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katen-ka-za [31]

2 years ago

6

H(y) models the leading number of home runs for season y on the National League between the years 2000-2010, according to the ta

ble

2 answers:

alexandr1967 [171]2 years ago

3 0

Answer:

Integers

2000 $\leq$ x $\leq$ 2010

Step-by-step explanation:

spin [16.1K]2 years ago

3 0

Answer:

2000<= x<= 2010

integers

Step-by-step explanation:

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An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns

Mrac [35]

20p - 60 = 20p - 3*20 = 20(p-3)

4 0

1 year ago

Read 2 more answers

Franklin rides his bike to the beach averaging 18mph. He rides home along the same route. What speed must he average on the way

Sedaia [141]

<em>Answer:</em>

<em> 24 mph</em>

<em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

<em>2Vm = V₁ + V₂</em>

<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

<em>V₂ = 2×21mph - 18mph</em>

<em>= 42mph - 18mph</em>

<em>= 24 mph</em>

<em>Good luck !</em>

8 0

2 years ago

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

kap26 [50]

Answer: 0.083

Step-by-step explanation:

Numbers on cube=6

faces on coin=2

Therefore, the total outcomes= $6\times2=12$

Now, the favorable outcome that he rolls a 4 and flips a head=1

The probability that he rolls a 4 and flips a head= $\frac{\text{favorable outcome}}{\text{total outcome}}$

⇒The probability that he rolls a 4 and flips a head= $\frac{1}{12}$ =0.083333\approx0.83.

Therefore, The probability that he rolls a 4 and flips a head=0.083

3 0

2 years ago

Read 2 more answers

It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca

ohaa [14]

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality $25x+200y\geq 1000$

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take $x=20,y=3$

$25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000$

So, $x=20,y=3$ satisfy the inequality $25x+200y\geq 1000$

Take $x=30,y=4$

$25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000$

So, $x=30,y=4$ satisfy the inequality $25x+200y\geq 1000$

Take $x=40,y=5$

$25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000$

So, $x=40,y=5$ satisfy the inequality $25x+200y\geq 1000$

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

5 0

1 year ago

ABCD is a rectangle and A and B are the points (4,2) and (2,8) respectively. Given that the equation of AC is y=x-2, find a) Equ

Rudik [331]

A(4,2), B(2,8)

AC: y=x-2

Point point form for a line through (a,b) and (c,d) is (c-a)(y-b)=(d-b)(x-a)

AB is (2 - 4)(y - 2) = (8-2)(x-4)

-2(y - 2)=6(x-4)

y - 2 = -3(x-4)

y = -3x + 14

BC is perpendicular through B, so slope 1/3 and we calculate the constant as y-(1/3)x:

y = (1/3) x + (8 - (1/3)(2) ) = (1/3) x + 22/3

a)Answer: BC is y = (1/3) x + 22/3

C is the meet of AC and BC,

x - 2 = (1/3) x + 22/3

3x - 6 = x + 22

2x = 28

x = 14

y = x-2 = 12

Check: y = (1/3)x + 22/3 = (14+22)/3 = 36/3 = 12 good

C(14,12)

The remaining corner is D. We have A-B=D-C or

D = A+C-B+C = (4,2)+(14,12)-(2,8) = (16, 6)

b)Answer: B(2,8) [given, but asked for] C(14,12), D(16,6)

8 0

1 year ago