Using a copy machine, a drawing of a
tower that was 24 inches tall was reduced to a
tower that measured 8 inches high. What was
the scale factor used for the reduction?

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Answer:

20%

Step-by-step explanation:

Divide 15 by 75 to find the percentage.

Answer:

131.25 miles.

Step-by-step explanation:

if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.

The actual distance between two cities is 131.25 miles.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The scale of a map,

1 inch = 25 miles,

Also, the distance between two cities on the map is 5.25 inches.

To find the actual distance in miles.

Use ratio method,

1 inches = 25 miles,

5.25 inches = 25 x 5.25 miles

                    = 131.25 miles

The actual distance between cities is 131.25 miles.

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Answer:

C its C

Step-by-step explanation:

Answer:

The answer is the fourth one

Answer:

The interval of the domain over which the function m is negative

will be: (6, ∞)

Step-by-step explanation:

We have to determine the interval of the domain over which the function m is negative.

The x-intercept of the graph is:

at y = 0, x = 6

(0, 6) is the x-intercept.

From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.

Thus, the interval of the domain over which the function m is negative will be: (6, ∞)

Answer: (6,00)

Step-by-step explanation:

Answer:

68.75

Step-by-step explanation:

to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35

so the total for just tax is 1.35 so you add that to how much the groceries were originally

67.40+1.35=68.75

Answer:

a rate

Step-by-step explanation:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

Answer:

0.20, 0.24, 0.30, 0.26

Step-by-step explanation:

Hope this helps <3

Answer:

I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.

Step-by-step explanation:

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

Answer:

-20

Step-by-step explanation:

The simplified form of the given complex number (4i)(5i) is -20.

To simplify the expression (4i)(5i), we can use the properties of complex numbers.

The imaginary unit i is defined as the square root of -1. So, i² = -1.

Now let's simplify the given expression:

(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.

Since i² equals -1, we can substitute -1 for i²:

20i² = 20(-1)

Multiplying -1 by 20, we get:

20(-1) = -20

Therefore, the simplified form of (4i)(5i) is -20.

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Answer:

he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A reflection does not change the shape of a figure.

For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)

Answer:

-44

Step-by-step explanation:

Answer:

The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]

[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]

Now, we've solved for y. So, we can substitute this into either equation and solve for x.

[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]

Now, we substitute our value for x into one of the original equations and solve for y.

[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]

Therefore, the solution to our system of equations is:

Answer:

The second, third, and fifth one.

Step-by-step explanation:

Home this helps

The value of t will be  t ≥ 6 or t ∈ [ 6 , α ) .

Given,

-2t + 5 ≥ -7

Now,

Solving the inequality,

-2t + 5 ≥ -7

Take 5 from LHS of inequality to RHS of inequality .

-2t ≥ -12

The negative signs from both sides are eliminated .

2t ≥ 12

t≥ 12/2

t≥ 6 .

Thus the value of inequality will be t ≥ 6 .

Thus option C will be correct .

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Answer:

25.12 OR 16

Step-by-step explanation:

We can see that the diameter of the circle is 8 inches. Let's put this number into the formula. The circumference of a circle that has a diameter of 8 inches is 25.12 inches

2 times 8 = 16

Answer: are there choices?

Step-by-step explanation:

Step-by-step explanation:

sin 56 = 11/x

☓ = 11/ 5 Sin 56

= 13.3

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:

Answer:

In 14,429 the value of 2 is 20 because it's in the tens place. 10 * 20 = 200. 200 is your answer.