Joe and Cody each improved their yards by planting hostas and shrubs. They bought their
supplies from the same store. Joe spent $64 on 6 hostas and 2 shrubs. Cody spent $54 on 5
hostas and 2 shrubs. Find the cost of one hosta and the cost of one shrub.

Answer:

29

Step-by-step explanation:

Let Jiri's age be 'x'. Pamela's age is 3x since Pamela's age is three times Jiri's age.

The sum of their ages is 116:

x + 3x = 116

4x = 116

x = 116 ÷ 4 = 29

x = 29

Jiri's age is 29

Sin function goes up and down, standard amplitude is 1 unit. The sin function modelling the given situation is [tex]f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]

Suppose that we've got

[tex]f(x) = a\sin(bx + c) + d[/tex]

It has got

The situation given has:

Maximum blood pressure as 120 mm/Hg = a + d

Minimum blood pressure as 60 mm/Hg = -a + d

Thus, adding both will give:

[tex](a+d) + (-a + d) = 120 + 60\\2d = 180\\d = 90[/tex]

Thus, as a + d = 120, thus, a = 120-d = 120 - 90 = 30

Now, The period is given to  be 10 minutes, or we get:

[tex]\dfrac{2\pi}{b} = 10\\\\b = \dfrac{\pi}{5}[/tex]

Since count started from 0, thus, c= 0

Therefore, the sine function modelling the given situation is:

[tex]f(x) = a\sin(bx + c) + d \\\\f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]

Here x is the number of minutes passed.

Learn more about sine function modelling the situation here:

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Answer:

A

Step-by-step explanation:

Answer:

8x² + 4x - 10

Step-by-step explanation:

     We will use the order of PEMDAS to solve

-> See attached

(6x+7) (3x-1) - (5x+3) (2x+1)​

   (6x+7) (3x-1) becomes 18x² - 6x + 21x - 7 which is equal too 18x² + 15x - 7

   (5x+3) (2x+1)​ becomes 10x² + 6x + 5x + 3 which is equal too 10x² + 11x + 3

(18x² + 15x - 7) - (10x² + 11x + 3)

   18x² - 10x² = 8x²

   15x - 11x = 4x

   -7 - 3 = -10

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

x=5, y=6

Step-by-step explanation:

Double the second equation to give you:

-2x+2y=2

Now we add the 2 equations to eliminate the y:

3x-2y=3

  +

-2x+2y=2

x=5

Now we substitute this value to give us:

3(5)-2y=3

15-2y=3

-12=-2y

y=6
You can substitute both these values in equation 2 to see if it works:

-x+y=1

-(5)+6=1 ✅

Answer:

25

Step-by-step explanation:

Your answer is 25.

More than meaning adding

Less than meaning subtraction

Brainliest? :)

The cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70

A  random variable is usually taking some numerical information of each elementary event of the sample space . (map from sample space to real numbers). Its expected value is the best prediction value in most of the cases. It is the mean or average value of that random variable.

Supposing that the considered random variable is discrete, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\[/tex]

where [tex]x_i; \: \: i = 1,2,.. , n[/tex] is its n data values

and  [tex]f(x_i)[/tex] probability of [tex]X = x_i[/tex]

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

If assuming that X = Fuel cost per gallon, then

E(X) = Average fuel cost per gallon that the company should budget (its per gallon, means for a gallon)

Using the tabulated value given in the problem, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\\\\\E(X) = 3.10 \times 0.2 + 3.5 \times 0.3 + 4.05 \times 0.5 = 3.695 \approx 3.70[/tex] (in dollars)

(we converted percentage to probability).

Thus, the cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70

Learn more about expectation of a random variable here:

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Answer:

D is the correct answer! ~Hope this helps!

Step-by-step explanation:

Work:

Answer:

Step-by-step explanation:

10? i believe so if not then one or two more

Answer:

See below.

