2. Given the linear equation 2x + 3y = 9.
a.
Write the equation in the form y = mx + b.

Answer:

31 2-point baskets were made

Step-by-step explanation:

We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:

# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62

To find the number of 2-point baskets that were made, divide the points by the worth of the basket:

# of 2-point baskets made = 62/2 = 31

9514 1404 393

Answer:

  31

Step-by-step explanation:

6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.

  62 = 2b

  62/2 = b = 31

31 2-point baskets were made.

Answer:

Convert to a decimal by dividing the numerator by the denominator.

0.17

dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

0.16583 (keep adding 3 at the end)

0.17 dollars per pound

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

Answer:

The answer is -11x and -21

Answer:

[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]

Good job!

Step-by-step explanation:

[tex] \cos (u + v) = \cos u \cos v - \sin u \sin v [/tex]

[tex] \sin u = -\dfrac{3}{5} [/tex]; u is in QIII.

That makes [tex] \cos u = -\dfrac{4}{5} [/tex]

[tex] \sin v = -\dfrac{12}{13} [/tex]; v is in QIV.

That makes [tex] \cos v = \dfrac{5}{13} [/tex]

[tex] \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) [/tex]

[tex] \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} [/tex]

[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]

You are correct.

Answer:

Step-by-step explanation:

-0.8615

Step-by-step explanation:

the true statemnts underneath and are in bold letters

-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.

This property is true

-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.

This property is true

- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.

if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b

we have A x B to be{(1,3)(2,3)}

therefore this is also true

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

Answer:

0.64761904761

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

18x5=90+123=213.

Answer:

x=4

Step-by-step explanation:

Step 1: Add 3x to both sides.

−5x+9+3x=−3x+1+3x

−2x+9=1

Step 2: Subtract 9 from both sides.

−2x+9−9=1−9

−2x=−8

Step 3: Divide both sides by -2.

−2x/−2=−8/−2

Answer:

The answer is B) the span of the roof is 4

Step-by-step explanation:

The span is 30 meters if the pitched roof is built with a 1:3 ratio of rise to span.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

A pitched roof is built with a 1:3 ratio of rise to span

rise/span = 1/3

rise = 10 meters

10/span = 1/3

span = 3×10 = 30 meters

Thus, the span is 30 meters if the pitched roof is built with a 1:3 ratio of rise to span.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Answer B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

He needs to work 8.25 hours more.

Step-by-step explanation:

2.25 + 3.50 (3 1/2) - 5.75

5.75 + 6 = 11.75

20 - 11.75 = 8.25

Answer:

8.25 more hours.

Step-by-step explanation:

2.25+3 1/2+6=11.75

Then:

20-11.75=8.25

Answer: on angle 1 x=12 and on angle 3 x=24

Step-by-step explanation: i think

Answer:

58 mph

Step-by-step explanation:

145/2.5=1450/25=58

Answer:

36 D.

Step-by-step explanation:

+ - = -

+ + = +

- - = +

35 - 13 + 8 + 6

22 + 8 + 6

30 + 6

36

Answer:

782/34 = 23 beads for each bracelet

Step-by-step explanation:

23 beads.

782 devided by 34 is 23. ask google if u think im wrong

Answer:

9 hours

Step-by-step explanation:

126 divided by 14 = 9

You can check your answer by 9 times 14 which would give you 126.

Answer:

ASA

Step-by-step explanation:

Took the test.

Answer:

9

Step-by-step explanation:

2x3=6

3x3=9

Answer: RTGVTFGVTTGSGT

Step-by-step explanation:

Answer:

your answer would be 160

Simplify all the given.

√81 = 9

√72 ≈ 8.5

9.2 = 9.2

8.6 = 8.6

From here, you can just sort it out.

From least to greatest:

1) √72

2) 8.6

3) √81

4) 9.2

This question is incomplete, the complete answer is;

If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.

Below, match each of the four players with their respective z-scores for height.

a. Dustin

b. Ferguson

c. Wilson

d. Crosby

1. A= 0.97

2. B= 0.48

3. C= -1.00

4. D= +1.46

Answer:

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Step-by-step explanation:

Given that;

their mean height u = 73.03

standard deviation α = 2.03

now the z-score height for each player;

a-  Dustin Byfuglien (Winnipeg Jets) Height = 75

z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97

b-  Dylan Ferguson (Vegas Golden Knights) Height = 74

z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48

- Tom Wilson (Washington Capitals) Height = 76

z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46

Sidney Crosby (Pittsburgh Penguins) Height = 71

z = (x - u) / α = (71 - 73.03) / 2.03 =  -2.03 / 2.03 = - 1.00

Therefore

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

Answer:

33/209

Step-by-step explanation:

11*19=209 . 3(11)=33 .  33/209  

Given parameters:

   Length of the rectangle  = [tex]\frac{11}{19}[/tex] mile

   Width of the rectangle  = [tex]\frac{3}{11}[/tex] mile

Unknown:

Area of the rectangle = ?

Solution:

The area of a rectangle is

   Area of rectangle  = length x  width

                                  = [tex]\frac{11}{19}[/tex] x [tex]\frac{3}{11}[/tex]

                                = [tex]\frac{3}{19}[/tex]mile²