Marisa wants to buy a DVD player that runs for at least $150. She already saved $ 80 and plans to save an additional $ 10 each week. Write an inequality that represents this problem and explain your answer in detailed steps.

Answers

Answer 1

Answer: x=number of weeks
the inequality is:
10x+80≥150

Now, we solve this inequality:
10x+80≥150
10x≥150-80
10x≥70
x≥70/10
x≥7

Solution: Marisa needs to save at least 7 weeks for she can buy the DVD

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Suppose f(x) =
${x}^(2)$
. What is the graph of g(x)=1/2f(x)?

Answers

Option-D will represent the required graph of the function $g(x) = (1)/(2)f(x)$ .

What is a function?

"A function is defined as a relation between a set of inputs having one output each."

The given function:

$f(x) = x^(2)$

Therefore the required function is:

$g(x)\n= (1)/(2)f(x)\n= (1)/(2)x^(2)$

By putting the values of 'x' as -2, -1, 0, 1, 2 etc. we get:

$g(-2) = (-2)^(2) = 4\n g(-1) = (-1)^(2) = 1\n g(0) = (0)^(2) = 0\n g(1) = (1)^(2) = 1\n g(2) = (2)^(2) = 4$

By plotting this value, we get option-D is the graph that represents the function g(x).

Learn more about a function here: brainly.com/question/12251916

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Answer:

It's D.

Step-by-step explanation:

The 1/2 stretches the graph horizontally of x^2 by a factor 1/2.

How do you know if an event is likely to happen or unlikely to happen?

Answers

Answer:

You will know if an event is unlikely or unlikely to happen if the following events that happen follow behind it.

Step-by-step explanation:

Help plz I will give you brainiest if its correct :)

Answers

Answer:

The first one

Step-by-step explanation:

it is a, the first one

What is the surface area of the cylinder?Use a = 3.14 and round to the nearest tenth, if needed.
d= 4 cm
8.2 cm
OA) 32.8 cm2
OB) 128.1 cm2
OC) 103 cm2
OD) 422.3 cm?

Answers

$\qquad \qquad\large\rm{Together \: We \: Go \: Far!} \n \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}$

Question :-

A cylinder has a diameter of 4 cm and a height of 8.2 cm. What is the surface area of the cylinder?

Answer :-

The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.

$\rule{180pt}{3pt}$

Diagram :-

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{2 \: cm}}\put(9,17.5){\sf{8.2 \: cm}}\end{picture}$

Solution :-

As per the provided information in the given question, we have been given that the diameter of the cylinder is 4 cm. Thus, the radius of the cylinder is 2 cm. The height of the cylinder is 8.2 cm. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

$\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_((Cylinder)) = 2\pi r^2 + 2\pi rh \:\:}}$

Substitute the given values into the above formula and solve for surfacearea:

$\sf:\implies Surface \: Area_((Cylinder)) = 2\pi r^2 + 2\pi rh$

$\sf:\implies Surface \: Area_((Cylinder)) = (2)(3.14)(2 \: cm)^2 + (2)(3.14)(2 \: cm)(8.2\:cm)$

$\sf:\implies Surface \: Area_((Cylinder)) = (2)(3.14)(4 \: cm^2) + (2)(3.14)(16.4\:cm^2)$

$\sf:\implies Surface \: Area_((Cylinder)) = (2)(12.56 \: cm^2) + (2)(51.496 \: cm^2)$

$\sf:\implies Surface \: Area_((Cylinder)) = 25.12 \: cm^2 + 102.992 \: cm^2$

$\sf:\implies \bf{Surface \: Area_((Cylinder)) = 128.112 \: cm^2}$

Therefore :-

The surface area of the cylinder is 128.112 cm². Thus, the 2ndoption, B makes it as the correctanswer.

$\n$

Learn more about the surface area of the cylinder at brainly.com/question/30914875

Have a great day! <33

Tell whether the pair of polygons are similar. explain why.

Answers

Answer

8/13 = ??? = 2.4/5.2 ??? 8/13 and 24/52 8/13 * 3/3 = 24/39

Step-by-step explanation:

The sum of 15 and 7 times a number is 99

Answers

Answer:

The answer is:

$15+7x=99\nx=12$

Step-by-step explanation:

In order to determine the answer, we have to know about equations.

We use equations when we have to express a problem with variables and values. In this case, we have one variable that expresses "the number" that is mentioned in the statement.

It is important to declare that there is a sequence of resolve the math operations. First it is the multiplying and then the addition.

In this case:

x="a number"

$15+7x=99\n7x=99-15\n7x=84\nx=12$

Finally, we have the following equation of the problem and its solution:

$15+7x=99\nx=12$

15+7x=99
7x=99-15
7x=84
x=12
7*12+15=99

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