EXERCISE 1. Find the equation of the straight line through the point (2, 3) whose intercept on s-axis is twice that on y-axis.​

The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.

There are 12 oxygen atoms, when the number of sulfur atom is 6.

From the diagram, we have:

[tex]S = 1[/tex]

[tex]O_x = 2[/tex]

So, the ratio is:

[tex]S : O_x = 1 : 2[/tex]

When there are 6 sulfur atoms, the equation becomes

[tex]6 : O_x = 1 : 2[/tex]

Express as a fraction

[tex]\frac{O_x}{6}= \frac{2}{1}[/tex]

Multiply both sides by 6

[tex]O_x = 2 \times 6[/tex]

[tex]O_x =12[/tex]

Hence, there are 12 oxygen atoms

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u need to finish 4 assignments in 1 hour

Let the cost of a lamp = x

6 lamps would cost 6x

He bought 3 lamps at 3x plus Thad 950 left.

3 lamps plus the 950

Would be the same amount as 6 lamps:

Set up an equation and solve for x:

3x + 950 = 6x

Subtract 3x from both sides:

950 = 3x

Divide both sides by 3:

X = 316.67

Each lamp was $316.67

Multiply the price of a lamp by 6:

316.67 x 6 = 1900

He had $1900

Answer: $1900

Step-by-step explanation:

Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).

So, if he take money remaining with him = x = $950

Amount of money he first had = 2x =$950×2 = $1900

Answer:

2 ways

Step-by-step explanation:

6G and 2B

5G and 3B

Answer:

Hello

Step-by-step explanation:

Axis of symmetry is vertical:

x=-7 (since (-7,-3) is the vertex)

Answer:

x = -7

Step-by-step explanation:

y = (x+7)^2 -3

This is in vertex form

y =a(x-h)^2+k  where (h,k) is the vertex and the line of symmetry for a vertical parabola is x=h

y = (x- -7)^2 -3

x = -7

Answer:

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Step-by-step explanation:

if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that

11x + 10y = 10.6 * 20

x+y=20

10x+10y=200

11x+10y=212

x=12

y = 20-x = 20-12 = 8

so you want to use

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Answer:

[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]

Use the formula given. R is half the diameter

R = 14/2 = 7 inches.

Area = 3.14 x 7^2

Area = 153.86 inches^2

Answer:

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Answer:

see below

Step-by-step explanation:

point A(x,y) becomes A'(-x,-y).

So point E (-3,-5) becomes  E'( 3,5)

F (-1,-1) becomes F'(1,1)

and G (0,-5) becomes G'( 0,5)

Answer:

x^2 + 13x + 2

Step-by-step explanation:

The perimeter is all of the sides added up.

11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)

11 + 3x + x^2 + 2 + 6x -5 + 4x - 6

x^2 + 13x + 2

Basically, we combine like terms and you will get a final answer of:

x^2 + 13x + 2.

This is the simplified expression! I hope this helped.

Answer:

8 hours 10 minutes

I hope this answers your question

Answer: paul has been away from home for 7 hours and 50 minutes.

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

Solving the first equation, 4x - 5 = 96, we get x = 25.25:

4x - 5 = 96

add 5 to both sides

4x = 101

divide both sides by 4

x = 25.25

Then we plug that into 4x + 12.

We already know 4x = 101, so 101 + 12 = 113

The value of the expression will be equal to 113.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Solving the first equation, 4x - 5 = 96, we get x = 25.25:

4x - 5 = 96

Add 5 to both sides.

4x = 101

Divide both sides by 4.

x = 25.25

Then we plug that into 4x + 12.

4x = 101,

Substitute the value of 4x into the expression.

101 + 12 = 113

Therefore, the value of the expression will be equal to 113.

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Answer:

3 one

Step-by-step explanation:

Answer:

3 option is correct

Step-by-step explanation:

gd afternoon

have a lovely day

Plugging in the values, we see that object 1 has more potential energy (the ball to the left)

Answer:

28 4/9

Step-by-step explanation:

5 1/3 times 5 1/3

Answer:

Below

Step-by-step explanation:

To find the volume of a rectangular prism find the area of a face and multiply it by the height

V = lwh

  = (12)(5)(12)

  = 720 km^3

Hope this helps!

Step-by-step explanation:

I guess option 1 is correct answer

Answer:

x=0, 7

Step-by-step explanation:

x^2-3x=4x

x^2-7x=0

x(x-7)=0

x=0 or 7

Answer:

x=0  x=7

Step-by-step explanation:

x^2 -3x = 4x

Subtract 4x from each side

x^2 -3x-4x=0

x^2 -7x = 0

Factor out an x

x(x-7) =0

Using the zero product property

x=0  x-7 =0

x=0  x=7

Answer:

AC = 7.3 in

Step-by-step explanation:

tan(51°) = 9/AC

1.24 = 9/AC

AC = 9/1.24

AC = 7.26

Answer:

a

Step-by-step explanation:

distributive property

Step-by-step explanation:

volume of triangular prism= area of cross section *length

volume of triangular prism= area of cross section *lengthv=(1/2bh)l

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40 =(35/2)40

=17.5*40

=700cm³

The volume of triangular prism is 700cm³

Answer:

Step-by-step explanation:

Good luck

Answer:

(3, 2)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3, 2)

Equation Form:

x = 3

y = 2

Answer:

y=-5/8x+0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

Answer:

Step-by-step explanation:

y = mx + b

"m" is slope ; "b" is y-intercept.

~~~~~~~

y = - 3x + 8

m = - 3

b = 8

Consecutive years that saw the largest increase in median mode is C. 1998-1999.

Median is the the middle term when data are arranged in ascending or descending order when we have odd number of terms and median is sum of the mean of the middle term and the next term when we have even number of terms.

According to the figure and statement given a bar graph hows the median income for families in the United States from 1993 through 2000.

We have to determine which two years saw the largest increase in median income.

If we observe the graph carefully and go through options we can conclude that 1998-1999 has the largest increase in median income which is of 1500 dollars.

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Answer:

tax=31.83 and total=278.67

Step-by-step explanation:

310.50×10.25/100

Tax=31.83

Total=310.50-31.83

=278.67

Answer:

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