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mrs_skeptik [129]
2 years ago
9

mary is preparing for her college entrance exams. in a practice test, she answered 12 problems in 30 minutes. at this rate, how

many questions can she expect to answer in 150 minutes?? (proportional reasoning)....
Mathematics
2 answers:
Rasek [7]2 years ago
7 0

Answer:

Step-by-step explanation:

60 problems

mariarad [96]2 years ago
3 0
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes 

Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.

Hope this helps xx
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265/5 = 53/1

53 miles per hour. 

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The radius of circle G is 4 cm. What is the tangent
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The tangent of a given circle is perpendicular to the radius a the point called point if tangency. The radius of the circle is perpendicular to the tangent at the point of tangency. This property is especially useful in cases where the radius that connects to the point of tangency forms a part of right angle because the pythagorean theorem and trigonometry apply to right angles.
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Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b? The equation ax =
butalik [34]

Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b

Step-by-step explanation:

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2 years ago
Write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3
Vitek1552 [10]
<h2>Answer with explanation:</h2>

To write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3

Let n be the number, then -3 < n ≤3 .

On number line we mark open circle at -3 (since it has a strictly less than sign) and a closed circle at 3  (since it has a less than and equal to sign) .

To the required inequality that shows all the numbers greater than (−3) but less than or equal to 3 : -3 < n ≤3 and the number line is represented below.

8 0
2 years ago
(PLEASE ANSWER!! I REALLY NEED HELP)
DaniilM [7]

Answer:

A) 6.32 in.

B) 71.56°

C) 36.88°


Step-by-step explanation:

To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.

A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:

l=\sqrt{(AB)^{2}+(BC)^{2}}=\sqrt{(2in)^{2}+(6in)^{2}}=6.32in

B) The angle asked is the angle ∠A, then, you have:

tan^{-1}(A)=\frac{opposite}{adjacent}\tan^{-1}(A)=\frac{6}{2}

∠A=71.56°

C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.

By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:

∠C=180-90-71.56=18.44

Then:

\alpha=2*18.44

\alpha=36.88°

7 0
2 years ago
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