What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x + 3y =13 A) solve for y in terms of x B) solve for x in terms of y C) multiply the first equation by −2 D) multiply the second equation by −2

Answer:

No Solution.

Step-by-step explanation:

x-3y=-4

2x-6y=6

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simplify 2x-6y=6 into x-3y=3

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x-3y=-4

x-3y=3

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x-3y=-4

-(x-3y)=-1(3)

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x-3y=-4

-x+3y=-3

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0=-7

no solution

The equations x - 3y = -4 and 2x - 6y = 6 represent a system with parallel lines that do not intersect, therefore there are no solutions to this system of equations.

Let's solve the system of equations using the method of substitution or elimination. First, look at the two given equations:

It's clear that Equation 2 is simply Equation 1 multiplied by 2. This implies the two equations are multiples of each other, which could mean the system has an infinite number of solutions or no solutions. Let's simplify Equation 2 to confirm:

Divide Equation 2 by 2:

2x/2 - 6y/2 = 6/2

x - 3y = 3

This new equation contradicts Equation 1 (x - 3y = -4), which indicates that there are no solutions since the two lines are parallel and will never intersect.

Answer:

B. 30cm³

Step-by-step explanation:

Volume of a prism=length×Breadth×Height(L×B×H)

Where Length(L)=5-cm, Breadth(B)= 2-cm Height(H)=3-cm

∴Volume=5×2×3=30 cm³

The total cost of c ounces of cinnamon would be $0.79c

Since each ounce costs $0.79, just multiply this number by the number of ounces to get the cost.

Answer:

You have to show us the shape for us to write down the expression.

Use long division (see attached image below) to divide 250 over 9. The image shown has a red quotient of 27 and a blue remainder of 7.

This means there will be 27 full boxes with 9 cookies each. That accounts for 27*9 = 243 cookies so far. The remaining 7 won't be able to fill a full box as we're 2 short.

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A shortcut is to use a calculator to divide 250/9 = 27.778, then you ignore the decimal portion and focus solely on the whole part 27.

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Amy will have 27 full boxes of cookies, which is determined by dividing the total number of cookies by the number of cookies per box.

To find out how many full boxes Amy will have when selling 250 chocolate chip cookies in boxes of 9, you can divide the total number of cookies by the number of cookies per box.

Number of full boxes = Total number of cookies / Cookies per box

Number of full boxes = 250 cookies / 9 cookies per box

Using division:

Number of full boxes ≈ 27.777...

Since Amy can't have a fraction of a box, she will have 27 full boxes of cookies.

To learn more about the division operation click here :

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Answer:B

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

36+6=42

42+6=48

48+6=54

54+6=60

Answer:

The initial investment was $7945.58.

Step-by-step explanation:

Use the compound interest formula: A = P(1 + r)^t

A is the ending amount, in this case 11,680.

P is the starting amount, which is unknown.

r is the interest rate in decimal form, in that case 8% is 0.08.

t is the time in years, in this case 5.

Substitute known values into the equation

A = P(1 + r)^t

11,680 = P(1.08)^5

11,680 = 1.47P

P = 11,680/1.47

P = 7945.58

The initial investment was $7945.58.

The missing terms in the geometric sequences are 360 and 1080 for sequence B, and 0.2 and 0.02 for sequence C.

In this question, we're working with geometric sequences. A geometric sequence is a sequence in which you multiply by a constant to get from one term to the next.

For sequence B, we notice that 120 is three times 40, so we're multiplying by 3 each time. Thus, the next two terms would be 360 (120 * 3) and 1080 (360 * 3).

For sequence C, we're dividing by 10 to get from one term to the next (200 / 10 = 20, 20 / 10 = 2). Thus, the missing terms would be 0.2 (2 / 10) and 0.02 (0.2 / 10).

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So, its a multiplying question - the product. Also there are multiple answers from x = negative anything to positive 14, so i chose a number.

The product of -2 and a number minus six is greater than -18.

-2 · (x - 6) > -18

-2 · (7 - 6) > -18

-2 · (1) > -18

-2 > -18

x = 7, or anything lower than 15.

On the number line btw, -2 is bigger than -18

Answer:

0.0003333333 is the answer

Answer: 0.00033333333

Step-by-step explanation: U divide, or if ur having trouble with that, use Google.

Hope this helped u :)

Answer:

5 miles

Step-by-step explanation:

0.5 x 10

= 5

Answer:

5 Miles

Step-by-step explanation:

1/5 of an hour would be 12 minutes. If it is 1/2 mile every 1/5 our, you hike 1 mile for 2/5.

1/5 = 1/2

2/5 = 1

3/5 = 1 1/2

4/5 = 2

5/5 = 2 1/2

So if 1 hour is 2 1/2 miles, you multiply it by 2, or add it withh its same number, which is,

5 miles.

Answer:

1. -6, -24, -96, -384, -1,536

2. 3, 12, 21, 30, 39

Step-by-step explanation:

1. Given

[tex]a_1=-6\\ \\a_n=4a_{n-1}[/tex]

Find [tex]a_2, \ a_3,\ a_4,\ a_5:[/tex]

[tex]a_2=4a_{2-1}=4a_1=4\cdot (-6)=-24\\ \\a_3=4a_{3-1}=4a_2=4\cdot (-24)=-96\\ \\a_4=4a_{4-1}=4a_3=4\cdot (-96)=-384\\ \\a_5=4a_{5-1}=4a_4=4\cdot (-384)=-1,536[/tex]

2. Given

[tex]a_1=3\\ \\a_n=a_{n-1}+9[/tex]

Find [tex]a_2, \ a_3,\ a_4,\ a_5:[/tex]

