A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period
beginning in January.
Month, x
Units, y
Which equation best models the situation?
1
800
2
500
3
400
4
300
5
200
6
300
7
450
8
600
9
800

The speed of the boat in still water is 18 mph.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know distance = speed×time.

Therefore, time = distance/speed.

Let, The speed of the boat at still water be 'x'.

Therefore, From the information,

94/(x + 6) = 47/(x - 6).

94(x - 6) = 47(x + 6).

94x - 564 = 47x 282.

47x = 846.

x = 18.

So, The speed of the boat is 18 mph in still water.

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Answer:

33 bags or 33/110 (which can be expressed as about 30%)

Step-by-step explanation:

       BUTTONS   ZIPS

28          Y             N

33          N             Y

49          N             N

The only bags with zips is the second group of 33 bags.  There are 110 bags in total, so the fraction would be (33/110)

The equation represents the amount of juice that remains, y, after x students are served is y = negative one-half x + 32; option C

y = 32 - 1/2x

This can also be written as;

y = -1/2x + 32

Therefore, the correct answer is option C; y = -1/2x + 32

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Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

Using sequences concepts, it is found that:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a(n) = a(0) + nd[/tex]

The sequence {(-3, 7.5) , (-2, 10) , (-1, 12.5)} continues with points (0, 15), (1, 17.5), and so on, hence the first term and the common ratio are given, respectively, by:

a(0) = 15, d = 2.5.

Hence the equation is:

a(n) = 15 + 2.5n.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

For the sequence {(1, 150) , (2, 112.5) , (3, 84.375)}, the first term and the common ratio are given, respectively, by:

[tex]a_1 = 150, q = \frac{112.5}{150} = \frac{84.375}{112.5} = 0.75[/tex]

Hence the equation is given by:

[tex]a_n = 150(0.75)^{n-1}[/tex]

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Your question was incomplete. Please check below the full content.

There are 8 ounces in 1 cup and 16 cups in 1 gallon.

(a) Diane brought 4.5 gallons of water to a campout. How many ounces of water did she bring? Show your work.

(b) Diane started a hike with 24 ounces of water in her backpack. What fraction of a gallon of water did she start the hike with? Show your work.

a) 576 ounces of water Diane brought.

b) 3/16 of a gallon of water did she start the hike with.

Given that there are 8 ounces in 1 cup and 16 cups in 1 gallon. 

a) Amount of water diana brought for campout = 4.5 gallons Ounce of water she brought = 4.5×16×8

= 576ounces

b) Diane started a hike with 24 ounces of water in her backpack.

The fraction of gallons in 24 ounces is calculated as follows:

The fraction of gallons in 24 ounces = 24 / (8×16)

= 3/16

Hence, a) 576 ounces of water Diane brought.

b) 3/16 of a gallon of water did she start the hike with.

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Answer:

x = -1, y = 1.5

Step-by-step explanation:

3x + 6y = 6 -----> x + 2y = 2

-3x + 2y = 6 -----> -3x + 2y = 6

------------------

4x = -4

x = -1, y = 1.5

Answer:

It's the third one

Step-by-step explanation:

The cube root of 1/1000 is 1/10.

The cube root of c^9 is c^3.

The cube root of d^12 id d^4.

When you are doing to roots of variables, just divide :)

9/3 = 3

12/3 = 4

Answer:

x=1

Step-by-step explanation:

8x-5(x-3) = 18

The first step is to distribute

8x -5x+15 = 18

Combine like terms

3x+15 = 18

Subtract 15 from each side

3x+15-15=18-15

3x=3

Divide by 3

3x/3 =3/3

x=1

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

A function is a mathematical statement that defines relation between two variables.

The f(x) = (x+7)²

The equation for g(x) is ?

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-7,2).

g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)

Therefore the equation of the function is

g(x)=(x+7)² -2

Therefore , the translation is a shift of the function f(x) 2 units down

Option  D is the correct answer.

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Answer:

(-4, 0)

Step-by-step explanation:

x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)

Answer:

A'(-4, 0)

Step-by-step explanation:

(x, y) → (x - 2, y + 2)

A(-2,-2 )→ A'(-2-2,-2+2)

= A'(-4,0)

The piece-wise function is defined as follows:

A piece-wise function is a function that has multiple definitions, depending on the input.

In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:

[tex]f(x) = x^2, 0 \leq x < 3[/tex]

For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:

[tex]m = \frac{9 - 4}{3 - 6} = -\frac{5}{3}[/tex]

[tex]f(x) = -\frac{5}{3}x + b[/tex]

Goes through (3,9), hence:

[tex]9 = -\frac{5}{3}(3) + b[/tex]

b = 14.

