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san4es73 [151]
3 years ago
10

Estimate each percent. 26% of 125

Mathematics
2 answers:
kari74 [83]3 years ago
3 0
26\% \ of \ 125= \frac{26}{100}*125= \\\\= \frac{26}{4}*5= \\\\ =\frac{13}{2}*5= \\\\ =\boxed{\frac{65}{2}\to32.5}
blsea [12.9K]3 years ago
3 0
1\%=0.01\ \ \ \Rightarrow\ \ \ 26\%=26\cdot1\%=26\cdot0.01=0.26\\\\26\%\ of\ 125=0.26\cdot125=32.5
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A rectangle has a legnth of 12 inches less than 6 times its width. If the area of the rectangle is 3744 square inches, find the
elena-14-01-66 [18.8K]

Length = 6x - 12

Width = x

Area of a rectangle:

A = length x width

3744 = (x)(6x - 12)

3744 = 6x^2 - 12x

6x^2 - 12x - 3744 = 0

Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.

Width = 26 inches

Length = 6(26) - 12 = 144 inches

Hope this helps!! :)

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3 years ago
This is what I am supposed to do, I’m confused on what to do on 3,4, and 5. PLEASE HELP ASAP!!!!!! 30 POINTS!!!!!
max2010maxim [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)

m = \frac{6-0}{-3-0} = \frac{6}{-3} = - 2

Since the line passes through the origin (0, 0) then y- intercept is 0

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let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)

m = \frac{3-0}{0-6} = \frac{3}{-6} = - \frac{1}{2}

note the line crosses the y- axis at (0, 3) ⇒ c = 3

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let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)

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7 0
3 years ago
Use the circle to answer the question.
musickatia [10]

Answer:

where is the picture ?

Step-by-step explanation:

8 0
3 years ago
(50 Points Please help)
Elina [12.6K]

Answer:

A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters

B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters

C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers

D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.  

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

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3 years ago
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