The length of a rectangular sandbox is
6
feet less than
3
times the width. The perimeter of the sandbox is
36
feet.

Which statement is true?

The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.

The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 6 feet.

The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.

The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 12 feet.

The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.

The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet.

The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.

Answer:

y = -x + 9

Step-by-step explanation:

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

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

[tex]m=\frac{0-9}{9-0}[/tex]

[tex]m=\frac{-9}{9}[/tex]

[tex]m=-1[/tex]

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

D. 2

Step-by-step explanation:

The rise is +2. The run is +1. Slope = (rise/run) = (+2/+1) = 2

Answer:

A Clydesdale drinks 840 gallons of water in 28 days.

Step-by-step explanation:

120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.

Answer:

1) All possible number tickets for group that spends $57: A, B, C, D

2) All possible number tickets for group that spends $95: B, C, E, F

3) Each ticket will cost at most $19

Step-by-step explanation:

We are told that one group spends $57 dollars while the other group spends $95.

Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket​ costs.

To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.

57: 1, 3, 19, 57

95: 1, 5, 19, 95

Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.

Thus,each ticket will cost at most $19

Answer:

[tex] {x}^{2} = \: 20 \\ \sqrt{x \: {}^{2} } = \sqrt{20} \\ x = 4.472135955[/tex]

Answer:

x = 2√5

Step-by-step explanation:

Hi there !

x² = 20

x²  = 4×5

x² = 2²×5

x = √2²×5

x = 2√5

Good luck !

Answer: 9/4 divided by 3/4

Step-by-step explanation: i took the test

Answer:

D

Step-by-step explanation:

2021 moment

Answer:

2 : 3

Step-by-step explanation:

We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:

4 / 6  ⇒  the ratio here would be 4 : 6

We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:

4/2 : 6/2  ⇒  2 : 3

2 and 3 don't share any factors other than 1, so we leave the ratio like this.

The answer is thus 2 : 3.

~ an aesthetics lover

Answer:

100°

Step-by-step explanation:

180 - 80 = 100

The line is 180 so you take away what you already know (80) and then you have 100.

Answer:

180 degree (exterior angle ) please follow and like me

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x

Answer:

0.09, 19.4, 0.49, 0.049, 0.491

Step-by-step explanation:

Answer:

rationale

Step-by-step explanation:

step by step instructions

Answer:

Irrational

Step-by-step explanation:

The decimal doesn't terminate.

Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( isolate b by subtracting mx from both sides )

y - mx = b

Answer:

b=y-mx

Step-by-step explanation:

You need to get b by itself, so you subtract mx.

Answer:

if the lines have arrows at the end then the domain is infinite.

Step-by-step explanation:

Lines are infinite

Answer:

Domain: x ∈ all real numbers

Step-by-step explanation:

It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.

Answer:

The slope should be -5/8

Step-by-step explanation:

The equation used to find the slope using a table is:

[tex]\frac{y2-y1}{x2-x1}[/tex]

To get the values, take two points from the table. For example:

(8, -5) and (16, -10)

Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

3 * 3 * 3 = 27

Hope this helps and pls do mark me brainliest if you can:)

Answer:

graph it and all of the #s will be negitive

Step-by-step explanation:

Answer:

W: (1, 4)

X: (4, 4)

Y: (6, 2)

Z: (5, 1)

Step-by-step explanation:

Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)

J: (-4, 1) ⇒ W: (1, 4)

K: (-4, 4) ⇒X: (4, 4)

L: (-2, 6) ⇒ Y: (6, 2)

M: (-1, 5) ⇒ Z: (5, 1)

Answer:

x<0.5

Step-by-step explanation:

this is just like simplifiying equations if you've done that before

first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)

so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.

Then you subtract 3 from both sides to get 8x<4

after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5

just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number

Answer:

0

Step-by-step explanation:

Answer:

 Slope = 3

 x-intercept = 5/3 = 1.66667

 y-intercept = 5/-1 = -5.00000

Step-by-step explanation: Notice that when x = 0 the value of y is 5/-1 so this line "cuts" the y axis at y=-5.00000

 y-intercept = 5/-1  = -5.00000

When y = 0 the value of x is 5/3 Our line therefore "cuts" the x axis at x= 1.66667

 x-intercept = 5/3  =  1.66667

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -y+3x-5  = 0 and calculate its properties

Answer:

90 yards of string

Step-by-step explanation:

You multiply the 45 Balloons and 6 feet of string. Then u divide it by 3 bc there are 3 yards is a feet.

Answer:

Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.

Step-by-step explanation:

2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).

$2.75 (1.6) = $4.40

$4.50 + $4.40  = $8.90

Answer:

Step-by-step explanation:

quadrant 4 (x is positive and y is negative)

Answer:

295

Step-by-step explanation:

After 9 years, Alexander will have $295 in his bank account.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.

For Alexander, S = sum of money after the total period of investment.

P = Principle = $240, r = rate of interest = 2.3% compounded annually, n = time period = 9 years.

Now, S = $240(1 + 2.3/100)⁹= $240(1 + 0.023)⁹ = $240(1.023)⁹ = $294.5

≈ $295

Hence, after 9 years, Alexander will have $295 in his bank account.

Learn more about compound interest here: brainly.com/question/25857212

#Tag #SPJ2

combine all like terms!

that would be 3n-n and 7-3, which would leave you with 2n and 4

simplified, it would be 2n+4 :)

Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

In order to calculate the length of the walkway, we need to calculate the value of b first. Therefore,  the value of b using the Pythagoras theorem can be written as,

[tex]D^2=12^2+b^2\\15^2=12^2+b^2\\225=144+b^2\\b^2= 81\\b=9[/tex]

As we  got the value of b, now the value of each of the four hypotenuses can be written as,

[tex]A = \sqrt{12^2+8^2} = \sqrt{208}=14.422\\\\B=\sqrt{6^2+8^2}=\sqrt{100} = 10\\\\C =\sqrt{6^2+9^2}=\sqrt{117} = 10.82\\\\D = 15[/tex]

Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,

[tex]Sum = A+B+C+D = 14.422+10+10.82+15 = 50.24[/tex]

Hence, the length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.

Learn more about Pythagoras Theorem:

https://brainly.com/question/14461977

Answer:

25.28

Step-by-step explanation:

Answer:

25.28

Step-by-step explanation: