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Ira Lisetskai [31]
3 years ago
7

Tony drove 605 miles in 11 hours At the same rate how many miles would he drive in 7 hours

Mathematics
2 answers:
Vitek1552 [10]3 years ago
7 0

Answer:

He drive for 385 miles

Step-by-step explanation:

11hrs = 605 miles

1hr = 55 miles

7hr = 55 × 7

= 385 miles

lana66690 [7]3 years ago
4 0

Answer:

385 miles

Step-by-step explanation:

tony is going 55 mph which means he will travel 385 miles

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Sally can paint a room in 5 hours while it takes Steve 3 hours. How long would it take them to paint if they worked together
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It would be 8 hours because you are adding 5 and 3 to get a total
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At a restaurant you only have $30 to spend on dinner. In addition to the cost of the meal you much pay 8% sales tax. What is the
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B

Step-by-step explanation:

BC i tok the test

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Need help to do this step by step please <br> 3x2 - 2x=-1
sdas [7]

Answer:

Solving the expression 3x^2-2x=-1 we get: \mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}

Step-by-step explanation:

We need to solve the expression: 3x^2-2x=-1

This is a quadratic expression and it can be solved using quadratic formula

Solving:

3x^2-2x=-1\\

we can write it as:

3x^2-2x+1=0

The quadratic formula is: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

where a = 3, b = -2 and c= 1

Putting values and solving:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2}   \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}

So, solving the expression 3x^2-2x=-1 we get: \mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}

8 0
3 years ago
Please help; I don't understand how to solve these inequality problems.
Darina [25.2K]

Answer:

1. -6 ≤ x < -1, conjunction

2. x > 10   or   x ≤ 6, disjunction

3. 7 ≤ x ≤ 12, conjunction

4. x ≥ -3   or   x < -9, disjunction

Step-by-step explanation:

These inequalities are called "compound inequalities." Each compound inequality is made up of two simple inequalities.

A compound inequality of the type 5 < x < 8 means x > 5 and x < 8. Since the word between the simple inequalities is "and", it is a conjunction.

A compound inequality of the type "x < 3 or x > 12" uses the word "or" between the simple inequalities. It is called a disjunction.

1.

-4 ≤ x + 2 < 1

Conjunction

For this type of inequality, do what you need to do to get x alone in the middle section. Do the same to all three "sides" of the inequality.

The middle section has x + 2. We want x alone,s o w must subtract 2. We subtract 2 from all three sides.

-4 - 2 ≤ x + 2 - 2 < 1 - 2

-6 ≤ x < -1

2. 5x - 4 > 46 or 4x ≤ 3x + 6

Disjunction

In this type of compound inequality, solve each inequality by itself, and always keep the word "or" between the inequalities.

5x - 4 > 46 or 4x ≤ 3x + 6

5x - 4 + 4 > 46 + 4   or   4x - 3x ≤ 3x - 3x + 6

5x > 50   or   x ≤ 6

x > 10   or   x ≤ 6

3. Similar to problem 1.

Conjunction

10 ≤ 2x - 4 ≤ 20

Add 4 to all sections.

14 ≤ 2x ≤ 24

Divide all sections by 2.

7 ≤ x ≤ 12

4.

6 - 2x ≤ 12 or 7 + 2x < -11

Disjunction

-2x ≤ 6   or   2x < -18

x ≥ -3   or   x < -9

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Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5
abruzzese [7]

Answer:

\theta = 216

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

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The question implies that

\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}

Multiply both sides by 5

5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5

5 * \frac{Area_{sector}}{Area_{circle}} = 3

Multiply both sides by Area{circle}

5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}

5 * {Area_{sector} = 3 * Area_{circle}

Substitute the areas of sector and circle with their respective formulas;

Area_{sector} =\frac{\theta}{360} * \pi r^2

Area_{circle} = \pi r^2

So, we have

5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2

Divide both sides by \pi r^2

5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}

5 * \frac{\theta}{360} = 3

Multiply both sides by 360

360 * 5 * \frac{\theta}{360} = 3 * 360

5 * \theta = 3 * 360

Divide both sides by 5

\frac{5 * \theta}{5} = \frac{3 * 360}{5}

\theta = \frac{3 * 360}{5}

\theta = \frac{1080}{5}

\theta = 216

Hence, the central angle is 216 degrees

3 0
2 years ago
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