So

[tex]f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6[/tex]

For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:

[tex]m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}[/tex]

Then:

[tex]f(x) = \frac{3}{2}x + b[/tex]

When x = 10, f(x) = 10, hence:

[tex]10 = \frac{3}{2}(10) + b[/tex]

10 = 15 + b

b = -5.

Hence:

[tex]f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10[/tex]

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Answer:

big bodie built

Step-by-step explanation:

i used to be dusty

Based on the calculations, the value of the given prefix expression is equal to 2205.

The preorder traversal of a tree (T) are typically used in discrete mathematics to determine the value of a prefix expression on a specific expression tree.

For the preorder traversal of this tree (T), we would start from the right most expression:

Prefix expression = * + 3 + 3 ↑ 3 + 3 3 3

Prefix expression = * + 3 + 3 ↑ 3 6 3

Prefix expression = * + 3 + 3  3⁶  3

Prefix expression = * + 3 3 729 3

Prefix expression = * + 3 732 3

Prefix expression = * 735 3   ⇒ 735 × 3

Value = 2205.

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Complete Question:

Given the following prefix expression:

* + 3 + 3 ↑ 3 + 3 3 3

What is the value of the prefix expression?

Answer:

ur missing the question

Step-by-step explanation:

Answer:

The answer is 2

p³ = 8

p = ³√8

p = 2.

Answer:

17

Step-by-step explanation:

8 + h^2

Let h = 3

8 + 3^2

We find the value of 3^2 first using PEMDAS

8 + 9

Then add

17

The result is 17

Solution: 17

Detailed explanation:

[tex]\circ[/tex] Stick in the value of h, which we're provided with (3)

[tex]--\mapsto\boldsymbol{8+(3)^2}[/tex] *

*Be careful here! Here it's very easy to make a mistake, if you aren't familiar with the Order of Operations. The Order of Operations is shown below [tex]\swarrow[/tex]

P=Parentheses

This operation tells us to perform the operations in the parentheses first.

E=Exponents

This one tells us to evaluate all exponents, if any are present.

M=Multiplication | D=Division

These two are completely interchangeable; you can perform Multiplication first and then division, or the other way around.

A=Addition | S=Subtraction

Like the two operations above, A and S are also completely interchangeable.

________________________________________________________

________________________________________________________

Using the information above, let's evaluate (find the value of) the expression [tex]8+h^2[/tex].

We stick in the value of h, 3

[tex]\pmb{8+3^2}[/tex] is what we obtain

Here we see that exponents are  present (3^2) so we'll evaluate that first, as P.E.M.D.A.S. tells us to do.

[tex]\pmb{8+9}[/tex] (3^2=3*3)

And Now we just need to add the numbers

[tex]\boldsymbol{17}[/tex]

Voila! There's our answer!

_____________________

Hope I helped. Best wishes.

Reach far. Aim high. Dream big.

[tex]\cal ReFlEcTioN[/tex]

_____________________

Answer:

parameter

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.

__

Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...

  d + q = 25

and their total value is ...

  0.10d +0.25q = 5.20

Using the first equation to write an expression for d, we can substitute that into the second equation.

  d = 25 -q

  0.10(25 -q) +0.25q = 5.20

  0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50

  q = 18 . . . . . . . . . . . divide by 0.15

  d = 25 -q = 7

You have 18 quarters and 7 dimes.

_____

Additional comment

It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.

The function is a quadratic function, then the domain will be all real numbers. Then the correct option is D.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

y = -2x² + 50x + 300

Then the function is a quadratic function, then the domain will be all real numbers.

Then the correct option is D.

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Answer:

so we need to subtract the situps from the jumping jack so

3/5-1/2

first we need to simplify to the same bottom number

6/10=3/5

5/10=1/2

6/10-5/10=1/10

so 1/10 of 60 is

1/10*60=6

Hope This Helps!!!

The student made an error in step 3. To correct this error, he should define side AY in terms of angle X. Pythagorean theorem relates sides x, y, z, and angle X

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

cosθ = Opp/Hyp

Where:

In this scenario, we can logically deduce that the student made an error in step 3. To correct this error, he should define side AY in terms of angle X.

After correcting this error, the student can use the Pythagorean theorem to relate sides x, y, z, and angle X.

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Answer:

5(a-12)

Step-by-step explanation:

5(a-12)

Answer:

147 miles

Step-by-step explanation:

The first step is to find the number of miles traveled per gallon of gas

63 miles / 3 gallons = 21 miles per gallon

Take the rate and multiply by the number of gallons used to get the distance traveled

d = r * g

d = 21 * 7

d =147

The distance traveled is 147 miles

Answer:

Maybe the answer will be C. P ( A and B )

explanation:

I think it is OPTION C , P(A and B)

as this is the only option which has the value of 80, which we got from the table...

[tex]\huge{\boxed{\mathfrak{ANSWER}}} [/tex]

[tex]a=2+3+10[/tex]

[tex]a = 15 [/tex]

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