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Answers

Answer 1
Answer: A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled.

So the answer would be C

But lets see the proof:
The first x and y ratio is 2:6 which equals 1:3
The second one is 4:12 which equals 1:3
The third one is 6: 18 which equals 1:3
The fourth one is 8: 24 which equals 1:3

Which means all 4 of the ratios are the same. So therefore the answer is C
Answer 2
Answer: A proportional relationship meaning that all the sets are proportional.

A) 2/6 = 0.33
     5/8 = 0.625

So, A is a wrong answer.

C) 8/4 = 2
    24/4 = 6

4/12 = 2/6
6/18 = 2/6

Therefore, we have a proportional relationship!

Answer:-  C. 



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What is the unit rate in dollars per hour if u have 3.5 hours equals $10

Answers

Okay. So this is a simple division problem. All you need to do is divide 10 by 3.5. This will figure out how much you spend per single hour. you'll come up with around 2.855. So I'd round down, and say $2.85 per hour.
3.5 hours equal $10
3.5 hours= 7/2 hours

if 7/2 hours = $10
1 hour = (10)/( (7)/(2) ) = 10*(2)/(7) = (20)/(7) dollars

Unit rate = $(20/7) per hour

To which rational number subset(s) does the following number belong? 4/13 I. Rational Numbers II. Natural Numbers III. Whole Numbers IV. Integers

Answers

1. Rational numbers
because A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

Answer :r

rational number

Step-by-step explanation:

Sketch a plane containing points E,D, and B; where E and B are collinear with A , and D is a vertex where CD and FD meet. PLEASE HELP.

Answers

Solution:

we have been asked to sketch a plane containing points E, D and B.

where E and B are collinear with A. It mean all thses three points will fall on a straight line. Also D is a vertex where CD and FD meets.

The sketch has been attched below.

Here as you can see three points are in a staright line and we have another one in whuch two vectors CD and FD are meeting at the vertex D.

Find the missing values for multiplication equation 7/8

Answers

Simple (Cross multiplication ) 

7        x
_        _                      = 700/8 = 87.5  (100-87.5 = 12.5 is the missing value.

8        100 

05.05 HC) Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of Figure ABCD?

Answers

Answer:

The area of ABCD is 24 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- All the point in a vertical line have the same x-coordinates

- The length of the vertical line is y2 - y1

- All the point in a horizontal line have the same y-coordinates

- The length of the horizontal line is x2 - x1

- The horizontal and the vertical lines are perpendicular to each other

- The trapezoid has two parallel bases not equal in length and the other

 two sides are nonparallel sides

- The area of the trapezoid = 1/2 (sum of the two // bases) × height

* Lets solve the problem

∵ ABCD is a quadrilateral

∵ A = (-2 , 3) , B = (4 , 3) , C = (4 , -2) , D = (-2 , 0)

∵ Side AD has same x-coordinates in A and D (-2)

AD is vertical side

AD = 3 - 0 = 3

∵ Side BC has same x-coordinates in B and C (4)

BC is vertical side

BC = 3 - (-2) = 3 + 2 = 5

∵ AD and BC are vertical lines

AD // BC

∵ Side AB has same y-coordinates in A and B (3)

AB is horizontal side

AB = 4 - (-2) = 4 + 2 = 6

∵ The horizontal and the vertical lines are perpendicular to each other

AB is perpendicular on AD and BC

∵ The side CD is not vertical or horizontal

∴ ABCD has only two parallel sides AD and BC

∵ AD ≠ BC

ABCD is a trapezoid

∵ The two parallel bases are AD and BC

∵ Its height is AB

∵ AD = 3 , BC = 5 , AB = 6

∴ Its area = 1/2 (3 + 5) × 6 = 1/2 (8) × 6 = 4 × 6 = 24 units²

* The area of ABCD is 24 units²

Answer:

24 square units

i did the test

Step-by-step explanation:

2) Amanda invests $6,540 in a retirementaccount with a fixed annual interest rate of
5% compounded 6 times per year. What will
the account balance be after 20 years?
A) $16,031.88 B) $17,704.05
C) $15,329.01 D) $16,844.10

Answers

Answer:

B) $17,704.05

Step-by-step explanation:

20 years later is a time in the future so you use Future value formula;

FV = PV* (1+r)^t

where PV= Amount invested in the present = $6,540

r= discount rate = (5% / 6) = 0.833% or 0.00833

t= total duration = 20 *6 = 120

Next, plug in the numbers into the formula;

=6,540* (1+0.00833)^120

=6,540 * 2.707041491

= 17,704.05

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