(08.03)Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Answer:

-25 feet

Step-by-step explanation:

We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.

To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.

-1500/60 = -25

60/60 = 1

So the rate of change would be -25 feet

Answer:

144

Step-by-step explanation:

Answer:

-3n-4n = 25 + 17

-7n = 42

n= -6

the main thing for here is to combine the like terms and to solve for n which is done by putting all the numbers with variables on one side and the non variables on the other and divide each side by the number that has the variable. Remember that when you bring numbers on the other side, you change its sign, for example if you have 5 on one side and you bring to the other side of the equal sign it becomes -5.

-15 + 15d -7.5d =7.5

15d - 7.5d = 7.5 + 15

7.5d = 22.5

d = 3

for the part where theres 7.5(2d-1)

you multiply each number inside the bracket by 7.5, its called distributivity of multiplication

hope that answers your question

hope you understand what i wrote lol

good luck:)

Answer:

Question 1

Original Equation:

-3n-4n-17=25

Add 17 to both sides (cancels out the -17)

-3n-4n=42

Combine -3n and -4n.

-7n=42

Divide by -7

n = -6

Question 2

Original Equation:

-15+7.5(2d-1)=7.5

Distribute:

-15+15d-7.5=7.5

Add 7.5 to both sides:

-15+15d=15

Add 15 to both sides:

15d=30

Divide by 15:

d = 2

Let me know if this helps!

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

To learn more about the area on the map

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Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

Answer:

n=(1/6) or n=-5/2

Step-by-step explanation:

|6n+7|=8

6n+7=8 or 6n+7=-8

6n=1 or 6n=-15

n=(1/6) or n=-5/2

Answer:

C.4

4x-3=2x+5

x=4

Step-by-step explanation:

The number which is "three fewer than four times a number is five more than twice the number" is 4.

The equation having the highest power of its variables as 1 is known as a linear equation.

Let the required number be x.

The given condition is - "Three fewer than four times a number is five more than twice the number."

Based on the given condition we will form an equation and solve it for x to find the required number.

The resulting linear equation is,

4x-3 = 2x+5

4x-2x = 5+3

2x = 8

x = 4

Hence, the required number is 4.

Learn more about linear equations here - https://brainly.com/question/1682776

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Answer:

Step-by-step explanation:

4 parts: 1/3 + 1/2 + 30min + 60min

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes

The total time did the program take to write is  2 hours and 20 minutes.

It is required to find total time.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

several people working on each of 4 parts.

First part = 1/3 of the total time,

The second part = 1/2 of the remaining time,

The third part =30 minutes,

Fourth part= 60 minutes,

So, the total time in hour.

4 parts:

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

Total time=1/3 + 1/2 + 30min + 60min

=20 + 30 + 30 + 60(1h)

= 140 minutes

= 2 hours and 20 minutes.

So, the total time did the program take to write is  2 hours and 20 minutes.

Learn more about arithmetic here:

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Answer:

please send the questions again

Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

4(x-8) = 4x-4*8

= 4x - 32

Answer:

4(x-8) = 4x-4*8

= 4x - 32

Step-by-step explanation:

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Answer:

nah it's illegal in cali to eat raw oranges in the bathtub, but im not sure if that's a real law

so i guess if ur on the toilet or smth you can eat it...but like why would you? like in the bathroom?

Answer:

No, it's not.

Step-by-step explanation:

It's not even a real law. People used to think that the citric acid coming from the orange would mix with bath oils and create an explosion. As it turns out, citric acid, obviously, does not cause any explosions when mixed with bath oils. It's just gossip.

Answer:

-5 = m

Step-by-step explanation:

17 - 12m = -11(m-2)

Distribute

17 -12m = -11m +22

Add 12m to each side

17 -12m+12m = -11m+22+12m

17 = m+22

Subtract 22 from each side

17 -22 = m+22-22

-5 = m

[tex]\underline{\sf \: 17 - 12m = -11(m-2)}[/tex]

Use the distributive property to multiply -11 by m-2.

17 - 12m = - 11m + 22

Add 11m to both sides.

17 - 12m + 11m = 22

Combine -12m and 11m to get -m.

17 - m = 22

Subtract 17 from both sides.

- m = 22 - 17

Subtract 17 from 22 to get 5.

- m = 5

Multiply both sides by -1.

[tex]\large\boxed{\underline{\bf \: m = -5}}[/tex]

Hope it helps.

RainbowSalt2222

Please comment this in english.

Answer: A

Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A

Hope this helps

Answer:

35, 36, 37, 38, 39, 41, 42, 43 and 44

Step-by-step explanation:

Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.

Answer:

1 58/100 or 1 29/50 (simplified)

Step-by-step explanation:

you can turn them into decimals

5/10 = 0.5

8/100 = 0.08

0.5 + 0.08 = 0.58

0.58 = 58/100 = 29/50

Answer:

g(1)=-72; g(n)=g(n-1)*(1/6)

Step-by-step explanation:

g(1)= -72*(1/6)^(1-1)=-72*(1/6)^0=-72*1=-72

g(2)=-72*(1/6)^(2-1)=-72*(1/6)^1=-72*(1/6)=-12

g(2)=g(1)*(1/6)

g(n)=g(n-1)*(1/6)