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Greeley [361]
3 years ago
12

Mr. Martin’s math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Let x be

the number of questions worth 5 points and let y be the number of questions worth 2 points. x + y = 29, 5x + 2y = 100 How many problems of each point value are on the test?
Mathematics
2 answers:
klio [65]3 years ago
6 0
(x + y = 29)
(y = 29 - x)
(5x + 2(29 - x) = 100)
(5x + 58 - 2x = 100)
(3x = 42)
(x = 14)
(y = 15)
(14 5-point questions and 15 2-point questions)
zimovet [89]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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Sphinxa [80]

Answer:

  • 71° and 71°.

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Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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  • So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

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We know that,

  • The sum of all angles of a triangle is 180°

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So, According to the question :

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{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

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{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

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{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

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{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

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{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

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{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

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Therefore,

  • The measure of the two other angles of the isosceles triangle are 71° and 71°.
3 0
2 years ago
Find the x-intercepts of the function graphed below, and the average rate of change over the interval (-1,4).
baherus [9]

Answer:

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Average rate of change: 1.8

Step-by-step explanation:

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<u>Average rate of change over the interval (-1, 4) is:</u>

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ratelena [41]

Answer:

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4 years ago
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Step-by-step explanation:

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4 0
3 years ago
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