guy or girl is right i tried it

55

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

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

[tex] AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)} [/tex]

[tex] AB = \sqrt{4 + 4} [/tex]

[tex] AB = \sqrt{16} [/tex]

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

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

[tex] BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)} [/tex]

[tex] BC = \sqrt{25 + 49} [/tex]

[tex] BC = \sqrt{74} [/tex]

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

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

[tex] AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)} [/tex]

[tex] AC = \sqrt{47 + 25} [/tex]

[tex] AC = \sqrt{74} [/tex]

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

Answer:

A, 20.0

Step-by-step explanation:

Answer:

Algebra Examples Rewrite log4(x+20)=3 log 4 ( x + 20 ) = 3 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b ≠ 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3x-6+4x+7-2x

3x+4x-2x+7-6

7x-2x+1=5x+1

3x-6+4x+7-2x=5x+1 substitute all X's for two and get 3(2)-6+4(2)+7-2(2)=5(2)+1

6-6+8+7-4=10+1

11=11

Answer:

5y+4z

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

A. 15

Step-by-step explanation:

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

Using the segment addition postulate, The value of x is 15.

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

WE have been given the following parameters;

HI = 6x + 8

DJ = 2x - 4

HJ = 124

Then by using  the segment addition postulate,

HI + DJ + HJ

(6x + 8) +(2x - 4) = 124

8x + 4 = 124

8x = 120

x = 15

(6x + 8)  = 6(15) + 8 = 78

(2x - 4)  = 2(15) -4 = 20

Therefore, the value of x is 15.

Learn more about  the segment addition postulate,

https://brainly.com/question/17259950

#SPJ2

Answer:

h ≅ 16.29 cm

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

[tex]tan \theta= \dfrac{r}{h}[/tex]

[tex]tan \theta= \dfrac{8}{16}[/tex]

[tex]tan \theta= \dfrac{1}{2}[/tex]

∴

[tex]\dfrac{r}{h} = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{h}{2}[/tex]

The volume (V) of the cone is expressed as:

[tex]V = \dfrac{1}{3}\pi r ^2 h[/tex]

[tex]V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h[/tex]

[tex]V = \dfrac{\pi h^3}{3\times 4}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

Given that:

[tex]\dfrac{dv}{dt} = 12 \pi[/tex]

Then:

[tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]- \int 48 \ dt = \int h^2 \ dh[/tex]

[tex]\dfrac{h^3}{3}= -48 t + c[/tex]

[tex]At \ t = 0 \ ; h = 0[/tex]

∴

[tex]\dfrac{0^3}{3} = -48(0) + c[/tex]

c = 0

So;

[tex]\dfrac{h^3}{3}= -48 t + 0[/tex]

[tex]\dfrac{h^3}{3}= -48 t[/tex]

t = 30

[tex]\implies h = (-48(30))^{1/3}[/tex]

h = 16.2865

h ≅ 16.29 cm

Thus;

from [tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }[/tex]

[tex]\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Answer:

71.25

Step-by-step explanation:

Answer=

Jovan is 15 years old. His sister is 6 years older than 13 his age.

How old is Jovan’s sister?

Step-by-step explanation:

15-6/ 1/3=13 years old

Answer:

It's simple

Step-by-step explanation:

See what I did there? Simple?

Answer:

$2448 in a year

Step-by-step explanation:

$63,648 ÷ 52 = $1224 a week (this would be how much he earns per week)

Since he is not getting paid for two week we do 52 - 2 = 50 week of work.

Since per week salary is $1224 we multiply by 2 for two weeks = $2448

Before $63,648 - $2448 = $61200 per year (Now he's making $61200/year)

Hope this helps,

if so please mark Brainlist,

Thanks!

Answer:

All you have to do is write how you feel about this it's simple :|

Step-by-step explanation:

Answer:

4 hours and 20 minutes

Step-by-step explanation:

I'll add the steps if you want me to.

Answer:

8

Step-by-step explanation:

Answer:

The student will be able to fill  5 1/2 cups of lemonade.

Step-by-step explanation:

can i get brainliest plz

Answer:

you could fill 5 1/2 cups.

Step-by-step explanation:

19 1/4 divided by 3 1/2 is 5 1/2

Answer:

70 km/h

Step-by-step explanation:

A car is travel 210 km in 3 hours.

Distance, d = 210 km

Time, t = 3 hours

We can find the speed of the car. The speed of an object is equal to the total distance divided by time taken.

v = d/t

Substitute the values,

[tex]v=\dfrac{210\ km}{3\ h}\\\\v=70\ km/h[/tex]

So, the required speed of the car is 70 km/h.

Answer:

4/6

Step-by-step explanation:

x2

hope it helps

Answer:+21

Step-by-step explanation:

21 + 0

Answer:

[tex] - 9 \times - 10 = 90[/tex]

Step-by-step explanation:

the answer is -9

hello, it's easy❤

answer is -9