Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.

Step-by-step explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:

1, 2, 4, 8, and 16

We notice that 8 can be factored out of 16 and becomes:

16 / 8 = 2

If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:

3 x 3 = 9

5 x 3 = 15

So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]

Let's find it's discriminant.

We know –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]

As we got –

Answer:

35

Step-by-step explanation:

5x (5+3)=40-5=35

[tex]\huge \sf༆ Answer ༄[/tex]

Here's the solution ~

Answer:

multiple choice is worth 2

short response is worth 4

Step-by-step explanation:

23x + 10y = 86

28x + 5y = 76

solve by elimination

multiply the top by -1 and the bottom by 2

-23x + -10y = -86

56x + 10y = 152

add them

33x = 66

x = 2

with x = 2 plug x into one of the equations

23x + 10y = 86

23(2) + 10y = 86

46 + 10y = 86

10y = 40

y = 4

x = 2 and y = 4 so

multiple choice is worth 2

short response is worth 4

Answer:

D) Carol scored the highest in math.

Step-by-step explanation:

Look at the chart and check each question.

A) history is her favorite subject - Wrong (This is about Marks Obtained, Not Favorite Subjects!)

B) carol scored more in physics than English - Wrong (In Physics, the score is 55 while in English, it is 65!)

C) Carol got the least marks in history - Wrong (History is at 48 while Biology is at 35!)

D) Carol scored the highest in math - Correct (The highest score is 80 which is Math!)

Answer:

[tex]-a^2+ab[/tex]

Step-by-step explanation:

So the sentence can be written like this:

[tex]((a^2-b^2)+(a^2+ab+3b^2))-((a^2-2ab+b^2)+(2a^2+2ab+b^2))[/tex]

Now you can combine like terms in the first part of the equation and the second part:

[tex]((a^2+a^2)+ab+(-b^2+3b^2))-((a^2+2a^2)+(-2ab+2ab)+(b^2+b^2))[/tex]

Which leaves you with:

[tex](2a^2+ab+2b^2)-(3a^2+2b^2)[/tex]

Now distribute the negative to the second part of the equation:

[tex]2a^2 + ab + 2b^2-3a^2-2b^2[/tex]

Combine like terms again:

[tex](2a^2-3a^2)+ab+(2b^2-2b^2)[/tex]

Which becomes:

[tex]-a^2+ab[/tex]

Answer:

- a² + ab

Step-by-step explanation:

summing the first 2 expressions

a² - 2ab + b² + 2a² + 2ab + b² ← collect like terms

= 3a² + 2b² → (1)

summing the next 2 expressions

a² - b² + a² + ab + 3b² ← collect like terms

= 2a² + ab + 2b² → (2)

Subtracting (1) from (2)

2a² + ab + 2b² - (3a² + 2b²) ← distribute parenthesis by - 1

= 2a² + ab + 2b² - 3a² - 2b² ← collect like terms

= - a² + ab

The seat in the middle of the one-way route is 34

The seats are given as:

[tex]First= 0[/tex] --- the first seat behind the seat number 95

[tex]Last= 66[/tex] --- my seat

The seat number half-way would be:

[tex]Half = \frac{Last - First}{2} + 1[/tex]

This gives

[tex]Half = \frac{66- 0}{2} + 1[/tex]

Subtract 0 from 66

[tex]Half = \frac{66}{2} + 1[/tex]

Divide 66 by 2

[tex]Half = 33 + 1[/tex]

Add 33 and 1

[tex]Half = 34[/tex]

Hence, the seat in the middle of the one-way route is 34

Read more about median at:

https://brainly.com/question/8892632

Answer:

-2

Step-by-step explanation:

The interval [-6. -4] refers to x values.

At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis

At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.

The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)

= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2

Answer:

40

Step-by-step explanation:

9x8 = 72

5x8 = 40

72:40 = 9:5

Hope that helps

Answer:

Answer: 148555559.46

Step-by-step explanation:

42,444,445.56 x 3 =127333336.68

42,444,445.56 divided by two is 21222222.78

127333336.68 + 21222222.78 = 148555559.46

Answer:

Simple Interest = $542

Compound Interest = $542.88

Step-by-step explanation:

Answer:

x = 90 degrees

y = 50 degrees

Step-by-step explanation:

The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.

Answer:

[tex] - (6 - 4x) = - 6 + 4x[/tex]

Answer:

[tex]-6+4x[/tex]

Step-by-step explanation:

[tex]-(6-4x)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(6\right)-\left(-4x\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=-6+4x[/tex]

and have a happy new year!

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 32% of 150 is 48.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

1.75 x 10^3

Step-by-step explanation:

This is quite a simple question really, we just have to remember one thing, the exponent laws. When both exponents have the same base and are getting divided by each other, you subtract the exponents.

So in this case we have 10^8 on top divided by the 10^5 on the bottom, so now you just subtract the 5 from 8 and you get 3 as your final exponent. So your power would just be 10^3.

The final step is just dividing 7 by 4 which is 1.75

Combine the power and 1.75 together to get the correct notation

1.75 x 10^3

Answer:

62

Because u do 180-90-28=62

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

Answer:

The total is 3 hours

      Hope this help! good luck :)

Answer:

$3005.98

Step-by-step explanation:

did the math with calculator

Answer:

d + 8/hr

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{-5-3}{6-(-4)}[/tex]

m=-8/10

m=-4/5

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Answer:

n = 225

Step-by-step explanation:

Multiply 15 by 15

According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?

A 4 lakhs

B 43 lakhs

C 4 crores

D 43 crores

→ C 4 crores

Explaination :

2 - Unit place

3-tens place

9- hundred place

6 - thousand place

0- ten thousand place

4 - lakh place

3 - ten lakh place

4 - crore place

hence , closest approximation of this number is 4 crores.

Approximation of number is 4 crores.

Anything that is similar to something else but not exactly equal to it is an approximation. By rounding, a number can be approximated. By rounding the values contained within a calculation prior to performing the operations, it can be approximated.

Given census of a country is 43406932

Adjusting numbers to the closest 10, 100, 1,000

To rough to the closest ten, check out at the digit during the tens section.

Look at the digit in the hundreds column to approximate to the nearest hundred. Take a look at the digit in the thousands column to determine the nearest thousand.

so the number to the closest is crore

Hence the closest approximation of this number is 4 crores.

Learn more about approximation;

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Answer:

a = 54, b = 54, c = 36

Step-by-step explanation:

a + 90 + 36 = 180

a = 180 - 90 - 36

a = 54

b is the same as A

c + b (which is 54) + 90 = 180

c + 54 + 90 = 180

c = 36