Step-by-step explanation:

3*3.14 = 9.42

9.42+5 = 14.42

The answer is point A.

-hope it helps

Answer:

A

Step-by-step explanation:

Pi has an infinite number of digits, but you don't need very many of them to answer the question!

[tex]\pi \approx 3.14[/tex] (the symbol  [tex]\approx[/tex]  means "approximately equal to").

The quantity [tex]3\pi + 5 \approx 3(3.14)+5=9.42+5=14.42[/tex].  In other words, you are looking for a point between 14 and 15.  It's point A.

Answer:

first photo Answer12-4m secend 2.3/8y+6

Answer:

Option C

Step-by-step explanation:

280 sampling would be appropriate to survey 280,000 people

Please mark as Brainliest!!

Answer:

wait do u have a word bank or anything like words to go with it or numbers ????

Answer: there is no b and c so you cant find b and c

Step-by-step explanation:

Answer:

The answer is---

x=10

Step-by-step explanation:

(4x+9)+(7x+4)+57=180

11x+13+57=180

11x=110

x=10

The value of n is 20 from the given indices

Given the exponential function expressed as:

[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{0.001}}.\][/tex]

This can be further expressed as:

[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{10^{-3}}}.\\\[10^n = 10^{3}\sqrt{10^{34}\\10^n = 10^3\cdot 10^{17}[/tex]

Since the use are equal, add the exponents

[tex]10^n= 10^{3+17}\\10^n=10^{20}\\n=20[/tex]

Hence the value of n is 20 from the given indices

Learn more on indices here: https://brainly.com/question/10339517

Answer:

20

Step-by-step explanation:

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex]-2x^2(x+6) = -2x^{2+1} -12x^2 =-2x^3 -12x^2[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

Also, we've

[tex](-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

That's why [tex]-2 \times 6 = -12[/tex]

Thus,

The product of  [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]

Learn more about product of polynomials here:

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Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

3x14=42

110-42=68

So, Matry will have 68 dollars after 14 days. If you dont mind, mark me  brainliest?

Answer:

$58

Step-by-step explanation:

Per day- $3

14 days- 14($3)

so, 14 days he spends $52

Then, He had $110 originally, so to find how much he has left:

110-52=58

So, he has $58 now.

Answer:

x=5

y=3

NOW,

or,x×y

or,5×3

or,15 answer

Answer:

15

Step-by-step explanation:

This indicates the multiplication operation.

Given: x =5, y=3

xy= 5 and 3

5 * 3 = 15

xy= 15

Answer:

13.75

Step-by-step explanation:

1.  12 = 4(4) ----> 12 = 16

2. 12 = -3(4) ------>12 = -12

3. 12 = 3(4) -------->12 = 12

4. 12 =  1/3(4) --------> 12 =  4/3

Answer:

we divide both 30 and 56 by the greatest common factor to get the following simplified fraction: 15/28 Therefore, this equation is true:

Answer:

x = 3

Step-by-step explanation:

3x+x+x+x-3-2=7+x+x

3x+x+x+x-x-x= 7 + 3 +2

3x+x = 12

4x = 12

x = 3

Answer:

35 milk chocolates

Step-by-step explanation:

5/12 for first bag

5 x 5 = 25

12 x 5 = 60

25/60

25 of the total chocolate are dark and there are only two types of chocolate in the bag (milk and dark)

60 - 25 = 35

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

[tex]I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800[/tex]

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

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Hi!

I will help you with joy!

Let's take a look at our pattern.

12, 11, 15, 14, _

Here, we subtract 1, then add 4, then subtract 1, then add 4.

Thus, the next number in the pattern will be 18.

12, 11, 15, 14, 18

The next number will be 17, and so on...

I hope it helps!

Ask me if you have any queries.

Misty ~

[tex]\bf{Grace}\sf{ful\rm{Teen[/tex]

Enjoy your day!

Answer:

The Answer Should Be 20

explanation:

Hope This Helps :)