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3 years ago

9

On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance of the scale of the map shows

that 1 centimeter is equal to 30 kilometers?

1 answer:

fredd [130]3 years ago

5 0

60 kilometers because it is 2 cm just multiply by 2

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Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20

o-na [289]

Answer:

$\large\boxed{x=4\pm2\sqrt6}$

Step-by-step explanation:

$x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6$

6 0

2 years ago

Which equation is equivalent to

marshall27 [118]

Answer:

C) 29x=5

reason:

first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
subtract 3 from both sides to get 5=29x

3 0

2 years ago

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $600$

erastova [34]

Answer:

there is no greatest load

Step-by-step explanation:

Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:

x ≥ y +600 . . . . . my truck can carry at least 600 pounds more

x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers

Combining these two inequalities, we have ...

4/3y ≥ x ≥ y +600

1/3y ≥ 600 . . . . . . . subtract y

y ≥ 1800 . . . . . . . . multiply by 3

My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an <em>upper limit</em>. The given conditions do not place any upper limit on truck capacity.

4 0

2 years ago

Read 2 more answers

What number is 2 * 10 ^100

Studentka2010 [4]

Answer:

2.00000000e+100

Step-by-step explanation:

2

$2 \times {10}^{100} = \\ 2 \times 1.00000000e + 100= \\ 2.00000000e + 100$

8 0

2 years ago

If f(x)=5(x-3)+4 what is the value of f(2)?

algol13

Answer:

-1

Step-by-step explanation:

6 0

3 years ago