is the following a function?

Answer:

For the $30 2 shirts and 2 hats each one would be $7.50.

For the $65 3 shirts and 8 hats each one would be $5.90

Step-by-step explanation:

Answer:

A shirt x cost $11

and a hat y cost $4

Step-by-step explanation:

Step one

This is a word problem and we can tackle it by expressing it Mathematically

Let us initialize shirt as "x" and hat as "y"

Now

1. 3 shirts and 8 hats cost $65

Mathematically

3x+8y= 65 - - - - - - - 1

2. the cost for 2 shirts and 2 hats is

$30

Mathematically

2x + 2y = 30---------2

We now have two equations with two unknowns

We can solve for the unknown simultaneously

Step a. Multiply equation one by 1

And equation two by 4

3x+8y= 65 - - - - - - - 1

8x + 8y = 120------------2

Step b

Subtracting equation one from two

3x+8y= 65 - - - - - - - 1

-(8x + 8y = 120) ------------2

=-5x+0=-55

-5x=-55

5x=55

x=55/5

x=11

Substituting the value of x in any of the equation above to solve for y say equation 2

2(11) + 2y = 30

22+2y=30

2y= 30-22

2y= 8

y= 8/2

y= 4

Hence a shirt x cost $11

And the hat y cost $4

Answer:

x=6.33

Step-by-step explanation:

4=3x-15

19=3x

6.33=x

f(4) This means that x is 4, so you can plug in 4 for "x" in the equation

f(x) = 3x - 15

f(4) = 3(4) - 15

f(4) = 12 - 15

f(4) = -3

Answer:

Step-by-step explanation:

Yes it is because it can be written in the form y=kx.(y=5/9x)

The constant variation would be 5/9.

Pretty sure this is correct but if not, sorry! Hope this helps.

Answer:

This is a direct variation where the constant of variation is 5/9

Step-by-step explanation:

The equation for direct variation is y = kx

5x-9y =0

Lets try to get this equation in the above form

Add 9y to each side

5x-9y +9y = 9y

5x = 9y

Divide each side by 9

5/9 x = 9y/9

5/9x = y

This is in the form y = k x where k =5/9

Answer:

do it urself

Step-by-step explanation:

The surface area of a box is the sum of the areas of all the rectangular faces of the box.

Let length = x

Let width = y

Let height = h

SA = 2xy + 2xh + 2yh

Plug in the given values into the formula to find the area.

SA = 2(32)(25) + 2(32)(20) + 2(25)(20)

Answer:

D. The plumber charges a flat rate of $75.

Step-by-step explanation:

The vertical intercept is the point where the data intersects the vertical axis.  The vertical axis will be the dependent variable, and the horizontal axis will be the independent variable.  

In this situation, the total cost depends on how many hours the plumber works; this means that the total cost is the dependent variable, going on the vertical axis, and the number of hours is the independent variable, going on the horizontal axis.

The vertical intercept, since it is on the vertical axis, will be where the horizontal axis is 0.  In this situation, this means the cost when the plumber has been there 0 hours; this is the flat-rate fee he charges, $75.

Answer:

Step-by-step explanation:

You plot 13/8 on 1 and 5/8

You plot 20/8 on 2 and 4/8 also known as 1/2

Answer:

see explanation

Step-by-step explanation:

To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.

product = 2 × - 6 = - 12 and sum = + 11

The factors are + 12 and - 1

Use these factors to split the middle term

2x² + 12x - x - 6 = 0 ( factor the first/second and third/fourth terms )

2x(x + 6) - 1(x + 6) = 0 (factor out (x + 6) )

(x + 6)(2x - 1) = 0

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

2x - 1 = 0 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer: C . sin55/8 = sin30/b

Answer:

C. [tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]

Step-by-step explanation:

We have been given that in triangle ABC, mA 55, mB-30, and a 8. We are asked to find the equation that we can use to solve the length of side b.

We will use law of sines to solve our given problem.

[tex]\frac{\text{Sin A}}{a}=\frac{\text{Sin B}}{b}=\frac{\text{Sin C}}{c}[/tex], where A, B and C represents angle of a triangle corresponding to sides a, b and c respectively.

Upon substituting our given values in law of sines we will get,

[tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]

Therefore, the option C is the correct choice.

Answer:

27.52 percent

Step-by-step explanation:

Percentage increase = (new - original)/ original * 100

new = 318270

old = 249583

Substitute in what we know

percentage increase = (318270-249583)/249583 *100

                                     = (68687/249583) *100

                                       .275207045*100

                                       27.5207045 percent

Answer:

28%

Step-by-step explanation:

Answer: You lay out the 3 demential shape into a net then find the area of the net. There are 2 surfaces that are 81 square feet. and 4 surfaces that are 18 feet. 81 + 81 + 18 + 18 + 18 + 18 = 234.

The surface area is 234 Square Feet. Hope this helps and brainliest is always appreciated. :)

Answer: 234

Step-by-step explanation:

Surface area of a rectangular prism: 2lengthheight + 2lengthwidth + 2heightwidth

Length: 9 | Height: 9 | Width: 2

2(9x9) + 2(9x2) + 2(9x2) = 234

Answer:

E

Step-by-step explanation:

57 - 36 =  21              6 - 4 = 2 seconds

21 ÷ 2 = 10.5

Answer:

The average speed of runner is given by option d) 10.5 meters per second.

Step-by-step explanation:

We are given the following information in the question:

A runner’s time was 4 seconds at the 36-meter mark.

A runner’s time was 6 seconds at the 57-meter mark.

Formula:

[tex]\text{Average speed} = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\\\text{where}, y_2, y_1 \text{are the distances at time} x_2, x_1 \text{respectively.}[/tex]

Putting the given values in the question, we have:

[tex]\text{Average speed} = \displaystyle\frac{57-36}{6-4} = \frac{21}{2} = 10.5\text{ meter per second}[/tex]

Hence, the average speed of runner is given by option d) 10.5 meters per second.

km + 5x = 6y

Subtract 5x from each side:

km = 6y - 5x

Divide both sides by k:

m = 6y - 5x / k

Answer:

Step-by-step explanation:

m=-5x/k+6y/k

Answer:

XD ok first cause u need to know how to do this (-)negetive numbers r eazy its just backwards from other numbers, if the the number has a (-) then just remember its smaller if the number is big so if it say -5 and -4 which one is grater or something its realy the smaller one cause it has a (-) so the answer would be -4 is bigger. ok so for your Q the smallest to gratest would be fist the biggest normal number that dose not have a (-) then after that you do the (-) numbers... - 5.25 is bigger , but it has a (-) so its realy actualy smaller, and -5.09 is bigger that -5.25 because its smaller with a (-) SO THE ANSWER to your Q is: -5.25, -5.09, 1.002

Step-by-step explanation:

The absolute values of 0.525 and -0.067 are 0.525 and 0.067, respectively. Therefore, |0.525| is greater than |-0.067|.

To compare the absolute values of 0.525 and
-0.067
, we need to understand what absolute value means. The absolute value of a number is the non-negative value of that number without regard to its sign. So, for both positive and negative numbers, the absolute value is always positive or zero.

The absolute value of any number is represented by two vertical lines on either side of the number, for instance, |0.525| and |-0.067|. When we calculate these:

Comparing the two absolute values, we see that 0.525 is greater than 0.067. Therefore, |0.525| > |-0.067|.

Answer:

Step-by-step explanation:

you're going to have a vertical line at -1, and then shade the region to the left. The line should be dashed, not solid.

Answer: 0.4 which is choice C

====================================

Work Shown

Focus on the "riverside high school" row only

A = number of twelfth graders = 200

B = number of students = 500

P = probability of picking a twelfth grader

P = A/B

P = 200/500

P = 2/5

P = 0.4

The probability that a randomly selected riverside high school student is in twelfth grade is 0.4

The probability of an event occurring, it is calculated by the ratio of favorable cases to the total number of possible cases.

P(Event) = Favorable outcomes/ Total no. of outcomes

Now, the total no. of students studying in Riverside High School = 500

The no. of students studying in 12th grade in Riverside High School= 200

P(student in 12th grade in Riverside High School) = 200/500

P(student in 12th grade in Riverside High School) = 0.4

Hence the probability that a randomly selected riverside high school student is in twelfth grade is 0.4.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ2

Answer:

It will cost Lou $28.86 to fill the tank

Step-by-step explanation:

Lou's tank holds 14 gallons.  It has 6.2 gallons in it.  

14- 6.2  = 7.8

Lou can put in 7.8 gallons to fill it.

7.8 gallons and $3.70

7.8 * 3.7 = $28.86

It will cost Lou $28.86 to fill the tank

Answer:

14 cookies were baked

Step-by-step explanation:

Using a system of equations, we find that 21 cookies were sold after setting up the equations based on cost per item and total sales, and solving for the two variables representing cookies and cupcakes.

The student's question is about how many cookies were sold given that a cookie costs $0.45 and a cupcake costs $0.65, and 35 baked goods in total were sold for $18.55.

To solve this, we can set up a system of equations:

Let x represent the number of cookies sold.

Let y represent the number of cupcakes sold.

We are given two equations based on the problem statement:

x + y = 35 (since 35 total baked goods were sold)

0.45x + 0.65y = 18.55 (since the total cost of the goods sold was $18.55)

Solving the system of equations, we first multiply the first equation by 0.45:

(1) 0.45x + 0.45y = 15.75

Subtract this from the second equation:

0.20y = 2.80 (subtracting the first modified equation from the second original equation)

Divide both sides by 0.20 to find y:

y = 14

Then we substitute y into the first equation to find x:

x + 14 = 35

x = 21

So 21 cookies were sold.

Answer:

There are no solutions

Step-by-step explanation:

4x-1 = 2(2x-1)

The first step is to distribute the 2

4x-1 = 2*2x-2*1

4x-1 = 4x-2

Subtract 4x from each side

4x-4x-1 = 4x-4x-2

-1=-2

Since this is not true, there are no solutions

Answer:

x = 0.1

hope this is helpful

Answer:

$22.1

Step-by-step explanation:

To solve this, you must multiply the amount of the items by its cost.

This is the amount of yams in decimal form: [tex]4\frac{1}{2}[/tex] = 4.5

This is the amount of carrots in decimal form: [tex]4\frac{3}{10}[/tex] = 4.3

4.5 * 3 = 13.5

4.3 * 2 = 8.6

Now we add them together to get the total cost.

13.5 + 8.6 = 22.1

Answer:

$22.10

Step-by-step explanation:

This is simple multiplication.

1. It may help you to simplify the pound values. 4 and 1/2 is really 4.5, and 4 and 3/10 is really 4.3

2. We know what the cost is per pound, and we know how many pounds we have. We simply multiply.

4.5 pounds of yams * $3 per pound = 13.5

4.3 pounds of carrots * $2 per pound = 4.3*2 = 8.6

3. Add the values

13.5+8.6 = 22.1 = $22.10

[tex]f(x)=6x^2-3,\ f(x)=3\\\\\text{The equation}\\\\6x^2-3=3\qquad\text{add 3 to both sides}\\\\6x^2=6\qquad\text{divide both sides by 6}\\\\x^2=1\to x=\pm\sqrt1\\\\\boxed{x=-1\ \vee\ x=1}[/tex]

Answer:

He needs 4 1/3 buckets of fish.

Step-by-step explanation:

140 - 75 = 65 pounds of fish left to eat

15x = 65

x = 65 / 15

x = 4  1/3 buckets of fish left to eat

Answer:

2496144

Step-by-step explanation:

Total number of members of the senate on the finance committee (n)= 24

Number of members in each subcommittee(r) = 13

We need to make use of the combinations formula

C(n,r) = [tex]\frac{n!}{r!(n-r)!}[/tex]

1) Plugging in the values of n and r into formula, we get

C(24,13) = [tex]\frac{24!}{13!(24-13)!}[/tex]

= [tex]\frac{24!}{13!*11!}[/tex]

= [tex]\frac{24*23*22*21*20*19*18*17*16*15*14*13!}{13!*11!}[/tex]

2) Cancelling out the 13! from the top and bottom, we get

= [tex]\frac{24*23*22*21*20*19*18*17*16*15*14}{11!}[/tex]

= [tex]\frac{24*23*22*21*20*19*18*17*16*15*14}{11*10*9*8*7*6*5*4*3*2*1}[/tex]

3) Upon simplifying the numbers on the top and bottom, we get

C(24,13) = 2496144

Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.

How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.

Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.

Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)

Answer:

the answer is is 225

Step-by-step explanation

(5 - - 9)^2 + (8 - -3)^2

(9)^2 + (12)^2

81 +144

225

Answer:

The answer is 6.1

Step-by-step explanation:

(-4,3)(5,9)

√(-4-5)^2 + (3 - 9)^2

√-1^2 + -6^2

√1 + 36

√37

= 6.1

Answer:  The correct option is (B) 55°.

Step-by-step explanation:  We are given to find the measure of angle 1 in the trapezoid shown in the figure.

We know that

one pair of sides of a trapezoid are parallel to each other.

As shown in the figure, the base of the trapezoid and its opposite side are parallel to each other.

Also, they are cut by a tranversal such that the angle 1 and the angle with measure 125°  are interior angles on the same side of the transversal.

So, the sum of the measures must be equal to 180°.

That is,

[tex]125^\circ+m\angle 1=180^\circ\\\\\Rightarrow m\angle 1=180^\circ-125^\circ\\\\\Rightarrow m\angle 1=55^\circ.[/tex]

Thus, the required measure of angle 1 is 55°.

Option (B) is CORRECT.

[tex]\begin{array}{ccc}6\ weeks&-&12\ kg\\9\ weeks&-&x\ kg\end{array}\qquad\text{cross multiply}\\\\(6)(x)=(9)(12)\\\\6x=108\qquad\text{divide both sides by 6}\\\\\boxed{x=18}\\\\Answer:\ \text{Eli's office recycled 18\ kg\ of\ paper.}[/tex]

Answer:

(- 2, - 1)

Step-by-step explanation:

To determine which ordered pair is a solution of the inequality, substitute the x-coordinate into the left side and compare validity with the y-coordinate

(- 2, - 1)

- 6 + 5 = - 1 = - 1 → (- 2, - 1) is a solution

(2, - 1)

6 + 5 = 11 > - 1 → (2, - 1) is not a solution

(3, - 5)

9 + 5 = 14 > - 5 → (3, - 5) is not a solution

(- 3, - 5)

- 9 + 5 = - 4 > - 5 → is not a solution

The only pair that makes the inequality true is (- 2, - 1 )