MATHEMATICS MIDDLE SCHOOL

Which angle is coternal with 130 degrees?

Answers

Answer 1
Answer:

Answer:

- 230°

Step-by-step explanation:

A coterminal angle is the given angle ± 360n ( where n is an integer )

Given 130°

Then a coterminal angle = 130° - 360° = - 230°

OR 130° + 360° = 490°

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Write a real-world problem that could be represented by the expression 3(23). Then explain how you could solve the problem mentally.

Answers

3(23) really means 3*23, or just 3 multiplied by 23.  For example: "Jana has 23 dollars.  Her friend John has $23, and his friend Jacob also has 23 dollars.  How much money do they have all together?"  To solve this problem mentally, you could break 3*23 into two numbers you're familiar with multiplying, like 20 and 3, and then add the numbers together.  For example: 3*20 + 3*3.  3*20=60, 3*3=9, and 60+9=69.  So, 3*23=69.

Valerie sold 6 tickets to the school play and mark sold 16 tickets. What is the ratio of the number of tickets Valerie sold to the number of tickets mark sold

Answers

3:8 I think it is don't be cerain
6 to 16 or
6;16 or
as a fraction 6 on top and 16 on the bottom

A study found that a​ student's GPA,​ g, is related to the number of hours worked each​ week, h, by the equation g=-0.0007h^2+0.015h+3.03. Estimate the number of hours worked each week for a student with a GPA of 2.15.

Answers

Answer:

A student with GPA of 2.15 worked 47.8 hours per week.

Step-by-step explanation:

To find the numbers of hours worked when the GPA is 2.15, we solve the equation when g=2.15 or:

2.15= -0.0007h^2+0.015h+3.03

which can be rewritten as (by subtracting 2.15 from both sides)

-0.0007h^2+0.015h+0.88=0.

We solve this using the quadratic equation which says, for ax^2+bx+c=0,

x=(-b\pm√(b^2-4ac) )/(2a)

in our case

a=-0.0007

b=0.015,

therefore, we have

x=(-0.015\pm√(0.015^2-4(-0.0007)(0.88)) )/(2((-0.0007) )

x=(-0.015\pm0.051856 )/(-0.0014 )

\boxed{x=47.8}\n\n \boxed{x =-26.3}

and since only the positive solution applies to the real word, we choose x=47.8, and therefore, a student with GPA of 2.15 worked 47.8 hours per week.

The blanco family is deciding between two lawn care services. Evergreen charges a $49 startup fee, plus $29 per month. Great Grass charges a $25 starup fee, plus $37 per month. In how many months will both lawn-care services cost the same? What will the cost be?

Answers

In three months their money will be equal and the amount is $136.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, the Blanco family is deciding between two lawn care services.

Evergreen charges a $49 startup fee, plus $29 per month.

Let the number of months be x.

Here, 49+29x -----(i)

Great Grass charges a $25 starup fee, plus $37 per month.

So, 25+37x ------(ii)

Both lawn-care services cost the same

Equation (i) and (ii) are equal, we get

49+29x=25+37x

37x-29x=49-25

8x=24

x=3

Now, 49+29x=$136

25+37x=$136

Therefore, in three months their money will be equal and the amount is $136.

To learn more about an equation visit:

brainly.com/question/14686792.

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At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. Which of the following represent the acceptable weights for the frozen yogurt options? Select all that apply.

Answers

What are the options?

Anita has 4,128 ice cream sticks. She can make a model of a house using 86 sticks. She can make a model of a castle using 96 sticks. If she makes nothing but model houses, how many can she make using all of the ice cream sticks?

Answers

Answer:

48

Step-by-step explanation:

Since she is making only model houses and no castles, we can exclude the number 96 from our equation. Since you want to know 86 x __ = 4,128, you need to divide. 4128/86= 48.
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