Riley collects rainwater in a large barrel that weighs 15 pounds. When there are 8 gallons of water in the barrel, the total weight is 73.8 pounds. When there is 20 gallons of water in the barrel, the total weight is 162 pounds. Write the equation that models this situation in slope intercept form.

Answer:

The answer is D. 259

Step-by-step explanation:

Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]

Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]

Step 3:

[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]

[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]

Step 4: [tex]295-36=259[/tex]

Answer:

-9m-27n=

-9(m +3n)

[tex]{ \huge{ \green{ \underline{ \bf{Given}} \colon}}}[/tex]

[tex]{ \large{ \red{✮ \: \: \underline{ \underline{ \tt{ - 9m - 27n \: \: as \: \: a \: \: product}}} \colon}}}[/tex]

[tex]{ \huge{ \pink{ \underline{ \bf{Now}} \colon}}}[/tex]

[tex]{ \large{ \blue{ \therefore{ \boxed{ \boxed{ \sf{ - 9(m + 3n)}}}}}}}{ \large{ \orange{ \tt{Ans.}}}}[/tex]

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

Answer:

1 and 1/8

Step-by-step explanation:

Answer:

The angle of a straight line is 180 degrees.

180 degrees-71 degrees=109 degrees

Step-by-step explanation:

===========================================

Explanation:

Let's apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-7-(-3))/(-3-(-3))

m = (-7+3)/(-3+3)

m = -4/0

We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.

The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.

Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.

Answer:

C

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]

Answer: Option 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because it is

Answer:

3 feet

Step-by-step explanation:

Area of bedroom = 54 square feet.

Area of closet = Area of bedroom / 6= 54/6= 9 square feet.

Area = length * breadth

9 =  length *3

length = Area/ width

length = 9/3= 3 feet.

As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.

Answer:

Yes.

Step-by-step explanation:

Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.

Answer:

? = 13.5

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

6/4 = 1.5

9*1.5 = 13.5

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

--------------

-3x+2y=-12

3x+5y=33

-------------------

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Answer:    The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

Hi!

I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°

Answer:

the initial value -- f(0) -- results in a value of 1.5

Step-by-step explanation:

f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex]     (any value raised to the power of zero equals one)

f(0) = [tex]\frac{3}{2}[/tex] · 1

f(0) = 3/2 or 1.5

Answer:

$2205

Step-by-step explanation:

The formula is (2000*1.05^2) which is 2205

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

4 x c = 2,528

c = 632

Step-by-step explanation:

Answer:

The bottom one

Step-by-step explanation:

The question is saying they spent $2528 on 4 laptop computers that each cost the same amount so the equation is 4c=2528 .Divide 2528 by 4 to get 632.

P.S. can I get brainlist please?

Answer:

Midpoint is (x2+x1) /2 , y2+y1 /2)

(7-1 /2, 3+2 /2)

=(3,5/2)

Answer:

See explanations below

Step-by-step explanation:

The given sequence 7,21,63... is geomertic in nature

The nth term is expressed as;

Tn = ar^n-1

a is the first term = 7

r is the common ratio = 21/7 = 63/21  = 3

n is the number of terms

Substitute

Tn = 7(3)^n-1

For the 12th term, when n = 12

T12 = 7(3)^12-1

T12 = 7(3)^11

T12 = 7(177,147)

T12 = 1,240,029

Hence the 12th terms is 1,240,029

For the recursive function

First term = 7(1)

2nd term T2 = 21 = 7(3)

3rd term T3 = 63 = 7(9) = 7(3^2)

Tn = 7(3^n)

Hence the recursive function is 7(3^n)

Answer:

£72

Step-by-step explanation:

let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x

Then

x + 3x + 6x = 10x = £240 ( divide both sides by 10 )

x = £24

Gordon gets 3x = 3 × £24 = £72

Answer:

$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57

Answer: (-2, -1) and (3, 14).

Step-by-step explanation:

[tex]\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.[/tex]

x² + 2x - 1 = 5 + 3x

x² + 2x - 1 - 5 - 3x = 0

x² - x - 6 = 0

[tex]General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3[/tex]

y = 5 + 3x

y₁ = 5 + 3 * (-2) = -1

y₂ = 5 + 3 * 3 = 14

The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).

Answer:

180-96 will be the value for c

now do the calculation urself