Mr. martin is giving a math test next period. the test, which is worth 100 points, has 29 problems. each problem is worth either 5 points or 2 points. write a system of equations that can be used to find how many problems of each point value are on the test. let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
a. x + y = 29, 5x + 2y = 100
b. x + y = 100, 5x + 2y = 29
c. 5x + y = 29, 2y + x = 100
d. 2x + y = 100, 5y + x = 29

A is correct.

Step-by-step explanation:

From the second sentence , we can deduce that the total number of problems is 29.

Now, x represents the number of problems that award 5 marks, while y represents the number of problems that award 2 marks.

Hence x + y = 29.

There are a total of 100 marks. This mean each x has a mark of 5, so total x marks equal 5x. Also, each y has a mark of 2. total y marks equal 2y. Since total marks equal 100. This mean 5x + 2y = 100 which gives our second equation.

This shows A is correct.

the correct answer is semicircle

step-by-step explanation:

the answer is semicircle because the shorter arc joining two points on the circumference of a circle is known as the minor arc, the larger arc is called the major arc, and a semicircle is a half circle, formed by cutting a whole circle along a diameter line.

hope i .

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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