What are the next three terms in the sequence 90, 84, 78,
72, ...?

Answer:

x=2

Step-by-step explanation:

Primero, necesitamos calcular <<a>>

Sabemos que AD=BC y AB=CD porque lados opuestos congruentes

Entonces, vamos a calcular <<a>>.

Usamos AD y BC

2a-1=4a-15

suma 15 a ambos lados

2a+14=4

añada 2 en ambos lados

14=2a

divida

7=a

Ahora, usamos esta información para calcular <<x>>

Usamos CD=AB

2a-8=4x-2

pero sabemos que <<a>> es 7

entonces:

14-8=4x-2

6=4x-2

8=4x

2=x

<<x>> es 2

(¡lo siento mi español no es perfecto!

Answer:

12. 30

13. 3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve

3/5 is 3 divided by  and "of" is basically multiply by 45

3/5*45

.6*45

27

Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

Answer:

the missing terms are x, y

we have:

x + 7 = 4 => x = -3

13 - y = y - 5

<=> 2y = 18

<=> y = 9

so the missing terms are -3; 9

Answer:

4 hours

Step-by-step explanation:

A = 12 + 4t

B = 8 + 5t

12 + 4t = 8 + 5t

t = 4

The cost of each garage would be the same when Camden parked the car for 4 hours

Answer:

oc)0.83

Step-by-step explanation:

have a good day!!!

Answer:

Step-by-step explanation:

3r+4+8r-2 = 90

11r +2 = 90

11r= 88

Answer: 23/4 is you answer!!

Step-by-step explanation:

Answer: 5 3/4

Step-by-step explanation: I put them in the same denominator to add them

Answer:

608 ft²

Step-by-step explanation:

1) Find the area of the bases

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height

Plug in b and h

[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

2) Find the area of the two sides facing up

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=10*16\\A=160[/tex]

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

3) Find the area of the bottom side

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=12*16\\A=192[/tex]

Therefore, the area of this side is 192 ft².

4) Add all the areas together

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

Answer:

608

Step-by-step explanation:

first off you have to find the area of the base

the base is 16 by 12 feet.

so you multiply them and you get

16*12=192 you will have to come back later for this number

next, you find the two outsides of the triangular prism.

they are 10 by 16

10*16=160 and there are two of them so you double it and get 320

now save the 320 too with the 192

now we are going to find the triangles

the formula for an area of a triangle is A=1/2h*w

so we plug in the height which is 8 and the width which is 12

A=1/2(8)*(12)

Simplify

A=48 once again there are two of them so we double it to make it 96

now take all your saved numbers and add them all up

96+320+192

this should give you an answer of 608

hope this helps! have a nice day:)

Answer:

150

Step-by-step explanation:

10%=15

100%=150

15 x 10=150

to check find 90% of 150 which is 135

150-135=15

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min

Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min

Now,

[tex]\frac{1}{4}[/tex]  + [tex]\frac{1}{6}[/tex]  = [tex]\frac{1}{x}[/tex]

⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]

⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]

⇒10x = 24

⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Answer:

My best guess C im pretty sure.

f(5) = 1/4(2)^5

f(5) = 1/4 (32)

f(5) = 8

answer

A. 8

Answer:

2,200,000 :) give brainliest

Step-by-step explanation:

Answer:

$450

Step-by-step explanation:

C = k[tex]r^{2}[/tex]

200 = k([tex]2^{2}[/tex]) = 4k

k = 50

C = 50[tex]r^{2}[/tex] = 50([tex]3^{2}[/tex]) = 50(9) = $450

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

Answer:

let the ratio be in x

a/q. 3x + 2x = 300000

5x = 300000

x = 300000/5

x= 60000

Leona = 60000*3 = 180000

Janet = 60000*2 = 120000

hope it helps

Answer:

9/56

Step-by-step explanation:

..................

Answer:

B

Step-by-step explanation:

Corresponding angles form a sideways U when you connect the angles.

b is the only one that does that.

1 and 4 are consecutive angles.

1 and 3 are vertical angles

4 and 3 are linear pair angles.

Answer:

geyser =groundwater    

glacier = freshwater

lake=freshwater

ocean=salt water

Step-by-step explanation:

Answer:

300%

Step-by-step explanation:

Given

[tex]y\ \alpha\ \frac{1}{x^2}[/tex]

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

[tex]y\ = \ \frac{k}{x^2}[/tex]

Where k is the constant of proportionality

When x decreased by 50%

[tex]Y = \frac{k}{(x - 0.5x)^2}[/tex]

[tex]Y = \frac{k}{(0.5x)^2}[/tex]

[tex]Y = \frac{k}{0.25x^2}[/tex]

Expand

[tex]Y = \frac{1}{0.25} * \frac{k}{x^2}[/tex]

Substitute [tex]\frac{k}{x^2}[/tex] for y

[tex]Y = \frac{1}{0.25} * y[/tex]

[tex]Y = 4 * y[/tex]

[tex]Y = 4 y[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{4y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{3y}{y} * 100\%[/tex]

[tex]\%Change = 3 * 100\%[/tex]

[tex]\%Change = 300\%[/tex]

The percentage in y is 300%

From the calculation, the percentage change in y is 300%.

From the statement of the question; y α 1/x^2 so introducing the constant of proportionality, we have; y =k/x^2 so k = x^2y.

We are then told that x is decreased by 50% hence;

Y = k/(x - 0.25x)^2

Y = k/(0.5x)^2

Y = 1/0.25 k/x^2

But k/x^2 = y so;

Y = 1/0.25 y

Y = 4y

Change = 4y -y/y * 100/1

= 300%

Learn more about percentage change: https://brainly.com/question/15308590

Answer:

(A:

Step-by-step explanation:

EXAMPLE:

in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2

the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower

hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)

MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D

Answer:

21.2863≈21.3 feet

Step-by-step explanation:

Answer:

21.3

Step-by-step explanation:

Answer:

A) 18

B)9

C)-2

Step-by-step explanation:

Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.

Answer:

yes

Step-by-step explanation:

Hey There!

So if you didn't know in order for it to be a function none of the x values can repeat

In the given relation none of the x values repeat, or each input has a different output therefore it is a function

Answer:

14

Step-by-step explanation:

A fully loaded truck weighs 10 3/5 tons

After unloading the truck weighed 3 2/3 tons

Therefore the weight of the load can be calculated as follows

= 10 3/5 - 3 2/3

= 53/5 - 11/3

= 265-55/15

= 210/15

= 14

Hence the weight of the load 14

Answer:

x = 26

Step-by-step explanation:

6x + 6x + (x-2) + (x-2) = 360

14x - 4 = 360

14x = 364

x = 26

6(26) = 156

(26 - 2) = 24

Answer:

[tex]n^{3} + 15n^{2} + 56n[/tex]

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]

 n ([tex]n^{2} +15n + 56[/tex])

= [tex]n^{3} + 15n^{2} + 56n[/tex]

Answer:

12) Option 3

13) Option 2

Step-by-step explanation: