MATHEMATICS MIDDLE SCHOOL

To convert a distance of 12000 feet to miles which ratio could you multiply by?

Answers

Answer 1
Answer:

Answer:

2.28 miles

Step-by-step explanation:

1 foot = 0.00019miles

12000 feet = x miles

Cross multiply

x = 12000 x 0.00019

x = 2.28 miles

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What isthe minimum width recommended for spiral stairs?A) 26"B) 28"C) 30"D) 32"

What does x equal in this equation

Answers

3ax + b = c

subtract b from each side

3ax +b-b = c-b

3ax =c-b

divide each side by 3a

3ax/3a = (c-b)/3a

x = (c-b)/3a

Choice C

Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola with the given equation.y = x2 - 7x + 12
vertex= ?
axis line of symmetry equation?
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Answers

Answer:

The vertex is at ( 3.5, -0.25)

and the axis of symmetry is x = 3.5.

Step-by-step explanation:

Convert to vertex form:

y = x^2 - 7x + 12

y = (x - 3.5)^2 - 3.5^2 + 12

y = (x - 3.5)^2 - 0.25

y = (x - 3.5)^2 - 0.25.

So the vertex is at ( 3.5, -0.25)

and

the axis of symmetry is x = 3.5.

Final answer:

The vertex of the parabola y = x² - 7x + 12 is at (3.5,-0.25) and the equation of the axis of symmetry is x = 3.5.

Explanation:

The given quadratic equation is y = x² - 7x + 12. To determine the vertex and the equation of the axis of symmetry, we need to first find the x-coordinate of the vertex, which is determined by the formula -b/2a. Here in our equation, a = 1 (coefficient of x²) and b = -7 (coefficient of x), so x = -(-7)/(2*1) = 3.5.

 

The x-coordinate of the vertex is thus 3.5. Now, to get the y-coordinate of the vertex, we substitute x = 3.5 into our equation, so y = (3.5)² - 7*(3.5) + 12 = -0.25. Therefore, the vertex of the parabola is at (3.5,-0.25). The line of symmetry of a parabola always passes through the vertex, so the equation of the axis of symmetry is x = 3.5.

Learn more about Vertex and Axis of Symmetry here:

brainly.com/question/28765288

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Don saves $1 the first week, 2$ the second week, $3 the third week, and $4 the fourth week. If he continues in this way, how many weeks will it take before Don has saved at least $50?Please show me the simplest and quickest way to solve this problem. EXPLAIN YOUR STEPS THOROUGHLY!!

Answers

This forms an arithmetic sequence, where the first term = 1, common difference = 1, and number of terms = n.

The formula for the sum of an arithmetic sequence is 

S_(n) = (1)/(2)n(2a + (n - 1)d)

Where a = the first term and d = the common difference.

We want the sum to be at least $50, so
50 \leq (1)/(2)n(2a + (n - 1)d)

Substituting in a and d
50 \leq (1)/(2)n(2(1) + (n - 1)(1))

Rearranging
50 \leq (1)/(2)n(2 + (n - 1))
50 \leq (1)/(2)n(1 + n)
100 \leq n(1 + n)
100 \leq n^2 + n
0 \leq n^2 + n - 100

\text{Let } n^2 + n -100 = 0
n = (-1 \pm √(1-4(1)(-100)))/(2)
n = (-1 \pm √(401))/(2)
n \geq 0 \implies n = (-1 + √(401))/(2)
n \approx 9.51


So it will take 9.51 weeks, or 10 weeks to the nearest week.

Please help will mark brainly

Answers

Correct option d)0.61

Step-by-step explanation:

Here we have a number line from 0 to 1 . With every point at a equal distance of 0.10 from each other . Let's first mark the decimal 0.74 in number line . Now, Lets check one by one that which decimal is less than 0.74 . Remember , decimal will be less than 0.74 if point lies to the left side of 0.74.

a)0.95:

Decimal 0.95 lies to right side of 0.74 , So this decimal is not smaller than 0.74

b)0.88:

Decimal 0.88 lies to right side of 0.74 , So this decimal is not smaller than 0.74

c)0.79:

Decimal 0.79 lies to right side of 0.74 , So this decimal is not smaller than 0.74

d)0.61:

Decimal 0.61 lies to left side of 0.74 , So this decimal is smaller than 0.74

Find each sum.Simplify if possible

Answers

Number 2 is 7 9/8 but its an improper fraction so you'll have to reduce that since im having trouble doing that.

Number 5 is 9 11/12

Hope this helps!
2) 6 3/4 is = to 6 6/8 1 3/8 + 6 6/8= 8 1/8 The answer is 8 1/3 5) 3 1/4 ×3=3 3/12 6 2/3 ×4=6 8/12 3 3/12+ 6 8/12= 9 11/12 The answer is 9 11/12

The theoretical probability of rolling a number greater than 2 on a standard number cube is 5/6. True or False

Answers

Answer:

false- its 4/6

Step-by-step explanation:
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