Which situation best represents a proportional relationship?

Answer:

116 cm²

Step-by-step explanation:

a = side length of A

b = side length of B

b = a + 4

b² = a² + 70

(a+4)² = a² + 70

a² + 8a + 16 = a² + 70

8a + 16 = 70

8a = 54

a = 54/8 = 27/4 = 6.75

b² = a² + 70 = 6.75² + 70 = 45.5625 + 70 =

= 115.5625 ≈ 116 cm²

our does your teacher mean 3 significant figures after the decimal point ? then it would be

115.563 cm²

Given:

In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].

To find:

The value of x.

Solution:

In a parallelogram, the consecutive interior angles are supplementary angles.

In parallelogram PQRS,

[tex]m\angle Q+m\angle R=180^\circ[/tex]            (Supplementary angles)

[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]

[tex](20+8x)^\circ=180^\circ[/tex]

[tex]20+8x=180[/tex]

Subtracting 20 from both sides, we get

[tex]8x=180-20[/tex]

[tex]8x=160[/tex]

Divide both sides by 8.

[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]

[tex]x=20[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

$1674

$16926

Step-by-step explanation:

A used automobile dealership recently reduced the price of a used compact car by 9%. If the price of the car before the discount was $18,600, find the discount and the new price?

Discount = percentage discount x original price

0.09 x  $18,600 = $1674

New price = original price - discount

$18,600 - $1674 = $16926

Answer:

I think the answer is The x-intercept of the boundary line is (-3/2,0).

Step-by-step explanation:

the x-intercept of boundary line is (-3,0)

Step-by-step explanation:

hope it helps thanks❤

Answer:

6^2 + 6^2 = 72 sqrt(72) =     8.49

Step-by-step explanation:

use pythagorean therom a^2 + b^2 = c^2

where c is the hyp.

Answer: 6 sqrt 2

Step-by-step explanation:

Answer:

x-3=4

x=4+3

X=7

or

x-3=-4

x=-4+3

x=-1

-1 and 7

Step-by-step explanation:

Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.

So within the notation, we have two possibilities to the solution, a positive and negative value.

In other words, |4| = 4 and |-4| = 4

Hence, we only need to substitute x with an appropriate integer to satisfy the answer.

|x - 3| = 4

substitute x = 7

|7 - 3| = 4

|4| = 4

substitute x = -1

|-1 - 3| = 4

|-4| = 4

Therefore the solutions to x is x = 7 and x = -1.

Answer:

-b

Step-by-step explanation:

1 is b and a negative sign shows that the number is a negative in -b there is a negative sign and b = 1 so this -b shows the number -1

Answer:

3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic

(ii). Sequence [tex]W_{n}[/tex] is in Geometric

3b. 2520 Sum of First 20 Arithmetic Sequence

3c. 98292 Sum of First 13 Geometric Sequence

Step-by-step explanation:

According to the Question,

3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....

it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12

(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....

A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2

3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]

(Where, a=first term of sequence , n= number of term & d=common difference)

[tex]S_{n}[/tex]=10[2×12 + 19×12]

[tex]S_{n}[/tex] =10×252  ⇔  2520

3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]

(Where, a=first term of sequence , n= number of term & r= common ratio)

[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1

[tex]S_{n}[/tex]=12×8191  ⇔  98292

Answer:

(-1,3)

Step-by-step explanation:

Solve for x in the first equation

3x = 6 - 3y

9x - 5y= -24

Replace all occurrences of x with 2 - y in each equation

9(2 - y) - 5y = -24

x = 2 - y

Simplify the left side

18 - 4y = -24

x = 2 - y

Solve for y in the first equation

-14y = -42

x = 2 - y

y=3

x = 2- y

Replace all occurrences of y with 3 in each equation

x=-1

y=3

(-1,3)

Hope this helps!

Please give brainliest :)

If you need more help with these types of equations reach out to me!

Simplifying

3x + 6 = 9x + -24

Reorder the terms:

6 + 3x = 9x + -24

Reorder the terms:

6 + 3x = -24 + 9x

Solving

6 + 3x = -24 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

6 + 3x + -9x = -24 + 9x + -9x

Combine like terms: 3x + -9x = -6x

6 + -6x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0

6 + -6x = -24 + 0

6 + -6x = -24

Add '-6' to each side of the equation.

