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4 years ago

A car travels 120 miles in 3 (with a constant speed). how far will it take to travel 200 miles (proportion)

1 answer:

7 0

I got 5. If you divide 210 by 3, you get 40 miles an hour. You then divide 200(miles) by 40(how fast your going) to get 5.

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Can someone help me with these 5 question I have attached?

Contact [7]

Example 2: x=10

Example 3: x=-1

Example 4: x=35

Example 5: a-b+c=9

Example 6: x=1, x=1/2

Further explanation:

Example 2:

$\sqrt{4x-4} =6$

Taking Square on both sides

$(\sqrt{4x-4})^2 =(6)^2\\4x-4=36\\4x=36+4\\4x=40\\\frac{4x}{4}=\frac{40}{4}\\x=10$

Example 3:

$9+\sqrt{4x+8}=11$

Subtracting 9 from both sides

$9-9+\sqrt{4x+8}=11-9\\\sqrt{4x+8}=2\\$

Taking Square on both sides

$(\sqrt{4x+8})^2=(2)^2\\4x+8=4\\4x=4-8\\4x=-4\\\frac{4x}{4}=-\frac{4}{4}\\x=-1$

Example 4:

$8+\sqrt{x+1}=2$

subtracting 8 from both sides

$8-8+\sqrt{x+1}=2-8\\\sqrt{x+1}=-6$

Taking Square on both sides

$(\sqrt{x+1})^2=(-6)^2\\x+1=36\\$

Subtracting 1 from both sides

$x+1-1=36-1\\x=35$

Example 5:

$\sqrt{a-b+c}=3$

Taking Square on both sides

$(\sqrt{a-b+c})^2=(3)^2\\a-b+c=9\\$

Example 6:

$2\sqrt{2x-1}=4x-2$

Taking square on both sides

$(2\sqrt{2x-1})^2=(4x-2)^2\\4(2x-1)=16x^2+4-16x\\8x-4=16x^2-16x+4\\8x=16x^2-16x+4+4\\8x=16x^2-16x+8\\16x^2-16x-8x+8=0\\16x^2-24x+8=0$

dividng whole equation by 8

$2x^2-3x+1=0\\2x^2-2x-x+1=\\2x(x-1)-1(x-1)=0\\(2x-1)(x-1)=0\\2x-1=0 => x=\frac{1}{2}\\x-1=0 => x=1$

Keywords: Radical Expressions, Examples

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3 0

3 years ago

Simplify (3 + 6i) – (8 - 5i) Select one: a, -5 + i b. 6 C. 16 d. -5 + 11i

Korolek [52]

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

8 0

3 years ago

Read 2 more answers

A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probab

sasho [114]

A. The theoretical probability for pink is 95/185 or about 51.35%

B. The theoretical probability for brown is 90/185 or about 47.82%.

C. To find the experimental probability, we will make another fraction. The number of outcomes will be the numerator and the total will be the denominator.

Pink 36/69 = 52.17%
Brown 33/69 = 47.82%

7 0

4 years ago

Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?

Leya [2.2K]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursd

Alex17521 [72]

Answer:

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

After depositing her babysitting earnings, her balance was $5+25 = $30.

After buying pizza, her balance was $30 -42 = -$12.

Assuming no overdraft charge, her balance after depositing her earnings was ...

-$12 +20 = $8

Sally's balance on Sunday was $8.

7 0

2 years ago