What was the main purpose of the Declaration of Independence?

Answer:

You could multiply the top or the bottom equation by a negative (-1) and then add the equation together/continue with the steps of elimination and you will have gotten rid of X. Answer to the problem is (2,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A proportional constant satisfies

y/x=k, where k is the constant of proportion

Since

y/x=k

y=kx

You are given

y=1.5x so

k=1.5

Answer:

6/7

Step-by-step explanation:

Answer:

4.040,000

Step-by-step explanation:

Answer:

Hi how are you doing today Jasmine

Answer:

1 student =1 mat then 1×8=8 students floor =10 your answer is 8 over 10

Answer:

10% of people don't like either. Your answer is 120 people.

Step-by-step explanation:

Answer:

1) x = 14

2) x = 25

Step-by-step explanation:

1)

3x - 2 + 50 = 90

3x + 48 = 90

3x = 42

x = 14

2)

4x + 2 + 78 = 180

4x + 80 = 180

4x = 100

x = 25

Answer:

The answer is pentagon

y = 2x

Month    Height

1              2 ft

2             4 ft

3             6 ft

4             8 ft

and then, plot these points on the graph:

(1,2) ... (2,4) ... (3,6) ... (4,8) ...

Answer:

64 feet cubed

Step-by-step explanation:

4x4x4=64

Answer:

V=Volume

V = 64 ft³

4 x 4 x 4 = 64 or 64 ft³

Answer:

Step-by-step explanation:

Susan's online tablet would be 40% of the price that

A mini laptop computer is on sale for 40% off the regular price of $450. How much is the discount?

180$

Answer:

They ate 3/4 of the pizza. 1/4 of it was left.

Step-by-step explanation:

Answer:

They ate 3/4 of the pizza.

Bilal had 1/4 of the pizza

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

long= 8ft

tall= 20

width= 10

Answer:

4 dollars, $4

Step-by-step explanation:

As for the cost being on the side and the amount of bag tags being on the bottom, thats the first step, to study the cost to tag ratio.

1st dot: 8:2

2nd dot: 4:16

3rd dot: 24:8

Now, simply divide 8 from 2, you get 4.

Divide 4 from 16, you get 4

Lastly, divide 24 from 8 and you get 4.

That all rounds up to a integer 4 :}

Hope it helps!!

Answer:

4

Step-by-step explanation:

Given:

The sequence is 8, 10, 12.5, 15.625,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

8, 10, 12.5, 15.625,...

Here, the first terms is 8.

[tex]\dfrac{10}{8}=1.25[/tex]

[tex]\dfrac{12.5}{10}=1.25[/tex]

[tex]\dfrac{15.625}{12.5}=1.25[/tex]

The common ratio is 1.25. So, the given sequence is a geometric sequence.

The explicit formula for a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The explicit formula for the given geometric sequence is:

[tex]a_n=8(1.25)^{n-1}[/tex]

Therefore, the correct option is A.

Answer:

10.4 miles

Step-by-step explanation:

c(m) = trip cost

c(m) = 6.75 + 3.2m

40.03 = 6.75 = 3.2m

33.28 = 3.2m

m = 10.4

Answer:

Cream = 3 cups

Chocolate = 6 cups

Step-by-step explanation:

Cream = 1 cup

Chocolate = 2 cups

Total = 3 cups

Cream : chocolate = 1 : 2

He uses 9 cups of these two ingredients. How many cups of chocolate does he use in this candy recipe?

Cream = ratio of cream/total ratio of total cups

= 1/3 of 9

= 1/3 × 9

= 3 cups

Cream = 3 cups

Chocolate = ratio of chocolate/total ratio of total cups

= 2/3 of 9

= 2/3 × 9

= 6 cups

Chocolate = 6 cups

Answer:

5 3/5

Step-by-step explanation:

17/5+11/5=28/5=5 3/5

Answer:

5 3/5

Step-by-step explanation:

3+2

2/5 + 1/5

5+3/5

5 3/5

Answer:

The y-intercept of the line is 9.

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-2(x-4)

y-1=-2x+8

y=-2x+8+1

y=-2x+9

y=mx+b where m=slope and b=y-intercept

Answer:

7.20

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation y=0 means y always equals zero, so the point (x,y) cannot be (0,7) because that says y=7

Answer:

Step-by-step explanation:

             →    Scone   Muffin   Cookie

↓ Coffee

Tea

120 ÷ 500 × 100 = 24%

180 ÷ 500 × 100 = 36%

Answer:

(I attached an image of the graphed lines)

Step-by-step explanation:

First, we need to graph the original function:

Next, we need to find the inverse of the function and graph that as well:

Answer:

$4.60 dollars

Step-by-step explanation:

Oliver deposits P= $1,000

Then total amount A after n months given that the balance increases by %15 each month can be calculated as

[tex]A= 1000(1+15/100)^n[/tex]

Assuming the increase in amount is compounded monthly.

Answer:

See attachment for histogram

Step-by-step explanation:

Given

[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]

Required

Represent on histogram

Calculate the range of the data

[tex]Range = 32.9 - 21[/tex]

[tex]Range = 11.9[/tex]

Using a width of 5, we have:

[tex]Class = \frac{Range}{5}[/tex]

[tex]Class = \frac{11.9}{5}[/tex]

[tex]Class =2.38[/tex]

Round up

[tex]Class = 3[/tex]

This means that the class will have 3 classes which are:

21.0 - 24.9, 25.0 - 29.9  and 30.0 - 34.9

The frequency table is as follows:

[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]

See attachment for histogram

Step-by-step explanation:

= 18 a³/ - 3 a

= - 6 a²

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