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Maurinko [17]
2 years ago
16

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. x + y = 29, 5x + 2y = 100 x + y = 100, 5x + 2y = 29 5x + y = 29, 2y + x = 100 2x + y = 100, 5y + x = 29
Mathematics
2 answers:
MakcuM [25]2 years ago
8 0

its the first answer x + y = 29, 5x + 2y = 100

bija089 [108]2 years ago
6 0

Answer:

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

u lied about 100 points

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Louise wants to factorize completely the given polynomial 4x^{3}+12x^{2}+5x+15

Grouping first, second terms together and third, fourth terms together

= 4x^{3}+12x^{2}+5x+15

Taking 4x^{2} common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

==4x^{2}(x+3)+5(x+3)

Taking (x+3) common from the given expression,

==(4x^{2}+5)(x+3) is the completely factored form.

5 0
2 years ago
The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders
Arte-miy333 [17]

Answer:    \frac{1}{16}


Step-by-step explanation:

Given: The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released.

The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released

=\frac{35}{140}\times\frac{35}{140}=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}

Hence, The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released is \frac{1}{16}.

5 0
2 years ago
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A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen
Sindrei [870]

Answer:

A - The proportion of students that like trance music but not dubstep is 10%

B - The proportion of students that like either dubstep or trance is 40%

C - The proportion of students that like neither trance music nor dubstep is 60%

D - The proportion of students that didn’t select any of the music options available on the survey was 40%

E - The proportion of students that preferred either dubstep or trance is calculated by: P(D) + P(T) - P(D and T)

F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is 60%

Step-by-step explanation:

P(D)=the students preferred dubstep=30%

P(T)=the students selected trance music=25%

P(H)=the students selected house music=20%

P(D and T)=the students liked both dubstep and trance=15%

<em><u>A - The proportion of students that like trance music but not dubstep is:</u></em>

P(T) - P(D and T)=25%-15%=10%

<u><em>B - The proportion of students that like either dubstep or trance is:</em></u>

P(D) + P(T) - P(D and T) =30%+25%-15% = 40%

<u><em>C - The proportion of students that like neither trance music nor dubstep is</em></u>

100% - (P(D) + P(T) - P(D and T) ) =60%

<u><em>D - The proportion of students that didn’t select any of the music options available on the survey was:</em></u>

100% - (P(H)+P(D) + P(T) - P(D and T) ) =40%

<u><em>F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:</em></u>

\frac{P(D and T)}{P(T)} =\frac{0.15}{0.25} =0.60

<u><em /></u>

6 0
2 years ago
Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that
alexdok [17]

Answer:

Step-by-step explanation:

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Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

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A(1) = 5-1

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Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

<u>For B(x)=5x^3-4x^2-x</u>

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Since C(1) = 0, hence x-1 is divisible by<u> the </u>

<u />

<u>F</u>or the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

8 0
2 years ago
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