6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -24 + -6

-6x = -24 + -6

Combine like terms: -24 + -6 = -30

-6x = -30

Divide each side by '-6'.

x = 5

Simplifying

x = 5

Answer:

linear means a line (that eliminates c and d)

as "X" increases the "Y" value "DECREASES" so the answer is "B"

Step-by-step explanation:

Answer:

B. Linear decreasing

Step-by-step explanation:

The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.

hope this helped. :)

Answer: i would like to sad it varies

Step-by-step explanation: the number of people required for a Vehicle to be an HOV i would say exactly 2 and greater. The state Laws also applies, so i'll add that onto it varies

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}[/tex]

                    = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{8}[/tex]

                    = [tex]\frac{1}{2}[/tex]

Therefore, scale factor by which ΔABC is dilated is [tex]\frac{1}{2}[/tex].

Option (2) will be the correct option.

Answer: 0.13 cents per minute.

Step-by-step explanation:

7.80 divided by 60(min per hour.)= .13 cents.

Answer:

3ab

Step-by-step explanation:

because it is answer

Answer:

D)

Step-by-step explanation:

0.04, 0.40, 4.04, 40.04

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

Answer:

76%

Step-by-step explanation:

Number of students=25

Number of girls=6

Number of boys=25-6=19

% of boys=number of boys/number of students x 100

=19/25x100

=19x4=76%

Answer:

227 * 7^2

Put into calculator

Step-by-step explanation:

Area of a circle is pi * r^2 (pi times radius squared)

Just put the numbers in

227 * 7^2

Put into calculator and there you go

Answer:

32

Step-by-step explanation:

a quart is four cups 8,16,24,32 so 32

Answer: 1 Quart is equal to 32 fluid ounces (oz).

Step-by-step explanation:

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Answer:

C. Add 9.6, then divide by 3.2.

Step-by-step explanation:

[tex]3.2x−9.6=38.4[/tex]

[tex]3.2x=38.4+9.6[/tex]

[tex]3.2x=48[/tex]

[tex]x = 15[/tex]

Answer:

B.

Step-by-step explanation:

you know that (a+b+c)/d is the same as a/d + b/d + c/d.

and (a×b)/(c×d) is the same as (a/c)×(b/d).

and the powers of variables subtract when the variables are divided, and the powers add when the variables are multiplied.

14a⁸y³ / 7a⁴y

14/7 = 2

a⁸/a⁴ = a⁴

y³/y = y²

=> 2a⁴y² is the first part. that eliminates already all other answer options. only B can be right.

but let's practice and look at the second part :

-7a⁴y⁵ / 7a⁴y

-7/7 = -1

a⁴/a⁴ = 1

y⁵/y = y⁴

=> -y⁴ is the second part. B is still confirmed.

the third part :

28a¹²y² / 7a⁴y

28/7 = 4

a¹²/a⁴ = a⁸

y²/y = y

=> + 4a⁸y is the third part. B confirmed.

Answer:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

Step-by-step explanation:

Let be x the first number and y the second number.

So we have:

[tex]x+y=-9[/tex] (1)

[tex]x*y=-30[/tex] (2)

Solve x from equation 1 and put it into equation 2

[tex]x=-9-y[/tex]

[tex](-9-y)*y=-30[/tex]

[tex]-9y-y^{2}=-30[/tex]

[tex]y^{2}+9y-30=0[/tex]

Solving this quadratic equation and put it on the equation (1) the solutions will be:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

I hope it helps you!

Answer:

4.9 x 10^5

Step-by-step explanation:

the answer is 4.9 x 10^5

Step-by-step explanation:

12x-4x=37-5

8x=32

x=32/8

x=4

Answer:

2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side ( hypotenuse ) be x , then

x² = 1² + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

61.6 dollars

Step-by-step explanation:

So, lets go over what we know:

The shows orginally cost 88 dollars.

They are 30% less than that.

This basically means that the shoes will cost 70 percent of their orginal price.

We can basically find the new cost by multiplying the 88 dollars by the 70 percent.

Or, multiplying 88 by 0.7, which is the decimal form of 70%.

88*0.7=61.6

How did I get this?

Multiply 80 by 0.7:

7*8=56

We have 0.7 so it = 5.6

However, it's tens place is 80, not 8, so it will be = 56

It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8

= 5.6

56+5.6=61.6

So 61.6 is our answer.

Hope this helps!

Answer:

$61.60

Step-by-step explanation:

the other answer is correct.

just to add some explanation about the % considerations.

we know $88 is 100%

in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).

so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.

70% = (100% / 100) × 70 = 100% × 70 / 100

70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)

70% = 100% × 0.7

70% = $88 × 0.7 = $61.60

Answer:

83.5units

Step-by-step explanation:

Find the diagram attached

Since both triangles are similar, then;

AB/DB = BC/EF

11/54 = 17/EF

Cross multiply

11EF = 17 * 54

11EF = 918

EF = 918/11

EF = 83.5

Hence the length of EF to the nearest tenth is 83.5units