MATHEMATICS HIGH SCHOOL

What is the value of x in the equation −x = 6 − 3x + 8?−14
−7
14
7

Answers

Answer 1
Answer:

Answer:

  x = 7

Step-by-step explanation:

Add 3x to both sides of the equation.

  2x = 6+8

Divide both sides by 2.

  x = 7
Answer 2
Answer:

Answer:

7

Step-by-step explanation:

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Arnold has shared some interesting facts about different places around the world. Use dimensional analysis to convert the units on the facts to the units requested. Be sure to show your work and include units with your answer.1. Some roads in Poland have a speed limit of 140 km/h. How fast is this in miles per minute?




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Answers

Answer:

Answer.3.1/1.36 =180,000

5.6875 a week pounds

133 people per minute

120 kph =109.3613 ft<s

Kph<ft/sft/s-----------------1.097526

120

Step-by-step explanation:

The approximate answer is 3.479.

3. 1 / 1.36 = 180,000

4. 5.6875 pounds per week

5. 133 people per minute

6. 120kph= 109.3613 ft/skph -> ft/sft/s = kph_________ 1.097280ft/s =120_____ 1.097280ft/s = 109.3613.

7. The answer is approximately 3.479


What is the focal length of the parabola with equation shown below?

Answers

patterns:  vertical : y = a(x - h)² + k          horizontal: x = a(y - k)² + h

Look at the patterns above and remember these key points.

1) if the x is squared, the parabola is vertical. It either opens up or down. 
    if the y is squared, the parabola is horizontal. It either opens left or right.

2) if a is positive, the parabola opens up or to the right.
    if a is negative, the parabola opens down or to the left

3) the vertex is at (h,k). Be very careful. locations of h and k varies if the parabola is vertical or horizontal. its sign is also different in those positions

A point is to a number line as a ____ is to a coordinate grid

Answers

horizontal number line i think so

How do I multiply percent

Answers

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What a^2-2a-3=0 by solving equations by completing the square

Answers

a^2-2a-3=0\na^2-2a+1-4=0\n(a-1)^2=4\na-1=-2 \vee a-1=2\na=-1 \vee a=3

A nut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $3.55 per pound of cashew nuts. Over the entire day, 65 pounds of the nut mixture were sold for $189.95. If p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=65 p+3.55n=189.95 Determine the correct description and amount of pounds for almonds and cashew nuts that were sold

Answers

Answer:

p is 16 and N is 49.

Step-by-step explanation:

Answer:

p = 16

n = 49

Step-by-step explanation:

p + n = 65

p + 3.55n = 189.95

To solve this system of equations, you have to use substitution.  This means that you have to set one equation equal to one of the variables.  You then have to substitute that variable into the second equation.

Rearrange the first equation so that it equals p.

p + n = 65

p = 65 - n

Substitute the p-value into the second equation.

p + 3.55n = 189.95

(65 - n) + 3.55n = 189.95

Solve for n.

65 - n + 3.55n = 189.95

65 + 2.55n = 189.95

(65 + 2.55n) - 65 = 189.95 - 65

2.55n = 124.95

(2.55n)/2.55 = 124.95/2.55

n = 49

Use this n-value to solve for p.  You can pick whichever equation you want to solve for p and get the same answer.  I will use the first answer.

p + n = 65

p + 49 = 65

(p + 49) - 49 = 65 - 49

p = 16

There are 16 pounds of almonds and 49 pounds of cashews.
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