select the three expressions that are equivalent to 3/5a + 10
A. 1/5a + 10 + 2/5a
B. a(3/5 + 10)
C. 14 + 3/5a - 4
D. 1/5 (3a + 50)
E. 10 + 2/5a - a + 1/5a

Answer:

[tex]a_n=-10n+150[/tex]

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: [tex]a_n=-10n+150[/tex] instead.

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.

Answer:

10

Step-by-step explanation:

8 + 6 - (8 ÷ 4) × 2

8 + 6 - 2 × 2

8 + 6 - 4

14 - 4

10

9514 1404 393

Answer:

Step-by-step explanation:

Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:

top and bottom

  8x +7 = 9x -4

  11 = x . . . . . . . . . . add 4-8x to both sides

left and right

  7y -34 = 5y

  2y = 34 . . . . . . . . add 34-5y to both sides

  y = 17 . . . . . . . divide by 2

_____

Additional comment

As a check on the integrity of the problem, we can see if these angles form linear pairs.

  8x+7 = 8·11+7 = 95

  5y = 5·17 = 85

  95 +85 = 180 . . . . . . angle values have the expected relationship

Answer:

Step-by-step explanation:

Do tell, if that's what you mean. If you're asking me, I'm not sure I know!

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

Answer:

Step-by-step explanation:

Answer:

5 /11 is the Mixed Number.

Have a good day! :D

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

Answer:

A = 78.5

Step-by-step explanation:

to find the area of a quarter of a circle, find the area of the whole circle and divide it by 4:

A = (π[tex]r^{2}[/tex]) ÷ 4

A = (3.14 x [tex]10^{2}[/tex])  ÷ 4

A = (3.14 x 100)  ÷ 4

A = 314  ÷ 4

A = 78.5

Step-by-step explanation:

6(3+4) - 5(1+2)

= 6 x 7 - 5 x 3

= 42 - 15

= 27

Step-by-step explanation:

6(3+4) - 5(1+2)

6×7 - 5×3

42 - 15 = 27

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

Answer:

sorry 2458946547165874%

Step-by-step explanation:

Answer:

Hi Marie, use the reminder

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Tan(x) = Opp / Adj

Tan(x) =32 / 24

X = arcTan(32/24)

X = 53.13°

answer::::::::::::::::::::

Basically

Answer:

[tex]AB = 3.6[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

[tex]A = (-2,1)[/tex]

[tex]B = (1,-1)[/tex]

The distance is:

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

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

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

[tex]AB = \sqrt{13}[/tex]

[tex]AB = 3.6[/tex]

Answer:

d

Step-by-step explanation:

Answer:

For The Number 6 Its A

For The Number 7 The Volume is 400

Answer:

x=0, y=3/2. (0, 3/2).

Step-by-step explanation:

7x-8y=-12

-4x+2y=3

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

7x-8y=-12

4(-4x+2y)=4(3)

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

7x-8y=-12

-16x+8y=12

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

-9x=0

x=0/-9

x=0

7(0)-8y=-12

0-8y=-12

8y=0-(-12)

8y=0+12

8y=12

y=12/8

simplify

y=3/2

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Answer:  -30/13

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

A) $6.87

B) $3.09

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

I just submited that same exact test from connexus

Answer: D 500 cubic centimeters

Step-by-step explanation:

The formula of a volume is Volume = Length x Width x Height. In this case, it already gave us all of the sides that we need! So all we need to do is multiply 5 x 5 x 20 which gives us 500 cubic centimeters!

Hope this helped! ^^

Answer:

B 292

Step-by-step explanation:

Hello There!

The first thing we want to do is find the formula for surface area of a rectangle

[tex]SA=2(wl+hl+hw)[/tex]

where w = width h = height and l = length

we are given the dimension:

h = 7

w = 8

l = 6

all we have to do is plug in

[tex]SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292[/tex]

so we can conclude that the surface area is 292

Answer: y>-2/6+2

Step-by-step explanation:

We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

Answer:

c.42

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

10+4= 14 so that is one side

14x3=42

So the answer is 42 so C

9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

  arc PQ = 360° -137° -114° = 109°

__

  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

  ∠Q = 89°

__

  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

  ∠R = 123°

__

  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°

Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft