F(x)=1/3x+2????????????

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]

Let the question mark be represented by x.

We then have:

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]

We conclude that there are 72 fluid ounces in 9 cups.

Answer:

B

Step-by-step explanation:

Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Answer:

128 square feet

Step-by-step explanation:

Let the perimeter of the rectangular garden be expressed as 2(L+W)

L = length of the garden

W = width of the garden

If the length of the garden is twice its ​ width then L = 2W; W = L/2

P = 2(L+L/2)

Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)

Substituting in the formula above:

32+L = 2(L+L/2)

32+L = 2L+L

32 = 2L

L = 16 feet

Since L = 2W

W = L/2 = 16/2

Width = 8 feet

Area of the garden = Length × Width

Area of the garden = 16×8

Area of the garden = 128 square feet

The area of the​ rectangular garden is equal to 128 square feet.

Given the following data:

Translating the word problem into an algebraic equation, we have;

The length of the garden is twice its​ width:

[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]

Length, L = 16 feet.

For the width:

[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]

Width, W = 8 feet.

Now, we can calculate the area of the​ rectangular garden:

[tex]Area = LW\\\\Area = 16 \times 8[/tex]

Area = 128 square feet.

Read more on area of a rectangle here: https://brainly.com/question/25292087

Answer:

C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

Answer:

2d

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, thus

a₃ - a₁

= a₁ + 2d - a₁

= 2d

Answer:

x = -4

Step-by-step explanation:

Step 1: Subtract 1/2x on both sides

-1/4x - 1/8 = 7/8

Step 2: Add 1/8 on both sides

-1/4x = 1

Step 3: Divide both sides by -1/4

x = -4

Answer:

x = -4

Step-by-step explanation:

1/4x-1/8=7/8+1/2x

Add 1/8 to each side

1/4x-1/8+1/8=7/8+1/8+1/2x

1/4 x = 1 + 1/2x

Subtract 1/2x from each side

1/4x -1/2x = 1 + 1/2x -1/2x

Getting a common denominator for the x terms

1/4x -2/4x =1

-1/4x = 1

Multiply by -4

-4 * -1/4x = 1* -4

x = -4

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

=

n = 0

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Answer:

36 = 6(6)

[tex]x^{2} -(6)^2[/tex]

(x+6)(x-6)

(x+6)(x-6)

Answer:

36°.

Step-by-step explanation:

According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.

m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.

(8x + 16) + (6x - 60) = 180

8x + 6x + 16 - 60 = 180

14x - 44 = 180

14x = 224

x = 16

m∠ABC = 6x - 60

6 * 16 - 60 = 96 - 60 = 36

So, m∠ABC = 36°

Hope this helps!

Answer:

36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180

14x = 224

x = 16

m<ABC = 6x-60

m<ABC = 96-60

m<ABC = 36

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Answer:

1.   2 1/4 cups  

2.  2 7/20 cups

Answer:

2 1/4 and 2 7/20

Step-by-step explanation:

Answer: 4 pounds

Step-by-step explanation:

Mark has $9.10 to buy fruits.

6 pounds of apple at $0.99 will cost $5.94

Balance 9.10 - 5.94 = 3.16

Bananas are $0.79 a pound

For $3.16, he will get

3.16 / 0.79 = 4 pounds of bananas

Answer:

10,000 is the answer to ur question

Answer:

10000

Step-by-step explanation:

√100000000 = 10000

Answer:

y=5 degrees

Step-by-step explanation:

It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.

4y+10=30

4y=20

y=5 degrees

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

Answer:

$36.25+$3.89x≤$58.50

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so  the answer would be $58.50.

Answer:

77

Step-by-step explanation:

you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer

Answer:

See below.

Step-by-step explanation:

June: $32

July: $45

August: $43

[tex]32+45+43=120[/tex]

Kyree has $120 in total.

School supplies: $17

Clothes: $26

[tex]26 +17=43[/tex]

[tex]120-43=77[/tex]

Kyree has $77 left.

:)

Answer: y=-5

Step-by-step explanation:

A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.

Answer:

Hey there!

The line 4x-3y=-9 can be converted to y=mx+b form.

4x-3y=-9

-3y=-4x-9

3y=4x+9

y=4/3x+3

The slope of a line perpendicular to this line would be -3/4.

The slope of a line parallel to this line would be 4/3.

Hope this helps :)

Answer: 19t +100

Step-by-step explanation:

19t +100  where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.

Answer:

19t+100

Step-by-step explanation:

it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute

Answer:

A (0,-3) and D(4,5)

Step-by-step explanation:

Given system of equations

y = x2 - 2x-3

y = 2x - 3

Solution to these will be value of x for which value of y in both equation will  same.

In graph, solution will point at which  curve of both equation intersect each other

To solve this we will equate the two  equations

[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]

Thus, value of x is 0 and 4

we will put this value in given set of equation.

y = 2x- 3

taking x  = 0

y = 2*0 -3 = 0-3 = -3

one solution is (0,-3)

taking x = 4

y = 2*4 - 3 = 8-3 = 5

Another solution is (4,5).

Though , the problem is solved we will see it this value satisfies other equation or not better understanding

y = x^2 - 2x-3

taking x = 0

y = 0^2 - 2*0-3 = -3

one solution (0,-3)

taking x = 4

y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5

other solution (4,5)

thus, we see both equation gives same set of solution.

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]