After 10 weeks of work, bob has $1200. After 15 weeks of work Bob has $1800. After 20 weeks of work Bob has $2400. Write the firs four terms of a sequence that represents this situation. Writ and equation to model the situation

Answer:

1.D

2. B

Step-by-step explanation:

by inspection that's the answer

I just did cross multiplication and added lcm

but to get the answer you multiply through by -1 (I mean both numerator and denominator)

2. by inspection answer b is the best fit

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of [tex]\overline {TU}[/tex] = The length of [tex]\overline {SR}[/tex] = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line [tex]\overline {VT}[/tex]

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of [tex]\overline {SR}[/tex] = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of [tex]\overline {SR}[/tex] and [tex]\overline {VT}[/tex]

The equation of the line [tex]\overline {SR}[/tex] in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line [tex]\overline {VT}[/tex] = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

Answer:

Im pretty sure its 32

Step-by-step explanation:

Answer:10^2+24^2

Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

Answer:

A.measure of centre?

measure of spread is Independent variable ie y and dependent variable is x

B.measure canter integers

measure spread is variable x

I hope it helped

Answer:

Yep, im pretty sure everything is good, good job!

Step-by-step explanation:

Answer:

1/2, 2/4, and 5/10 in ratio terms 1 : 2, 2 : 4, and 5 : 10

Answer:

1/3y - 7

Step-by-step explanation:

Add the like terms

-3 + (-4) = -7

     and

2/3y + (-1/3y) = 1/3y

Hope this helps :)

Answer:

y= 1/3

Step-by-step explanation:

-3 + [tex]\frac{2}{3y}[/tex] − 4 −[tex]\frac{1}{3y}[/tex]

= -9y +2 - 4y - 1

13y= 1

y= 1/3

Answer: 1 inch:1 feet

Step-by-step explanation:

Since we are informed that the scale drawing of an American flag is 5 inches long and 3 inches tall and the actual flag is 3 feet tall.

To calculate the scale of the drawing, we should note that the height of the drawing is 3 inches tall while the height of the actual flag is 3 feet tall. It simply means that (3/3 = 1 inch represents 1 feet

Answer:

8100 cubic ft

Step-by-step explanation:

[tex]v = l \times w \times h \\v = 75 \times 9 \times 12 \\ \\ v = 8100 [/tex]

Answer: 891 feet cubed

Step-by-step explanation:

Answer:

75000

Step-by-step explanation:

Answer:

plz mark me as brainliest. :) (use quill bot for paraphrasing!)

Step-by-step explanation:

I applied proportional reasoning as I worked through these problems by using this reasoning to answer all the questions.

Proportional reasoning can be applied by using formal operational reasoning. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.

According to Piaget's model of mental development, "formal operational reasoning," which is learned in the later phases of intellectual development, includes arguments based upon relations of proportionality. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.

Finding missing values is only one aspect of proportional reasoning; it also serves as a lens through which to solve problems and builds crucial groundwork for mathematical thinking. Proportional reasoning can be applied by using formal operational reasoning.

Therefore, proportional reasoning can be applied by using formal operational reasoning.

To know more about proportional reasoning, here:

https://brainly.com/question/28001172

#SPJ3

Answer:

Step-by-step explanation:

11 - 6 = 5  ,   16 - 11 = 5  ,  21 - 16 = 5

So, it's atithmetic formula with common difference os 5

[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]

Answer:

-525 feet

Step-by-step explanation:

800 feet below is negative 800 feet ---> -800

-800 + 275 = -525

Answer:

x = 16

Step-by-step explanation:

Let's break it down

Doing ^4/3 is the same as doing 2^4

(8 = 2*2*2. You add an extra 1/3 which means you multiply by 2 again = 2^4)

So let's write the equation

x=16

If my answer is wrong, pls correct me

If you like my answer and explanation, pls mark me as brainliest

-Chetan K

Answer:

Idont know the answer sa susunod nalang

Step-by-step explanation:

area of square=side*side and perimeter of square =4*side...........

now you solve yourself

Answer:

Its the last option GFI and HIK

Step-by-step explanation:

Answer:

C -8

Step-by-step explanation:

Hope it helps :)!!

Answer:

-2.4

Step-by-step explanation:

Given data

We have the expression before us as

−4.5 + p6= −18.9

Collect like terms

p6= −18.9+4.5

p6= -14.4

Divide both sides by 6

p= -14.4/6

p=-2.4

Hence the value of p= -2.4

Answer:

That one answer you see below is wrong

Step-by-step explanation:

Thats it

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

[tex]A=\dfrac{1}{2}\times Base\times height[/tex]

So, the area of Each right triangular tile is:

[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]

[tex]A=\dfrac{1}{2}\times 31.2[/tex]

[tex]A=15.6[/tex]

There are 150 tiles in the mosaic. So, the area of the mosaic is:

[tex]Area=15.6\times 150[/tex]

[tex]Area=2340[/tex]

Therefore, the total area of the mosaic is 2340 cm ².

Answer:

The answer is 2/361 or in decimal its approximately 0.00554017.

Step-by-step explanation:

Hope this helps

Answer:

21 feet

Step-by-step explanation:

108 inches / 12 = 9 feet.

9+12=21 feet

Answer: (0,-4)

explanation: write in vertex form and use this form to find the vertex ( h , k )

AC=BD

64 units=10x+24

64-24=10x

40=10x

X=40 divided by 10= 4

hope it helps:)))

Answer:b

Step-by-step explanation:

Answer:

The answer is going to be 13/5 or 2.6

Step-by-step explanation:

You are going to need to divide both sides by the constant of -5 in order to get s by itsef. After you divide both sides by -5, you will get -13/-5 which two negatives divided by a positive so it would be 13/5 or if you turn it into an integer, it would be 2.6

Answer:  c. during several storms, there were five hours of delay for every eight hours of rain

Step-by-step explanation: i just had this question

Answer:

the second steps was wrong.

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

5x-7x=4+6

-2x=10

x=-5