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Verdich [7]
3 years ago
6

A student can solve 20 problems in 30 minutes. How long would it take him to solve 50 problems? (Assume that the student works a

t the same pace).
Mathematics
2 answers:
cupoosta [38]3 years ago
8 0

Student takes 75 minutes to solve 50 problems.

<u>SOLUTION: </u>

Given that, a student can solve 20 problems in 30 minutes.  

We have to find the time to solve 50 problems. (Assume that the student works at the same pace).

Now, we know that,  

\Rightarrow 20 \text { problems } \rightarrow 30 \text { minutes } \\\\ \text{Then, } 50 \text { problems } \rightarrow \text { (let it be) n minutes. }

So, by cross multiplication method,

\Rightarrow n \times 20=30 \times 50 \rightarrow 2 \times n=30 \times 5 \rightarrow 2 n=150 \rightarrow n=75

Cross multiplications steps: (To find Single Variable)

Step 1: Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.

Step 2: Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

Step 3: Set the two products equal to each other.

Step 4: Solve for the variable.

Zigmanuir [339]3 years ago
3 0

Answer:

Step-by-step explanation:

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Circumference = 18.84 yards
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8 0
2 years ago
Find the area of the regular octagon.
user100 [1]

Answer:

236.59mm²

Step-by-step explanation:

The formula for the area of a regular polygon is 1/2ap, with <em>a</em> being the apothem and <em>p</em> being the perimeter.

To start, get the perimeter by multiplying 7 (one side of the polygon) by 8 to get 56.

Next, we have to find the apothem (the perpendicular segment from the center of the polygon to one of the sides).

First, create a right triangle on an of the polygon's sides, where the hypotenuse is equal to the radius of the polygon, one of the legs is the apothem, and the other leg is equivalent to half of the side.

Next, using the polygon angle formula (n-2(360)/n), we can get the base angle of the triangle, 1/2(135), or 67.5.

We can use this angle and some trigonometry to find the the apothem.

First, use SOHCAHTOA to figure out if you will use sine, cosine, or tangent (in this case, tangent).

Next, set up an equation using the tangent of 67.5 to find the apothem - tan67.5 = a/3.

And set the equation equal to <em>a</em> (a = 3.5tan67.5).

Now that you have the apothem, plug it into the area formula to get A = 1/2(56)(3.5tan67.5) and solve!

(28)(3.5tan67.5)

(28)(8.4497)

236.59mm²

4 0
2 years ago
What is 5/8 as a percentage
dedylja [7]

Answer:

62.5%

Step-by-step explanation:

ask me if you have any questions

4 0
2 years ago
7.
never [62]

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

3 0
2 years ago
A circle is divided into 18 equal parts how many degrees is the angel measure for part?
ira [324]
Well knowing that it is divided into 18 EQUAL parts, and the fact that the total number of degrees in a circle is 360.

To find out the number of degrees in each part take 360 and divide that value by 18.

That is the angle measure for each particular part.
8 0
3 years ago
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