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3 years ago

There are 150 students at the zoo. 90 of the students visited the gorilla

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Divide the number that visited the gorilla by the total students at the zoo then multiply by 100

90/150 = 0.6

0.6 x 109 = 60%

The answer is 60%

Alinara [238K]3 years ago

4 0

$\frac{is}{of} = \frac{x}{100}$

$\frac{150}{90} = \frac{x}{100}$

150 × 100 = 15,000

90x = 15,000

90 ÷ 90 = 1

15,000 ÷ 90 = 166.6%

I don’t know of the problem wants you to round but the percent would be either 166.6% or 167% (if rounded).

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Use properties of exponents to complete the equivalent expression. (Take a look at the image).

kondaur [170]

The exponent would b 15

U just gotta solve it than u get 3375 than look for the square root of that and it’s 15over15

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2 years ago

6.48> 6.4_1> 6.470 whats the unknown digit to make the statement true

Triss [41]

The unknown digit is 7 because 6.471 is greater than 6.470 and less than 6.48.

8 0

3 years ago

How can you determine whether a given number makes an equation true?

EastWind [94]

Answer:

By plotting in the number in the equation (aka where all the x’s are variables are) and seeing if it works.

Step-by-step explanation:

For example, let’s use the problem:

3x + 4 = 16

if the given number is 4, we fill it in for x-

3 (4) + 4= 16

solve to see if true:

12 + 4 = 16

16 = 16

hence, the given number 4 makes the equation true!

hopes this helps, have a great day :)

3 0

2 years ago

Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)

Olegator [25]

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

$A=\left(\dfrac{b_1+b_2}{2}\right)h$

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

$b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13$

Putting it altogether:

$A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44$

So the area of our trapezoid is 44.

4 0

3 years ago

Help please, finals week is upon me

kenny6666 [7]

The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.

Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.

The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.

The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)

If point D is the circumcenter, then we know this

AD = BD = CD

basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.

<h3>Answer: (2.5, -3.5)</h3>

note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2

6 0

3 years ago