[tex]a_2=a_{2-1}+9=a_1+9=3+9=12\\ \\a_3=a_{3-1}+9=a_2+9=12+9=21\\ \\a_4=a_{4-1}+9=a_3+9=21+9=30\\ \\a_5=a_{5-1}+9=a_4+9=30+9=39[/tex]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation in a standard form:

[tex]6x+3y=12[/tex]

Convert:

[tex]6x+3y=12[/tex]             subtract 6x from both sides

[tex]6x-6x+3y=-6x+12[/tex]

[tex]3y=-6x+12[/tex]              divide both sides by 3

[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}+\dfrac{12}{3}[/tex]

[tex]y=-2x+4[/tex]

Answer:

y<1

Step-by-step explanation:

-2(y-4)+8y+2<16

-2y+8+8y+2<16

6y+10<16

6y<16-10

6y<6

y<6/6

y<1

The car would be worth $13,000 in the year 2011.

To calculate the value of the car in the year 2011, we need to find the depreciated value of the car each year from 2007 to 2011. The value of the car depreciates by 5% each year, which means it retains 95% of its value each year. Here are the calculations:

Therefore, in the year 2011, the car would be worth $13,000 to the nearest hundred dollars.

Cara's brother is 7 years old.

14 is twice as much as 7 (7 * 2 = 14).

Answer:

7

Step-by-step explanation:

If Cara is twice the age of her brother,

divide 14/2

7, her brother is 7

Answer:A

Step-by-step explanation:

The bottles are represented by b. Each bottle costed 2.10, so it's 2.10b. Then he also bought a pizza for 12.99. The total of all of it was 21.39.

Answer:

A. 2.10b+12.99=21.39; 4 bottles

Step-by-step explanation:

Answer:

a. 1 cup of yellow and 1.75 cups of blue

b. 4 cups of yellow and 7 cups of blue

Step-by-step explanation:

a. We can multiply both sides of this ratio by an number of our choice to get an equivalent ratio. 2:3.5 = 1: 1.75. (We are multiplying by 1/2)

b. 2 : 3.5 = 4 : 7 (We are multiplying by 2)

Answer:

51

Step-by-step explanation

12-9 = 3

48+ 3 = 51

Total number of not broken windows is 51 windows

Number of big window = 48

Number of small window = 12

Number of broken window = 9

Total number of not broken windows

Total number of not broken windows = Number of big window + Number of small window - Number of broken window

Total number of not broken windows = 48+ 12 - 9

Total number of not broken windows = 60 - 9

Total number of not broken windows = 51 windows

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Answer:

here is the answer

 A system of equations is a collection of two or more equations with a same set of unknowns. 

To write an equation for the deer population p as a function of t, we can assume a constant growth rate and use the equation p = 80 + rt, where r is the growth rate per year.

To write an equation for the deer population p as a function of t, we can use the information given. Let's assume that the population grows at a constant rate. If t represents the number of years since 2000, then we can write the equation as:

p = 80 + rt

where r is the growth rate per year. This equation assumes that there were 80 deer in the population in 2000, and the population has been growing at a constant rate since then.

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Answer: 1.14

Step-by-step explanation:

hate how you gotta pay just to see an answer

The required sales tax on purchases of $18.95 is $1.14.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Amount = $18.95
Sales tax applies is 6% on the amount,
Now,
Sales tax is given as,
tax = amount × tax percentage / 100
tax = 18.95 × 6 / 100
tax = 1.14

Thus, the required sales tax on purchases of $18.95 is $1.14.

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Answer: 80 miles for the first ship, and 150 miles for the other.

Explanation:

First thing we should do is correspond each number with a letter:

Let x be the distance travel by ship heading east

Let y be the distance travel by ship heading south

y = x + 70 -- (1)

sqrt(x^2 + y^2) = 170 -- (2)

Subtract (1) into (2):

sqrt(x^2 + (x + 70)^2) = 170

x^2 + x^2 + 140x + 4900 = 28900

2x^2 + 140x - 24000 = 0

x ^2 + 70x - 12000 = 0

(x - 80)(x + 150) = 0

x = 80 or -150

Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)

Subtract (3) into (1), therefore, y = 150

Hope this helps! :)

Answer:

12

Step-by-step explanation:

12/3=4

4+8=12

24-12=12

Answer:

2) -2(3x - 7) = -6x + 14

3) Add 4x to both sides

4) Subtract 14 from both sides

5) Divide both sides by -2

Step-by-step explanation:

Answer:

The number of solutions of the system is zero

Step-by-step explanation:

we have

a) [tex]x+y=2[/tex]

Isolate the variable y

[tex]y=-x+2[/tex] ----> equation A

This is the equation of the line in slope intercept form

where

The slope is m=-1

The y-intercept is b=2

b) [tex]2x+2y=8[/tex]

Isolate the variable y

[tex]2y=-2x+8[/tex]

[tex]y=-x+4[/tex] ----> equation B

This is the equation of the line in slope intercept form

where

The slope is m=-1

The y-intercept is b=4

Remember that

If two lines are parallel, then their slopes are the same

In this problem the lines A and B are parallel lines with different y-intercept

so

The lines don't intersect

therefore

The system has no solution

Answer:Another way to graph a linear function is by using its slope m, and y-intercept. ... The y-intercept is the point on the graph when x =0 x = 0 . The graph crosses the y-axis at (0,1) .

Answer:

Step-by-step explanation:

When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis.

Answer:

35 by 25 inches

Step-by-step explanation:

1 inch = 18 feet

each 18 feet in the scale model is one inch, which means that there is one inch per 18 feet, so all you need to do is divide 630 by 18 and 450 by 18.

630/18 = 35

450/18 = 25

so the dimensions of the scale model are 35 by 25 inches